Construction of the Extended Supersymmetry Theory via Semi-Hopf Algebra
Bobby Eka Gunara
TL;DR
This paper develops an extended supersymmetry algebra using semi-Hopf algebra structures, enabling the construction of supersymmetry theories with quantum gauge groups, exemplified by N=1 and N=2 theories related to Seiberg-Witten theory.
Contribution
It introduces a novel algebraic framework for supersymmetry using semi-Hopf algebras, extending the mathematical foundation of supersymmetric theories with quantum gauge groups.
Findings
Constructed N=1 and generalized N=2 supersymmetry theories
Connected the algebraic framework to Seiberg-Witten theory
Extended supersymmetry algebra beyond traditional Hopf algebra structures
Abstract
We construct the general supersymmetry algebra via the adjoint action on a semi-Hopf algebra which has a more general structure than a Hopf algebra. As a result we have an extended supersymmetry theory with quantum gauge group, i.e., quantised enveloping algebra of a simple Lie algebra. For the example, we construct the N=1 and generalized N=2 supersymmetry theory which leads to the Seiberg-Witten theory.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Black Holes and Theoretical Physics