1,080 research outputs found
Pure Spinor Formalism as an N=2 Topological String
Following suggestions of Nekrasov and Siegel, a non-minimal set of fields are
added to the pure spinor formalism for the superstring. Twisted =3 N=2
generators are then constructed where the pure spinor BRST operator is the
fermionic spin-one generator, and the formalism is interpreted as a critical
topological string. Three applications of this topological string theory
include the super-Poincare covariant computation of multiloop superstring
amplitudes without picture-changing operators, the construction of a cubic open
superstring field theory without contact-term problems, and a new
four-dimensional version of the pure spinor formalism which computes F-terms in
the spacetime action.Comment: 34 pages harvmac te
Pure-spinor superstrings in d=2,4,6
We continue the study of the d=2,4,6 pure-spinor superstring models
introduced in [1]. By explicitly solving the pure-spinor constraint we show
that these theories have vanishing central charge and work out the (covariant)
current algebra for the Lorentz currents. We argue that these super-Poincare
covariant models may be thought of as compactifications of the superstring on
CY_{4,3,2}, and take some steps toward making this precise by constructing a
map to the RNS superstring variables. We also discuss the relation to the so
called hybrid superstrings, which describe the same type of compactifications.Comment: 27 page
N=2 Sigma Models for Ramond-Ramond Backgrounds
Using the U(4) hybrid formalism, manifestly N=(2,2) worldsheet supersymmetric
sigma models are constructed for the Type IIB superstring in Ramond-Ramond
backgrounds. The Kahler potential in these N=2 sigma models depends on four
chiral and antichiral bosonic superfields and two chiral and antichiral
fermionic superfields. When the Kahler potential is quadratic, the model is a
free conformal field theory which describes a flat ten-dimensional target space
with Ramond-Ramond flux and non-constant dilaton. For more general Kahler
potentials, the model describes curved target spaces with Ramond-Ramond flux
that are not plane-wave backgrounds. Ricci-flatness of the Kahler metric
implies the on-shell conditions for the background up to the usual four-loop
conformal anomaly.Comment: 19 pages harvma
DDF Construction and D-Brane Boundary States in Pure Spinor Formalism
Open string boundary conditions for non-BPS D-branes in type II string
theories discussed in hep-th/0505157 give rise to two sectors with integer (R
sector) and half-integer (NS sector) modes for the combined fermionic matter
and bosonic ghost variables in pure spinor formalism. Exploiting the manifest
supersymmetry of the formalism we explicitly construct the DDF (Del Giudice, Di
Vecchia, Fubini) states in both the sectors which are in one-to-one
correspondence with the states in light-cone Green-Schwarz formalism. We also
give a proof of validity of this construction. A similar construction in the
closed string sector enables us to define a physical Hilbert space in pure
spinor formalism which is used to project the covariant boundary states of both
the BPS and non-BPS instantonic D-branes. These projected boundary states take
exactly the same form as those found in light-cone Green-Schwarz formalism and
are suitable for computing the cylinder diagram with manifest open-closed
duality.Comment: 37 pages, typos corrected, some organisational changes mad
Ramond-Ramond Central Charges in the Supersymmetry Algebra of the Superstring
The free action for the massless sector of the Type II superstring was
recently constructed using closed RNS superstring field theory. The
supersymmetry transformations of this action are shown to satisfy an N=2 D=10
SUSY algebra with Ramond-Ramond central charges.Comment: 10 pages harvmac te
Note About Classical Dynamics of Pure Spinor String on AdS_5 x S_5 Background
We will discuss some properties of the pure spinor string on the AdS_5 x S_5
background. Using the classical Hamiltonian analysis we will show that the
vertex operator for the massless state that is in the cohomology of the BRST
charges describes on-shell fluctuations around AdS_5 x S_5 background.Comment: 26. pages, added references, v2:corrected typo
A New Proposal for the Picture Changing Operators in the Minimal Pure Spinor Formalism
Using a new proposal for the "picture lowering" operators, we compute the
tree level scattering amplitude in the minimal pure spinor formalism by
performing the integration over the pure spinor space as a multidimensional
Cauchy-type integral. The amplitude will be written in terms of the projective
pure spinor variables, which turns out to be useful to relate rigorously the
minimal and non-minimal versions of the pure spinor formalism. The natural
language for relating these formalisms is the Cech-Dolbeault isomorphism.
Moreover, the Dolbeault cocycle corresponding to the tree-level scattering
amplitude must be evaluated in SO(10)/SU(5) instead of the whole pure spinor
space, which means that the origin is removed from this space. Also, the
Cech-Dolbeault language plays a key role for proving the invariance of the
scattering amplitude under BRST, Lorentz and supersymmetry transformations, as
well as the decoupling of unphysical states. We also relate the Green's
function for the massless scalar field in ten dimensions to the tree-level
scattering amplitude and comment about the scattering amplitude at higher
orders. In contrast with the traditional picture lowering operators, with our
new proposal the tree level scattering amplitude is independent of the constant
spinors introduced to define them and the BRST exact terms decouple without
integrating over these constant spinors.Comment: 56 pages, typos correcte
BFT embedding of the Green-Schwarz superstring and the pure spinor formalism
We worked out the Batalin-Fradkin-Tyutin (BFT) conversion program of second
class constraints to first class constraints in the GS superstring using light
cone coordinates. By applying this systematic procedure we were able to obtain
a gauge system that is equivalent to the recent model proposed by Berkovits and
Marchioro to relate the GS superstring to the pure spinor formalism.Comment: 12 pages latex2e, v2 typos fixed, v3 published in JHE
Non-BPS D-Branes in Light-Cone Green-Schwarz Formalism
Non-BPS D-branes are difficult to describe covariantly in a manifestly
supersymmetric formalism. For definiteness we concentrate on type IIB string
theory in flat background in light-cone Green-Schwarz formalism. We study both
the boundary state and the boundary conformal field theory descriptions of
these D-branes with manifest SO(8) covariance and go through various
consistency checks. We analyze Sen's original construction of non-BPS D-branes
given in terms of an orbifold boundary conformal field theory. We also directly
study the relevant world-sheet theory by deriving the open string boundary
condition from the covariant boundary state. Both these methods give the same
open string spectrum which is consistent with the boundary state, as required
by the world-sheet duality. The boundary condition found in the second method
is given in terms of bi-local fields that are quadratic in Green-Schwarz
fermions. We design a special ``doubling trick'' suitable to handle such
boundary conditions and prescribe rules for computing all possible correlation
functions without boundary insertions. This prescription has been tested by
computing disk one-point functions of several classes of closed string states
and comparing the results with the boundary state computation.Comment: 47 pages, 1 figure. Typos corrected, references added and slight
modification of certain explanation made. Version accepted for publication in
JHE
BRST Invariance of Non-local Charges and Monodromy Matrix of Bosonic String on AdS(5)xS(5)
Using the generalized Hamiltonian method of Batalin, Fradkin and Vilkovsky we
develop the BRST formalism for the bosonic string on AdS(5)xS(5) formulated as
principal chiral model. Then we show that the monodromy matrix and non-local
charges are BRST invariant.Comment: 26. page
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