[1] Y. Hikida, V. Schomerus, The FZZ-duality conjecture: a proof, J. High Energy Phys. 03 (2009) 095, arXiv:0805.
3931.
[2] T. Creutzig, Y. Hikida, P.B. Rønne, The FZZ duality with boundary, J. High Energy Phys. 09 (2011) 004, arXiv:
1012.4731.
[3] T. Creutzig, Y. Hikida, Higher rank FZZ-dualities, J. High Energy Phys. 02 (2021) 140, arXiv:2010.14681.
[4] T. Creutzig, Y. Hikida, D. Stockall, Correlator correspondences for subregular W-algebras and principal Wsuperalgebras, J. High Energy Phys. 10 (2021) 032, arXiv:2106.15073.
[5] T. Creutzig, Y. Hikida, Correlator correspondences for Gaiotto-Rapˇcák dualities and first order formulation of coset
models, J. High Energy Phys. 12 (2021) 144, arXiv:2109.03403.
[6] S. Ribault, J. Teschner, H3+ -WZNW correlators from Liouville theory, J. High Energy Phys. 06 (2005) 014, arXiv:
hep-th/0502048.
[7] S. Ribault, Knizhnik-Zamolodchikov equations and spectral flow in AdS3 string theory, J. High Energy Phys. 09
(2005) 045, arXiv:hep-th/0507114.
[8] Y. Hikida, V. Schomerus, H3+ WZNW model from Liouville field theory, J. High Energy Phys. 10 (2007) 064,
arXiv:0706.1030.
[9] Y. Hikida, V. Schomerus, Structure constants of the OSP (1|2) WZNW model, J. High Energy Phys. 12 (2007) 100,
arXiv:0711.0338.
[10] T. Creutzig, Y. Hikida, P.B. Rønne, Supergroup - extended super Liouville correspondence, J. High Energy Phys.
06 (2011) 063, arXiv:1103.5753.
[11] T. Creutzig, Y. Hikida, P.B. Rønne, Correspondences between WZNW models and CFTs with W-algebra symmetry,
J. High Energy Phys. 02 (2016) 048, arXiv:1509.07516.
[12] T. Creutzig, N. Genra, Y. Hikida, T. Liu, Correspondences among CFTs with different W-algebra symmetry, Nucl.
Phys. B 957 (2020) 115104, arXiv:2002.12587.
[13] D. Gaiotto, M. Rapˇcák, Vertex algebras at the corner, J. High Energy Phys. 01 (2019) 160, arXiv:1703.00982.
[14] T. Creutzig, A.R. Linshaw, Trialities of W-algebras, arXiv:2005.10234.
[15] T. Creutzig, A.R. Linshaw, Trialities of orthosymplectic W-algebras, arXiv:2102.10224.
[16] T. Creutzig, B. Feigin, A.R. Linshaw, N = 4 superconformal algebras and diagonal cosets, Int. Math. Res. Not.
(2020), arXiv:1910.01228.
[17] V. Fateev, A. Zamolodchikov, A. Zamolodchikov, unpublished.
[18] E. Witten, On string theory and black holes, Phys. Rev. D 44 (1991) 314.
[19] V. Kazakov, I.K. Kostov, D. Kutasov, A matrix model for the two-dimensional black hole, Nucl. Phys. B 622 (2002)
141, arXiv:hep-th/0101011.
[20] K. Hori, A. Kapustin, Duality of the fermionic 2-D black hole and N = 2 Liouville theory as mirror symmetry, J.
High Energy Phys. 08 (2001) 045, arXiv:hep-th/0104202.
[21] H. Ooguri, C. Vafa, Two-dimensional black hole and singularities of CY manifolds, Nucl. Phys. B 463 (1996) 55,
arXiv:hep-th/9511164.
[22] M.R. Gaberdiel, R. Gopakumar, An AdS3 dual for minimal model CFTs, Phys. Rev. D 83 (2011) 066007, arXiv:
1011.2986.
[23] T. Creutzig, Y. Hikida, P.B. Rønne, Higher spin AdS3 supergravity and its dual CFT, J. High Energy Phys. 02 (2012)
109, arXiv:1111.2139.
[24] T. Arakawa, T. Creutzig, A.R. Linshaw, W-algebras as coset vertex algebras, Invent. Math. 218 (2019) 145, arXiv:
1801.03822.
[25] A. Gerasimov, A. Marshakov, A. Morozov, Free field representation of parafermions and related coset models,
Theor. Math. Phys. 83 (1990) 466.
