22 citations · 58 across the 4 of their papers we have counts for
6 papers
Compactification of the Heterotic Pure Spinor Superstring I
Osvaldo Chandia, William D. Linch, Brenno Carlini Vallilo
In this paper we begin the study of compactifications of the pure spinor formalism for superstrings. As a first example of such a process we study the case of the heterotic string…
On the Non-renormalization of the AdS Radius
Luca Mazzucato, Brenno Carlini Vallilo
We show that the relation between the 't Hooft coupling and the radius of AdS is not renormalized at one-loop in the sigma model perturbation theory. We prove this by computing the…
Integrability of the Gauged Linear Sigma Model for AdS_5xS^5
William D. Linch, Brenno Carlini Vallilo
Recently, a gauged linear sigma model was proposed by Berkovits and Vafa which can be used to describe the AdS_5xS^5 superstring at finite and zero radius. In this paper we show th…
Group Theoretical Formulation of Quantum Partial Search Algorithm
Vladimir E. Korepin, Brenno C. Vallilo
Searching and sorting used as a subroutine in many important algorithms. Quantum algorithm can find a target item in a database faster than any classical algorithm. One can trade a…
Conformal Invariance of the Pure Spinor Superstring in a Curved Background
Osvaldo Chandia, Brenno Carlini Vallilo
It is shown that the pure spinor formulation of the heterotic superstring in a generic gravitational and super Yang-Mills background has vanishing one-loop beta functions.
One Loop Conformal Invariance of the Superstring in an AdS_5 x S^5 Background
Brenno Carlini Vallilo
It is proven that the pure spinor superstring in an AdS_5 x S^5 background remains conformally invariant at one loop level in the sigma model perturbation theory.