Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gauge transformations of spectral triples with twisted real structures   Twisted real structures are well-motivated as a way to implement the
conformal transformation of a Dirac operator for a real spectral triple without
needing to twist the noncommutative 1-forms. We study the coupling of spectral
triples with twisted real structures to gauge fields, adopting Morita
equivalence via modules and bimodules as a guiding principle and paying special
attention to modifications to the inner fluctuations of the Dirac operator. In
particular, we analyse the twisted first-order condition as a possible
alternative to abandoning the first-order condition in order to go beyond the
Standard Model, and elaborate upon the special case of gauge transformations
accordingly. Applying the formalism to a toy model, we argue that under certain
physically-motivated assumptions the spectral triple based on the left-right
symmetric algebra should reduce to that of the Standard Model of fundamental
particles and interactions, as in the untwisted case.

5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an