A Rigorous Construction of the Supersymmetric Path Integral Associated to a Compact Spin Manifold
Sign Up to like & getrecommendations! Published in 2022 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-022-04336-7
Abstract: We give a rigorous construction of the path integral in $${\mathcal {N}}=1/2$$ N = 1 / 2 supersymmetry as an integral map for differential forms on the loop space of a compact spin manifold. It… read more here.
Keywords: rigorous construction; compact spin; supersymmetric path; spin manifold ... See more keywords
Solutions of Dirac equations on compact spin manifolds via saddle point reduction
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Fixed Point Theory and Applications"
DOI: 10.1007/s11784-016-0350-8
Abstract: In this note, we apply the saddle point reduction to a class of nonlinear Dirac equation with a potential on a compact spin manifold. Two results are obtained, including a multiple theorem. read more here.
Keywords: point reduction; saddle point; solutions dirac; point ... See more keywords