Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Geometry of Supersymmetric Sigma-Models   We review non-linear sigma-models with (2,1) and (2,2) supersymmetry. We
focus on off-shell closure of the supersymmetry algebra and give a complete
list of (2,2) superfields. We provide evidence to support the conjecture that
all N=(2,2) non-linear sigma-models can be described by these fields. This in
its turn leads to interesting consequences about the geometry of the target
manifolds. One immediate corollary of this conjecture is the existence of a
potential for hyper-Kahler manifolds, different from the Kahler potential,
which does not only allow for the computation of the metric, but of the three
fundamental two-forms as well. Several examples are provided: WZW models on
SU(2) x U(1) and SU(2) x SU(2) and four-dimensional special hyper-Kahler
manifolds.

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The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
2
The categories of this paper are: math
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci