Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Modular Bootstrap Revisited   We constrain the spectrum of two-dimensional unitary, compact conformal field
theories with central charge c > 1 using modular bootstrap. Upper bounds on the
gap in the dimension of primary operators of any spin, as well as in the
dimension of scalar primaries, are computed numerically as functions of the
central charge using semi-definite programming. Our bounds refine those of
Hellerman and Friedan-Keller, and are in some cases saturated by known CFTs. In
particular, we show that unitary CFTs with c < 8 must admit relevant
deformations, and that a nontrivial bound on the gap of scalar primaries exists
for c < 25. We also study bounds on the dimension gap in the presence of twist
gaps, bounds on the degeneracy of operators, and demonstrate how "extremal
spectra" which maximize the degeneracy at the gap can be determined
numerically.

22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom