45 research outputs found
Vertex operators for the plane wave pure spinor string
Indexación: Scopus.We would like to thank William Linch for useful discussions and comments on the draft. The work of Bcv is partially supported by FONDECYT grant number 1151409 and CON-ICYT grant number DPI20140115.In this work we give an explicit construction for the vertex operators of massless states in the pure spinor superstring in a plane wave background. The construction is based on the observation that the full action can be divided in two parts, where the simpler one is based on a smaller coset and closely resembles the gauge fixed Green-Schwarz action. © 2018, The Author(s).https://link.springer.com/article/10.1007%2FJHEP10%282018%2908
A Note on the Superstring BRST Operator
We write the BRST operator of the N=1 superstring as where and are super-reparameterization ghosts.
This provides a trivial proof that is nilpotent.Comment: 4 pages late
One-loop conformal invariance of the type II pure spinor superstring in a curved background
Indexación: Scopus.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 on-shell. In this paper we show that the one-loop beta functions vanish as a consequence of the classical BRST symmetry of the action.https://iopscience.iop.org/article/10.1088/1126-6708/2007/01/04
Relating the b ghost and the vertex operators of the pure spinor superstring
Indexación ScopusThe 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 vanishes in the Lorenz gauge and the single pole is shown to be equal to the corresponding integrated vertex operator. © 2021, The Author(s).https://link-springer-com.recursosbiblioteca.unab.cl/article/10.1007/JHEP03(2021)16
Massive torsion modes, chiral gravity, and the Adler-Bell-Jackiw anomaly
Regularization of quantum field theories introduces a mass scale which breaks
axial rotational and scaling invariances. We demonstrate from first principles
that axial torsion and torsion trace modes have non-transverse vacuum
polarization tensors, and become massive as a result. The underlying reasons
are similar to those responsible for the Adler-Bell-Jackiw (ABJ) and scaling
anomalies. Since these are the only torsion components that can couple
minimally to spin 1/2 particles, the anomalous generation of masses for these
modes, naturally of the order of the regulator scale, may help to explain why
torsion and its associated effects, including CPT violation in chiral gravity,
have so far escaped detection. As a simpler manifestation of the reasons
underpinning the ABJ anomaly than triangle diagrams, the vacuum polarization
demonstration is also pedagogically useful. In addition it is shown that the
teleparallel limit of a Weyl fermion theory coupled only to the left-handed
spin connection leads to a counter term which is the Samuel-Jacobson-Smolin
action of chiral gravity in four dimensions.Comment: 7 pages, RevTeX fil
Gravitational Constant and Torsion
Riemann-Cartan space time is considered here. It has been shown that
when we link topological Nieh-Yan density with the gravitational constant then
we get Einstein-Hilbert Lagrangian as a consequence.Comment: 8 page
ELKO Spinor Fields: Lagrangians for Gravity derived from Supergravity
Dual-helicity eigenspinors of the charge conjugation operator (ELKO spinor
fields) belong -- together with Majorana spinor fields -- to a wider class of
spinor fields, the so-called flagpole spinor fields, corresponding to the
class-(5), according to Lounesto spinor field classification based on the
relations and values taken by their associated bilinear covariants. There
exists only six such disjoint classes: the first three corresponding to Dirac
spinor fields, and the other three respectively corresponding to flagpole,
flag-dipole and Weyl spinor fields. Using the mapping from ELKO spinor fields
to the three classes Dirac spinor fields, it is shown that the
Einstein-Hilbert, the Einstein-Palatini, and the Holst actions can be derived
from the Quadratic Spinor Lagrangian (QSL), as the prime Lagrangian for
supergravity. The Holst action is related to the Ashtekar's quantum gravity
formulation. To each one of these classes, there corresponds a unique kind of
action for a covariant gravity theory. Furthermore we consider the necessary
and sufficient conditions to map Dirac spinor fields (DSFs) to ELKO, in order
to naturally extend the Standard Model to spinor fields possessing mass
dimension one. As ELKO is a prime candidate to describe dark matter and can be
obtained from the DSFs, via a mapping explicitly constructed that does not
preserve spinor field classes, we prove that in particular the
Einstein-Hilbert, Einstein-Palatini, and Holst actions can be derived from the
QSL, as a fundamental Lagrangian for supergravity, via ELKO spinor fields. The
geometric meaning of the mass dimension-transmuting operator - leading ELKO
Lagrangian into the Dirac Lagrangian - is also pointed out, together with its
relationship to the instanton Hopf fibration.Comment: 11 pages, RevTeX, accepted for publication in
Int.J.Geom.Meth.Mod.Phys. (2009
The Holst Action by the Spectral Action Principle
We investigate the Holst action for closed Riemannian 4-manifolds with
orthogonal connections. For connections whose torsion has zero Cartan type
component we show that the Holst action can be recovered from the heat
asymptotics for the natural Dirac operator acting on left-handed spinor fields.Comment: We correct a sign mistake in Proposition 2.3. As a consequence the
main result (Theorem 3.4) becomes more natura
Chern-Simons formulation of noncommutative gravity in three dimensions
We formulate noncommutative three-dimensional (3D) gravity by making use of its connection with 3D Chern-Simons theory. In the Euclidean sector, we consider the topology T² x R and show that the 3D black hole solves the noncommutative equations. We then consider the black hole on a constant U(1) background and show that the black hole charges (mass and angular momentum) are modified by the presence of this background.Facultad de Ciencias Exacta