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Cubic Twistorial String Field Theory,” JHEP 0404
, 2004
"... Abstract: Witten has recently proposed a string theory in twistor space whose D-instanton contributions are conjectured to compute N = 4 super-Yang-Mills scattering amplitudes. An alternative string theory in twistor space was then proposed whose open string tree amplitudes reproduce the D-instanton ..."
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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 D-instanton contributions are conjectured to compute N = 4 super-Yang-Mills scattering amplitudes. An alternative string theory in twistor space was then proposed whose open string tree amplitudes reproduce the D-instanton 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 gauge-invariant and reproduces the correct cubic super-Yang-Mills interactions, it provides strong support for the conjecture that the string theory correctly computes N-point super-Yang-Mills 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 three-dimensional twistor string theory. We begin with a review of mini-twistor 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 Yang-Mills 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 three-dimensional twistor string theory. We begin with a review of mini-twistor 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 Yang-Mills theory. In Berkovits’s model, we identify the enhanced R-symmetry. We then construct B-model topological string theories that, we propose, correspond to D = 3 Yang-Mills 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 Ramond-Ramond 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 Ramond-Ramond (RR) zero-momentum 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 Ramond-Ramond (RR) zero-momentum physical states are inequivalent at different pictures, and prove that non-zero momentum physical states are equivalent in all pictures. We find that D-brane 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 x-cohomology, the cohomology where the zero mode of the spatial coordinates is included, there is a unique ghost-number one BRST class responsible for the Green-Schwarz 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 one-loop 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 N-point f ..."
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Cited by 9 (4 self)
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We compute the one-loop 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 N-point functions for the gluon tree and one-loop amplitudes, and calculate a general one-loop expression for the current algebra
Hybrid formalism and topological amplitudes
"... We study four-dimensional compactifications of type II superstrings on Calabi-Yau spaces in the hybrid formalism. Chiral and twisted-chiral interactions are rederived, which involve the coupling of the compactification moduli to two powers of the Weyl-tensor and of the derivative of the universal te ..."
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Cited by 2 (0 self)
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We study four-dimensional compactifications of type II superstrings on Calabi-Yau spaces in the hybrid formalism. Chiral and twisted-chiral interactions are rederived, which involve the coupling of the compactification moduli to two powers of the Weyl-tensor and of the derivative of the universal tensor field-strength. 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 light-cone version to display the currents in terms of the covariant worldsheet variables. 1
IFT-P.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 super-Poincaré invariance. The first section discusses covariant quantization of the superparticle and gives a new proof of equivalence with the Brink-Schwarz 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 super-Poincaré invariance. The first section discusses covariant quantization of the superparticle and gives a new proof of equivalence with the Brink-Schwarz 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 super-Poincaré covariant manner. And the third section discusses quantization of the superstring in curved backgrounds which can include Ramond-Ramond 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 light-cone version to display the currents in terms of the covariant worldsheet variables. 1
IFT-P.051/2002 N=2 Superconformal Description of Superstring in Ramond-Ramond Plane Wave Backgrounds
, 2002
"... Using the U(4) formalism developed ten years ago, the worldsheet action for the superstring in Ramond-Ramond plane wave backgrounds is expressed in a manifestly N=(2,2) superconformally invariant manner. This simplifies the construction of consistent Ramond-Ramond 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 Ramond-Ramond plane wave backgrounds is expressed in a manifestly N=(2,2) superconformally invariant manner. This simplifies the construction of consistent Ramond-Ramond plane wave backgrounds and eliminates the problems associated with light-cone interaction point operators.
