Title：TTbar deformation and supersymmetric indices of integrable systems

Speaker：Haoyu Sun

Time：March 25,202114：40

Venue：302，Physics Building

Online report（ZOOM ID：880 9263 3420）

Abstract：We calculate the N-multiplets for two-dimensional Euclidean N=(0,2) and N=(2,2) superconformal field theories under the Ttbar deformation at leading order of perturbation theory in the deformation coupling. Then, from these N=(0,2) deformed multiplets, we calculate two- and three-point correlators. We show the N=(0,2) chiral ring's elements do not flow under the Ttbar deformation. For the case of N=(2,2), we show the twisted chiral ring and chiral ring cease to exist simultaneously. Specializing to integrable supersymmetric seed theories, such as N=(2,2) Landau-Ginzburg models, we use the thermodynamic Bethe ansatz to study the S-matrices and ground state energies. From both an S-matrix perspective and Melzer's folding prescription, we show that the deformed ground state energy obeys the inviscid Burgers' equation. Finally, we show that several indices independent of D-term perturbations including the Witten index, Cecotti-Fendley-Intriligator-Vafa index and elliptic genus do not flow under the Ttbar deformation.

Brief Bio：I obtained Bachelor of Arts in math and physics, and Bachelor of Science in microbial biology from University of California, Berkeley in 2014. Later I stayed at Berkeley to obtain my PhD in physics under the supervision of Ori Ganor in 2020. Now I am a postdoc at University of Texas, Austin, as a part of Simons Collaboration “Ultra-Quantum Matter”, affiliated to Andreas Karch.

My research interest include (non)supersymmetric holography, interplay between gravity/QFT and low-dimensional topology, as well as number theory.