메뉴 건너뛰기




Volumn 2010, Issue 2, 2010, Pages

Gauge theory loop operators and Liouville theory

Author keywords

Duality in gauge field theories; Field theories in lower dimensions; Supersymmetric gauge theory

Indexed keywords


EID: 77954660763     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP02(2010)057     Document Type: Article
Times cited : (212)

References (70)
  • 1
    • 49449124108 scopus 로고
    • Magnetic monopoles as gauge particles?
    • [SPIRES]
    • C. Montonen and D.I. Olive, Magnetic monopoles as gauge particles?, Phys. Lett. B 72 (1977) 117 [SPIRES].
    • (1977) Phys. Lett. B , vol.72 , pp. 117
    • Montonen, C.1    Olive, D.I.2
  • 2
    • 33646057161 scopus 로고
    • Supersymmetry algebras that include topological charges
    • [SPIRES]
    • E. Witten and D.I. Olive, Supersymmetry algebras that include topological charges, Phys. Lett. B 78 (1978) 97 [SPIRES].
    • (1978) Phys. Lett. B , vol.78 , pp. 97
    • Witten, E.1    Olive, D.I.2
  • 3
    • 0000904071 scopus 로고
    • Topological charges for N = 4 supersymmetric gauge theories and monopoles of spin 1
    • [SPIRES]
    • H. Osborn, Topological charges for N = 4 supersymmetric gauge theories and monopoles of spin 1, Phys. Lett. B 83 (1979) 321 [SPIRES].
    • (1979) Phys. Lett. B , vol.83 , pp. 321
    • Osborn, H.1
  • 4
    • 24844440733 scopus 로고
    • Gauge theories and magnetic charge
    • [SPIRES]
    • P. Goddard, J. Nuyts and D.I. Olive, Gauge theories and magnetic charge, Nucl. Phys. B 125 (1977) 1 [SPIRES].
    • (1977) Nucl. Phys. B , vol.125 , pp. 1
    • Goddard, P.1    Nuyts, J.2    Olive, D.I.3
  • 5
    • 0346866199 scopus 로고
    • Monopoles, duality and chiral symmetry breaking in N = 2 supersymmetric QCD
    • [hep-th/9408099] [SPIRES]
    • N. Seiberg and E. Witten, Monopoles, duality and chiral symmetry breaking in N = 2 supersymmetric QCD, Nucl. Phys. B 431 (1994) 484 [hep-th/9408099] [SPIRES].
    • (1994) Nucl. Phys. B , vol.431 , pp. 484
    • Seiberg, N.1    Witten, E.2
  • 6
    • 0000440730 scopus 로고    scopus 로고
    • S-duality and global symmetries in N = 2 supersymmetric field theory
    • [hep-th/9706095] [SPIRES]
    • P.C. Argyres, S-duality and global symmetries in N = 2 supersymmetric field theory, Adv. Theor. Math. Phys. 2 (1998) 293 [hep-th/9706095] [SPIRES].
    • (1998) Adv. Theor. Math. Phys. , vol.2 , pp. 293
    • Argyres, P.C.1
  • 7
    • 0031234520 scopus 로고    scopus 로고
    • Solutions of four-dimensional field theories via M-theory
    • [hep-th/9703166] [SPIRES]
    • E. Witten, Solutions of four-dimensional field theories via M-theory, Nucl. Phys. B 500 (1997) 3 [hep-th/9703166] [SPIRES].
    • (1997) Nucl. Phys. B , vol.500 , pp. 3
    • Witten, E.1
  • 11
    • 11244326926 scopus 로고    scopus 로고
    • Seiberg-Witten prepotential from instanton counting
    • [hep-th/0206161] [SPIRES]
    • N.A. Nekrasov, Seiberg-Witten prepotential from instanton counting, Adv. Theor. Math. Phys. 7 (2004) 831 [hep-th/0206161] [SPIRES].
    • (2004) Adv. Theor. Math. Phys. , vol.7 , pp. 831
    • Nekrasov, N.A.1
  • 14
    • 0035605142 scopus 로고    scopus 로고
    • Liouville theory revisited
    • [hep-th/0104158] [SPIRES]
    • J. Teschner, Liouville theory revisited, Class. Quant. Grav. 18 (2001) R153 [hep-th/0104158] [SPIRES].
