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Deformations of AdS and exact sequences

Full text
Author(s):
Mikhailov, Andrei
Total Authors: 1
Document type: Journal article
Source: Journal of High Energy Physics; v. N/A, n. 6, p. 24-pg., 2025-06-05.
Abstract

We give examples of cohomologies of the superconformal algebra, relevant to computations in the AdS supergravity. Our main examples are deformations of AdS5 x S5 transforming in finite-dimensional representations of the superconformal algebra at the linearized level. In the study of correlation functions, it is important to compute the resolution of BRST-exact products of vertex operators. The resolution is typically non-covariant, because of cohomological obstacles. Using the pure spinor formalism, we develop a framework to describe these obstacles, and formulate conjectures about their structure. (AU)

FAPESP's process: 19/21281-4 - Gauge / gravity duality
Grantee:Horatiu Stefan Nastase
Support Opportunities: Research Projects - Thematic Grants
FAPESP's process: 21/14335-0 - ICTP South American Institute for Fundamental Research: a regional center for Theoretical Physics
Grantee:Nathan Jacob Berkovits
Support Opportunities: Special Projects