Kyle Wamer
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View article: Flag manifold sigma models: spin chains and integrable theories
Flag manifold sigma models: spin chains and integrable theories Open
This review is dedicated to two-dimensional sigma models with flag manifold target spaces, which are generalizations of the familiar $CP^{n-1}$ and Grassmannian models. They naturally arise in the description of continuum limits of spin ch…
View article: Flag manifold sigma models from SU(n) chains
Flag manifold sigma models from SU(n) chains Open
One dimensional SU(n) chains with the same irreducible representation R at each site are considered. We determine which R admit low-energy mappings to a SU(n)/[U(1)]n−1 flag manifold sigma model, and calculate the topological angles for su…
View article: Mass generation by fractional instantons in SU(<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>n</mml:mi></mml:math>) chains
Mass generation by fractional instantons in SU() chains Open
Recently, Haldane's conjecture about SU(2) chains has been generalized to SU($n$) chains in the symmetric representations. For a rank-$p$ representation, a gapless phase is predicted when $p$ and $n$ are coprime; otherwise, a finite energy…
View article: Self-conjugate representation SU(3) chains
Self-conjugate representation SU(3) chains Open
It was recently argued that SU(3) chains in the $p$-box symmetric irreducible\nrepresentation (irrep) exhibit a "Haldane gap" when $p$ is a multiple of 3 and\nare otherwise gapless [Nucl. Phys. B $\\boldsymbol{924}$, 508 (2017)]. We extend…
View article: Renormalization group analysis of phase transitions in the two-dimensional Majorana-Hubbard model
Renormalization group analysis of phase transitions in the two-dimensional Majorana-Hubbard model Open
A lattice of interacting Majorana modes can occur in a superconducting film\non a topological insulator in a magnetic field. The phase diagram as a function\nof interaction strength for the square lattice was analyzed recently using a\ncom…
View article: Renormalization group analysis of phase transitions in the two dimensional Majorana-Hubbard model
Renormalization group analysis of phase transitions in the two dimensional Majorana-Hubbard model Open
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 for the square lattice was analyzed recently using a combin…