On the classification of duality webs for graded quivers

Journal of High Energy Physics

Xingyang Yu¹  Azeem Hasan²  Sebastián Franco³ 

[1] Center for Cosmology and Particle Physics, New York University, 726 Broadway, 10003, New York, NY, USA;Dipartimento di Matematica e Fisica Ennio De Giorgi, Università del Salento & INFN, Via Arnesano, 73100, Lecce, Italy;Physics Department, The City College of the CUNY, 160 Convent Avenue, 10031, New York, NY, USA;Physics Program and Initiative for the Theoretical Sciences, The Graduate School and University Center, The City University of New York, 365 Fifth Avenue, 10016, New York, NY, USA;Initiative for the Theoretical Sciences, The Graduate School and University Center, The City University of New York, 365 Fifth Avenue, 10016, New York, NY, USA;

关键词: Brane Dynamics in Gauge Theories;    D-branes;    Duality in Gauge Field Theories;    Supersymmetry and Duality;   

DOI  :  10.1007/JHEP06(2020)130

来源: Springer

【 摘 要 】

We study the m-graded quiver theories associated to CY (m+2)-folds and their order (m + 1) dualities. We investigate how monodromies give rise to mutation invariants, which in turn can be formulated as Diophantine equations characterizing the space of dual theories associated to a given geometry. We discuss these ideas in general and illustrate them in the case of orbifold theories. Interestingly, we observe that even in this simple context the corresponding Diophantine equations may admit an infinite number of seeds for m ≥ 2, which translates into an infinite number of disconnected duality webs. Finally, we comment on the possible generalization of duality cascades beyond m = 1.

【 授权许可】

Unknown