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“On the classification of rational conformal field theories”, Samir D. Mathur, Sunil Mukhi and Ashoke Sen, Phys. Lett. B 213 (1988) 303–308 http://dx.doi.org/10.1016/0370-2693(88)91765-0
1988
Earlier work this paper cites.
“Modular geometry and the classification of rational conformal field theories”, S. Mukhi, Jun 1989, in Islamabad 1989, Proceedings, Mathematical physics
1989
Earlier work this paper cites.
“Differential equations for correlators and characters in arbitrary rational conformal field theories”, Samir D. Mathur, Sunil Mukhi and Ashoke Sen Nucl. Phys/ B 312 (1989) 15–57 http://dx.doi.org/10.1016/0550-3213(89)90022-9
1989
Earlier work this paper cites.
“Reconstruction of conformal field theories from modular geometry on the torus”, Samir D. Mathur, Sunil Mukhi and Ashoke Sen, Nucl. Phys. B 318 (1989) 483–540 http://dx.doi.org/10.1016/0550-3213(89)90615-9
1989
Earlier work this paper cites.
“Rational conformal field theories at, and away from, criticality as Toda field theories” T.J. Hollowood and P. Mansfield, Phys. Lett. B 226 (1989) 73–79 http://dx.doi.org/10.1016/0370-2693(89)90291-8
1989
Earlier work this paper cites.
“Modular transformations of c ≥ 1 c\geq 1 Virasoro characters” J. Lacki, M. Ruiz-Altaba and P. Zaugg Phys. Lett. B 247 (1990) 493–498 http://dx.doi.org/10.1016/0370-2693(90)91891-E
1990
Earlier work this paper cites.

Similar

“Toda Theories, W W -algebras, and minimal models”, P. Mansfield and B.J. Spence; Nucl. Phys. B 362 (1991) 294–328, http://dx.doi.org/10.1016/0550-3213(91)90565-F
1991
Cited alongside, same era.
“Introduction to Modular Forms”, D. Zagier, in “From Number Theory to Physics”, Springer 1992, Waldschmidt, M., Moussa, P., Luck, J.-M., Itzykson, C. (Eds.)
1992
Cited alongside, same era.
“Conformal Field Theory”; P. Di Francesco, P. Mathieu, D. Sénéchal; Springer; 1997
1997
Cited alongside, same era.
“Modular differential equations and null vectors”, M. Gaberdiel and C. Keller, JHEP 0809:079,2008, http://dx.doi.org/10.1088/1126-6708/2008/09/079
Original
2008
Cited alongside, same era.
“ A N − 1 A_{N-1} conformal Toda field theory correlation functions from conformal N=2 SU(N) quiver gauge theories,“ N. Wyllard, JHEP 0911:002,2009, http://dx.doi.org/10.1088/1126-6708/2009/11/002

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2014

Iles, Nicholas J., Watts, Gérard M. T.

In a previous work, exact formulae and differential equations were found for traces of powers of the zero mode in the W3 algebra.

In this paper we investigate their modular properties, in particular we find the exact result for the modular transformations of traces of $W_0^n$ for n = 1, 2, 3, solving exactly the problem studied approximately by Gaberdiel, Hartman and Jin.
We also find modular differential equations satisfied by traces with a single $W_0$ inserted, and relate them to differential equations studied by Mathur et al.
We find that, remarkably, these all seem to be related to weight 0 modular forms with expansions with non-negative integer coefficients.

“On the classification of rational conformal field theories”, Samir D. Mathur, Sunil Mukhi and Ashoke Sen, Phys. Lett. B 213 (1988) 303–308 http://dx.doi.org/10.1016/0370-2693(88)91765-0
1988
Earlier work this paper cites.
“Modular geometry and the classification of rational conformal field theories”, S. Mukhi, Jun 1989, in Islamabad 1989, Proceedings, Mathematical physics
1989
Earlier work this paper cites.
“Differential equations for correlators and characters in arbitrary rational conformal field theories”, Samir D. Mathur, Sunil Mukhi and Ashoke Sen Nucl. Phys/ B 312 (1989) 15–57 http://dx.doi.org/10.1016/0550-3213(89)90022-9
1989
Earlier work this paper cites.
“Reconstruction of conformal field theories from modular geometry on the torus”, Samir D. Mathur, Sunil Mukhi and Ashoke Sen, Nucl. Phys. B 318 (1989) 483–540 http://dx.doi.org/10.1016/0550-3213(89)90615-9
1989
Earlier work this paper cites.
“Rational conformal field theories at, and away from, criticality as Toda field theories” T.J. Hollowood and P. Mansfield, Phys. Lett. B 226 (1989) 73–79 http://dx.doi.org/10.1016/0370-2693(89)90291-8
1989
Earlier work this paper cites.
“Modular transformations of c ≥ 1 c\geq 1 Virasoro characters” J. Lacki, M. Ruiz-Altaba and P. Zaugg Phys. Lett. B 247 (1990) 493–498 http://dx.doi.org/10.1016/0370-2693(90)91891-E
1990
Earlier work this paper cites.

“Toda Theories, W W -algebras, and minimal models”, P. Mansfield and B.J. Spence; Nucl. Phys. B 362 (1991) 294–328, http://dx.doi.org/10.1016/0550-3213(91)90565-F
1991
Cited alongside, same era.
“Introduction to Modular Forms”, D. Zagier, in “From Number Theory to Physics”, Springer 1992, Waldschmidt, M., Moussa, P., Luck, J.-M., Itzykson, C. (Eds.)
1992
Cited alongside, same era.
“Conformal Field Theory”; P. Di Francesco, P. Mathieu, D. Sénéchal; Springer; 1997
1997
Cited alongside, same era.
“Modular differential equations and null vectors”, M. Gaberdiel and C. Keller, JHEP 0809:079,2008, http://dx.doi.org/10.1088/1126-6708/2008/09/079
Original
2008
Cited alongside, same era.
“ A N − 1 A_{N-1} conformal Toda field theory correlation functions from conformal N=2 SU(N) quiver gauge theories,“ N. Wyllard, JHEP 0911:002,2009, http://dx.doi.org/10.1088/1126-6708/2009/11/002

alphaXiv searches the wider corpus for related work and actual follow-ups.

alphaXiv is searching for related work…

2009

Cited alongside, same era.

2014

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