TT¯ + Λ2 from a 2d gravity path integral

• Autores: Torroba, Gonzalo
• Año de publicación: 2023
• Idioma: inglés
• Tipo de recurso: artículo
• Materia: DE SITTER SPACE; GAUGE-GRAVITY CORRESPONDENCE; MODELS OF QUANTUM GRAVITY
• Institución: Consejo Nacional de Investigaciones Científicas y Técnicas

We develop a two-dimensional gravity path integral formulation of the TT¯ + Λ2 deformation of quantum field theory. This provides an exactly solvable generalization of the pure TT¯ deformation that is relevant for de Sitter and flat space holography. The path integral sheds light on quantum aspects of these flows in curved space, most notably the Weyl anomaly, the operator relation for the trace of the energy-momentum tensor, and the renormalization of the composite TT¯ operator. It also applies to both the Hagedorn and the holographic signs of such flows. We present explicit calculations for the torus and sphere partition functions that reproduce previous results in the literature, now in path integral language. Finally, we use the path integral representation in order to establish an explicit map with 3d gravity, and obtain new predictions for flat space holography.
Fil: Torroba, Gonzalo. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro. Archivo Histórico del Centro Atómico Bariloche e Instituto Balseiro | Universidad Nacional de Cuyo. Instituto Balseiro. Archivo Histórico del Centro Atómico Bariloche e Instituto Balseiro; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina