메뉴 건너뛰기




Volumn 8, Issue 1, 2004, Pages 325-353

A lattice formulation of super Yang-Mills theories with exact supersymmetry

Author keywords

Extended Supersymmetry; Lattice Gauge Field Theories; Lattice Quantum Field Theory; Topological Field Theories

Indexed keywords


EID: 23144462002     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2004/01/015     Document Type: Article
Times cited : (115)

References (57)
  • 1
    • 13644276850 scopus 로고
    • Electric-magnetic duality, monopole condensation and confinement in N = 2 supersymmetric Yang-Mills theory
    • [hep-th/9407087], erratum ibid. B430 (1994) 485
    • N. Seiberg and E. Witten, Electric-magnetic duality, monopole condensation and confinement in N = 2 supersymmetric Yang-Mills theory, Nucl. Phys. B 426 (1994) 19 [hep-th/9407087], erratum ibid. B430 (1994) 485;
    • (1994) Nucl. Phys. B , vol.426 , pp. 19
    • Seiberg, N.1    Witten, E.2
  • 2
    • 0346866199 scopus 로고
    • Monopoles, duality and chiral symmetry breaking in N = 2 supersymmetric QCD
    • [hep-th/9408099]
    • Monopoles, duality and chiral symmetry breaking in N = 2 supersymmetric QCD, Nucl. Phys. B 431 (1994) 484 [hep-th/9408099].
    • (1994) Nucl. Phys. B , vol.431 , pp. 484
  • 3
    • 78650234788 scopus 로고    scopus 로고
    • The large-N limit of superconformal field theories and supergravity
    • [hep-th/9711200]
    • J.M. Maldacena, The large-N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231 [hep-th/9711200];
    • (1998) Adv. Theor. Math. Phys. , vol.2 , pp. 231
    • Maldacena, J.M.1
  • 4
    • 0347164882 scopus 로고    scopus 로고
    • Large-N field theories, string theory and gravity
    • [hep-th/9905111]
    • O. Aharony, S.S. Gubser, J.M. Maldacena, H. Ooguri and Y. Oz, Large-N field theories, string theory and gravity, Phys. Rept. 323 (2000) 183 [hep-th/9905111].
    • (2000) Phys. Rept. , vol.323 , pp. 183
    • Aharony, O.1    Gubser, S.S.2    Maldacena, J.M.3    Ooguri, H.4    Oz, Y.5
  • 5
    • 0001078767 scopus 로고
    • Supersymmetric lattice theories
    • T. Banks and P. Windey, Supersymmetric lattice theories, Nucl. Phys. B 198 (1982) 226;
    • (1982) Nucl. Phys. B , vol.198 , pp. 226
    • Banks, T.1    Windey, P.2
  • 6
    • 0002513612 scopus 로고
    • Supersymmetric lattice gauge theory
    • I. Ichinose, Supersymmetric lattice gauge theory, Phys. Lett. B 122 (1983) 68;
    • (1983) Phys. Lett. B , vol.122 , pp. 68
    • Ichinose, I.1
  • 7
    • 0000196274 scopus 로고
    • Supersymmetry on a lattice
    • J. Bartels and J.B. Bronzan, Supersymmetry on a lattice, Phys. Rev. D 28 (1983) 818;
    • (1983) Phys. Rev. D , vol.28 , pp. 818
    • Bartels, J.1    Bronzan, J.B.2
  • 8
    • 0001239694 scopus 로고
    • A lattice version of the Wess-Zumino model
    • J. Bartels and G. Kramer, A lattice version of the Wess-Zumino model, Z. Physik C 20 (1983) 159;
    • (1983) Z. Physik C , vol.20 , pp. 159
    • Bartels, J.1    Kramer, G.2
  • 9
    • 0000683979 scopus 로고
    • Supercurrent anomaly in lattice gauge theory
    • R. Nakayama and Y. Okada, Supercurrent anomaly in lattice gauge theory, Phys. Lett. B 134 (1984) 241;
    • (1984) Phys. Lett. B , vol.134 , pp. 241
    • Nakayama, R.1    Okada, Y.2
  • 10
    • 0001197719 scopus 로고
    • Continuous 'translation' and supersymmetry on the lattice
    • S. Nojiri, Continuous 'translation' and supersymmetry on the lattice, Prog. Theor. Phys. 74 (1985) 819;
    • (1985) Prog. Theor. Phys. , vol.74 , pp. 819
    • Nojiri, S.1
  • 11
    • 0000933101 scopus 로고
    • Supersymmetry and the lattice: A reconciliation?