    • (2001) Class. Quant. Grav. , vol.18
    • Teschner, J.1
  • 15
    • 4944262431 scopus 로고    scopus 로고
    • A lecture on the Liouville vertex operators
    • [hep-th/0303150] [SPIRES]
    • J. Teschner, A lecture on the Liouville vertex operators, Int. J. Mod. Phys. A 19S2 (2004) 436 [hep-th/0303150] [SPIRES].
    • (2004) Int. J. Mod. Phys. A , vol.19 S2 , pp. 436
    • Teschner, J.1
  • 17
    • 0000831831 scopus 로고    scopus 로고
    • Wilson loops in large-N field theories
    • [hep-th/9803002] [SPIRES]
    • J.M. Maldacena, Wilson loops in large-N field theories, Phys. Rev. Lett. 80 (1998) 4859 [hep-th/9803002] [SPIRES].
    • (1998) Phys. Rev. Lett. , vol.80 , pp. 4859
    • Maldacena, J.M.1
  • 18
    • 0041348961 scopus 로고    scopus 로고
    • Macroscopic strings as heavy quarks in large-N gauge theory and anti-de Sitter supergravity
    • [hep-th/9803001] [SPIRES]
    • S.-J. Rey and J.-T. Yee, Macroscopic strings as heavy quarks in large-N gauge theory and anti-de Sitter supergravity, Eur. Phys. J. C 22 (2001) 379 [hep-th/9803001] [SPIRES].
    • (2001) Eur. Phys. J. C , vol.22 , pp. 379
    • Rey, S.-J.1    Yee, J.-T.2
  • 19
    • 0034726216 scopus 로고    scopus 로고
    • Wilson loops in N = 4 supersymmetric Yang-Mills theory
    • [hep-th/0003055] [SPIRES]
    • J.K. Erickson, G.W. Semenoff and K. Zarembo, Wilson loops in N = 4 supersymmetric Yang-Mills theory, Nucl. Phys. B 582 (2000) 155 [hep-th/0003055] [SPIRES].
    • (2000) Nucl. Phys. B , vol.582 , pp. 155
    • Erickson, J.K.1    Semenoff, G.W.2    Zarembo, K.3
  • 20
    • 0035402795 scopus 로고    scopus 로고
    • An exact prediction of N = 4 SUSYM theory for string theory
    • [hep-th/0010274] [SPIRES]
    • N. Drukker and D.J. Gross, An exact prediction of N = 4 SUSYM theory for string theory, J. Math. Phys. 42 (2001) 2896 [hep-th/0010274] [SPIRES].
    • (2001) J. Math. Phys. , vol.42 , pp. 2896
    • Drukker, N.1    Gross, D.J.2
  • 21
    • 33745748891 scopus 로고    scopus 로고
    • Wilson-'t Hooft operators in four-dimensional gauge theories and S-duality
    • [hep-th/0501015] [SPIRES]
    • A. Kapustin, Wilson-'t Hooft operators in four-dimensional gauge theories and S-duality, Phys. Rev. D 74 (2006) 025005 [hep-th/0501015] [SPIRES].
    • (2006) Phys. Rev. D , vol.74 , pp. 025005
    • Kapustin, A.1
  • 24
    • 70350003546 scopus 로고    scopus 로고
    • S-duality, 't Hooft operators and the operator product expansion
    • [arXiv:0906.3011] [SPIRES]
    • J. Gomis and T. Okuda, S-duality, 't Hooft operators and the operator product expansion, JHEP 09 (2009) 072 [arXiv:0906.3011] [SPIRES].
    • (2009) JHEP , vol.9 , pp. 072
    • Gomis, J.1    Okuda, T.2
  • 25
    • 70350033487 scopus 로고    scopus 로고
    • Loop operators and S-duality from curves on Riemann surfaces
    • [arXiv:0907.2593] [SPIRES]
    • N. Drukker, D.R. Morrison and T. Okuda, Loop operators and S-duality from curves on Riemann surfaces, JHEP 09 (2009) 031 [arXiv:0907.2593] [SPIRES].
