MS Seminar (Mathematics - String Theory)

Speaker: Alexei Rosly (ITEP, HSE, Moscow)
Title: On Holomorphic Chern-Simons Theory in Twistor Space
Date (JST): Tue, Nov 24, 2015, 15:30 - 17:00
Place: Seminar Room B
Abstract: I will describe two Lagrangian field theories, one in ordinary four dimensional space and the other in twistor space, which have equivalent equations of motion. These amount to a nonlinear selfduality equation plus a linear anti-selfdual degree of freedom on the background of the selfdual one. This allows us to ask whether these two theories can be equivalent on the quantum level. Such an equivalence, in principle, should appear in the form of a correspondence between correlation functions in two theories. I will speculate on how such a correspondence could be found, but will be able to illustrate this only in the simplest abelian case. The key element of the construction is a description of Green's function in the form of a holomorphic linking number due to Atiyah.