Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Supersymmetry of the Chiral de Rham Complex   We present a superfield formulation of the chiral de Rham complex (CDR) of
Malikov-Schechtman-Vaintrob in the setting of a general smooth manifold, and
use it to endow CDR with superconformal structures of geometric origin. Given a
Riemannian metric, we construct an N=1 structure on CDR (action of the N=1
super--Virasoro, or Neveu--Schwarz, algebra). If the metric is K"ahler, and the
manifold Ricci-flat, this is augmented to an N=2 structure. Finally, if the
manifold is hyperk"ahler, we obtain an N=4 structure. The superconformal
structures are constructed directly from the Levi-Civita connection. These
structures provide an analog for CDR of the extended supersymmetries of
nonlinear sigma-models.

7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs