Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Supersymmetry and trace formulas I. Compact Lie groups   In the context of supersymmetric quantum mechanics we formulate new
supersymmetric localization principle, with application to trace formulas for a
full thermal partition function. Unlike the standard localization principle,
this new principle allows to compute the supertrace of non-supersymmetric
observables, and is based on the existence of fermionic zero modes. We describe
corresponding new invariant supersymmetric deformations of the path integral;
they differ from the standard deformations arising from the circle action and
require higher derivatives terms. Consequently, we prove that the path integral
localizes to the full set of periodic solutions of equations of motion and not
not only on constant ones. We illustrate the principle by deriving bosonic
trace formulas on compact Lie groups, including classical Jacobi inversion
formula.

23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph