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Giasemidis, Georgios and Tierz, Miguel (2016) Mordell integrals and GiveonKutasov duality. Journal of High Energy Physics, 68 (1). pp. 125. ISSN 11266708

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Official URL: http://link.springer.com/article/10.1007%2FJHEP01(2016)068
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Abstract
We solve, for finite N, the matrix model of supersymmetric U(N) ChernSimons theory coupled to Nf massive hypermultiplets of Rcharge ½, together with a FayetIliopoulos 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 GiveonKutasov (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)
Item Type:  Article 

Uncontrolled Keywords:  Matrix Models; Duality in Gauge Field Theories; Supersymmetric gauge theory; ChernSimons Theories 
Subjects:  Sciences > Mathematics > Mathematical analysis 
ID Code:  36441 
Deposited On:  01 Apr 2016 11:55 
Last Modified:  09 Aug 2016 10:14 
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