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Cubic Twistorial String Field Theory,” JHEP 0404
, 2004
"... Abstract: Witten has recently proposed a string theory in twistor space whose Dinstanton contributions are conjectured to compute N = 4 superYangMills scattering amplitudes. An alternative string theory in twistor space was then proposed whose open string tree amplitudes reproduce the Dinstanton ..."
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Cited by 43 (1 self)
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Abstract: Witten has recently proposed a string theory in twistor space whose Dinstanton contributions are conjectured to compute N = 4 superYangMills scattering amplitudes. An alternative string theory in twistor space was then proposed whose open string tree amplitudes reproduce the Dinstanton computations of maximal degree in Witten’s model. In this paper, a cubic open string field theory action is constructed for this alternative string in twistor space, and is shown to be invariant under parity transformations which exchange MHV and googly amplitudes. Since the string field theory action is gaugeinvariant and reproduces the correct cubic superYangMills interactions, it provides strong support for the conjecture that the string theory correctly computes Npoint superYangMills tree amplitudes.
Massless and massive three dimensional super Yang–Mills theory and mini–twistor string theory
 REV. D
, 2005
"... We propose various ways of adding mass terms to threedimensional twistor string theory. We begin with a review of minitwistor space—the reduction of D = 4 twistor space to D = 3. We adapt the two proposals for twistor string theory, Witten’s and Berkovits’s, to D = 3 super YangMills theory. In Be ..."
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Cited by 17 (1 self)
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We propose various ways of adding mass terms to threedimensional twistor string theory. We begin with a review of minitwistor space—the reduction of D = 4 twistor space to D = 3. We adapt the two proposals for twistor string theory, Witten’s and Berkovits’s, to D = 3 super YangMills theory. In Berkovits’s model, we identify the enhanced Rsymmetry. We then construct Bmodel topological string theories that, we propose, correspond to D = 3 YangMills theory with massive spinors and massive and massless scalars in the adjoint representation of the gauge group. We also analyze the counterparts of these constructions in Berkovits’s model. Some of our constructions can be lifted to D = 4, where infinitesimal mass terms correspond to VEVs of certain superconformal gravity fields.
On the picture dependence of RamondRamond cohomology, Nucl. Phys. B523
, 1998
"... Closed string physical states are BRST cohomology classes computed on the space of states annihilated by b − 0. Since b − 0 does not commute with the operations of picture changing, BRST cohomologies at different pictures need not agree. We show explicitly that RamondRamond (RR) zeromomentum physi ..."
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Cited by 11 (0 self)
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Closed string physical states are BRST cohomology classes computed on the space of states annihilated by b − 0. Since b − 0 does not commute with the operations of picture changing, BRST cohomologies at different pictures need not agree. We show explicitly that RamondRamond (RR) zeromomentum physical states are inequivalent at different pictures, and prove that nonzero momentum physical states are equivalent in all pictures. We find that Dbrane states represent BRST classes that are nonpolynomial on the superghost zero modes, while RR gauge fields appear as polynomial BRST classes. We also prove that in xcohomology, the cohomology where the zero mode of the spatial coordinates is included, there is a unique ghostnumber one BRST class responsible for the GreenSchwarz anomaly, and a unique ghost number minus one BRST class associated with RR charge.
Tree and loop amplitudes in open twistor string theory
 JHEP
, 2007
"... We compute the oneloop gluon amplitude for the open twistor string model of Berkovits, using a symmetric form of the vertex operators. We discuss the classical solutions in various topologies and instanton sectors and the canonical quantization of the world sheet Lagrangian. We derive the Npoint f ..."
