Alladi Ramakrishnan Hall

Integrable structure of higher spin CFT and ODE/IM correspondence

Sanhita Parihar

IMSc

In this talk I will start by discussing the Integrable structure of conformal field theory in two dimensions with an extended W3 algebra. Then I will proceed to explain a systematic way to construct the associated conserved currents. I will elaborate on the two necessary ingredients for this construction; the vacuum and first excited state eigenvalues of charges from ODE/IM correspondence and the thermal correlators of composite operators constructed from stress energy tensor and spin 3 current. I will end the talk by summarizing the results for the conserved currents.