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61
Conformal field theory for the superstring in a RamondRamond planewave background
 JHEP
"... A quantizable worldsheet action is constructed for the superstring in a supersymmetric plane wave background with RamondRamond flux. The action is manifestly invariant under all isometries of the background and is an exact worldsheet conformal field theory. ..."
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Cited by 45 (1 self)
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A quantizable worldsheet action is constructed for the superstring in a supersymmetric plane wave background with RamondRamond flux. The action is manifestly invariant under all isometries of the background and is an exact worldsheet conformal field theory.
Pure Spinor Formalism as an N=2 Topological String
, 2005
"... Following suggestions of Nekrasov and Siegel, a nonminimal set of fields are added to the pure spinor formalism for the superstring. Twisted ĉ = 3 N=2 generators are then constructed where the pure spinor BRST operator is the fermionic spinone generator, and the formalism is interpreted as a criti ..."
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Cited by 36 (7 self)
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Following suggestions of Nekrasov and Siegel, a nonminimal set of fields are added to the pure spinor formalism for the superstring. Twisted ĉ = 3 N=2 generators are then constructed where the pure spinor BRST operator is the fermionic spinone generator, and the formalism is interpreted as a critical topological string. Three applications of this topological string theory include the superPoincaré covariant computation of multiloop superstring amplitudes without picturechanging operators, the construction of a cubic open superstring field theory without contactterm problems, and a new fourdimensional version of the pure spinor formalism which computes Fterms in the spacetime action.
Conformal Invariance of the Pure Spinor Superstring
 in a Curved Background,” JHEP 0404 (2004) 041 [arXiv:hepth/0401226
"... It is shown that the pure spinor formulation of the heterotic superstring in a generic gravitational and super YangMills background has vanishing oneloop beta functions. ..."
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It is shown that the pure spinor formulation of the heterotic superstring in a generic gravitational and super YangMills background has vanishing oneloop beta functions.
Perturbative SuperYangMills from the topological
 AdS5 × S 5 sigma model, 0806.1960. 46
"... A topological sigma model based on the pure spinor formalism was recently proposed for the small radius limit of the AdS5 × S 5 superstring. Physical states in this model can be constructed by connecting holes on the worldsheet with Wilson lines of the worldsheet gauge field. The contribution of the ..."
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Cited by 17 (1 self)
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A topological sigma model based on the pure spinor formalism was recently proposed for the small radius limit of the AdS5 × S 5 superstring. Physical states in this model can be constructed by connecting holes on the worldsheet with Wilson lines of the worldsheet gauge field. The contribution of these states to the topological amplitude is claimed to reproduce the usual Feynman diagram expansion of gaugeinvariant superYangMills correlation functions.
From spacetime to worldsheet: Four point correlators,” arXiv:hepth/0606078
"... Abstract: The Schwinger representation gives a systematic procedure for recasting large N field theory amplitudes as integrals over closed string moduli space. This procedure has recently been applied to a class of free field four point functions by Aharony, Komargodski and Razamat, to study the lea ..."
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Abstract: The Schwinger representation gives a systematic procedure for recasting large N field theory amplitudes as integrals over closed string moduli space. This procedure has recently been applied to a class of free field four point functions by Aharony, Komargodski and Razamat, to study the leading terms in the putative worldsheet OPE. Here we observe that the dictionary between Schwinger parameters and the cross ratio of the four punctured sphere actually yields an explicit expression for the full worldsheet four point correlator in many such cases. This expression has a suggestive form and obeys various properties, such as crossing symmetry and mutual locality, expected of a correlator in a two dimensional CFT. Therefore one may take this to be a candidate four point function in a worldsheet description of closed strings on highly curved AdS5 ×S 5. The general framework, that we develop for computing the relevant Strebel differentials, also admits a systematic perturbation expansion which would be useful for studying more general four point correlators. – 1 – Contents
NonCritical Pure Spinor Superstrings
, 2006
"... We construct noncritical pure spinor superstrings in two, four and six dimensions. We find explicitly the map between the RNS variables and the pure spinor ones in the linear dilaton background. The RNS variables map onto a patch of the pure spinor space and the holomorphic top form on the pure spi ..."