    • G. Curci and G. Veneziano, Supersymmetry and the lattice: a reconciliation?, Nucl. Phys. B 292 (1987) 555;
    • (1987) Nucl. Phys. B , vol.292 , pp. 555
    • Curci, G.1    Veneziano, G.2
  • 12
    • 0037068034 scopus 로고    scopus 로고
    • Supersymmetry on the lattice and the Leibniz rule
    • [hep-th/0205095]
    • K. Fujikawa, Supersymmetry on the lattice and the Leibniz rule, Nucl. Phys. B 636 (2002) 80 [hep-th/0205095].
    • (2002) Nucl. Phys. B , vol.636 , pp. 80
    • Fujikawa, K.1
  • 14
    • 1642341849 scopus 로고
    • Dynamical generation of supersymmetry
    • D.B. Kaplan, Dynamical generation of supersymmetry, Phys. Lett. B 136 (1984) 162;
    • (1984) Phys. Lett. B , vol.136 , pp. 162
    • Kaplan, D.B.1
  • 15
    • 0000272230 scopus 로고    scopus 로고
    • Four-dimensional N = 1 supersymmetric Yang-Mills theory on the lattice without fine-tuning
    • [hep-lat/9701013]
    • J. Nishimura, Four-dimensional N = 1 supersymmetric Yang-Mills theory on the lattice without fine-tuning, Phys. Lett. B 406 (1997) 215 [hep-lat/9701013];
    • (1997) Phys. Lett. B , vol.406 , pp. 215
    • Nishimura, J.1
  • 16
    • 0000266372 scopus 로고    scopus 로고
    • Lattice formulation of supersymmetric Yang-Mills theories without fine-tuning
    • [hep-th/9705152]
    • N. Maru and J. Nishimura, Lattice formulation of supersymmetric Yang-Mills theories without fine-tuning, Int. J. Mod. Phys. A 13 (1998) 2841 [hep-th/9705152];
    • (1998) Int. J. Mod. Phys. A , vol.13 , pp. 2841
    • Maru, N.1    Nishimura, J.2
  • 17
    • 0001139578 scopus 로고    scopus 로고
    • Vector like gauge theories with almost massless fermions on the lattice
    • [hep-lat/9710089]
    • H. Neuberger, Vector like gauge theories with almost massless fermions on the lattice, Phys. Rev. D 57 (1998) 5417 [hep-lat/9710089];
    • (1998) Phys. Rev. D , vol.57 , pp. 5417
    • Neuberger, H.1
  • 18
    • 0000816798 scopus 로고    scopus 로고
    • Supersymmetric Yang-Mills theories from domain wall fermions
    • [hep-lat/0002030]
    • D.B. Kaplan and M. Schmaltz, Supersymmetric Yang-Mills theories from domain wall fermions, Chin. J. Phys. 38 (2000) 543-550 [hep-lat/0002030];
    • (2000) Chin. J. Phys. , vol.38 , pp. 543-550
    • Kaplan, D.B.1    Schmaltz, M.2
  • 19
    • 0035424949 scopus 로고    scopus 로고
    • Super Yang-Mills on the lattice with domain wall fermions
    • [hep-lat/0008009]
    • G.T. Fleming, J.B. Kogut and P.M. Vranas, Super Yang-Mills on the lattice with domain wall fermions, Phys. Rev. D 64 (2001) 034510 [hep-lat/0008009];
    • (2001) Phys. Rev. D , vol.64 , pp. 034510
    • Fleming, G.T.1    Kogut, J.B.2    Vranas, P.M.3
  • 20
    • 0037142948 scopus 로고    scopus 로고
    • Supersymmetric Yang-Mills theory on the lattice
    • [hep-lat/0112007]
    • I. Montvay, Supersymmetric Yang-Mills theory on the lattice, Int. J. Mod. Phys. A 17 (2002) 2377 [hep-lat/0112007].
