Heterotic Black Holes in Duality-Invariant Formalism

Fuente: arXiv
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Main Author: Moitra, Upamanyu
Format: Preprint
Published: 2025
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author Moitra, Upamanyu
author_facet Moitra, Upamanyu
contents We consider the effective theory of heterotic strings in two spacetime dimensions, in a double field theory-inspired formalism, manifestly consistent with $T$-duality in string theory. Restricting the gauge group to a single $\mathrm{U}(1)$, we study the charged black hole solution and perform a precise analysis of the properties of the dual geometry with the $\mathrm{O}(1,2; \mathbb{R})$-valued generalized metric. We comment on some aspects related to singularities and gauge dependence. We show that the classification program for higher derivative corrections can also be applied to the heterotic case. We further elucidate how a previously proposed solution to the equations of motion, parametrized in a manner fully non-perturbative in $α'$, can be extended to the scenario with $r$ abelian fields and the corresponding $\mathrm{O}(1,1+r; \mathbb{R})$ symmetry. We discuss some novel features of the solution for charged black holes.
format Preprint
id arxiv_https___arxiv_org_abs_2511_21687
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Heterotic Black Holes in Duality-Invariant Formalism
Moitra, Upamanyu
High Energy Physics - Theory
General Relativity and Quantum Cosmology
Mathematical Physics
We consider the effective theory of heterotic strings in two spacetime dimensions, in a double field theory-inspired formalism, manifestly consistent with $T$-duality in string theory. Restricting the gauge group to a single $\mathrm{U}(1)$, we study the charged black hole solution and perform a precise analysis of the properties of the dual geometry with the $\mathrm{O}(1,2; \mathbb{R})$-valued generalized metric. We comment on some aspects related to singularities and gauge dependence. We show that the classification program for higher derivative corrections can also be applied to the heterotic case. We further elucidate how a previously proposed solution to the equations of motion, parametrized in a manner fully non-perturbative in $α'$, can be extended to the scenario with $r$ abelian fields and the corresponding $\mathrm{O}(1,1+r; \mathbb{R})$ symmetry. We discuss some novel features of the solution for charged black holes.
title Heterotic Black Holes in Duality-Invariant Formalism
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
Mathematical Physics
url https://arxiv.org/abs/2511.21687