Effective gravitational couplings of higher-rank supersymmetric gauge theories

When placed on four-manifolds, N = 2 gauge theories couple to topological invariants of the background via two functions A and B. General considerations allow for these functions to be fixed in terms of the Coulomb moduli and other parameters in the theory, but only up to multiplicative factors abou...

ver descrição completa

Detalhes bibliográficos
Autores: John, Renjan Rajan, Mahato, Sujoy, Raman, Madhusudhan [UNESP]
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:2022
País:Brasil
Recursos:Universidade Estadual Paulista (UNESP)
Repositório:Repositório Institucional da UNESP
Idioma:inglês
OAI Identifier:oai:repositorio.unesp.br:11449/247701
Acesso em linha:http://dx.doi.org/10.1007/JHEP09(2022)221
http://hdl.handle.net/11449/247701
Access Level:Acceso aberto
Palavra-chave:Extended Supersymmetry
Nonperturbative Effects
Supersymmetric Gauge Theory
Descrição
Resumo:When placed on four-manifolds, N = 2 gauge theories couple to topological invariants of the background via two functions A and B. General considerations allow for these functions to be fixed in terms of the Coulomb moduli and other parameters in the theory, but only up to multiplicative factors about which little is known. We extend earlier work on the microscopic study of these functions in the Ω-background to N = 2* gauge theories with higher-rank U(N) gauge groups. We complement this analysis by carrying out a perturbative study of these functions. This allows us to determine the manner in which these multiplicative factors scale with the rank of the gauge group and the mass of the adjoint hypermultiplet.