English

$AdS_2$ holography and ModMax

High Energy Physics - Theory 2023-07-26 v2 General Relativity and Quantum Cosmology

Abstract

We present a JT gravity set up in the presence of projected ModMax corrections in two dimensions. Our starting point is the Einstein's gravity in four dimensions accompanied by the ModMax Lagrangian. The 2D gravity action is obtained following a suitable dimensional reduction which contains a 2D image of the 4D ModMax Lagrangian. We carry out a perturbative analysis to find out the vacuum structure of the theory which asymptotes to AdS2AdS_2 in the absence of U(1)U(1) gauge fields. We estimate the holographic central charge and obtain corrections perturbatively upto quadratic order in the ModMax and the U(1)U(1) coupling. We also find out ModMax corrected 2D black hole solutions and discuss their extremal limits.

Keywords

Cite

@article{arxiv.2303.14379,
  title  = {$AdS_2$ holography and ModMax},
  author = {Hemant Rathi and Dibakar Roychowdhury},
  journal= {arXiv preprint arXiv:2303.14379},
  year   = {2023}
}

Comments

Latex, 28 pages, accepted for publication in JHEP, discussion on conformal dimensions is added, quadratic order corrections in the $U(1)$ coupling are included

R2 v1 2026-06-28T09:33:15.998Z