3D N\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathcal{N} $$\end{document} = 1 supergravity from Virasoro TQFT: gravitational partition function and Out-of-time-order correlator

被引：0

作者：

Arpan Bhattacharyya ^{[1
]}

Saptaswa Ghosh ^{[1
]}

Poulami Nandi ^{[2
]}

Sounak Pal ^{[1
]}

机构：

[1] Indian Institute of Technology,David Rittenhouse Laboratory

[2] University of Pennsylvania,undefined

来源：

Journal of High Energy Physics | / 2025卷 / 2期

关键词：

AdS-CFT Correspondence; Topological Field Theories; Field Theories in Lower Dimensions; Models of Quantum Gravity;

D O I：

10.1007/JHEP02(2025)027

中图分类号：

学科分类号：

摘要：

In this paper, we compute the partition functions of N\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathcal{N} $$\end{document} = 1 SUGRA for different boundary topologies, i.e. punctured sphere and torus, using super-Virasoro TQFT. We use fusion and modular kernels of the super-Liouville theory to compute the necklace-channel conformal block and showcase formalism by proving that the inner product holds for superconformal blocks, defined as states in the Hilbert space. Finally, we compute the out-of-time-order correlator for the torus topology with superconformal primary insertions as matter using the tools of super-Virasoro TQFT and investigate its early-time behaviour.

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