Speaker
Description
Sigma models constitute a fundamental class of field theories with wide-ranging applications in theoretical and mathematical physics. However, their analysis is often complicated by the nonlinearity of their Lagrangians. While traditional approaches, such as the background field method, offer partial insights, they face inherent limitations.
In this talk, I will present an alternative framework—the first-order GLSM formulation (or Gross-Neveu formalism)—which reformulates sigma models as gauge theories with a finite number of interactions via symplectic reduction. This approach provides a powerful tool for studying sigma models with homogeneous Hermitian target spaces associated with classical Lie groups. I will discuss the key aspects of this method, its advantages over conventional techniques, and its implications for nonperturbative analysis.
The results are based on joint work with Dmitri Bykov:
arXiv:2306.04555
arXiv:2407.20423
arXiv:2502.07612
