2022/03/31 by Bruno Balthazar, Balthazar, Bruno, Jinwei Chu +3 · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Particle physics theoretical and experimental studies
paper · pdf · doi:10.48550/arxiv.2204.00012
We study string theory on ℝd× \mathbbS1. For applications to thermodynamics, the circumference of the \mathbbS1 is the inverse temperature, β. We show that for d=6, the low energy effective field theory at the inverse Hagedorn temperature, β=βH, has a one parameter family of normalizable spherically symmetric solutions that break the winding symmetry around the \mathbbS1. The resulting backgrounds exhibit an enhanced symmetry, with the symmetry breaking pattern SU(2)L× SU(2)R→ SU(2)\rm diagonal. The effective field theory analysis of these backgrounds is reliable for some range of parameters. More generally, they are described by a worldsheet CFT, which corresponds to the free theory on ℝ6× \mathbbS1 perturbed by a non-abelian Thirring deformation with an r-dependent coupling. We propose that, in a certain scaling limit, string theory in these backgrounds is described by the SL(2,ℝ)/U(1) cigar, and provides a thermodynamic description of weakly coupled highly excited fundamental strings. We also discuss the relation of these backgrounds to Euclidean black holes with near-Hagedorn Hawking temperature, and possible generalizations to other d.