2024/03/06 by Soumangsu Chakraborty, Chakraborty, Soumangsu, Amit Giveon +3 · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.2403.03979
openalex publication_date 2024/03/06 · openalex created_date 2024/07/18 · openalex updated_date 2026/08/01
We derive a compact formula for the one-loop, bosonic string partition function of Euclideanized J3 J3 deformed AdS3 with periodic Euclidean time as an integral transform of the partition function of the undeformed Euclideanized AdS3. Such a deformation is interpretable as an irrelevant "single-trace T T deformation" of the boundary. We will do this by first establishing a formal procedure to compute a worldsheet torus zero point function for an exactly marginal J J deformation of a sigma model with U(1)L × U(1)R global symmetry. We then describe how this procedure is implemented on SL(2,R) sigma model and its Euclidean continuation. Finally, we describe the embedding of the deformed SL(2,R) torus amplitude into critical string theory and interpret the result as the leading perturbative contribution to the thermal partition function of the deformed theory.