## 2 Citations

### Topological terms of (2+1)d flag-manifold sigma models

- Mathematics
- 2021

We examine topological terms of (2+1)d sigma models and their consequences in the light of classifications of invertible quantum field theories utilizing bordism groups. In particular, we study the…

## References

SHOWING 1-10 OF 24 REFERENCES

### Mass generation by fractional instantons in SU( n ) chains

- Mathematics
- 2020

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 $n$…

### Self-conjugate representation SU(3) chains

- PhysicsPhysical Review B
- 2019

It was recently argued that SU(3) chains in the $p$-box symmetric irreducible representation (irrep) exhibit a "Haldane gap" when $p$ is a multiple of 3 and are otherwise gapless [Nucl. Phys. B…

### Valence bond ground states in isotropic quantum antiferromagnets

- Physics
- 1988

Haldane predicted that the isotropic quantum Heisenberg spin chain is in a “massive” phase if the spin is integral. The first rigorous example of an isotropic model in such a phase is presented. The…

### A proof of part of Haldane's conjecture on spin chains

- Mathematics
- 1986

It has been argued that the spectra of infinite length, translation and U(1) invariant, anisotropic, antiferromagnetic spin s chains differ according to whether s is integral or 1/2 integral: There…

### Condensed Matter Field Theory

- Physics
- 2006

Modern experimental developments in condensed matter and ultracold atom physics present formidable challenges to theorists. This book provides a pedagogical introduction to quantum field theory in…