    • (2009) JHEP , vol.9 , pp. 031
    • Drukker, N.1    Morrison, D.R.2    Okuda, T.3
  • 27
    • 4944226046 scopus 로고    scopus 로고
    • On the relation between quantum Liouville theory and the quantized Teichmueller spaces
    • [hep-th/0303149] [SPIRES]
    • J. Teschner, On the relation between quantum Liouville theory and the quantized Teichmueller spaces, Int. J. Mod. Phys. A 19S2 (2004) 459 [hep-th/0303149] [SPIRES].
    • (2004) Int. J. Mod. Phys. A , vol.19 S2 , pp. 459
    • Teschner, J.1
  • 28
    • 79960159834 scopus 로고    scopus 로고
    • From Liouville theory to the quantum geometry of Riemann surfaces in ,Prospects in mathematical physics
    • American Mathematical Society, Providence U.S.A. (2007) [hep-th/0308031] [SPIRES]
    • J. Teschner, From Liouville theory to the quantum geometry of Riemann surfaces, in Prospects in mathematical physics, Contemp. Math. 437 (2007) 231, American Mathematical Society, Providence U.S.A. (2007) [hep-th/0308031] [SPIRES].
    • (2007) Contemp. Math. , vol.437 , pp. 231
    • Teschner, J.1
  • 29
    • 55049098060 scopus 로고    scopus 로고
    • An analog of a modular functor from quantized Teichmüller theory
    • IRMA Lect. Math. Theor. Phys., European Mathematical Society, Zürich Switzerland (2007) [math.QA/0510174 [SPIRES]
    • J. Teschner, An analog of a modular functor from quantized Teichmüller theory, in Handbook of Teichmüller theory. Volume I, IRMA Lect. Math. Theor. Phys. 11 (2007) 685, European Mathematical Society, Zürich Switzerland (2007) [math.QA/0510174 [SPIRES].
    • (2007) Handbook of Teichmüller Theory I. , vol.11 , pp. 685
    • Teschner, J.1
  • 30
    • 0000908438 scopus 로고
    • Conformal field theory, 2D quantum gravity and quantization of Teichmüller space
    • [SPIRES]
    • H.L. Verlinde, Conformal field theory, 2D quantum gravity and quantization of Teichmüller space, Nucl. Phys. B 337 (1990) 652 [SPIRES].
    • (1990) Nucl. Phys. B , vol.337 , pp. 652
    • Verlinde, H.L.1
  • 32
    • 0010882054 scopus 로고
    • Infinite conformal symmetry in two-dimensional quantum field theory
    • [SPIRES]
    • A.A. Belavin, A.M. Polyakov and A.B. Zamolodchikov, Infinite conformal symmetry in two-dimensional quantum field theory, Nucl. Phys. B 241 (1984) 333 [SPIRES].
    • (1984) Nucl. Phys. B , vol.241 , pp. 333
    • Belavin, A.A.1    Polyakov, A.M.2    Zamolodchikov, A.B.3
  • 33
    • 4644307874 scopus 로고
    • Two and three point functions in Liouville theory
    • [hep-th/9403141] [SPIRES]
    • H. Dorn and H.J. Otto, Two and three point functions in Liouville theory, Nucl. Phys. B 429 (1994) 375 [hep-th/9403141] [SPIRES].
    • (1994) Nucl. Phys. B , vol.429 , pp. 375
    • Dorn, H.1    Otto, H.J.2
  • 34
    • 0030583445 scopus 로고    scopus 로고
    • Structure constants and conformal bootstrap in Liouville field theory
    • [hep-th/9506136] [SPIRES]
    • A.B. Zamolodchikov and A.B. Zamolodchikov, Structure constants and conformal bootstrap in Liouville field theory, Nucl. Phys. B 477 (1996) 577 [hep-th/9506136] [SPIRES].
    • (1996) Nucl. Phys. B , vol.477 , pp. 577
    • Zamolodchikov, A.B.1    Zamolodchikov, A.B.2
  • 36
    • 70350012584 scopus 로고
    • On curve systems on two-sided surfaces, with application to the mapping problem
    • translated from the German by J. Stillwell, Springer-Verlag, New York U.S.A.
    • M. Dehn, On curve systems on two-sided surfaces, with application to the mapping problem, in Papers on group theory and topology, translated from the German by J. Stillwell, Springer-Verlag, New York U.S.A. (1987), pg. 234.