[26] M. Kuwahara, N. Ohta, H. Suzuki, Conformal field theories realized by free fields, Nucl. Phys. B 340 (1990) 448.
(1)
[27] M. Wakimoto, Fock representations of the affine Lie algebra A1 , Commun. Math. Phys. 104 (1986) 605.
[28] K. Gawedzki, A. Kupiainen, Coset construction from functional integrals, Nucl. Phys. B 320 (1989) 625.
41
A Self-archived copy in
Kyoto University Research Information Repository
https://repository.kulib.kyoto-u.ac.jp
T. Creutzig and Y. Hikida
Nuclear Physics B 977 (2022) 115734
[29] D. Karabali, Q.-H. Park, H.J. Schnitzer, Z. Yang, A GKO construction based on a path integral formulation of
gauged Wess-Zumino-Witten actions, Phys. Lett. B 216 (1989) 307.
[30] D. Karabali, H.J. Schnitzer, BRST quantization of the gauged WZW action and coset conformal field theories, Nucl.
Phys. B 329 (1990) 649.
[31] S. Hwang, H. Rhedin, The BRST formulation of G/H WZNW models, Nucl. Phys. B 406 (1993) 165, arXiv:
hep-th/9305174.
[32] T. Kugo, I. Ojima, Local covariant operator formalism of nonabelian gauge theories and quark confinement problem,
Prog. Theor. Phys. Suppl. 66 (1979) 1.
[33] P. Goddard, A. Kent, D.I. Olive, Unitary representations of the Virasoro and super-Virasoro algebras, Commun.
Math. Phys. 103 (1986) 105.
[34] P. Bowcock, M. Hayes, A. Taormina, Parafermionic representation of the affine sl(2|1 : C) algebra at fractional
level, Phys. Lett. B 468 (1999) 239, arXiv:hep-th/9803024.
[35] B.L. Feigin, A.M. Semikhatov, The affine (sl(2) + sl(2))/sl(2) coset theory as a Hamiltonian reduction of the
exceptional affine Lie superalgebra D(2|1 : α), Nucl. Phys. B 610 (2001) 489, arXiv:hep-th/0102078.
[36] A. Sevrin, W. Troost, A. Van Proeyen, Superconformal algebras in two-dimensions with N = 4, Phys. Lett. B 208
(1988) 447.
[37] K. Schoutens, O(n) extended superconformal field theory in superspace, Nucl. Phys. B 295 (1988) 634.
[38] P. Bowcock, B.L. Feigin, A.M. Semikhatov, A. Taormina, Affine sl(2|1) and affine D(2|1 : α) as vertex operator
extensions of dual affine sl(2) algebras, Commun. Math. Phys. 214 (2000) 495, arXiv:hep-th/9907171.
[39] T. Creutzig, D. Gaiotto, Vertex algebras for S-duality, Commun. Math. Phys. 379 (2020) 785, arXiv:1708.00875.
[40] T. Creutzig, D. Gaiotto, A.R. Linshaw, S-duality for the large N = 4 superconformal algebra, Commun. Math.
Phys. 374 (2020) 1787, arXiv:1804.09821.
[41] S. Elitzur, O. Feinerman, A. Giveon, D. Tsabar, String theory on AdS3 × S 3 × S 3 × S 1 , Phys. Lett. B 449 (1999)
180, arXiv:hep-th/9811245.
[42] J. de Boer, A. Pasquinucci, K. Skenderis, AdS/CFT dualities involving large 2-D N = 4 superconformal symmetry,
Adv. Theor. Math. Phys. 3 (1999) 577, arXiv:hep-th/9904073.
[43] S. Gukov, E. Martinec, G.W. Moore, A. Strominger, The search for a holographic dual to AdS3 × S 3 × S 3 × S 1 ,
Adv. Theor. Math. Phys. 9 (2005) 435, arXiv:hep-th/0403090.
[44] L. Eberhardt, M.R. Gaberdiel, R. Gopakumar, W. Li, BPS spectrum on AdS3 × S 3 × S 3 × S 1 , J. High Energy Phys.
03 (2017) 124, arXiv:1701.03552.
[45] L. Eberhardt, M.R. Gaberdiel, W. Li, A holographic dual for string theory on AdS3 × S 3 × S 3 × S 1 , J. High Energy
Phys. 08 (2017) 111, arXiv:1707.02705.
[46] D. Tong, The holographic dual of AdS3 × S 3 × S 3 × S 1 , J. High Energy Phys. 04 (2014) 193, arXiv:1402.5135.
