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arXiv · 2412.14455

Deformations of AdS and exact sequences

Andrei Mikhailov
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Abstract

We give examples of cohomologies of the superconformal algebra, relevant to computations in the AdS supergravity. Our main examples are deformations of $AdS_5\times S^5$ 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.

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Andrei Mikhailov. 2025-10-26. Deformations of AdS and exact sequences. https://arxiv.org/abs/2412.14455

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