Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Twisted sigma-model solitons on the quantum projective line   On the configuration space of projections in a noncommutative algebra, and
for an automorphism of the algebra, we use a twisted Hochschild cocycle for an
action functional, and a twisted cyclic cocycle for a topological term. The
latter is Hochschild-cohomologous to the former and positivity in twisted
Hochschild cohomology results into a lower bound for the action functional.
While the equations for the critical points are rather complicate, the use of
the positivity and the bound by the topological term leads to self-duality
equations (thus yielding twisted noncommutative sigma-model solitons, or
instantons). We present explicit non trivial solutions on the quantum
projective line.

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The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
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The categories of this paper are: gr-qc
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys