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Volumn 2007, Issue 3, 2007, Pages

The WZNW model on PSU(1,1|2)

Author keywords

Conformal and W symmetry; Conformal field models in string theory; Space time symmetries; Superspaces

Indexed keywords


EID: 33947613681     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2007/03/003     Document Type: Article
Times cited : (100)

References (69)
  • 1
    • 0347164882 scopus 로고    scopus 로고
    • Large-N field theories, string theory and gravity
    • O. Aharony, S.S. Gubser, J.M. Maldacena, H. Ooguri and Y. Oz, Large-N field theories, string theory and gravity 2000 Phys. Rep. 323 183 [hep-th/9905111]
    • (2000) Phys. Rep. , vol.323 , Issue.3-4 , pp. 183
    • Aharony, O.1    Gubser, S.S.2    Maldacena, J.M.3    Ooguri, H.4    Oz, Y.5
  • 2
    • 0032538740 scopus 로고    scopus 로고
    • Type IIB superstring action in AdS5 × S5 background
    • 5 background 1998 Nucl. Phys. B 533 109 [hep-th/9805028]
    • (1998) Nucl. Phys. , vol.533 , Issue.1-3 , pp. 109
    • Metsaev, R.R.1    Tseytlin, A.A.2
  • 3
    • 18044391269 scopus 로고    scopus 로고
    • The GS string action on AdS3 × S3 with Ramond-Ramond charge
    • 3 with Ramond-Ramond charge 1999 Phys. Rev. D 60 064014 [hep-th/9809164]
    • (1999) Phys. Rev. , vol.60 , Issue.6 , pp. 064014
    • Rahmfeld, J.1    Rajaraman, A.2
  • 4
    • 33646050035 scopus 로고    scopus 로고
    • Conformal field theory of AdS background with Ramond-Ramond flux
    • N. Berkovits, C. Vafa and E. Witten, Conformal field theory of AdS background with Ramond-Ramond flux 1999 J. High Energy Phys. JHEP03(1999)018 [hep-th/9902098]
    • (1999) J. High Energy Phys. , vol.1999 , Issue.3 , pp. 018
    • Berkovits, N.1    Vafa, C.2    Witten, E.3
  • 6
    • 6944240450 scopus 로고    scopus 로고
    • Super-Poincaré covariant quantization of the superstring
    • N. Berkovits, Super-Poincaré covariant quantization of the superstring 2000 J. High Energy Phys. JHEP04(2000)018 [hep-th/0001035]
    • (2000) J. High Energy Phys. , vol.2000 , Issue.4 , pp. 018
    • Berkovits, N.1
  • 7
    • 7044248012 scopus 로고    scopus 로고
    • Superstrings on AdS5 × S5 supertwistor space
    • 5 supertwistor space 2000 J. High Energy Phys. JHEP11(2000)024 [hep-th/0010104]
    • (2000) J. High Energy Phys. , vol.2000 , Issue.11 , pp. 024
    • Roiban, R.1    Siegel, W.2
  • 9
    • 0346819910 scopus 로고    scopus 로고
    • Towards a field theory of the plateau transitions in the integer quantum Hall effect
    • M.J. Bhaseen, I.I. Kogan, O.A. Solovev, N. Tanigichi and A.M. Tsvelik, Towards a field theory of the plateau transitions in the integer quantum Hall effect 2000 Nucl. Phys. B 580 688 [cond-mat/9912060]
    • (2000) Nucl. Phys. , vol.580 , Issue.3 , pp. 688
    • Bhaseen, M.J.1    Kogan, I.I.2    Solovev, O.A.3    Tanigichi, N.4    Tsvelik, A.M.5
  • 10
    • 0000324343 scopus 로고    scopus 로고
    • Gl(N|N) super-current algebras for disordered Dirac fermions in two dimensions
    • S. Guruswamy, A. LeClair and A.W.W. Ludwig, gl(N|N) super-current algebras for disordered Dirac fermions in two dimensions 2000 Nucl. Phys. B 583 475 [cond-mat/9909143]
