Equivalence of Two-Loop Superstring Amplitudes in the Pure Spinor and Ramond-Neveu-Schwarz Formalisms

Berkovits, Nathan; Mafra, Carlos R.

doi:10.1103/physrevlett.96.011602

Cited by 108 publications

(161 citation statements)

References 23 publications

(12 reference statements)

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“…, 8) and i, j = 9, 11. The torus metric G ij can be written in the form 16) where the complex structure and volume of the torus are given by Ω = Ω 1 + iΩ 2 and V = R 9 R 11 , where R 9 and R 11 are the radii of its cycles. In the following we will only consider the special cases in which the indices on the polarization tensors and momenta are in the non-compact nine-dimensional directions, 0, 1, .…”

Section: Relation To Type II String Theoriesmentioning

confidence: 99%

Non-renormalisation conditions in type II string theory and maximal supergravity

Green

Russo

Vanhove

2007

J. High Energy Phys.

133

230

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This paper considers general features of the derivative expansion of Feynman diagram contributions to the four-graviton scattering amplitude in eleven-dimensional supergravity compactified on a two-torus. These are translated into statements about interactions of the form D 2k R 4 in type II superstring theories, assuming the standard M-theory/string theory duality relationships, which provide powerful constraints on the effective interactions. In the ten-dimensional IIA limit we find that there can be no perturbative contributions beyond k string loops (for k > 0). Furthermore, the genus h = k contributions are determined exactly by the one-loop eleven-dimensional supergravity amplitude for all values of k. A plausible interpretation of these observations is that the sum of h-loop Feynman diagrams of maximally extended supergravity is less divergent than might be expected and could be ultraviolet finite in dimensions d < 4 + 6/h -the same bound as for N = 4 Yang-Mills.

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Section: Relation To Type II String Theoriesmentioning

confidence: 99%

Non-renormalisation conditions in type II string theory and maximal supergravity

Green

Russo

Vanhove

2007

J. High Energy Phys.

133

230

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“…The two-loop amplitude of four Neveu-Schwarz states was shown to match the Ramond-Neveu-Schwarz one [46].…”

Section: Results and Open Questionsmentioning

confidence: 82%

Superstring perturbation theory

Adam

2009

Gen Relativ Gravit

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The state of superstring perturbation theory is reviewed with an emphasis on the state of the pure spinor superstring perturbation theory. We begin with a brief summary of the state of perturbation theory in the Ramond-Neveu-Schwarz and in the Green-Schwarz formulations of the superstring. Then we proceed to a quick review of the minimal and non-minimal pure spinor formulations of the superstring and discuss the multi-loop amplitude prescriptions in each of them. We end with a summary and open questions.

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“…Due to the feature that it keeps all the spacetime symmetries manifest, the pure spinor formalism provides a very efficient method for computing the scattering amplitudes [4,[10][11][12][13][14]. The equivalence of the pure spinor formalism with RNS and Green-Schwarz formalism has been shown at the level of the BRST cohomology and also through quite a few explicit amplitude computations [15][16][17][18].…”

Section: Jhep01(2018)019mentioning

confidence: 99%

Theta expansion of first massive vertex operator in pure spinor

Chakrabarti

Kashyap

Verma

2018

J. High Energ. Phys.

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Abstract:We provide the covariant superspace equations that are sufficient to determine the complete θ expansion of the vertex operator of the open string massive states with (mass) 2 = 1/α in pure spinor formalism of superstring theory. These equations get rid of the redundant degrees of freedom in superfields and are consistent with the BRST conditions derived in [1]. Further, we give the explicit θ expansion of the superfields appearing in the unintegrated vertex to O(θ 3 ). Finally, we compute the contribution to a 3-point tree amplitude with the resulting vertex operator upto O(θ 3 ) and find its kinematic structure to be identical to the corresponding RNS computation.

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Equivalence of Two-Loop Superstring Amplitudes in the Pure Spinor and Ramond-Neveu-Schwarz Formalisms

Cited by 108 publications

References 23 publications

Non-renormalisation conditions in type II string theory and maximal supergravity

Non-renormalisation conditions in type II string theory and maximal supergravity

Superstring perturbation theory

Theta expansion of first massive vertex operator in pure spinor

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