    • (2002) Int. J. Mod. Phys. A , vol.17 , pp. 2377
    • Montvay, I.1
  • 21
    • 0012440784 scopus 로고
    • Stochastic processes in lattice (extended) supersymmetry
    • S. Cecotti and L. Girardello, Stochastic processes in lattice (extended) supersymmetry, Nucl. Phys. B 226 (1983) 417;
    • (1983) Nucl. Phys. B , vol.226 , pp. 417
    • Cecotti, S.1    Girardello, L.2
  • 22
    • 0001699264 scopus 로고
    • Lattice supersymmetry and the Nicolai mapping
    • N. Sakai and M. Sakamoto, Lattice supersymmetry and the Nicolai mapping, Nucl. Phys. B 229 (1983) 173;
    • (1983) Nucl. Phys. B , vol.229 , pp. 173
    • Sakai, N.1    Sakamoto, M.2
  • 23
    • 4244024311 scopus 로고    scopus 로고
    • Exact lattice supersymmetry: The two-dimensional N = 2 Wess-Zumino model
    • [hep-lat/0108024]
    • S. Catterall and S. Karamov, Exact lattice supersymmetry: the two-dimensional N = 2 Wess-Zumino model, Phys. Rev. D 65 (2002) 094501 [hep-lat/0108024];
    • (2002) Phys. Rev. D , vol.65 , pp. 094501
    • Catterall, S.1    Karamov, S.2
  • 24
    • 0036870298 scopus 로고    scopus 로고
    • Nicolai mapping vs. exact chiral symmetry on the lattice
    • [hep-lat/0207013]
    • Y. Kikukawa and Y. Nakayama, Nicolai mapping vs. exact chiral symmetry on the lattice, Phys. Rev. D 66 (2002) 094508 [hep-lat/0207013];
    • (2002) Phys. Rev. D , vol.66 , pp. 094508
    • Kikukawa, Y.1    Nakayama, Y.2
  • 25
    • 7244226586 scopus 로고    scopus 로고
    • N = 2 Wess-Zumino model on the D = 2 euclidean lattice
    • [hep-lat/0208015]
    • K. Fujikawa, N = 2 Wess-Zumino model on the D = 2 euclidean lattice, Phys. Rev. D 66 (2002) 074510 [hep-lat/0208015].
    • (2002) Phys. Rev. D , vol.66 , pp. 074510
    • Fujikawa, K.1
  • 26
    • 23044437695 scopus 로고    scopus 로고
    • Supersymmetry on a spatial lattice
    • [hep-lat/0206019]
    • D.B. Kaplan, E. Katz and M. Ünsal, Supersymmetry on a spatial lattice, J. High Energy Phys. 05 (2003) 037 [hep-lat/0206019].
    • (2003) J. High Energy Phys. , vol.5 , pp. 037
    • Kaplan, D.B.1    Katz, E.2    Ünsal, M.3
  • 27
    • 1642401610 scopus 로고    scopus 로고
    • Supersymmetry on a euclidean spacetime lattice. I: A target theory with four supercharges
    • [hep-lat/0302017]
    • A.G. Cohen, D.B. Kaplan, E. Katz and M. Ünsal, Supersymmetry on a euclidean spacetime lattice. I: A target theory with four supercharges, J. High Energy Phys. 08 (2003) 024 [hep-lat/0302017];
    • (2003) J. High Energy Phys. , vol.8 , pp. 024
    • Cohen, A.G.1    Kaplan, D.B.2    Katz, E.3    Ünsal, M.4
  • 28
    • 22144495191 scopus 로고    scopus 로고
    • Supersymmetry on a euclidean spacetime lattice. II: Target theories with eight supercharges
    • [hep-lat/0307012]
    • Supersymmetry on a euclidean spacetime lattice. II: Target theories with eight supercharges, J. High Energy Phys. 12 (2003) 031 [hep-lat/0307012].
