Topologically twisted index of T[SU(N)] at large N

Abstract We compute, in the large N limit, the topologically twisted index of the 3d T[SU(N)] theory, namely the partition function on Σ g × S 1 $$ {\Sigma}_{\mathfrak{g}}\times {S}^1 $$ , with a topological twist on the Riemann surface Σ g $$ {\Sigma}_{\mathfrak{g}} $$ . To provide an expression fo...

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Bibliographic Details
Main Author: Lorenzo Coccia
Format: Article
Language:English
Published: SpringerOpen 2021-05-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP05(2021)264
Description
Summary:Abstract We compute, in the large N limit, the topologically twisted index of the 3d T[SU(N)] theory, namely the partition function on Σ g × S 1 $$ {\Sigma}_{\mathfrak{g}}\times {S}^1 $$ , with a topological twist on the Riemann surface Σ g $$ {\Sigma}_{\mathfrak{g}} $$ . To provide an expression for this quantity, we take advantage of some recent results obtained for five dimensional quiver gauge theories. In case of a universal twist, we correctly reproduce the entropy of the universal black hole that can be embedded in the holographically dual solution.
ISSN:1029-8479