Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Path-Integral Complexity for Perturbed CFTs   In this work, we formulate a path-integral optimization for two dimensional
conformal field theories perturbed by relevant operators. We present several
evidences how this optimization mechanism works, based on calculations in free
field theories as well as general arguments of RG flows in field theories. Our
optimization is performed by minimizing the path-integral complexity functional
that depends on the metric and also on the relevant couplings. Then, we compute
the optimal metric perturbatively and find that it agrees with the time slice
of the hyperbolic metric perturbed by a scalar field in the AdS/CFT
correspondence. Last but not the least, we estimate contributions to complexity
from relevant perturbations.

37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th