Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Schwinger-Keldysh superspace in quantum mechanics   We examine, in a quantum mechanical setting, the Hilbert space representation
of the BRST symmetry associated with Schwinger-Keldysh path integrals. This
structure had been postulated to encode important constraints on influence
functionals in coarse-grained systems with dissipation, or in open quantum
systems. Operationally, this entails uplifting the standard Schwinger-Keldysh
two-copy formalism into superspace by appending BRST ghost degrees of freedom.
These statements were previously argued at the level of the correlation
functions. We provide herein a complementary perspective by working out the
Hilbert space structure explicitly. Our analysis clarifies two crucial issues
not evident in earlier works: firstly, certain background ghost insertions
necessary to reproduce the correct Schwinger-Keldysh correlators arise
naturally. Secondly, the Schwinger-Keldysh difference operators are
systematically dressed by the ghost bilinears, which turn out to be necessary
to give rise to a consistent operator algebra. We also elaborate on the
structure of the final state (which is BRST closed) and the future boundary
condition of the ghost fields.

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The categories of this paper are: hep-ph
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn