Pure Spinor String and Generalized Geometry

2019/06/13 by Dennis Zavaleta, Zavaleta, Dennis
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph) #Noncommutative and Quantum Gravity Theories

paper · pdf · doi:10.48550/arxiv.1906.05784

openalex publication_date 2019/06/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the pure spinor sigma model in an arbitrary curved background. The use of Hamiltonian formalism allows for a uniform description of the worldsheet fields where matter and ghosts enter the action on the same footing. This approach naturally leads to the language of generalized geometry. In fact, to handle the pure spinor case, we need an extension of generalized geometry. In this paper, we describe such an extension. We investigate the conditions for existence of nilpotent holomorphic symmetries. In the case of the pure spinor string in curved background, we translate the existing computations into this new language and recover previously known results.

Citations

• Generalized Complex Geometry
• Generalizing Geometry - Algebroids and Sigma Models

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