Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the renormalization of higher derivative two dimensional gravity.   The fourth derivative models for two dimensional gravity are shown to be
equivalent to the special version of the nonlinear sigma models coupled to 2d
quantum gravity. The reduction consists in the introduction of the auxiliary
scalar fields and can be performed in an explicit way for both metric and
general metric-dilaton cases. In view of this we can evaluate the structure of
possible counterterms and show that they contains second derivative structures
only. The calculations in the theory with an auxiliary fields require some
special procedure to be applied. We perform the explicit calculations in a
different gauges and explore the features of the auxiliary fields.

13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th