Superconformal Indices of $${{\mathcal N}=4}$$ SYM
Field Theories |
| |
Authors: | Vyacheslav P Spiridonov Grigory S Vartanov |
| |
Institution: | 1.Bogoliubov Laboratory of Theoretical Physics, JINR,Dubna,Russia;2.Max-Planck-Institut für Mathematik,Bonn,Germany;3.Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut,Golm,Germany |
| |
Abstract: | Superconformal indices (SCIs) of 4d
N = 4{{\mathcal N} = 4} SYM theories with simple gauge groups are described in terms of elliptic hypergeometric integrals. For F
4, E
6, E
7, E
8 gauge groups this yields first examples of integrals of such type. S-duality transformation for G
2 and F
4 SCIs is equivalent to a change of integration variables. Equality of SCIs for SP(2N) and SO(2N + 1) group theories is proved in several important special cases. Reduction of SCIs to partition functions of 3d
N=2{{\mathcal N}=2} SYM theories with one matter field in the adjoint representation is investigated, corresponding 3d dual partners are found, and some new related hyperbolic beta integrals are conjectured. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|