Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On non-abelian T-duality and deformations of supercoset string
  sigma-models   We elaborate on the class of deformed T-dual (DTD) models obtained by first
adding a topological term to the action of a supercoset sigma model and then
performing (non-abelian) T-duality on a subalgebra $\tilde{\mathfrak{g}}$ of
the superisometry algebra. These models inherit the classical integrability of
the parent one, and they include as special cases the so-called homogeneous
Yang-Baxter sigma models as well as their non-abelian T-duals. Many properties
of DTD models have simple algebraic interpretations. For example we show that
their (non-abelian) T-duals---including certain deformations---are again in the
same class, where $\tilde{\mathfrak{g}}$ gets enlarged or shrinks by adding or
removing generators corresponding to the dualised isometries. Moreover, we show
that Weyl invariance of these models is equivalent to $\tilde{\mathfrak{g}}$
being unimodular; when this property is not satisfied one can always remove one
generator to obtain a unimodular $\tilde{\mathfrak{g}}$, which is equivalent to
(formal) T-duality. We also work out the target space superfields and, as a
by-product, we prove the conjectured transformation law for Ramond-Ramond (RR)
fields under bosonic non-abelian T-duality of supercosets, generalising it to
cases involving also fermionic T-dualities.

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The categories of this paper are: math
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The categories of this paper are: q-alg
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The categories of this paper are: math-ph
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The categories of this paper are: supr-con
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The categories of this paper are: comp-gas
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The categories of this paper are: cond-mat
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The categories of this paper are: nlin
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The categories of this paper are: adap-org
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The categories of this paper are: plasm-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: quant-ph
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The categories of this paper are: econ
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The categories of this paper are: q-fin
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-th
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The categories of this paper are: gr-qc