66 citations · 165 across the 7 of their papers we have counts for
7 papers
Flag manifold sigma models: spin chains and integrable theories
Ian Affleck, Dmitri Bykov, Kyle Wamer
This review is dedicated to two-dimensional sigma models with flag manifold target spaces, which are generalizations of the familiar and Grassmannian models. They natura…
Flag manifold sigma models from SU() chains
Kyle Wamer, Ian Affleck
One dimensional SU() chains with the same irreducible representation at each site are considered. We determine which admit low-energy mappings to a $…
Mass generation by fractional instantons in SU() chains
Kyle Wamer, Ian Affleck
Recently, Haldane's conjecture about SU(2) chains has been generalized to SU() chains in the symmetric representations. For a rank- representation, a gapless phase is predict…
Generalization of the Haldane conjecture to SU() chains
Kyle Wamer, Miklós Lajkó, Frédéric Mila +1
Recently, SU(3) chains in the symmetric and self-conjugate representations have been studied using field theory techniques. For certain representations, namely rank- symmetric o…
Self-conjugate representation SU(3) chains
Kyle Wamer, Francisco H. Kim, Miklós Lajkó +2
It was recently argued that SU(3) chains in the -box symmetric irreducible representation (irrep) exhibit a "Haldane gap" when is a multiple of 3 and are otherwise gapless […
Renormalization group analysis of phase transitions in the two dimensional Majorana-Hubbard model
Kyle Wamer, Ian Affleck
A lattice of interacting Majorana modes can occur in a superconducting film on a topological insulator in a magnetic field. The phase diagram as a function of interaction strength…