[47] A. Sevrin, W. Troost, A. Van Proeyen, P. Spindel, Extended supersymmetric sigma models on group manifolds. 2.
Current algebras, Nucl. Phys. B 311 (1988) 465.
[48] A. Van Proeyen, Realizations of N = 4 superconformal algebras on Wolf spaces, Class. Quantum Gravity 6 (1989)
1501.
[49] A. Sevrin, G. Theodoridis, N = 4 superconformal coset theories, Nucl. Phys. B 332 (1990) 380.
[50] M.R. Gaberdiel, R. Gopakumar, Large N = 4 holography, J. High Energy Phys. 09 (2013) 036, arXiv:1305.4181.
[51] M. Gunaydin, J.L. Petersen, A. Taormina, A. Van Proeyen, On the unitary representations of a class of N = 4
superconformal algebras, Nucl. Phys. B 322 (1989) 402.
[52] J.L. Petersen, A. Taormina, Characters of the N = 4 superconformal algebra with two central extensions, Nucl.
Phys. B 331 (1990) 556.
[53] J.L. Petersen, A. Taormina, Characters of the N = 4 superconformal algebra with two central extensions: 2. Massless representations, Nucl. Phys. B 333 (1990) 833.
[54] T. Creutzig, Geometry of branes on supergroups, Nucl. Phys. B 812 (2009) 301, arXiv:0809.0468.
[55] T. Creutzig, Y. Hikida, Branes in the OSP(1|2) WZNW model, Nucl. Phys. B 842 (2011) 172, arXiv:1004.1977.
[56] T. Creutzig, V. Schomerus, Boundary correlators in supergroup WZNW models, Nucl. Phys. B 807 (2009) 471,
arXiv:0804.3469.
[57] T. Creutzig, P.B. Rønne, From world-sheet supersymmetry to super target spaces, J. High Energy Phys. 11 (2010)
021, arXiv:1006.5874.
[58] K. Ito, J.O. Madsen, J.L. Petersen, Free field representations and screening operators for the N = 4 doubly extended
superconformal algebras, Phys. Lett. B 292 (1992) 298, arXiv:hep-th/9207010.
[59] T. Creutzig, S. Kanade, R. McRae, Glueing vertex algebras, arXiv:1906.00119.
[60] Y. Moriwaki, Quantum coordinate ring in WZW model and affine vertex algebra extensions, arXiv:2111.11357.
[61] I.B. Frenkel, H. Garland, G.J. Zuckerman, Semiinfinite cohomology and string theory, Proc. Natl. Acad. Sci. USA
83 (1986) 8442.
42
A Self-archived copy in
Kyoto University Research Information Repository
https://repository.kulib.kyoto-u.ac.jp
T. Creutzig and Y. Hikida
Nuclear Physics B 977 (2022) 115734
[62] T. Creutzig, N. Genra, S. Nakatsuka, R. Sato, Correspondences of categories for subregular W-algebras and principal
W-superalgebras, arXiv:2104.00942.
[63] T. Creutzig, A. Linshaw, S. Nakatsuka, R. Sato, Duality via convolution of W-algebras, arXiv:2203.01843.
[64] Y. Kazama, H. Suzuki, Characterization of N = 2 superconformal models generated by coset space method, Phys.
Lett. B 216 (1989) 112.
[65] Y. Kazama, H. Suzuki, New N = 2 superconformal field theories and superstring compactification, Nucl. Phys. B
321 (1989) 232.
(2)
[66] B. Feigin, A. Semikhatov, Wn algebras, Nucl. Phys. B 698 (2004) 409, arXiv:math/0401164.
[67] T. Creutzig, N. Genra, S. Nakatsuka, Duality of subregular W -algebras and principal W -superalgebras, Adv. Math.
383 (2021) 107685, arXiv:2005.10713.
[68] S. Ribault, V. Schomerus, Branes in the 2-D black hole, J. High Energy Phys. 02 (2004) 019, arXiv:hep-th/0310024.
[69] K. Hosomichi, N = 2 Liouville theory with boundary, J. High Energy Phys. 12 (2006) 061, arXiv:hep-th/0408172.
[70] L. Frappat, P. Sorba, A. Sciarrino, Dictionary on Lie superalgebras, arXiv:hep-th/9607161.
[71] V. Fateev, S. Ribault, Boundary action of the H3+ model, J. High Energy Phys. 02 (2008) 024, arXiv:0710.2093.
43
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