    • (2000) Nucl. Phys. , vol.583 , Issue.3 , pp. 475
    • Guruswamy, S.1    Leclair, A.2    Ludwig, A.W.W.3
  • 11
    • 0020498290 scopus 로고
    • Supersymmetry and theory of disordered metals
    • K.B. Efetov, Supersymmetry and theory of disordered metals 1983 Adv. Phys. 32 53
    • (1983) Adv. Phys. , vol.32 , Issue.1 , pp. 53
    • Efetov, K.B.1
  • 13
    • 0035534434 scopus 로고    scopus 로고
    • Strings in AdS3 and SL(2,) WZW model. i
    • 3 and SL(2,) WZW model. I, 2001 J. Math. Phys. 42 2929 [hep-th/0001053]
    • (2001) J. Math. Phys. , vol.42 , Issue.7 , pp. 2929
    • Maldacena, J.M.1    Ooguri, H.2
  • 14
    • 0037053236 scopus 로고    scopus 로고
    • Strings in AdS3 and the SL(2,) WZW model. III: Correlation functions
    • 3 and the SL(2,) WZW model. III: correlation functions, 2002 Phys. Rev. D 65 106006 [hep-th/0111180]
    • (2002) Phys. Rev. , vol.65 , Issue.10 , pp. 106006
    • Maldacena, J.M.1    Ooguri, H.2
  • 16
    • 0033606036 scopus 로고    scopus 로고
    • On structure constants and fusion rules in the SL(2,)/SU(2) WZNW model
    • J. Teschner, On structure constants and fusion rules in the SL(2,)/SU(2) WZNW model, 1999 Nucl. Phys. B 546 390 [hep-th/9712256]
    • (1999) Nucl. Phys. , vol.546 , Issue.1-2 , pp. 390
    • Teschner, J.1
  • 17
    • 0034629599 scopus 로고    scopus 로고
    • Operator product expansion and factorization in the H3+ WZNW model
    • + WZNW model 2000 Nucl. Phys. B 571 555 [hep-th/9906215]
    • (2000) Nucl. Phys. , vol.571 , Issue.3 , pp. 555
    • Teschner, J.1
  • 18
    • 0033581535 scopus 로고    scopus 로고
    • PSL(n|n) sigma model as a conformal field theory
    • M. Bershadsky, S. Zhukov and A. Vaintrob, PSL(n|n) sigma model as a conformal field theory 1999 Nucl. Phys. B 559 205 [hep-th/9902180]
    • (1999) Nucl. Phys. , vol.559 , Issue.1-2 , pp. 205
    • Bershadsky, M.1    Zhukov, S.2    Vaintrob, A.3
  • 19
    • 0010795998 scopus 로고
    • W symmetry in conformal field theory
    • P. Bouwknegt and K. Schoutens, W symmetry in conformal field theory 1993 Phys. Rep. 223 183 [hep-th/9210010]
    • (1993) Phys. Rep. , vol.223 , Issue.4 , pp. 183
    • Bouwknegt, P.1    Schoutens, K.2
  • 20
    • 29744443995 scopus 로고    scopus 로고
    • The GL(1|1) WZW model: From supergeometry to logarithmic CFT
    • V. Schomerus and H. Saleur, The GL(1|1) WZW model: from supergeometry to logarithmic CFT 2006 Nucl. Phys. B 734 221 [hep-th/0510032]
    • (2006) Nucl. Phys. , vol.734 , Issue.3 , pp. 221
    • Schomerus, V.1    Saleur, H.2
  • 21
    • 13544260257 scopus 로고
    • Quantum field theory for the multivariable Alexander-Conway polynomial
    • L. Rozansky and H. Saleur, Quantum field theory for the multivariable Alexander-Conway polynomial 1992 Nucl. Phys. B 376 461
    • (1992) Nucl. Phys. , vol.376 , Issue.3 , pp. 461
    • Rozansky, L.1    Saleur, H.2
  • 22
    • 0000070791 scopus 로고
    • Logarithmic operators in conformal field theory
    • V. Gurarie, Logarithmic operators in conformal field theory 1993 Nucl. Phys. B 410 535 [hep-th/9303160]
    • (1993) Nucl. Phys. , vol.410 , Issue.3 , pp. 535
