Applications of Symplectic Supergeometries in Particle, String and Membrane Models

Cem Yetişmişoğlu, İstanbul Technical University Postdoctoral Researcher.

Date: 30th of  April, 2024, Tuesday.

Time: 11.30 – 12.30.

Place: Zoom (https://itu-edu-tr.zoom.us/j/94090890378?pwd=RHpFc1l6MFBjcWU3ZGdidW9qcWRGUT09

Meeting ID: 940 9089 0378

Passcode: 035170.)

Abstract: In this talk we will talk about symplectic supergeometries and their applications coming from different areas of mathematical physics. In the first part, we will look at an application regarding statistical mechanical applications to systems with discrete degrees of freedom (math-ph:2311.05711). In the second part, we will talk about algebraic structure of symmetries associated with string/membrane models which are called algebroids. Moreover for string dualities one is interested in bialgebroids and their Drinfel’d doubles. These notions can naturally be studied using symplectic supergeometries (Voronov, Roytenberg). In this talk we will talk about reformulations of these structures in terms of vector bundles and calculi that we defined on them (hep-th:2312.06584).