Marco Baggio

Anomalous breaking of anisotropic scaling symmetry in the quantum lifshitz model

A bstractIn this note we investigate the anomalous breaking of anisotropic scaling symmetry (t, x) → (λzt, λ x) in a non-relativistic field theory with dynamical exponent z = 2. On general grounds, one can show that there exist two possible “central charges” which characterize the breaking of scale invariance. Using heat kernel methods, we compute these two central charges in the quantum Lifshitz model, a free field theory which is second order in time and fourth order in spatial derivatives. We find that one of the two central charges vanishes. Interestingly, this is also true for strongly coupled non-relativistic field theories with a geometric dual described by a metric and a massive vector field.

A non-renormalization theorem for chiral primary 3-point functions

A bstractIn this note we prove a non-renormalization theorem for the 3-point functions of 1/2 BPS primaries in the four-dimensional

Hamilton-Jacobi renormalization for Lifshitz spacetime

\mathcal{N} = 4

tt* equations, localization and exact chiral rings in 4d N=2 SCFTs

SYM and chiral primaries in two dimensional

Protected string spectrum in AdS3/CFT2 from worldsheet integrability

\mathcal{N} = \left( {4,4} \right)

On exact correlation functions in SU(N) N=2 superconformal QCD

SCFTs. Our proof is rather elementary: it is based on Ward identities and the structure of the short multiplets of the superconformal algebra and it does not rely on superspace techniques. We also discuss some possible generalizations to less supersymmetric multiplets.

Exact Correlation Functions inSU(2)N=2Superconformal QCD

A bstractJust like AdS spacetimes, Lifshitz spacetimes require counterterms in order to make the on-shell value of the bulk action finite. We study these counterterms using the Hamilton-Jacobi method. Rather than imposing boundary conditions from the start, we will derive suitable boundary conditions by requiring that divergences can be canceled using only local counterterms. We will demonstrate in examples that this procedure indeed leads to a finite bulk action while at the same time it determines the asymptotic behavior of the fields. This puts more substance to the belief that Lifshitz spacetimes are dual to well-behaved field theories. As a byproduct, we will find the analogue of the conformal anomaly for Lifshitz spacetimes.

Conformal symmetry for black holes in four dimensions and irrelevant deformations

A bstractWe compute exact 2- and 3-point functions of chiral primaries in four-dimensional N

Higher derivative corrections and central charges from wrapped M5-branes

\mathcal{N}