23 research outputs found
Monopole Operators in Chern-Simons-Matter Theories
We study monopole operators at the infrared fixed points of
Chern-Simons-matter theories (QED, scalar QED, SQED,
and SQED) with matter flavors and Chern-Simons level
. We work in the limit where both and are taken to be large with
fixed. In this limit, we extract information about the low-lying
spectrum of monopole operators from evaluating the partition
function in the sector where the is threaded by magnetic flux .
At leading order in , we find a large number of monopole operators with
equal scaling dimensions and a wide range of spins and flavor symmetry
irreducible representations. In two simple cases, we deduce how the degeneracy
in the scaling dimensions is broken by the corrections. For QED at
, we provide conformal bootstrap evidence that this near-degeneracy
is in fact maintained to small values of . For SQED, we
find that the lowest dimension monopole operator is generically non-BPS.Comment: 52 pages plus appendices, 9 figures, v2: minor correction
Bootstrapping Vector Models with Four Supercharges in
We analyze the conformal bootstrap constraints in theories with four
supercharges and a global flavor symmetry in dimensions. In particular, we consider the 4-point function of
-fundamental chiral operators that have no chiral primary in the
-singlet sector of their OPE. We find features in our numerical bounds
that nearly coincide with the theory of chiral super-fields with
superpotential , as well as general bounds on SCFTs
where vanishes in the chiral ring.Comment: 25 pages, 8 figure
The volume of the black hole interior at late times
Understanding the fate of semi-classical black hole solutions at very late times is one of the most important open questions in quantum gravity. In this paper, we provide a path integral definition of the volume of the black hole interior and study it at arbitrarily late times for black holes in various models of two-dimensional gravity. Because of a novel universal cancellation between the contributions of the semi-classical black hole spectrum and some of its non-perturbative corrections, we find that, after a linear growth at early times, the length of the interior saturates at a time, and towards a value, that is exponentially large in the entropy of the black hole. This provides a non-perturbative test of the complexity equals volume proposal since complexity is also expected to plateau at the same value and at the same time
Constructing all BPS black hole microstates from the gravitational path integral
Understanding how to prepare and count black hole micro-states by using the
gravitational path integral is one of the most important problems in quantum
gravity. Nevertheless, a state-by-state count of black hole microstates is
difficult because the apparent number of degrees of freedom available in the
gravitational effective theory can vastly exceed the entropy of the black hole,
even in the special case of BPS black holes. In this paper, we show that we can
use the gravitational path integral to prepare a basis for the Hilbert space of
all BPS black hole microstates. We find that the dimension of this Hilbert
space computed by an explicit state count is in complete agreement with the
degeneracy obtained from the Gibbons-Hawking prescription. Specifically, this
match includes all non-perturbative corrections in . Such corrections
are, in turn, necessary in order for this degeneracy of BPS states to match the
non-perturbative terms in the expansion in the string theory count of
such microstates.Comment: 39 pages with appendice