Conformal blocks and generalized Selberg integrals
作者： A. Mironov , Al. Morozov , And. Morozov
DOI: 10.1016/J.NUCLPHYSB.2010.10.016
关键词:
摘要: Abstract Operator product expansion (OPE) of two operators in two-dimensional conformal field theory includes a sum over Virasoro descendants other operator with universal coefficients, dictated exclusively by properties the algebra and independent choice particular model. In free model, these coefficients arise only special “conservation” relation imposed on three dimensions involved OPE. We demonstrate that for unconstrained formalism when additional Dotsenko–Fateev integrals are inserted between positions original product. If such combined to form an n -point block Riemann sphere, one reproduces earlier conjectured β -ensemble representation blocks. The statement can also be regarded as 3 j -symbols slightly generalized Selberg I Y , associated arbitrary Young diagrams. blocks multilinear combinations AGT conjecture relates them Nekrasov functions which have exactly same structure.
arxiv.org
harvard.edu
elsevier.com
sci-hub.se 参考文章(119)
A. B. Zamolodchikov, Al. B. Zamolodchikov, Conformal Field Theory and Critical Phenomena in Two Dimensional Systems ,(1989)
Andrey Morozov, Andrei Mironov, Alexei Morozov, Sergei Mironov, CFT exercises for the needs of AGT arXiv: High Energy Physics - Theory. ,(2009)
A. Popolitov, On relation between Nekrasov functions and BS periods in pure SU(N) case arXiv: High Energy Physics - Theory. ,(2010)
H. J. Otto, H. Dorn, On Correlation Functions for Non-critical Strings with c 1 arXiv: High Energy Physics - Theory. ,(1992) , 10.1016/0370-2693(92)90116-L
A. Mironov, L. Chekhov, A. Marshakov, D. Vasiliev, Complex geometry of matrix models Proc.Steklov Inst.Math.. ,vol. 251, pp. 254- 292 ,(2005)
Cumrun Vafa, Robbert Dijkgraaf, Toda Theories, Matrix Models, Topological Strings, and N=2 Gauge Systems arXiv: High Energy Physics - Theory. ,(2009)
H. Itoyama, A. Morozov, Experiments with the WDVV equations for the gluino condensate prepotential: The Cubic (two cut) case Physics Letters B. ,vol. 555, pp. 287- 295 ,(2003) , 10.1016/S0370-2693(03)00077-7
H. Itoyama, A. Morozov, The Dijkgraaf–Vafa prepotential in the context of general Seiberg–Witten theory Nuclear Physics. ,vol. 657, pp. 53- 78 ,(2003) , 10.1016/S0550-3213(03)00172-X
A. Mironov, A. Morozov, The Power of Nekrasov Functions Physics Letters B. ,vol. 680, pp. 188- 194 ,(2009) , 10.1016/J.PHYSLETB.2009.08.061
A. Gerasimov, A. Marshakov, A. Morozov, Hamiltonian reduction of the Wess-Zumino-Witten theory from the point of view of bosonization Physics Letters B. ,vol. 236, pp. 269- 272 ,(1990) , 10.1016/0370-2693(90)90980-K