We initiate the study of applications of machine learning to Seiberg duality, focusing on the
case of quiver gauge theories, a problem also of interest in mathematics in the context of …

Conway's topographic approach to binary quadratic forms and Markov triples is reviewed
from the point of view of the theory of two-valued groups. This leads naturally to a new class …

With a bird's-eye view, we survey the landscape of Calabi–Yau threefolds, compact and
noncompact, smooth and singular. Emphasis will be placed on the algorithms and …

A bstract Reflexive polygons have been extensively studied in a variety of contexts in
mathematics and physics. We generalize this programme by looking at the 45 different …

A bstract 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 …

Изучение значений бинарных квадратичных форм–классическая тема, восходящая к
Лежандру и Гауссу. Вопрос о числах N, которые можно представить в виде суммы …

We study Ihara's zeta function for graphs in the context of quivers arising from gauge
theories, especially under Seiberg duality transformations. The distribution of poles is …

A bstract We investigate the vacuum moduli space of supersymmetric gauge theories en
masse by probing the space of such vacua from a statistical standpoint. Using quiver gauge …

We discuss some recent study on quiver gauge theories in the setting of toric geometry. After
mentioning some basic geometric and topological properties, we consider some …

Reflexive polygons have been extensively studied in a variety of contexts in mathematics
and physics. We generalize this programme by looking at the 45 different lattice polygons …