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Cited by 9 (4 self)
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We compute the oneloop gluon amplitude for the open twistor string model of Berkovits, using a symmetric form of the vertex operators. We discuss the classical solutions in various topologies and instanton sectors and the canonical quantization of the world sheet Lagrangian. We derive the Npoint functions for the gluon tree and oneloop amplitudes, and calculate a general oneloop expression for the current algebra
Hybrid formalism and topological amplitudes
"... We study fourdimensional compactifications of type II superstrings on CalabiYau spaces in the hybrid formalism. Chiral and twistedchiral interactions are rederived, which involve the coupling of the compactification moduli to two powers of the Weyltensor and of the derivative of the universal te ..."
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Cited by 2 (0 self)
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We study fourdimensional compactifications of type II superstrings on CalabiYau spaces in the hybrid formalism. Chiral and twistedchiral interactions are rederived, which involve the coupling of the compactification moduli to two powers of the Weyltensor and of the derivative of the universal tensor fieldstrength. We review the formalism and provide details of some of its technicalities. 1
A Representation of Symmetry Generators for the Type IIB Superstring on a Plane Wave in the U(4) Formalism
, 2003
"... We calculate the symmetry currents for the type IIB superstring on a maximally supersymmetric plane wave background using the N=(2,2) superconformally covariant U(4) formulation developed by Berkovits, Maldacena and Maoz. An explicit realization of the U(4) generators together with 16 fermionic gene ..."
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We calculate the symmetry currents for the type IIB superstring on a maximally supersymmetric plane wave background using the N=(2,2) superconformally covariant U(4) formulation developed by Berkovits, Maldacena and Maoz. An explicit realization of the U(4) generators together with 16 fermionic generators is obtained in terms of the N=(2,2) worldsheet fields. Because the action is no longer quadratic, we use a lightcone version to display the currents in terms of the covariant worldsheet variables. 1
IFTP.063/2002 ICTP Lectures on Covariant Quantization of the Superstring
, 2002
"... These ICTP Trieste lecture notes review the pure spinor approach to quantizing the superstring with manifest D=10 superPoincaré invariance. The first section discusses covariant quantization of the superparticle and gives a new proof of equivalence with the BrinkSchwarz superparticle. The second s ..."
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These ICTP Trieste lecture notes review the pure spinor approach to quantizing the superstring with manifest D=10 superPoincaré invariance. The first section discusses covariant quantization of the superparticle and gives a new proof of equivalence with the BrinkSchwarz superparticle. The second section discusses the superstring in a flat background and shows how to construct vertex operators and compute tree amplitudes in a manifestly superPoincaré covariant manner. And the third section discusses quantization of the superstring in curved backgrounds which can include RamondRamond flux.
A Representation of Symmtery Generators for the Type IIB Superstring on a Plane Wave in the U(4) Formalism
, 2003
"... We calculate the symmetry currents for the type IIB superstring on a maximally supersymmetric plane wave background using the N=(2,2) superconformally covariant U(4) formulation developed by Berkovits, Maldacena and Maoz. An explicit realization of the U(4) generators together with 16 fermionic gene ..."
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We calculate the symmetry currents for the type IIB superstring on a maximally supersymmetric plane wave background using the N=(2,2) superconformally covariant U(4) formulation developed by Berkovits, Maldacena and Maoz. An explicit realization of the U(4) generators together with 16 fermionic generators is obtained in terms of the N=(2,2) worldsheet fields. Because the action is no longer quadratic, we use a lightcone version to display the currents in terms of the covariant worldsheet variables. 1
IFTP.051/2002 N=2 Superconformal Description of Superstring in RamondRamond Plane Wave Backgrounds
, 2002
"... Using the U(4) formalism developed ten years ago, the worldsheet action for the superstring in RamondRamond plane wave backgrounds is expressed in a manifestly N=(2,2) superconformally invariant manner. This simplifies the construction of consistent RamondRamond plane wave backgrounds and eliminat ..."
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Using the U(4) formalism developed ten years ago, the worldsheet action for the superstring in RamondRamond plane wave backgrounds is expressed in a manifestly N=(2,2) superconformally invariant manner. This simplifies the construction of consistent RamondRamond plane wave backgrounds and eliminates the problems associated with lightcone interaction point operators.