4,234 research outputs found
A master bosonization duality
We conjecture a new sequence of dualities between Chern-Simons gauge theories
simultaneously coupled to fundamental bosons and fermions. These dualities
reduce to those proposed by Aharony when the number of bosons or fermions is
zero. Our conjecture passes a number of consistency checks. These include the
matching of global symmetries and consistency with level/rank duality in
massive phases.Comment: 29 pages, 2 figures; v2: minor improvements; v3: typos fixe
Anomalies for Galilean fields
We initiate a systematic study of `t Hooft anomalies in Galilean field
theories, focusing on two questions therein. In the first, we consider the
non-relativistic theories obtained from a discrete light-cone quantization
(DLCQ) of a relativistic theory with flavor or gravitational anomalies. We find
that these anomalies survive the DLCQ, becoming mixed flavor/boost or
gravitational/boost anomalies. We also classify the pure Weyl anomalies of
Schr\"odinger theories, which are Galilean conformal field theories (CFTs) with
. There are no pure Weyl anomalies in even spacetime dimension, and the
lowest-derivative anomalies in odd dimension are in one-to-one correspondence
with those of a relativistic CFT in one dimension higher. These results
classify many of the anomalies that arise in the field theories dual to string
theory on Schr\"odinger spacetimes.Comment: 22 pages, 1 figure; v2: Added some comment
Aspects of hot Galilean field theory
We reconsider general aspects of Galilean-invariant thermal field theory.
Using the proposal of our companion paper, we recast non-relativistic
hydrodynamics in a manifestly covariant way and couple it to a background
spacetime. We examine the concomitant consequences for the thermal partition
functions of Galilean theories on a time-independent, but weakly curved
background. We work out both the hydrodynamics and partition functions in
detail for the example of parity-violating normal fluids in two dimensions to
first order in the gradient expansion, finding results that differ from those
previously reported in the literature. As for relativistic field theories, the
equality-type constraints imposed by the existence of an entropy current appear
to be in one-to-one correspondence with those arising from the existence of a
hydrostatic partition function. Along the way, we obtain a number of useful
results about non-relativistic hydrodynamics, including a manifestly
boost-invariant presentation thereof, simplified Ward identities, the
systematics of redefinitions of the fluid variables, and the positivity of
entropy production.Comment: 65 pages, 1 figur
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