タイトル

Duality Cascades and Parallelotopes

 

アブストラクト

Duality cascades are a series of duality transformations in field theories, which can be realized as the Hanany-Witten transitions in brane configurations on a circle. Parallelotopes are polygons that can tile the whole space by translations. In the setup of the ABJM theory and its generalizations, from the physical requirement that duality cascades always end and the final destination depends only on the initial brane configuration, we propose that the fundamental domain of supersymmetric brane configurations in duality cascades is a parallelotope. In this talk I will explain the proposal and further applications of it.