Conformal boundary anomalies and holography on Anti de Sitter space and spheres.

Abstract

Superstring theory in anti de Sitter space is dual to superconformal field theories, that is, to field theories invariant under scale symmetries and supersymmetries. In the last 20 years, this AdS/CFT duality has led to multiple applications, including classical and quantum gravitational physics, condensed matter, integrability and several aspects of superstring theory, representing the main trending topic in theoretical physics. This master thesis will study conformal field theories in spaces which are direct product of anti de sitter spaces and spheres, with the aim of understanding boundary anomalies and their AdS/CFT counterpart.

Advisors
Jorge Russo
References

Free energy and boundary anomalies on S^a x H^b spaces
D.Rodriguez-Gomez and J.G. Russo,
JHEP 1710 (2017) 084 [arXiv:1708.00305 [hep-th]].

Boundary Conformal Anomalies on Hyperbolic Spaces and Euclidean Balls
D.Rodriguez-Gomez and J.G. Russo,
JHEP 1712 (2017) 066
[arXiv:1710.09327 [hep-th]].