Mathematical Picture Language Seminar: The TTbar deformation of 2d quantum field theory and modular forms

MATHEMATICAL PICTURE LANGUAGE, SEMINARS

View Calendar
April 4, 2023 9:30 am - 10:30 am
via Zoom Video Conferencing
Speaker:

John Cardy - UC Berkeley and All Souls College, Oxford


"TTbar" deformed 2d quantum field theory is a non-local theory in which Minkowski space is deformed in a state-dependent but consistent manner. For a massive theory this is equivalent to each particle acquiring a width proportional to its mass in its rest frame, giving rise to simple CDD factors dressing the $S$--matrix, but for deformed conformal field theories the spectrum becomes quite complicated, and the question of modular invariance of the torus partition function is non-trivial. I will show that this leads to a theory of TTbar deformed modular forms in general. Maass forms turn out to play an important role as eigenforms of the deformation.


The Math Picture Language seminar will be held at 9:30 a.m. Boston time.
Click the link for a Zoom Link for Tuesday Math Picture Language Seminars.
Recorded seminars can be viewed on the Mathematical Picture Language YouTube channel.