    • Gurarie, V.1
  • 23
    • 0033579774 scopus 로고    scopus 로고
    • A local logarithmic conformal field theory
    • M.R. Gaberdiel and H.G. Kausch, A local logarithmic conformal field theory 1999 Nucl. Phys. B 538 631 [hep-th/9807091]
    • (1999) Nucl. Phys. , vol.538 , Issue.3 , pp. 631
    • Gaberdiel, M.R.1    Kausch, H.G.2
  • 24
    • 0242332349 scopus 로고    scopus 로고
    • Bits and pieces in logarithmic conformal field theory
    • M. Flohr, Bits and pieces in logarithmic conformal field theory 2003 Int. J. Mod. Phys. A 18 4497 [hep-th/0111228]
    • (2003) Int. J. Mod. Phys. , vol.18 , Issue.25 , pp. 4497
    • Flohr, M.1
  • 25
    • 0242300775 scopus 로고    scopus 로고
    • An algebraic approach to logarithmic conformal field theory
    • M.R. Gaberdiel, An algebraic approach to logarithmic conformal field theory 2003 Int. J. Mod. Phys. A 18 4593 [hep-th/0111260]
    • (2003) Int. J. Mod. Phys. , vol.18 , Issue.25 , pp. 4593
    • Gaberdiel, M.R.1
  • 26
    • 0030571988 scopus 로고    scopus 로고
    • Logarithmic operators and hidden continuous symmetry in critical disordered models
    • J.S. Caux, I.I. Kogan and A.M. Tsvelik, Logarithmic operators and hidden continuous symmetry in critical disordered models 1996 Nucl. Phys. B 466 444 [hep-th/9511134]
    • (1996) Nucl. Phys. , vol.466 , Issue.3 , pp. 444
    • Caux, J.S.1    Kogan, I.I.2    Tsvelik, A.M.3
  • 27
    • 0031557537 scopus 로고    scopus 로고
    • Non-unitary conformal field theory and logarithmic operators for disordered systems
    • Z. Maassarani and D. Serban, Non-unitary conformal field theory and logarithmic operators for disordered systems 1997 Nucl. Phys. B 489 603 [hep-th/9605062]
    • (1997) Nucl. Phys. , vol.489 , Issue.3 , pp. 603
    • Maassarani, Z.1    Serban, D.2
  • 28
    • 0031592520 scopus 로고    scopus 로고
    • Logarithmic operators and dynamical extension of the symmetry group in the bosonic SU(2)0 and SUSY SU(2)2 WZNW models
    • 2 WZNW models, 1997 Nucl. Phys. B 489 469 [hep-th/9606138]
    • (1997) Nucl. Phys. , vol.489 , Issue.1-2 , pp. 469
    • Caux, J.S.1    Kogan, I.2    Lewis, A.3    Tsvelik, A.M.4
  • 29
    • 0030094242 scopus 로고    scopus 로고
    • Categories of finite dimensional weight modules over type i classical Lie superalgebras
    • Y.M. Zou, Categories of finite dimensional weight modules over type I classical Lie superalgebras, 1996 J. Algebra 180 459
    • (1996) J. Algebra , vol.180 , Issue.2 , pp. 459
    • Zou, Y.M.1
  • 30
    • 0000210153 scopus 로고    scopus 로고
    • Indecomposable representations of special linear Lie superalgebras
    • J. Germoni, Indecomposable representations of special linear Lie superalgebras, 1998 J. Algebra 209 367
    • (1998) J. Algebra , vol.209 , Issue.2 , pp. 367
    • Germoni, J.1
  • 31
    • 17044388997 scopus 로고    scopus 로고
    • A unified and complete construction of all finite dimensional irreducible representations of {gl(2|2)}
    • Y.-Z. Zhang and M.D. Gould, A unified and complete construction of all finite dimensional irreducible representations of gl(2|2), 2005 J. Math. Phys. 46 013505 [math.QA/0405043].