    • (1987) Papers on Group Theory and Topology , pp. 234
    • Dehn, M.1
  • 37
    • 84968476184 scopus 로고
    • On the geometry and dynamics of diffeomorphisms of surfaces
    • W.P. Thurston, On the geometry and dynamics of diffeomorphisms of surfaces, Bull. Am. Math. Soc. 19 (1988) 417.
    • (1988) Bull. Am. Math. Soc. , vol.19 , pp. 417
    • Thurston, W.P.1
  • 39
    • 45549111952 scopus 로고
    • Fusion rules and modular transformations in 2D conformal field theory
    • [SPIRES]
    • E.P. Verlinde, Fusion rules and modular transformations in 2D conformal field theory, Nucl. Phys. B 300 (1988) 360 [SPIRES].
    • (1988) Nucl. Phys. B , vol.300 , pp. 360
    • Verlinde, E.P.1
  • 40
    • 0346763470 scopus 로고
    • Classical and quantum conformal field theory
    • [SPIRES]
    • G.W. Moore and N. Seiberg, Classical and quantum conformal field theory, Commun. Math. Phys. 123 (1989) 177 [SPIRES].
    • (1989) Commun. Math. Phys. , vol.123 , pp. 177
    • Moore, G.W.1    Seiberg, N.2
  • 41
    • 0041038109 scopus 로고
    • Presented at Trieste Spring School, Trieste Italy, [SPIRES]
    • G.W. Moore and N. Seiberg, Lectures on RCFT, presented at Trieste Spring School, Trieste Italy (1989) [SPIRES].
    • (1989) Lectures on RCFT
    • Moore, G.W.1    Seiberg, N.2
  • 43
    • 0009943947 scopus 로고
    • The action of the mapping class group on curves in surfaces
    • R.C. Penner, The action of the mapping class group on curves in surfaces, Enseign. Math. 30 (1984) 39.
    • (1984) Enseign. Math. , vol.30 , pp. 39
    • Penner, R.C.1
  • 44
    • 0001600758 scopus 로고
    • On the Liouville equation, accessory parameters and the geometry of Teichmüller space for Riemann surfaces of genus 0
    • P.G. Zograf and L.A. Takhtadzhyan, On the Liouville equation, accessory parameters and the geometry of Teichmüller space for Riemann surfaces of genus 0, Mat. Sbornik 132(174) (1987) 147
    • (1987) Mat. Sbornik , vol.132 , Issue.174 , pp. 147
    • Zograf, P.G.1    Takhtadzhyan, L.A.2
  • 45
    • 77954907755 scopus 로고
    • [Math. USSR Sb. 60(1) (1988) 143].
    • (1988) Math. USSR Sb. , vol.60 , Issue.1 , pp. 143
  • 46
    • 0041362452 scopus 로고
    • On the uniformization of Riemann surfaces and on the Weil-Petersson metric on the Teichmüller and Schottky spaces
    • P.G. Zograf and L.A. Takhtadzhyan, On the uniformization of Riemann surfaces and on the Weil-Petersson metric on the Teichmüller and Schottky spaces, Mat. Sbornik 132(174) (1987) 304
    • (1987) Mat. Sbornik , vol.132 , Issue.174 , pp. 304
    • Zograf, P.G.1    Takhtadzhyan, L.A.2
  • 47
    • 77954942988 scopus 로고
    • [Math. USSR Sb. 60(2) (1988) 297].
    • (1988) Math. USSR Sb. , vol.60 , Issue.2 , pp. 297
  • 48
    • 0000045893 scopus 로고
    • The decorated Teichmüller space of punctured surfaces
    • R.C. Penner, The decorated Teichmüller space of punctured surfaces, Commun. Math. Phys. 113 (1987) 299.
    • (1987) Commun. Math. Phys. , vol.113 , pp. 299
    • Penner, R.C.1
  • 50
    • 84972530268 scopus 로고
    • Weil-Petersson volumes
    • R.C. Penner, Weil-Petersson volumes, J. Diff. Geom. 35 (1992) 559.
