Supersymmetrization of ζ(3)(Rμvϱσ)4 in superstring theories

Nilsson, Bengt E. W.; Tollstén, A.K.

doi:10.1016/0370-2693(86)91255-4

Cited by 46 publications

(44 citation statements)

References 27 publications

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“…In this context, let us also mention that for the N = 1 case in ten dimensions a supersymmetric extension of t 8 t 8 R 4 written as an integral over the sixteen spinorial superspace coordinates has been given by Nilsson and Tollstén [79] and Kallosh [80]. Indeed, we have verified by an explicit covariant calculation that the trace-free version of (B.…”

Section: B2 Riemann Tensor Polynomials and The T 8 Tensorsupporting

confidence: 53%

Supersymmetric higher-derivative actions in 10 and 11 dimensions, the associated superalgebras and their formulation in superspace

Peeters

Vanhove

Westerberg³

2001

Class. Quantum Grav.

125

212

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Higher-derivative terms in the string and M-theory effective actions are strongly constrained by supersymmetry. Using a mixture of techniques, involving both stringamplitude calculations and an analysis of supersymmetry requirements, we determine the supersymmetric completion of the R 4 action in eleven dimensions to second order in the fermions, in a form compact enough for explicit further calculations. Using these results, we obtain the modifications to the field transformation rules and determine the resulting field-dependent modifications to the coefficients in the supersymmetry algebra. We then make the link to the superspace formulation of the theory and discuss the mechanism by which higher-derivative interactions lead to modifications to the supertorsion constraints. For the particular interactions under discussion we find that no such modifications are induced.

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Section: B2 Riemann Tensor Polynomials and The T 8 Tensorsupporting

confidence: 53%

Supersymmetric higher-derivative actions in 10 and 11 dimensions, the associated superalgebras and their formulation in superspace

Peeters

Vanhove

Westerberg³

2001

Class. Quantum Grav.

125

212

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“…We introduce then the standard decomposition similar to that given in (5.69) 35) where σ are Lie algebra matrices and we define a superspace 4-point amplitude by relation 3, 4 | T (4) |1, 2 = (2π) 9 δ 10,4 A (4) (7.36) in which δ 10,4 -function is an analog of (5.73). These relations lead to the following 4-point amplitude…”

Section: )mentioning

confidence: 99%

Eleven dimensional supergravity in light cone gauge

Metsaev

2005

Phys. Rev. D

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Light-cone gauge manifestly supersymmetric formulation of eleven dimensional supergravity is developed. The formulation is given entirely in terms of light cone scalar superfield, allowing us to treat all component fields on an equal footing. All higher derivative on mass shell manifestly supersymmetric 4-point functions invariant with respect to linear supersymmetry transformations and corresponding (in gravitational bosonic sector) to terms constructed from four Riemann tensors and derivatives are found. Superspace representation for 4-point scattering amplitudes is also obtained. Superfield representation of linearized interaction vertex of superparticle and supergravity fields is presented. All 4-point higher derivative interaction vertices of ten-dimensional supersymmetric Yang-Mills theory are also determined.

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“…the integral over half the superspace) of the fourth power of the linearized scalar superfield of [31]. Unfortunately, the complete component form of the action is somewhat tedious to extract, although it is known to reproduce the t 8 t 8 R 4 part of the Lagrangian [32]. An interesting diagrammatic technique to perform the superspace integral has recently been proposed in [33].…”

Section: Introductionmentioning

confidence: 99%

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Policastro¹,

Tsimpis²

2006

Class. Quantum Grav.

104

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We derive, using the pure-spinor formalism, the complete -including the fermions -fourpoint effective action of both type II superstrings to all orders in α ′ , at tree level in string loops. We find that, in the quartic-field approximation, the supergravity Lagrangian can be thought of as the tensor product, in a suitable sense, of two copies of the superYang-Mills Lagrangian in ten dimensions. The NS-NS three-form enters the supergravity Lagrangian through a modified connection with torsion. As a byproduct, we derive the complete, i.e. to all orders in the θ-expansion, closed-string vertex operator in a flat target-space background.

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Supersymmetrization of ζ(3)(Rμvϱσ)4 in superstring theories

Cited by 46 publications

References 27 publications

Supersymmetric higher-derivative actions in 10 and 11 dimensions, the associated superalgebras and their formulation in superspace

Supersymmetric higher-derivative actions in 10 and 11 dimensions, the associated superalgebras and their formulation in superspace

Eleven dimensional supergravity in light cone gauge

R ⁴ , purified

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Supersymmetrization of ζ(3)(Rμvϱσ)4 in superstring theories

Cited by 46 publications

References 27 publications

Supersymmetric higher-derivative actions in 10 and 11 dimensions, the associated superalgebras and their formulation in superspace

Supersymmetric higher-derivative actions in 10 and 11 dimensions, the associated superalgebras and their formulation in superspace

Eleven dimensional supergravity in light cone gauge

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