Mode Regularization for N=1,2 SUSY Sigma Model

Details Mode Regularization for N=1,2 SUSY Sigma Model Mode Regularization for N=1,2 SUSY Sigma Model

2008-07-14

arxiv.org/abs/0807.2276v2

JHEP0810:019,2008

Physics

High Energy Physics

High Energy Physics - Theory

15 pages

Scientific paper

10.1088/1126-6708/2008/10/019

Worldline N=1 and N=2 supersymmetric sigma models in curved background are useful to describe spin one-half and spin one particles coupled to external gravity, respectively. It is well known that worldline path integrals in curved space require regularization: we present here the mode-regularization for these models, finding in particular the corresponding counterterms, both in the case of flat and curved indices for worldline fermions. For N=1, using curved indices we find a contribution to the counterterm from the fermions that cancels the contribution of the bosons, leading to a vanishing total counterterm and thus preserving the covariance and supersymmetry of the classical action. Conversely in the case of N=2 supersymmetries we obtain a non-covariant counterterm with both curved and flat indices. This work completes the analysis of the known regularization schemes for N=1,2 nonlinear sigma models in one dimension.

Affiliated with

Also associated with

No associations

Rating

Mode Regularization for N=1,2 SUSY Sigma Model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Mode Regularization for N=1,2 SUSY Sigma Model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Mode Regularization for N=1,2 SUSY Sigma Model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-595577