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A geometrical point of view on linearized beta-deformations
(Springer, 2019-09-01)
It is known that the supermultiplet of beta-deformations of N = 4 supersymmetric Yang-Mills theory can be described in terms of the exterior product of two adjoint representations of the superconformal algebra. We present ...
Relating the b ghost and the vertex operators of the pure spinor superstring
(Springer Science and Business Media Deutschland GmbH, 2021-03)
The OPE between the composite b ghost and the unintegrated vertex operator for massless states of the pure spinor superstring is computed and shown to reproduce the structure of the bosonic string result. The double pole ...
A note on the classical BRST symmetry of the pure spinor string in a curved background
(Scuola Internazionale Superiore di Studi Avanzati (SISSA) [Associate Organisation] Springer Verlag [Commercial Publisher], 2006-07)
The classical pure spinor version of the heterotic superstring in a supergravity and super Yang-Mills background is considered. We obtain the BRST transformations of the world-sheet fields. They are consistent with the ...
One-loop conformal invariance of the type II pure spinor superstring in a curved background
(Scuola Internazionale Superiore di Studi Avanzati (SISSA) [Associate Organisation] Springer Verlag [Commercial Publisher], 2007-01)
We compute the one-loop beta functions for the Type II superstring using the pure spinor formalism in a generic supergravity background. It is known that the classical pure spinor BRST symmetry puts the background fields ...
Untwisting the pure spinor formalism to the RNS and twistor string in a flat and AdS5 × S 5 background
(2016-06-01)
Abstract: The pure spinor formalism for the superstring can be formulated as a twisted N=2 worldsheet theory with fermionic generators jBRST and composite b ghost. After untwisting the formalism to an N=1 worldsheet theory ...
Alternative string theory in twistor space for N=4 super-Yang-Mills theory
(Amer Physical Soc, 2014)
Generalized complex and paracomplex structures on product manifolds
(Real Acad Ciencias Exactas Fisicas & Naturales, 2020-07-13)
On a product manifold (M, r), we consider four geometric structures compatible with r, e.g. hyper-paracomplex or bi-Lagrangian, and define distinguished generalized complex or paracomplex structures on M, which interpolate ...
Quaternionic structures, supertwistors and fundamental superspaces
(World Scientific, 2016-10)
Superspace is considered as space of parameters of the supercoherent states defining the basis for oscillator-like unitary irreducible representations of the generalized superconformal group SU(2m, 2n | 2N) in the field ...
Pure spinors, twistors, and emergent supersymmetry
(Springer, 2012-12-01)
Starting with a classical action whose matter variables are a d=10 spacetime vector x(m) and a pure spinor lambda(alpha), the pure spinor formalism for the superstring is obtained by gauge-fixing the twistor-like constraint ...
Twistor and polytope interpretations for subleading color one-loop amplitudes
(Elsevier B.V., 2012-02-21)
We use the relation of the one-loop subleading-color amplitudes to the one-loop n-point leading color amplitudes in N = 4 SYM, to derive a polytope interpretation for the former in the MHV case, and a representation in ...