Status  Confirmed 
Seminar Series  SEMLPTHE 
Subjects  condmat.statmech,hepth,mathph 
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, thetaterms, anomaly matching and lattice field theory 
Abstract  I will discuss bosonic nonlinear sigma models in 2d, specifically focusing on the CP(N1) and flagmanifold target space. These models allow thetaterms. I will show that interesting anomaly matching conditions exist for these models at specific values of theta, allowing rigorous predictions about the phasediagram of the models. If time permits, I will also discuss numerical studies of such systems. The thetaterm typically introduces the complexaction problem, prohibiting Monte Carlo simulations from firstprinciples. This complexaction problem can be overcome however by proper reformulation 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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