    • (2003) J. High Energy Phys. , vol.12 , pp. 031
  • 29
    • 23044496775 scopus 로고    scopus 로고
    • Supersymetry on the noncommutative lattice
    • [hep-lat/0301025]
    • J. Nishimura, S.-J. Rey and F. Sugino, Supersymetry on the noncommutative lattice, J. High Energy Phys. 02 (2003) 032 [hep-lat/0301025];
    • (2003) J. High Energy Phys. , vol.2 , pp. 032
    • Nishimura, J.1    Rey, S.-J.2    Sugino, F.3
  • 30
    • 23044476186 scopus 로고    scopus 로고
    • Deconstruction, lattice supersymmetry, anomalies and branes
    • [hep-th/0301048]
    • J. Giedt, E. Poppitz and M. Rozali, Deconstruction, lattice supersymmetry, anomalies and branes, J. High Energy Phys. 03 (2003) 035 [hep-th/0301048];
    • (2003) J. High Energy Phys. , vol.3 , pp. 035
    • Giedt, J.1    Poppitz, E.2    Rozali, M.3
  • 31
    • 0041426522 scopus 로고    scopus 로고
    • Non-positive fermion determinants in lattice supersymmetry
    • [hep-lat/0304006]
    • J. Giedt, Non-positive fermion determinants in lattice supersymmetry, Nucl. Phys. B 668 (2003) 138 [hep-lat/0304006];
    • (2003) Nucl. Phys. B , vol.668 , pp. 138
    • Giedt, J.1
  • 32
    • 0242550991 scopus 로고    scopus 로고
    • The fermion determinant in (4,4) 2d lattice super-Yang-Mills
    • [hep-lat/0307024]
    • The fermion determinant in (4,4) 2d lattice super-Yang-Mills, Nucl. Phys. B 674 (2003) 259 [hep-lat/0307024].
    • (2003) Nucl. Phys. B , vol.674 , pp. 259
  • 33
    • 0002714654 scopus 로고    scopus 로고
    • Exact supersymmetry on the lattice
    • [hep-lat/9807010]
    • W. Bietenholz, Exact supersymmetry on the lattice, Mod. Phys. Lett. A 14 (1999) 51 [hep-lat/9807010];
    • (1999) Mod. Phys. Lett. A , vol.14 , pp. 51
    • Bietenholz, W.1
  • 34
    • 23044454641 scopus 로고    scopus 로고
    • Novel approach to super Yang-Mills theory on lattice: Exact fermionic symmetry and 'Ichimatsu ' pattern
    • [hep-lat/0210049]
    • K. Itoh, M. Kato, H. Sawanaka, H. So and N. Ukita, Novel approach to super Yang-Mills theory on lattice: exact fermionic symmetry and 'Ichimatsu ' pattern, J. High Energy Phys. 02 (2003) 033 [hep-lat/0210049];
    • (2003) J. High Energy Phys. , vol.2 , pp. 033
    • Itoh, K.1    Kato, M.2    Sawanaka, H.3    So, H.4    Ukita, N.5
  • 35
    • 0042887689 scopus 로고    scopus 로고
    • A lattice study of the two-dimensional Wess Zumino model
    • [hep-lat/0305002]
    • S. Catterall and S. Karamov, A lattice study of the two-dimensional Wess Zumino model, Phys. Rev. D 68 (2003) 014503 [hep-lat/0305002].
    • (2003) Phys. Rev. D , vol.68 , pp. 014503
    • Catterall, S.1    Karamov, S.2
  • 36
    • 23044462183 scopus 로고    scopus 로고
    • Lattice supersymmetry and topological field theory
    • [hep-lat/0301028]
    • S. Catterall, Lattice supersymmetry and topological field theory, J. High Energy Phys. 05 (2003) 038 [hep-lat/0301028].
    • (2003) J. High Energy Phys. , vol.5 , pp. 038
    • Catterall, S.1
  • 37
    • 0038722672 scopus 로고
    • Topological quantum field theory
    • E. Witten, Topological quantum field theory, Commun. Math. Phys. 117 (1988) 353;
    • (1988) Commun. Math. Phys. , vol.117 , pp. 353
    • Witten, E.1
  • 38
    • 0001242299 scopus 로고
    • Introduction to cohomological field theories
    • Introduction to cohomological field theories, Int. J. Mod. Phys. A 6 (1991) 2775.
