31 May 2021 to 5 June 2021
Asia/Tokyo timezone

From Little Strings to M5-branes and Number Theory via a Quasi-Topological Sigma Model on Loop Group

4 Jun 2021, 10:30
1h 15m


Organized by Kavli IPMU


Meng-Chwan Tan (NUS Singapore)


We unravel the ground states and left-excited states of the A_{k-1} N=(2,0) little string theory. Via a theorem by Atiyah, these sectors can be captured by a supersymmetric quasi-topological sigma model on CP^1 with target space the based loop group of SU(k). The ground states, described by L^2-cohomology classes, form modules over an affine Lie algebra, while the left-excited states, described by chiral differential operators, form modules over a toroidal Lie algebra. We also apply our results to unravel the 1/2 and 1/4 BPS sectors of the M5-brane worldvolume theory, which spectrum we find to be captured by cousins of modular and automorphic forms, respectively, that reveal an intrinsic S- and T-duality of the worldvolume theory.

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