    • (2005) J. Math. Phys. , vol.46 , Issue.1 , pp. 013505
    • Zhang, Y.-Z.1    Gould, M.D.2
  • 33
    • 49449126179 scopus 로고
    • Lie superalgebras
    • V.G. Kac, Lie superalgebras 1977 Adv. Math. 26 8.
    • (1977) Adv. Math. , vol.26 , Issue.1 , pp. 8
    • Kac, V.G.1
  • 34
  • 35
    • 4243266551 scopus 로고
    • S and T matrices for the U(1,1) WZW model: Application to surgery and three manifolds invariants based on the Alexander-Conway polynomial
    • L. Rozansky and H. Saleur, S and T matrices for the U(1,1) WZW model: application to surgery and three manifolds invariants based on the Alexander-Conway polynomial, 1993 Nucl. Phys. B 389 365 [hep-th/9203069]
    • (1993) Nucl. Phys. , vol.389 , Issue.2 , pp. 365
    • Rozansky, L.1    Saleur, H.2
  • 36
    • 0001907699 scopus 로고
    • Free fields and new cosets of current algebras
    • I. Bars, Free fields and new cosets of current algebras 1991 Phys. Lett. B 255 353
    • (1991) Phys. Lett. , vol.255 , Issue.3 , pp. 353
    • Bars, I.1
  • 37
    • 0035530552 scopus 로고    scopus 로고
    • Integrable heighest weights modules over affine superalgebras and Appell's function
    • V.G. Kac and M. Wakimoto, Integrable heighest weights modules over affine superalgebras and Appell's function, 2001 Comm. Math. Phys. 215 631 [math.PH/0006007]
    • (2001) Comm. Math. Phys. , vol.215 , Issue.3 , pp. 631
    • Kac, V.G.1    Wakimoto, M.2
  • 38
    • 15244353367 scopus 로고    scopus 로고
    • Higher level Appell functions, modular transformations, and characters
    • A.M. Semikhatov, A. Taormina and I.Y. Tipunin, Higher level Appell functions, modular transformations, and characters, 2005 Comm. Math. Phys. 255 469 [math.QA/0311314].
    • (2005) Comm. Math. Phys. , vol.255 , Issue.2 , pp. 469
    • Semikhatov, A.M.1    Taormina, A.2    Tipunin, I.Y.3
  • 39
    • 33645919649 scopus 로고    scopus 로고
    • Vertex operators for AdS3 background with Ramond-Ramond flux
    • 3 background with Ramond-Ramond flux 1999 J. High Energy Phys. JHEP11(1999)003 [hep-th/9910205]
    • (1999) J. High Energy Phys. , vol.1999 , Issue.11 , pp. 003
    • Dolan, L.1    Witten, E.2
  • 40
    • 34247181532 scopus 로고
    • String theory on group manifolds
    • D. Gepner and E. Witten, String theory on group manifolds 1986 Nucl. Phys. B 278 493.
    • (1986) Nucl. Phys. , vol.278 , Issue.3 , pp. 493
    • Gepner, D.1    Witten, E.2
  • 41
    • 0043290417 scopus 로고
    • Solving the SU(2) conformal field theory with the Wakimoto free field representation
    • V.S. Dotsenko, Solving the SU(2) conformal field theory with the Wakimoto free field representation, 1991 Nucl. Phys. B 358 547.
    • (1991) Nucl. Phys. , vol.358 , Issue.3 , pp. 547
    • Dotsenko, V.S.1
  • 42
    • 0002893282 scopus 로고
    • On the Liouville three point function
    • J. Teschner, On the Liouville three point function, 1995 Phys. Lett. B 363 65 [hep-th/9507109].
    • (1995) Phys. Lett. , vol.363 , Issue.1-2 , pp. 65
    • Teschner, J.1
  • 44
    • 0035926803 scopus 로고    scopus 로고
    • On the beta function for anisotropic current interactions in {2D}
    • B. Gerganov, A. LeClair and M. Moriconi, On the beta function for anisotropic current interactions in 2D, 2001 Phys. Rev. Lett. 86 4753 [hep-th/0011189].
