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Heterotic sigma models on and the Borcherds automorphic form
Sarah M. Harrison, Shamit Kachru, Natalie M. Paquette +2
We consider the spectrum of BPS states of the heterotic sigma model with supersymmetry and target, as well as its second-quantized counterpart. We show that the count…
The Hodge-elliptic genus, spinning BPS states, and black holes
Shamit Kachru, Arnav Tripathy
We perform a refined count of BPS states in the compactification of M-theory on , keeping track of the information provided by both the and angul…
Nonsupersymmetric dualities from mirror symmetry
Shamit Kachru, Michael Mulligan, Gonzalo Torroba +1
We study supersymmetry breaking perturbations of the simplest dual pair of 2+1-dimensional N = 2 supersymmetric field theories -- the free chiral multiplet and N = 2 super-QED with…
Bosonization and Mirror Symmetry
Shamit Kachru, Michael Mulligan, Gonzalo Torroba +1
We study bosonization in 2+1 dimensions using mirror symmetry, a duality that relates pairs of supersymmetric theories. Upon breaking supersymmetry in a controlled way, we dynamica…
Elementary introduction to Moonshine
Shamit Kachru
These notes provide an elementary (and incomplete) sketch of the objects and ideas involved in monstrous and umbral moonshine. They were the basis for a plenary lecture at the 18th…
Universal Bounds on Charged States in 2d CFT and 3d Gravity
Nathan Benjamin, Ethan Dyer, A. Liam Fitzpatrick +1
We derive an explicit bound on the dimension of the lightest charged state in two dimensional conformal field theories with a global abelian symmetry. We find that the bound scales…