Anomalies and boundaries

• Grant number: 23/11293-0
• Support Opportunities: Scholarships in Brazil - Doctorate (Direct)
• Start date: October 01, 2023
• End date: May 31, 2027
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: Dmitry Vasilevich
• Grantee: Lucas de Souza
• Host Institution: Centro de Matemática, Computação e Cognição (CMCC). Universidade Federal do ABC (UFABC). Ministério da Educação (Brasil). Santo André , SP, Brazil
• Associated research grant: 21/10128-0 - Quantum field theory under the influence of external conditions, AP.TEM

Abstract

The main purpose of this project is to obtain relations between anomalies on manifolds with boundaries and anomalies in effective boundary theories with the use of heat kernel methods. The applications include the Jackiw--Rebbi fermion number fractionization, topological phases of quantum matter, and boundary anomalies in holographic theories. (AU)