    • (1991) Int. J. Mod. Phys. A , vol.6 , pp. 2775
  • 39
    • 0001859543 scopus 로고
    • A strong coupling test of S duality
    • [hep-th/9408074]
    • G. Vafa and E. Witten, A strong coupling test of S duality, Nucl. Phys. B 431 (1994) 3 [hep-th/9408074].
    • (1994) Nucl. Phys. B , vol.431 , pp. 3
    • Vafa, G.1    Witten, E.2
  • 40
    • 0031138935 scopus 로고    scopus 로고
    • Balanced topological field theories
    • [hep-th/9608169]
    • R. Dijkgraaf and G.W. Moore, Balanced topological field theories, Commun. Math. Phys. 185 (1997) 411 [hep-th/9608169].
    • (1997) Commun. Math. Phys. , vol.185 , pp. 411
    • Dijkgraaf, R.1    Moore, G.W.2
  • 41
    • 0031578202 scopus 로고    scopus 로고
    • Aspects of N(T) ≥ 2 topological gauge theories and D-branes
    • [hep-th/9612143]
    • M. Blau and G. Thompson, Aspects of N(T) ≥ 2 topological gauge theories and D-branes, Nucl. Phys. B 492 (1997) 545 [hep-th/9612143];
    • (1997) Nucl. Phys. B , vol.492 , pp. 545
    • Blau, M.1    Thompson, G.2
  • 42
    • 0031556451 scopus 로고    scopus 로고
    • Mathai-Quillen formulation of twisted N = 4 supersymmetric gauge theories in four dimensions
    • [hep-th/9702106]
    • J.M.F. Labastida and G. Lozano, Mathai-Quillen formulation of twisted N = 4 supersymmetric gauge theories in four dimensions, Nucl. Phys. B 502 (1997) 741 [hep-th/9702106].
    • (1997) Nucl. Phys. B , vol.502 , pp. 741
    • Labastida, J.M.F.1    Lozano, G.2
  • 43
    • 0002636994 scopus 로고    scopus 로고
    • On euclidean spinors and Wick rotations
    • [hep-th/9608174]
    • P. van Nieuwenhuizen and A. Waldron, On euclidean spinors and Wick rotations, Phys. Lett. B 389 (1996) 29 [hep-th/9608174];
    • (1996) Phys. Lett. B , vol.389 , pp. 29
    • Van Nieuwenhuizen, P.1    Waldron, A.2
  • 44
    • 0042543867 scopus 로고    scopus 로고
    • Euclidean SYM theories by time reduction and special holonomy manifolds
    • [hep-th/9706225]
    • M. Blau and G. Thompson, Euclidean SYM theories by time reduction and special holonomy manifolds, Phys. Lett. B 415 (1997) 242 [hep-th/9706225].
    • (1997) Phys. Lett. B , vol.415 , pp. 242
    • Blau, M.1    Thompson, G.2
  • 45
    • 0003106651 scopus 로고
    • Gauge fixing and renormalization in topological quantum field theory
    • R. Brooks, D. Montano and J. Sonnenschein, Gauge fixing and renormalization in topological quantum field theory, Phys. Lett. B 214 (1988) 91.
    • (1988) Phys. Lett. B , vol.214 , pp. 91
    • Brooks, R.1    Montano, D.2    Sonnenschein, J.3
  • 46
    • 0032474120 scopus 로고    scopus 로고
    • Special quantum field theories in eight and other dimensions
    • [hep-th/9704167]
    • L. Baulieu, H. Kanno and I.M. Singer, Special quantum field theories in eight and other dimensions, Commun. Math. Phys. 194 (1998) 149 [hep-th/9704167].
