PIRSA:19020076

Coulomb Phases and Anomalies: Geometric Approach to 5d/6d Theories

Kang, M. (2019). Coulomb Phases and Anomalies: Geometric Approach to 5d/6d Theories. Perimeter Institute. https://pirsa.org/19020076

Kang, Monica. Coulomb Phases and Anomalies: Geometric Approach to 5d/6d Theories. Perimeter Institute, Feb. 20, 2019, https://pirsa.org/19020076 

          @misc{ pirsa_PIRSA:19020076,
            doi = {10.48660/19020076},
            url = {https://pirsa.org/19020076},
            author = {Kang, Monica},
            keywords = {Mathematical physics},
            language = {en},
            title = {Coulomb Phases and Anomalies: Geometric Approach to 5d/6d Theories},
            publisher = {Perimeter Institute},
            year = {2019},
            month = {feb},
            note = {PIRSA:19020076 see, \url{https://pirsa.org}}
          }

Monica Kang California Institute of Technology

DOI 10.48660/19020076
Collection
Talk Type Scientific Series
Subject

Abstract

I will review the geometric approach to the description of Coulomb branches and Chern-Simons terms of gauge theories coming from compactifications of M-theory on elliptically fibered Calabi-Yau threefolds. Mathematically, this involves finding all the crepant resolutions of a given Weierstrass model and understanding the network of flops connecting them together with computing certain topological invariants. I will further check that the uplifted theory in 6d is anomaly-free using Green-Schwartz mechanism. I will give examples on the theory with semi-simple gauge groups such as SU(2)xG2, which plays a major role in the classification of 6d superconformal theories, and SU(2)xSU(3), which describes the non-abelian sector of the standard model.