Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $c = r_g$ Theories of $W_G$-Gravity: The Set of Observables as a Model
  of Simply Laced $G$   We propose to study a generalization of the Klebanov-Polyakov-Witten (KPW)
construction for the algebra of observables in the $c = 1$ string model to
theories with $c > 1$. We emphasize the algebraic meaning of the KPW
construction for $c = 1$ related to occurrence of a {\it model} of {\it SU}(2)
as original structure on the algebra of observables. The attempts to preserve
this structure in generalizations naturally leads to consideration of
$W$-gravities. As a first step in the study of these generalized KPW
constructions we design explicitly the subsector of the space of observables in
appropriate $W_G$-string theory, which forms the {\it model} of $G$ for any
simply laced {\it G}. The {\it model} structure is confirmed by the fact that
corresponding one-loop Kac-Rocha-Caridi $W_G$-characters for $c = r_G$ sum into
a chiral (open string) $k=1$ $G$-WZW partition function.

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The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
2
The categories of this paper are: math
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom