Built on

H. Bateman and A. Erdelyi, Higher Transcendental Functions , Volume 3 (1953)
Original
1953
Earlier work this paper cites.
D. Friedan, Z.-a. Qiu and S. H. Shenker, Superconformal Invariance in Two-Dimensions and the Tricritical Ising Model , Phys. Lett. 151B
1985
Earlier work this paper cites.
M. A. Bershadsky, V. G. Knizhnik and M. G. Teitelman, Superconformal Symmetry in Two-Dimensions , Phys. Lett. 151B
1985
Earlier work this paper cites.
P. Goddard, A. Kent and D. I. Olive, Unitary Representations of the Virasoro and Supervirasoro Algebras , Commun. Math. Phys. 103
1986
Earlier work this paper cites.
D. Friedan, Notes on string theory and two-dimensional conformal field theory , preprint EFI 85-99 (1986)
1986
Earlier work this paper cites.
L. Alvarez-Gaume and P. Zaugg, Structure constants in the N=1 superoperator algebra , Annals Phys. 215
1992
Earlier work this paper cites.
A. Lesniewski, A remark on the Casimir elements of Lie superalgebras and quantized Lie superalgebras , J. Math. Phys. 36
1995
Earlier work this paper cites.
D. Arnaudon and M. Bauer, Scasimir operator, scentre and representations of U-q(osp(1—2)) , Lett. Math. Phys. 40
1997
Earlier work this paper cites.
I. P. Ennes, A. V. Ramallo and J. M. Sanchez de Santos, O S P ( 1 | 2 ) OSP(1|2) conformal field theory , AIP Conf. Proc. 419
1998
Earlier work this paper cites.
M. Dorrzapf, The Definition of Neveu-Schwarz superconformal fields and uncharged superconformal transformations , Rev. Math. Phys. 11
1999
Earlier work this paper cites.
P. K. Ghosh, SuperCalogero model with OSp(2—2) supersymmetry: Is the construction unique? , Nucl. Phys. B681
2004
Earlier work this paper cites.
A. Belavin, V. Belavin, A. Neveu and A. Zamolodchikov, Bootstrap in Supersymmetric Liouville Field Theory. I. NS Sector , Nucl. Phys. B784
2007
Earlier work this paper cites.
G. Gotz, T. Quella and V. Schomerus, Representation theory of s l ( 2 | 1 ) sl(2|1) , J. Algebra 312
2007
Earlier work this paper cites.
L. Hadasz, Z. Jaskolski and P. Suchanek, Elliptic recurrence representation of the N = 1 Neveu-Schwarz blocks , Nucl. Phys. B798
Original
2008
Earlier work this paper cites.
R. Poghossian, Recursion relations in CFT and N=2 SYM theory , JHEP 12
Original
2009
Earlier work this paper cites.
L. Hadasz, Z. Jaskolski and P. Suchanek, Recursive representation of the torus 1-point conformal block , JHEP 01
Original
2010
Earlier work this paper cites.

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P. Banerjee, S. Datta and R. Sinha, Higher-point conformal blocks and entanglement entropy in heavy states , JHEP 05
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K. B. Alkalaev and V. A. Belavin, Holographic interpretation of 1-point toroidal block in the semiclassical limit , JHEP 06
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Later among the works it cites.
B. Chen, J.-q. Wu and J.-j. Zhang, Holographic Description of 2D Conformal Block in Semi-classical Limit , JHEP 10
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2018

Large-c superconformal torus blocks

Alkalaev, K. B., Belavin, V. A.

Understand

We study large-c SCFT2 on a torus specializing to one-point superblocks in the N=1 Neveu-Schwarz sector.

Considering different contractions of the Neveu-Schwarz superalgebra related to the large central charge limit we explicitly calculate three superblocks, osp(1|2) global, light, and heavy-light superblocks, and show that they are related to each other.
We formulate the osp(1|2) superCasimir eigenvalue equations and identify their particular solutions as the global superblocks.
It is shown that the resulting differential equations are the Heun equations.

Built on

H. Bateman and A. Erdelyi, Higher Transcendental Functions , Volume 3 (1953)
Original
1953
Earlier work this paper cites.
D. Friedan, Z.-a. Qiu and S. H. Shenker, Superconformal Invariance in Two-Dimensions and the Tricritical Ising Model , Phys. Lett. 151B
1985
Earlier work this paper cites.
M. A. Bershadsky, V. G. Knizhnik and M. G. Teitelman, Superconformal Symmetry in Two-Dimensions , Phys. Lett. 151B
1985
Earlier work this paper cites.
P. Goddard, A. Kent and D. I. Olive, Unitary Representations of the Virasoro and Supervirasoro Algebras , Commun. Math. Phys. 103
1986
Earlier work this paper cites.
D. Friedan, Notes on string theory and two-dimensional conformal field theory , preprint EFI 85-99 (1986)
1986
Earlier work this paper cites.
L. Alvarez-Gaume and P. Zaugg, Structure constants in the N=1 superoperator algebra , Annals Phys. 215
1992
Earlier work this paper cites.
A. Lesniewski, A remark on the Casimir elements of Lie superalgebras and quantized Lie superalgebras , J. Math. Phys. 36
1995
Earlier work this paper cites.
D. Arnaudon and M. Bauer, Scasimir operator, scentre and representations of U-q(osp(1—2)) , Lett. Math. Phys. 40
1997
Earlier work this paper cites.
I. P. Ennes, A. V. Ramallo and J. M. Sanchez de Santos, O S P ( 1 | 2 ) OSP(1|2) conformal field theory , AIP Conf. Proc. 419
1998
Earlier work this paper cites.
M. Dorrzapf, The Definition of Neveu-Schwarz superconformal fields and uncharged superconformal transformations , Rev. Math. Phys. 11
1999
Earlier work this paper cites.
P. K. Ghosh, SuperCalogero model with OSp(2—2) supersymmetry: Is the construction unique? , Nucl. Phys. B681
2004
Earlier work this paper cites.
A. Belavin, V. Belavin, A. Neveu and A. Zamolodchikov, Bootstrap in Supersymmetric Liouville Field Theory. I. NS Sector , Nucl. Phys. B784
2007
Earlier work this paper cites.
G. Gotz, T. Quella and V. Schomerus, Representation theory of s l ( 2 | 1 ) sl(2|1) , J. Algebra 312
2007
Earlier work this paper cites.
L. Hadasz, Z. Jaskolski and P. Suchanek, Elliptic recurrence representation of the N = 1 Neveu-Schwarz blocks , Nucl. Phys. B798
Original
2008
Earlier work this paper cites.
R. Poghossian, Recursion relations in CFT and N=2 SYM theory , JHEP 12
Original
2009
Earlier work this paper cites.
L. Hadasz, Z. Jaskolski and P. Suchanek, Recursive representation of the torus 1-point conformal block , JHEP 01
Original
2010
Earlier work this paper cites.