    • (2001) Phys. Rev. Lett. , vol.86 , Issue.21 , pp. 4753
    • Gerganov, B.1    Leclair, A.2    Moriconi, M.3
  • 45
    • 0038522540 scopus 로고    scopus 로고
    • The 4-loop beta-function in the 2D non-Abelian Thirring model, and comparison with its conjectured 'exact' form
    • A.W.W. Ludwig and K.J. Wiese, The 4-loop beta-function in the 2D non-Abelian Thirring model, and comparison with its conjectured 'exact' form, 2003 Nucl. Phys. B 661 577 [cond-mat/0211531].
    • (2003) Nucl. Phys. , vol.661 , pp. 577
    • Ludwig, A.W.W.1    Wiese, K.J.2
  • 47
    • 0001157392 scopus 로고
    • Extensions of the Virasoro algebra constructed from {Kac-Moody} algebras using higher order Casimir invariants
    • F.A. Bais, P. Bouwknegt, M. Surridge and K. Schoutens, Extensions of the Virasoro algebra constructed from Kac-Moody algebras using higher order Casimir invariants, 1988 Nucl. Phys. B 304 348.
    • (1988) Nucl. Phys. , vol.304 , pp. 348
    • Bais, F.A.1    Bouwknegt, P.2    Surridge, M.3    Schoutens, K.4
  • 49
    • 0001986175 scopus 로고
    • Quantization of the Drinfeld-Sokolov reduction
    • B. Feigin and E. Frenkel, Quantization of the Drinfeld-Sokolov reduction, 1990 Phys. Lett. B 246 75.
    • (1990) Phys. Lett. , vol.246 , Issue.1-2 , pp. 75
    • Feigin, B.1    Frenkel, E.2
  • 50
    • 0000194140 scopus 로고
    • Characters and fusion rules for W algebras via quantized Drinfeld-Sokolov reductions
    • E. Frenkel, V. Kac and M. Wakimoto, Characters and fusion rules for W algebras via quantized Drinfeld-Sokolov reductions, 1992 Commun. Math. Phys. 147 295.
    • (1992) Commun. Math. Phys. , vol.147 , Issue.2 , pp. 295
    • Frenkel, E.1    Kac, V.2    Wakimoto, M.3
  • 51
    • 0002616083 scopus 로고
    • An introduction to Yangian symmetries
    • D. Bernard, An introduction to Yangian symmetries, 1993 Int. J. Mod. Phys. B 7 3517 [hep-th/9211133].
    • (1993) Int. J. Mod. Phys. , vol.7 , pp. 3517
    • Bernard, D.1
  • 52
    • 29244459158 scopus 로고    scopus 로고
    • Introduction to Yangian symmetry in integrable field theory
    • N.J. MacKay, Introduction to Yangian symmetry in integrable field theory 2005 Int. J. Mod. Phys. A 20 7189 [hep-th/0409183]
    • (2005) Int. J. Mod. Phys. , vol.20 , Issue.30 , pp. 7189
    • MacKay, N.J.1
  • 54
    • 23044442054 scopus 로고    scopus 로고
    • A relation between approaches to integrability in superconformal Yang-Mills theory
    • L. Dolan, C.R. Nappi and E. Witten, A relation between approaches to integrability in superconformal Yang-Mills theory 2003 J. High Energy Phys. JHEP10(2003)017 [hep-th/0308089]
    • (2003) J. High Energy Phys. , vol.2003 , Issue.10 , pp. 017
    • Dolan, L.1    Nappi, C.R.2    Witten, E.3
  • 55
    • 23044464853 scopus 로고    scopus 로고
    • Flat currents in the classical AdS5 × S5 pure spinor superstring
    • 5 pure spinor superstring 2004 J. High Energy Phys. JHEP03(2004)037 [hep-th/0307018]
    • (2004) J. High Energy Phys. , vol.2004 , Issue.3 , pp. 037
    • Vallilo, B.C.1
  • 57
    • 33645523399 scopus 로고    scopus 로고
    • The algebra of flat currents for the string on AdS5 × S5 in the light-cone gauge
    • 5 in the light-cone gauge 2005 J. High Energy Phys. JHEP11(2005)015 [hep-th/0508183]
