2 research outputs found
The Stranger Things of Symmetric Product Orbifold CFTs
Symmetric product orbifold theories are valuable due to their universal
features at large . Here we will demonstrate that they have features that
are not as pervasive: we provide evidence of strange behaviour under
deformations within their moduli space. To this end, we consider the symmetric
product orbifold of tensor products of super-Virasoro minimal
models, and classify them according to two criteria. The first criterion is the
existence of a single-trace twisted exactly marginal operator that triggers the
deformation. The second criterion is a sparseness condition on the growth of
light states in the elliptic genera. In this context we encounter a strange
variety: theories that obey the first criterion but the second criterion falls
into a Hagedorn-like growth. We explain why this may be counter-intuitive and
discuss how it might be accounted for in conformal perturbation theory. We also
find a new infinite class of theories that obey both criteria, which are
necessary conditions for each moduli space to contain a supergravity point.Comment: 34 pages, 3 figure