Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series SEM-LPTHE
Subjects cond-mat.stat-mech,hep-th,math-ph
Date Friday 11 January 2019
Time 11:00
Institute LPTHE
Seminar Room Bibliothèque
Speaker's Last Name Sulejmanpasic
Speaker's First Name Tin
Speaker's Email Address
Speaker's Institution LPTENS
Title Nonlinear sigma models in 2d, theta-terms, anomaly matching and lattice field theory
Abstract I will discuss bosonic nonlinear sigma models in 2d, specifically focusing on the CP(N-1) and flag-manifold target space. These models allow theta-terms. I will show that interesting anomaly matching conditions exist for these models at specific values of theta, allowing rigorous predictions about the phase-diagram of the models. If time permits, I will also discuss numerical studies of such systems. The theta-term typically introduces the complex-action problem, prohibiting Monte Carlo simulations from first-principles. This complex-action problem can be overcome however by proper re-formulation of the theory on the lattice, and subsequent dualization. The approach leads to some beautiful results in higher dimensions as well, such as natural definition of magnetically charged matter and Kramers–Wannier duality in 4d.
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