    • (2005) J. High Energy Phys. , vol.2005 , Issue.11 , pp. 015
    • Das, A.1    Melikyan, A.2    Sato, M.3
  • 58
    • 33646510550 scopus 로고    scopus 로고
    • Conformal sigma-models on supercoset targets
    • D. Kagan and C.A.S. Young, Conformal sigma-models on supercoset targets 2006 Nucl. Phys. B 745 109 [hep-th/0512250]
    • (2006) Nucl. Phys. , vol.745 , Issue.3 , pp. 109
    • Kagan, D.1    Young, C.A.S.2
  • 59
    • 33748294242 scopus 로고    scopus 로고
    • Conserved charges in the principal chiral model on a supergroup
    • B.H. Miller, Conserved charges in the principal chiral model on a supergroup 2006 J. High Energy Phys. JHEP08(2006)010 [hep-th/0602006]
    • (2006) J. High Energy Phys. , vol.2006 , Issue.8 , pp. 010
    • Miller, B.H.1
  • 60
    • 33748312004 scopus 로고    scopus 로고
    • Current algebra of the pure spinor superstring in AdS5 × S5
    • 5 2006 J. High Energy Phys. JHEP08(2006)030 [hep-th/0606188]
    • (2006) J. High Energy Phys. , vol.2006 , Issue.8 , pp. 030
    • Bianchi, M.1    Kluson, J.2
  • 61
    • 27344436293 scopus 로고    scopus 로고
    • One loop conformal invariance of the superstring in an AdS5 × S5 background
    • 5 background 2002 J. High Energy Phys. JHEP12(2002)042 [hep-th/0210064]
    • (2002) J. High Energy Phys. , vol.2002 , Issue.12 , pp. 042
    • Vallilo, B.C.1
  • 62
    • 21444436387 scopus 로고    scopus 로고
    • Quantum consistency of the superstring in AdS5 × S5 background
    • 5 background 2005 J. High Energy Phys. JHEP03(2005)041 [hep-th/0411170]
    • (2005) J. High Energy Phys. , vol.2005 , Issue.3 , pp. 041
    • Berkovits, N.1
  • 63
    • 0242324476 scopus 로고    scopus 로고
    • Covariant quantization of superstrings without pure spinor constraints
    • P.A. Grassi, G. Policastro, M. Porrati and P. Van Nieuwenhuizen, Covariant quantization of superstrings without pure spinor constraints 2002 J. High Energy Phys. JHEP10(2002)054 [hep-th/0112162]
    • (2002) J. High Energy Phys. , vol.2002 , Issue.10 , pp. 054
    • Grassi, P.A.1    Policastro, G.2    Porrati, M.3    Van Nieuwenhuizen, P.4
  • 66
    • 33947617426 scopus 로고    scopus 로고
    • On the covariant quantization of type-II superstrings
    • S. Guttenberg, J. Knapp and M. Kreuzer, On the covariant quantization of type-II superstrings 2004 J. High Energy Phys. JHEP06(2004)030 [hep-th/0405007]
    • (2004) J. High Energy Phys. , vol.2004 , Issue.6 , pp. 030
    • Guttenberg, S.1    Knapp, J.2    Kreuzer, M.3
  • 67
    • 49249141707 scopus 로고
    • Structure of representations with highest weight of infinite dimensional Lie algebras
    • V. Kac and D. Kazhdan, Structure of representations with highest weight of infinite dimensional Lie algebras 1979 Adv. Math. 34 97
    • (1979) Adv. Math. , vol.34 , Issue.1 , pp. 97
    • Kac, V.1    Kazhdan, D.2
  • 69
    • 0001302993 scopus 로고
    • Infinite dimensional Lie algebras, theta functions and modular forms
    • V.G. Kac and D. H. Peterson, Infinite dimensional Lie algebras, theta functions and modular forms, 1984 Adv. Math. 53 125
    • (1984) Adv. Math. , vol.53 , Issue.2 , pp. 125
    • Kac, V.G.1    Peterson, D.H.2


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