    • (1992) J. Diff. Geom. , vol.35 , pp. 559
    • Penner, R.C.1
  • 51
    • 0010949352 scopus 로고
    • Uniformization, local index theorem, and geometry of the moduli spaces of Riemann surfaces and vector bundles, in Theta functions - Bowdoin 1987
    • U.S.A.
    • L.A. Takhtajan, Uniformization, local index theorem, and geometry of the moduli spaces of Riemann surfaces and vector bundles, in Theta functions - Bowdoin 1987, Proc. Symp. Pure Math. 49, U.S.A. (1989).
    • (1989) Proc. Symp. Pure Math. , vol.49
    • Takhtajan, L.A.1
  • 52
    • 0037408043 scopus 로고    scopus 로고
    • Hyperbolic 2-spheres with conical singularities, accessory parameters and Kähler metrics on M0,n
    • [math.CV/0112170] [SPIRES]
    • L. Takhtajan and P. Zograf, Hyperbolic 2-spheres with conical singularities, accessory parameters and Kähler metrics on M0,n, Trans. Am. Math. Soc. 355 (2003) 1857 [math.CV/0112170] [SPIRES].
    • (2003) Trans. Am. Math. Soc. , vol.355 , pp. 1857
    • Takhtajan, L.1    Zograf, P.2
  • 53
    • 0033234809 scopus 로고    scopus 로고
    • A quantum Teichmüller space
    • L. Chekhov and V.V. Fock, A quantum Teichmüller space, Theor. Math. Phys. 120 (1999) 1245
    • (1999) Theor. Math. Phys. , vol.120 , pp. 1245
    • Chekhov, L.1    Fock, V.V.2
  • 54
    • 0039637527 scopus 로고    scopus 로고
    • [math.QA/9908165] [SPIRES]
    • [Teor. Mat. Fiz. 120 (1999) 511] [math.QA/9908165] [SPIRES].
    • (1999) Teor. Mat. Fiz. , vol.120 , pp. 511
  • 55
    • 0001739291 scopus 로고    scopus 로고
    • Quantization of Teichmüller spaces and the quantum dilogarithm
    • [SPIRES]
    • R.M. Kashaev, Quantization of Teichmüller spaces and the quantum dilogarithm, Lett. Math. Phys. 43 (1998) 105 [SPIRES].
    • (1998) Lett. Math. Phys. , vol.43 , pp. 105
    • Kashaev, R.M.1
  • 56
    • 58149487529 scopus 로고    scopus 로고
    • The quantum dilogarithm and representations of quantum cluster varieties
    • V.V. Fock and A.B. Goncharov, The quantum dilogarithm and representations of quantum cluster varieties, Invent. Math. 175 (2009) 223.
    • (2009) Invent. Math. , vol.175 , pp. 223
    • Fock, V.V.1    Goncharov, A.B.2
  • 57
    • 0034561868 scopus 로고    scopus 로고
    • OBservables in 3D gravity and geodesic algebras
    • [SPIRES]
    • L.O. Chekhov and V.V. Fock, OBservables in 3D gravity and geodesic algebras, Czech. J. Phys. 50 (2000) 1201 [SPIRES].
    • (2000) Czech. J. Phys. , vol.50 , pp. 1201
    • Chekhov, L.O.1    Fock, V.V.2
  • 58
    • 29744443673 scopus 로고
    • On the phase transition towards permanent quark confinement
    • [SPIRES]
    • G. 't Hooft, On the phase transition towards permanent quark confinement, Nucl. Phys. B 138 (1978) 1 [SPIRES].
    • (1978) Nucl. Phys. B , vol.138 , pp. 1
    • Hooft, G.1
  • 59
    • 61849171840 scopus 로고    scopus 로고
    • The algebra of Wilson-'t Hooft operators
    • [arXiv:0710.2097] [SPIRES]
    • A. Kapustin and N. Saulina, The algebra of Wilson-'t Hooft operators, Nucl. Phys. B 814 (2009) 327 [arXiv:0710.2097] [SPIRES].
    • (2009) Nucl. Phys. B , vol.814 , pp. 327
    • Kapustin, A.1    Saulina, N.2
  • 61
    • 70449559089 scopus 로고    scopus 로고
    • Orbifold Riemann surfaces and geodesic algebras
    • L.O. Chekhov, Orbifold Riemann surfaces and geodesic algebras, J. Phys. A 42 (2009) 304007.
