2026-06-29T08:01:14Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/243892023-08-05T21:44:01Zcom_20.500.14352_14col_20.500.14352_15

Mordell integrals and Giveon-Kutasov duality Giasemidis, Georgios Tierz, Miguel 512.643 Matrix Models Duality in Gauge Field Theories Supersymmetric gauge theory Chern-Simons Theories Análisis matemático 1202 Análisis y Análisis Funcional We solve, for finite N, the matrix model of supersymmetric U(N) Chern-Simons theory coupled to Nf massive hypermultiplets of R-charge ½, together with a Fayet-Iliopoulos term. We compute the partition function by identifying it with a determinant of a Hankel matrix, whose entries are parametric derivatives (of order Nf − 1) of Mordell integrals. We obtain finite Gauss sums expressions for the partition functions. We also apply these results to obtain an exhaustive test of Giveon-Kutasov (GK) duality in the N = 3 setting, by systematic computation of the matrix models involved. The phase factor that arises in the duality is then obtained explicitly. We give an expression characterized by modular arithmetic (mod 4) behavior that holds for all tested values of the parameters (checked up to Nf = 12 lavours) Ministerio de Economía y Competitividad (MINECO) Comunidad de Madrid Universidad Complutense de Madrid Universidade de Lisboa European CHIST-ERA project CQC Depto. de Análisis Matemático y Matemática Aplicada Fac. de Ciencias Matemáticas TRUE pub 2023-06-18T06:50:53Z 2023-06-18T06:50:53Z 2016 journal article https://hdl.handle.net/20.500.14352/24389 1126-6708 http://dx.doi.org.10.1007/JHEP01(2016)068 eng QUITEMAD+-CM (S2013/ICE-2801) (MTM2011-26912) IF/01767/2014 funded partially by MINECO grant PRI-PIMCHI-2011-1071 open access application/pdf application/pdf Int School Advanced Studies