RT Journal Article
T1 Mordell integrals and Giveon-Kutasov duality
A1 Giasemidis, Georgios
A1 Tierz, Miguel
AB 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)
PB Int School Advanced Studies
SN 1126-6708
YR 2016
FD 2016
LK https://hdl.handle.net/20.500.14352/24389
UL https://hdl.handle.net/20.500.14352/24389
LA eng
NO Ministerio de Economía y Competitividad (MINECO)
NO Comunidad de Madrid
NO Universidad Complutense de Madrid
NO Universidade de Lisboa
NO European CHIST-ERA project CQC
DS Docta Complutense
RD 11 abr 2025