17 research outputs found
Strong-Weak Chern-Simons-Matter Dualities from a Lattice Construction
We provide a lattice demonstration of -dimensional field theory
dualities relating free Dirac or Majorana fermions to strongly-interacting
bosonic Chern-Simons-matter theories. Specifically, we prove the recent
conjecture that level-1 with gauged complex Wilson-Fisher scalars
(where ) is dual to Dirac fermions, as well as the
analogous conjecture relating theories with real Wilson-Fisher scalars
to Majorana fermions for . Furthermore, we discover new
dualities that allow us to explain the interesting phase structure of the
theories with and scalars, for all .Comment: 35 pages. v2: updated a citation. v3: minor correctio
No more walls! A tale of modularity, symmetry, and wall crossing for 1/4 BPS dyons
Abstract We determine the generating functions of 1/4 BPS dyons in a class of 4d N = 4 string vacua arising as CHL orbifolds of K3 × T 2, a classification of which has been recently completed. We show that all such generating functions obey some simple physical consistency conditions that are very often sufficient to fix them uniquely. The main constraint we impose is the absence of unphysical walls of marginal stability: discontinuities of 1/4 BPS degeneracies can only occur when 1/4 BPS dyons decay into pairs of 1/2 BPS states. Formally, these generating functions in spacetime can be described as multiplicative lifts of certain supersymmetric indices (twining genera) on the worldsheet of the corresponding nonlinear sigma model on K3. As a consequence, our procedure also leads to an explicit derivation of almost all of these twining genera. The worldsheet indices singled out in this way match precisely a set of functions of interest in moonshine, as predicted by a recent conjecture
Heterotic sigma models on and the Borcherds automorphic form
We consider the spectrum of BPS states of the heterotic sigma model with
supersymmetry and target, as well as its second-quantized
counterpart. We show that the counting function for such states is intimately
related to Borcherds' automorphic form , a modular form which
exhibits automorphy for . We comment on possible
implications for Umbral moonshine and theories of AdS gravity.Comment: 12 pages; v2 error (involving fermion zero modes) correcte