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Cited by 15 (3 self)
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We construct noncritical pure spinor superstrings in two, four and six dimensions. We find explicitly the map between the RNS variables and the pure spinor ones in the linear dilaton background. The RNS variables map onto a patch of the pure spinor space and the holomorphic top form on the pure spinor space is an essential ingredient of the mapping. A basic feature of the map is the requirement of doubling the superspace, which we analyze in detail. We study the structure of the noncritical pure spinor space, which is different from the tendimensional one, and its quantum anomalies. We compute the pure spinor lowest lying BRST cohomology and find an agreement with the RNS spectra. The analysis is generalized to curved backgrounds and we construct as an example the noncritical pure spinor type IIA superstring on AdS4 with RR 4form flux.
Dbrane dynamics in constant RamondRamond potentials and noncommutative geometry,” arXiv:hepth/0209164. 31
, 1982
"... Abstract: We study the physics of D–branes in the presence of constant Ramond–Ramond potentials. We first develop a general formalism to analyze open strings in gauge trivial closed string backgrounds, and then apply it both to the RNS string and within Berkovits ’ covariant formalism, where the res ..."
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Abstract: We study the physics of D–branes in the presence of constant Ramond–Ramond potentials. We first develop a general formalism to analyze open strings in gauge trivial closed string backgrounds, and then apply it both to the RNS string and within Berkovits ’ covariant formalism, where the results have the most natural interpretation. The most remarkable finding is that, in the presence of a Dp–brane, a small parallel NS–NS B–field and R–R C (p−1)–field can be gauged away to produce a U (1) field strength on the brane given by F = 1 2 B − ⋆C (p−1) ) , where ⋆ is Hodge duality along the brane world–volume. This equation differs from the usually assumed result of F = B. Note, however, that the usual result is, in the D3–brane case, not compatible with S–duality. On the other hand our result, which is derived
A note on the classical BRST symmetry of the pure spinor string in a curved background,” JHEP 0607
, 2006
"... The classical pure spinor version of the heterotic superstring in a supergravity and super YangMills background is considered. We obtain the BRST transformations of the worldsheet fields. They are consistent with the constraints obtained from the nilpotence of the BSRT charge and the holomorphicit ..."
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Cited by 11 (5 self)
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The classical pure spinor version of the heterotic superstring in a supergravity and super YangMills background is considered. We obtain the BRST transformations of the worldsheet fields. They are consistent with the constraints obtained from the nilpotence of the BSRT charge and the holomorphicity of the BRST current.
Oneloop Conformal Invariance of the Type II Pure Spinor Superstring in a Curved Background,” JHEP 0701
, 2007
"... We compute the oneloop 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 onshell. In this paper we show that the oneloop beta functions vanish as a co ..."
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Cited by 10 (2 self)
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We compute the oneloop 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 onshell. In this paper we show that the oneloop beta functions vanish as a consequence of the classical BRST symmetry of the action.
D–Brane Boundary States in the Pure Spinor Superstring
, 2005
"... We study the construction of D–brane boundary states in the pure spinor formalism for the quantisation of the superstring. This is achieved both via a direct analysis of the definition of D–brane boundary states in the pure spinor conformal field theory, as well as via comparison between standard RN ..."
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Cited by 6 (1 self)
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We study the construction of D–brane boundary states in the pure spinor formalism for the quantisation of the superstring. This is achieved both via a direct analysis of the definition of D–brane boundary states in the pure spinor conformal field theory, as well as via comparison between standard RNS and pure spinor descriptions of the superstring. Regarding the map between RNS and pure spinor formulations of the superstring, we shed new light on the tree level zero mode saturation rule. Within the pure spinor formalism we propose an explicit expression for the D–brane boundary state in a flat spacetime background. While the non–zero mode sector mostly follows from a simple understanding of the pure spinor conformal field theory, the zero mode sector requires a deeper analysis which is one of the main points in this work. With the construction of the boundary states at hand, we give a prescription for calculating scattering amplitudes in the presence of a D–brane. Finally, we also briefly discuss the coupling to the world–volume gauge field and show