String Theory Seminars
On relation between 4d superconformal indices and lower-dimensional partition functions
by Dr. Satoshi Nawata (TIFR)
Monday, May 30, 2011
from
to
(Asia/Kolkata)
at Colaba Campus ( A304 )
at Colaba Campus ( A304 )
Description |
After the work of Kapustin et al, many 3d partition functions has been computed exactly by using localization technique. Recently it was found that various 3d partition functions can be obtained by taking certain limits of 4d superconformal indices. From this identification, one can give an explanation of 3d mirror symmetry by Electro-Magnetic duality (S-duality) of 4d theory. In addition, it was shown by Rastelli et al that q-deformed 2d Yang-Mills theory which is topological becomes a tool to compute N=2 4d superconformal indices. Dualities such as mirror symmetry, S-duality and Gaiotto duality can be used to obtain twisted partition functions for theories without Lagrangian descriptions. This development is also closely related to 3d AGT relation. Reference: From 4d superconformal indices to 3d partition functions by F. A. H. Dolan, V. P. Spiridonov, G. S. Vartanov http://arxiv.org/abs/1104.1787 Reducing the 4d Index to the S3 Partition Function by A. Gadde, W. Yan http://arxiv.org/abs/1104.2592 Relation between the 4d superconformal index and the S3 partition function by Y. Imamura http://arxiv.org/abs/1104.4482 3d Partition Function as Overlap of Wavefunctions by T. Nishioka, Y. Tachikawa, M. Yamazaki http://arxiv.org/abs/1105.4390 For 3d AGT relation AGT on the S-duality Wall Notes on SUSY Gauge Theories on Three-Sphere SUSY Gauge Theories on Squashed Three-Spheres by K. Hosomichi, S. Lee, J. Park http://arxiv.org/abs/1009.0340 http://arxiv.org/abs/1012.3512 http://arxiv.org/abs/1102.4716 |