T, Q and periods in SU(3) N $$ \mathcal{N} $$ = 2 SYM

Journal of High Energy Physics

Davide Fioravanti¹  Hasmik Poghosyan¹  Rubik Poghossian² 

[1] INFN — Sezione di Bologna and Dipartimento di Fisica e Astronomia, Università di Bologna;Yerevan Physics Institute;

关键词: Conformal and W Symmetry;    Nonperturbative Effects;    Supersymmetric Gauge Theory;    Supersymmetry and Duality;   

DOI  :  10.1007/JHEP03(2020)049

来源: DOAJ

【 摘 要 】

Abstract We consider the third order differential equation derived from the deformed Seiberg-Witten differential for pure N $$ \mathcal{N} $$ = 2 SYM with gauge group SU(3) in Nekrasov- Shatashvili limit of Ω-background. We show that this is the same differential equation that emerges in the context of Ordinary Differential Equation/Integrable Models (ODE/IM) correspondence for 2d A 2 Toda CFT with central charge c = 98. We derive the corresponding QQ and related T Q functional relations and establish the asymptotic behaviour of Q and T functions at small instanton parameter q → 0. Moreover, numerical integration of the Floquet monodromy matrix of the differential equation leads to evaluation of the A-cycles a 1,2,3 at any point of the moduli space of vacua parametrized by the vector multiplet scalar VEVs ( tr

【 授权许可】

Unknown