New directions in bipartite field theories

Franco, Sebastian; Galloni, Daniele; Seong, Rak-Kyeong

doi:10.1007/jhep06(2013)032

New directions in bipartite field theories

Franco, Sebastian; Galloni, Daniele; Seong, Rak-Kyeong

Authors

Sebastian Franco

Daniele Galloni

Rak-Kyeong Seong

Abstract

We perform a detailed investigation of Bipartite Field Theories (BFTs), a general class of 4d N = 1 gauge theories which are defined by bipartite graphs. This class of theories is considerably expanded by identifying a new way of assigning gauge symmetries to graphs. A new procedure is introduced in order to determine the toric Calabi-Yau moduli spaces of BFTs. For graphs on a disk, we show that the matroid polytope for the corresponding cell in the Grassmannian coincides with the toric diagram of the BFT moduli space. A systematic BFT prescription for determining graph reductions is presented. We illustrate our ideas in infinite classes of BFTs and introduce various operations for generating new theories from existing ones. Particular emphasis is given to theories associated to non-planar graphs.

Citation

Franco, S., Galloni, D., & Seong, R. (2013). New directions in bipartite field theories. Journal of High Energy Physics, 2013(6), Article 32. https://doi.org/10.1007/jhep06%282013%29032

Journal Article Type	Article
Publication Date	Jun 10, 2013
Deposit Date	Jan 27, 2014
Publicly Available Date	Feb 4, 2014
Journal	Journal of High Energy Physics
Print ISSN	1126-6708
Publisher	Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed	Peer Reviewed
Volume	2013
Issue	6
Article Number	32
DOI	https://doi.org/10.1007/jhep06%282013%29032
Keywords	Supersymmetric gauge theory, Supersymmetry and duality.