Research Talk 13 - Six- and eleven-dimensional theories via superspace torsion and Poisson brackets

          @misc{ pirsa_PIRSA:23070028,
            doi = {10.48660/23070028},
            url = {https://pirsa.org/23070028},
            author = {Saberi, Ingmar},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Research Talk 13 - Six- and eleven-dimensional theories via superspace torsion and Poisson brackets},
            publisher = {Perimeter Institute},
            year = {2023},
            month = {jul},
            note = {PIRSA:23070028 see, \url{https://pirsa.org}}
          }
          

Abstract

I will review some recent developments that attempt to put modern mathematical tools and structural insights to effective use in physics. The focus will be on two such tools. The first is a perspective on superspace geometry that leads to powerful structural analogies between twisted theories (which encode the dynamics of particular BPS subsectors) and their untwisted parents. The second deals with generalizations of typical field theories akin to the generalization from symplectic to Poisson phase spaces. As an application, one obtains an object with N=(2,0) superconformal symmetry in six dimensions. Working at the holomorphic level on flat space, this object becomes the current algebra of the exceptional simple superalgebra E(3|6), which localizes to the W_2 algebra and dimensionally reduces to sl(2) super Yang-Mills theory. This is a mixture of joint work with numerous collaborators, in particular Hahner, Raghavendran, and Williams.