Physics

We introduce a method for computing conformal blocks of operators in arbitrary Lorentz representations in any spacetime dimension, making it possible to apply bootstrap techniques to operators with spin. The key idea is to implement the "shadow...

One way in which supersymmetric gauge theories can arise in string theory is as worldvolume theories of probe branes at toric Calabi-Yau singularities. For N=1 4d worldvolume theories of D3 branes at Calabi-Yau 3-fold singularities, the field theory...

I will describe the calculation of the superconformal index for a large class of 4d N=2 theories, which arise by compactification of the maximally supersymmetric 6d theory on a punctured Riemann surface. The results for theories of type A have...

I will review the recent progress in the study of three dimensional U(N)_k Chern-Simons theories coupled to a massless boson or fermion in the fundamental representation. In particular, in the planar limit, one can determine the conformal fixed...