Studies with D=5 Holomorphic Chern-Simons

• Grant number: 23/01941-5
• Support Opportunities: Scholarships in Brazil - Master
• Start date: August 01, 2023
• End date: July 31, 2025
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: Nathan Jacob Berkovits
• Grantee: Juan Dennis Tejeira Huacani
• Host Institution: Instituto de Física Teórica (IFT). Universidade Estadual Paulista (UNESP). Campus de São Paulo. São Paulo , SP, Brazil
• Associated research grant: 21/14335-0 - ICTP South American Institute for Fundamental Research: a regional center for Theoretical Physics, AP.ESP

Abstract

It was recently shown that the D=5 holomorphic Chern-Simons formalism acts as a bridge between the Neveu-Schwarz-Ramond formalism and the pure spinor formalism for the superstring. The D=5 holomorphic Chern-Simons formalism has SU(5) invariance, and the pure spinor formalism can be understood as a covariantization of the holomorphic Chern-Simons formalism where the pure spinors parameterize the ways to break the SO(10) group to the SU(5) subgroup. The student will try to use the holomorphic Chern-Simons formalism to prove the equivalence of the Neveu-Schwarz-Ramond and pure spinor formalisms of the superstring.