    • (1998) Commun. Math. Phys. , vol.194 , pp. 149
    • Baulieu, L.1    Kanno, H.2    Singer, I.M.3
  • 47
    • 49049152721 scopus 로고
    • Absence of neutrinos on a lattice. 1. Proof by homotopy theory
    • H.B. Nielsen and M. Ninomiya, Absence of neutrinos on a lattice. 1. Proof by homotopy theory, Nucl. Phys. B 185 (1981) 20
    • (1981) Nucl. Phys. B , vol.185 , pp. 20
    • Nielsen, H.B.1    Ninomiya, M.2
  • 48
    • 0001410377 scopus 로고
    • Absence of neutrinos on a lattice. 1. Proof by homotopy theory
    • H.B. Nielsen and M. Ninomiya, Absence of neutrinos on a lattice. 1. Proof by homotopy theory, Nucl. Phys. B ibid. B195 (1982) 541;
    • (1982) Nucl. Phys. B , vol.B195 , pp. 541
    • Nielsen, H.B.1    Ninomiya, M.2
  • 49
    • 4244204423 scopus 로고
    • Absence of neutrinos on a lattice. 2. Intuitive topological proof
    • Absence of neutrinos on a lattice. 2. Intuitive topological proof, Nucl. Phys. B 193 (1981) 173.
    • (1981) Nucl. Phys. B , vol.193 , pp. 173
  • 50
    • 33744770599 scopus 로고
    • A remnant of chiral symmetry on the lattice
    • P.H. Ginsparg and K.G. Wilson, A remnant of chiral symmetry on the lattice, Phys. Rev. D 25 (1982) 2649;
    • (1982) Phys. Rev. D , vol.25 , pp. 2649
    • Ginsparg, P.H.1    Wilson, K.G.2
  • 51
    • 0032043980 scopus 로고    scopus 로고
    • Prospects for perfect actions
    • [hep-lat/9709110]
    • P. Hasenfratz, Prospects for perfect actions, Nucl. Phys. 63 (Proc. Suppl.) (1998) 53 [hep-lat/9709110];
    • (1998) Nucl. Phys. , vol.63 , Issue.PROC. SUPPL. , pp. 53
    • Hasenfratz, P.1
  • 52
    • 0347333652 scopus 로고    scopus 로고
    • Exactly massless quarks on the lattice
    • [hep-lat/9707022]
    • H. Neuberger, Exactly massless quarks on the lattice, Phys. Lett. B 417 (1998) 141 [hep-lat/9707022];
    • (1998) Phys. Lett. B , vol.417 , pp. 141
    • Neuberger, H.1
  • 53
    • 0346992722 scopus 로고    scopus 로고
    • More about exactly massless quarks on the lattice
    • [hep-lat/9801031]
    • More about exactly massless quarks on the lattice, Phys. Lett. B 427 (1998) 353 [hep-lat/9801031];
    • (1998) Phys. Lett. B , vol.427 , pp. 353
  • 54
    • 0033549461 scopus 로고    scopus 로고
    • Locality properties of Neuberger's lattice Dirac operator
    • [hep-lat/9808010]
    • P. Hernandez, K. Jansen and M. Lüscher, Locality properties of Neuberger's lattice Dirac operator, Nucl. Phys. B 552 (1999) 363 [hep-lat/9808010].
    • (1999) Nucl. Phys. B , vol.552 , pp. 363
    • Hernandez, P.1    Jansen, K.2    Lüscher, M.3
  • 55
    • 0001159151 scopus 로고
    • Topological matter in four-dimensions
    • [hep-th/9404115]
    • M. Alvarez and J.M.F. Labastida, Topological matter in four-dimensions, Nucl. Phys. B 437 (1995) 356 [hep-th/9404115];
    • (1995) Nucl. Phys. B , vol.437 , pp. 356
    • Alvarez, M.1    Labastida, J.M.F.2
  • 56
    • 13644276323 scopus 로고
    • Spin-c topological QCD
    • [hep-th/9503201]
    • S. Hyun, J. Park and J.-S. Park, Spin-c topological QCD, Nucl. Phys. B 453 (1995) 199 [hep-th/9503201];
    • (1995) Nucl. Phys. B , vol.453 , pp. 199
    • Hyun, S.1    Park, J.2    Park, J.-S.3
  • 57
    • 0035584306 scopus 로고    scopus 로고
    • Euler number of instanton moduli space and Seiberg- Witten invariants
    • [hep-th/0005262]
    • A. Sako and T. Sasaki, Euler number of instanton moduli space and Seiberg- Witten invariants, J. Math. Phys. 42 (2001) 130 [hep-th/0005262].
    • (2001) J. Math. Phys. , vol.42 , pp. 130
    • Sako, A.1    Sasaki, T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.