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Anomalies and boundaries

Grant number: 23/11293-0
Support Opportunities:Scholarships in Brazil - Doctorate (Direct)
Effective date (Start): October 01, 2023
Effective date (End): 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)

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