Localization using the pure spinor formalism

• Grant number: 21/09003-9
• Support Opportunities: Scholarships abroad - Research Internship - Doctorate (Direct)
• Effective date (Start): February 01, 2022
• Effective date (End): July 31, 2022
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: Nathan Jacob Berkovits
• Grantee: Lucas Nogueira de Sá Martins
• Supervisor: Jaume Gomis Porqueras
• Host Institution: Instituto de Física Teórica (IFT). Universidade Estadual Paulista (UNESP). Campus de São Paulo. São Paulo , SP, Brazil
• Research place: Perimeter Institute for Theoretical Physics, Canada
• Associated to the scholarship: 18/07834-8 - The twistor superstring, BP.DD

Abstract

Supersymmetric localization was used to perform an exact computation of the expectation value of circular supersymmetric Wilson loops in N = 4 d = 4 Super Yang Mills. This expectation value was conjectured to be related to the superstring partition function on AdS_5xSÆ5. The pure spinor formalism gives a quantizable action on AdS_5xSÆ5 and the project proposal is to use supersymmetric localization in the pure spinor formalism to compute the superstring partition function and test the conjecture. (AU)