Year: 2025
Type: article
Abstract: A bstract We examine the low-energy spectrum of a four-dimensional near-extremal black hole that arises as a solution to a low energy effective theory of heterotic string theory. The effective two-dimensional gravitational description exhibits features of Lifshitz symmetry, which break the usual SL(2, ℝ ) invariance down to U(1). For this effective two-dimensional gravitational description, we derive a one-dimensional Schwarzian-like action that inherits the U(1) symmetry. The Schwarzian-like description allows us to compute a logarithmic correction to the entropy through a saddle-point approximation of the two-dimensional partition function. This logarithmic correction modifies the density of states, lifting the delta-function divergence at extremality, and removes the exponential ground-state degeneracy seen in the semiclassical analysis. Furthermore, the prefactor of the logarithmic term is $$ \frac{1}{2} $$ 1 2 , rather than $$ \frac{3}{2} $$ 3 2 found for the SL(2, ℝ ) invariant description, indeed reflecting having fewer symmetries.
Source: Journal of High Energy Physics
Authors: Matthias Harksen, Watse Sybesma
Institutions: University of Iceland, University of Cambridge
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4409159728