A Path Integral Approach To Noncommutative Superspace
Iouri Chepelev, Calin Ciocarlie
TL;DR
This paper introduces a path integral method to derive the star-product in noncommutative superspace, generalizing existing formulas and exploring conditions for associativity and supersymmetry invariance.
Contribution
It presents a novel path integral formula for the star-product in noncommutative superspace, extending Kontsevich's approach to supersymmetric contexts.
Findings
Derived a path integral formula for the star-product in superspace.
Identified conditions for associativity and supersymmetry invariance.
Provided a simple formula for the star-product under supersymmetry constraints.
Abstract
A path integral formula for the associative star-product of two superfields is proposed. It is a generalization of the Kontsevich-Cattaneo-Felder's formula for the star-product of functions of bosonic coordinates. The associativity of the star-product imposes certain conditions on the background of our sigma model. For generic background the action is not supersymmetric. The supersymmetry invariance of the action constrains the background and leads to a simple formula for the star-product.
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.