Twistor origin of the superstring

Berkovits, Nathan

doi:10.1007/jhep03(2015)122

Cited by 18 publications

(36 citation statements)

References 52 publications

(74 reference statements)

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“…where N (6) 1|2,3,4,5,6 ( ) ≡ n (6) 1|2,3,4,5,6 ( ) + n (6) 1|2,3,4,5,6 and all the -dependent part of the local hexagon numerator is represented by n (6) 1|2,3,4,5,6 ( ) ≡…”

Section: Six-point Hexagonmentioning

confidence: 99%

“…The right-hand side keeps track of the anomalous contributions due to the tensor hexagon Q 1 2 m n V 1 T mn 2,3,4,5,6 and the second line of the pentagon variation in (60). By inserting the propagators in (40) and I (6) 1,2,3,4,5,6 = 5 j=0 ( − k 12··· j ) −2 , the variation (65) appears to cancel at the level of the integrand. However, the logarithmically divergent nature of the ten-dimensional integral over (65) leads to subtleties to be resolved below.…”

Section: Six-point Hexagonmentioning

confidence: 99%

“…See for reviews of the pure spinor formalism and for a recent derivation of the BRST operator from gauge fixing a reparametrization invariant worldsheet action.…”

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confidence: 99%

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Towards one-loop SYM amplitudes from the pure spinor BRST cohomology

2015

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In this paper, we outline a method to compute supersymmetric one-loop integrands in ten-dimensional SYM theory. It relies on the constructive interplay between their cubic-graph organization and BRST invariance of the underlying pure spinor superstring description. The five- and six-point amplitudes are presented in a manifestly local form where the kinematic dependence is furnished by BRST-covariant expressions in pure spinor superspace. At five points, the local kinematic numerators are shown to satisfy the BCJ duality between color and kinematics leading to supergravity amplitudes as a byproduct. At six points, the sources of the hexagon anomaly are identified in superspace as systematic obstructions to BRST invariance. Our results are expected to reproduce any integrated SYM amplitude in dimensions $D< 8$

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“…where N (6) 1|2,3,4,5,6 ( ) ≡ n (6) 1|2,3,4,5,6 ( ) + n (6) 1|2,3,4,5,6 and all the -dependent part of the local hexagon numerator is represented by n (6) 1|2,3,4,5,6 ( ) ≡…”

Section: Six-point Hexagonmentioning

confidence: 99%

Section: Six-point Hexagonmentioning

confidence: 99%

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Towards one-loop SYM amplitudes from the pure spinor BRST cohomology

2015

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“…In previous papers [1] and [2], a similar purely bosonic classical action was used to derive the pure spinor formalism for the superstring by gauge-fixing a twistor-like constraint. However, unlike these previous papers in which the classical variable λ α was a d=10 pure spinor, the classical variable λ α in this paper will be a projective d=10 pure spinor.…”

Section: Jhep07(2015)091mentioning

confidence: 99%

Origin of the pure spinor and Green-Schwarz formalisms

Berkovits

2015

J. High Energ. Phys.

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The pure spinor formalism for the superstring was recently obtained by gaugefixing a purely bosonic classical action involving a twistor-like constraint ∂x m (γ m λ) α = 0 where λ α is a d=10 pure spinor. This twistor-like constraint replaces the usual Virasoro constraint ∂x m ∂x m = 0, and the Green-Schwarz fermionic spacetime spinor variables θ α arise as Faddeev-Popov ghosts for this constraint.In this paper, the purely bosonic classical action is simplified by replacing the classical d=10 pure spinor λ α with a d=10 projective pure spinor. The pure spinor and GreenSchwarz formalisms for the superparticle and superstring are then obtained as different gauge-fixings of this purely bosonic classical action, and the Green-Schwarz kappa symmetry is directly related to the pure spinor BRST symmetry. Since a d=10 projective pure spinor parameterizes SO (10) U(5) , this action can be interpreted as a standardĉ = 5 topological action where one integrates over the SO(10) U(5) choice of complex structure. Finally, a purely bosonic action for the d=11 supermembrane is proposed which reduces upon doubledimensional reduction to the purely bosonic action for the d=10 Type IIA superstring.

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“…A full "ungauged" description has been presented in [7,8], involving a twistor-like symmetry. A master action was proposed and shown to give rise to the usual pure spinor BRST symmetry or to the Green-Schwarz κ-symmetry [9], depending on the chosen gauge fixing.…”

Section: Jhep12(2015)136mentioning

confidence: 99%

On the field-antifield (a)symmetry of the pure spinor superstring

Jusinskas

2015

J. High Energ. Phys.

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In this work, the DDF-like approach to the pure spinor cohomology is extended to the next ghost number level, the so called antifields. In a direct (supersymmetric) parallel to the bosonic string, some properties of the ghost number two cohomology are derived with the enlargement of the DDF algebra. Also, the DDF conjugates of the b ghost zero mode emerge naturally from the extended algebra and the physical state condition is discussed. Unlike the bosonic string case, the cohomology analysis of the pure spinor b ghost is restricted to BRST-closed states.

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Twistor origin of the superstring

Cited by 18 publications

References 52 publications

Towards one-loop SYM amplitudes from the pure spinor BRST cohomology

Towards one-loop SYM amplitudes from the pure spinor BRST cohomology

Origin of the pure spinor and Green-Schwarz formalisms

On the field-antifield (a)symmetry of the pure spinor superstring

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