Work

B-RNS-GSS formalism and $L_{\infty}$-actions

Year: 2025

Type: preprint

Abstract: Pure spinor formalism and RNS formalism are related by a chain of equivalences constructed by introducing and integrating-out BRST quartets. This is known as B-RNS-GSS formalism. The first step is to add BRST quartets to the RNS model and do a similarity transformation on the space of fields. We show that this step can be understood as a strictification procedure which lifts a strong homotopy action of the supersymmetry algebra to a quasiisomorphic strict action. This observation allows us to clarify the details of the B-RNS-GSS derivation. We obtain a closed formula for the similarity transformation as a path-ordered exponential, and derive the supersymmetric currents.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2510.10400

Author: Mikhailov, Andrei

Institution: Universidade Estadual Paulista (Unesp)

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: Fundação de Amparo à Pesquisa do Estado de São Paulo, Conselho Nacional de Desenvolvimento Científico e Tecnológico

Awards: G2065082359, G295657101, G3715850193, G4121496537, Gauge / gravity duality, ICTP South American Institute for Fundamental Research: a regional center for Theoretical Physics, G6438247056

OpenAlex ID: W4417100274

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