    • (2009) J. Phys. A , vol.42 , pp. 304007
    • Chekhov, L.O.1
  • 62
    • 36248962182 scopus 로고    scopus 로고
    • More supersymmetric Wilson loops
    • [arXiv:0704.2237] [SPIRES]
    • N. Drukker, S. Giombi, R. Ricci and D. Trancanelli, More supersymmetric Wilson loops, Phys. Rev. D 76 (2007) 107703 [arXiv:0704.2237] [SPIRES].
    • (2007) Phys. Rev. D , vol.76 , pp. 107703
    • Drukker, N.1    Giombi, S.2    Ricci, R.3    Trancanelli, D.4
  • 63
    • 84856389119 scopus 로고    scopus 로고
    • Supersymmetric Wilson loops on S3
    • [arXiv:0711.3226] [SPIRES]
    • N. Drukker, S. Giombi, R. Ricci and D. Trancanelli, Supersymmetric Wilson loops on S3, JHEP 05 (2008) 017 [arXiv:0711.3226] [SPIRES].
    • (2008) JHEP , vol.5 , pp. 017
    • Drukker, N.1    Giombi, S.2    Ricci, R.3    Trancanelli, D.4
  • 64
    • 70449879686 scopus 로고    scopus 로고
    • AN-1 conformal Toda field theory correlation functions from conformal N = 2 SU(N) quiver gauge theories
    • [arXiv:0907.2189] [SPIRES]
    • N. Wyllard, AN-1 conformal Toda field theory correlation functions from conformal N = 2 SU(N) quiver gauge theories, JHEP 11 (2009) 002 [arXiv:0907.2189] [SPIRES].
    • (2009) JHEP , vol.11 , pp. 002
    • Wyllard, N.1
  • 65
    • 33746189727 scopus 로고    scopus 로고
    • Moduli spaces of local systems and higher Teichmüller theory
    • V. Fock and A. Goncharov, Moduli spaces of local systems and higher Teichmüller theory, Inst. Hautes ' Etudes Sci. Publ. Math. 103 (2006) 1.
    • (2006) Inst. Hautes ' Etudes Sci. Publ. Math. , vol.103 , pp. 1
    • Fock, V.1    Goncharov, A.2
  • 66
    • 44049115458 scopus 로고
    • Lie groups and Teichmüller space
    • N.J. Hitchin, Lie groups and Teichmüller space, Topology 31 (1992) 449.
    • (1992) Topology , vol.31 , pp. 449
    • Hitchin, N.J.1
  • 67
    • 43049110656 scopus 로고    scopus 로고
    • Matrix models, geometric engineering and elliptic genera
    • [hep-th/0310272] [SPIRES]
    • T.J. Hollowood, A. Iqbal and C. Vafa, Matrix models, geometric engineering and elliptic genera, JHEP 03 (2008) 069 [hep-th/0310272] [SPIRES].
    • (2008) JHEP , vol.3 , pp. 069
    • Hollowood, T.J.1    Iqbal, A.2    Vafa, C.3
  • 68
    • 70350780322 scopus 로고    scopus 로고
    • The refined topological vertex
    • [hep-th/0701156] [SPIRES]
    • A. Iqbal, C. Kozcaz and C. Vafa, The refined topological vertex, JHEP 10 (2009) 069 [hep-th/0701156] [SPIRES].
    • (2009) JHEP , vol.10 , pp. 069
    • Iqbal, A.1    Kozcaz, C.2    Vafa, C.3
  • 69
    • 0001537096 scopus 로고
    • The theory of the double gamma function
    • E.W. Barnes, The theory of the double gamma function, Proc. Roy. Soc. Lond. 66 (1899) 265.
    • (1899) Proc. Roy. Soc. Lond. , vol.66 , pp. 265
    • Barnes, E.W.1
  • 70
    • 0000404523 scopus 로고
    • On a Kronecker limit formula for real quadratic fields
    • T. Shintani, On a Kronecker limit formula for real quadratic fields, J. Fac. Sci. Tokyo (Sect. 1A Math.) 24 (1977) 167.
    • (1977) J. Fac. Sci. Tokyo (Sect. 1A Math.) , vol.24 , pp. 167
    • Shintani, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.