Chiral splitting and world-sheet gravitinos in higher-derivative string amplitudes

Peeters, Kasper; Vanhove, Pierre; Westerberg, Anders

doi:10.1088/0264-9381/19/10/312

Cited by 47 publications

(111 citation statements)

References 22 publications

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“…In going to quintic, or higher, order of interactions these nonlinear effects can no longer be ignored. This was explicitly verified by the authors of [29], who observed that the linearized superfield cannot reproduce the R 2 H 3 terms in the string-theory effective action.…”

Section: The Linearized Superfieldmentioning

confidence: 70%

R ⁴ , purified

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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Section: The Linearized Superfieldmentioning

confidence: 70%

R ⁴ , purified

Policastro¹,

Tsimpis²

2006

Class. Quantum Grav.

104

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“…As we have pointed out in [19], these terms sometimes result in additional contributions to the amplitude. In the present situation, however, worldsheet gravitino terms are harmless.…”

Section: Introductionmentioning

confidence: 87%

The Ramond–Ramond sector of string theory beyond leading order

Peeters¹,

Westerberg²

2004

Class. Quantum Grav.

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Present knowledge of higher-derivative terms in string effective actions is, with a few exceptions, restricted to the NS-NS sector, a situation which prevents the development of a variety of interesting applications for which the RR terms are relevant. We here provide the formalism as well as efficient techniques to determine the latter directly from string-amplitude calculations. As an illustration of these methods, we compute the dependence of the type-IIB action on the three-and five-form RR field strengths at four-point, genus-one, order-(α ′ ) 3 level. We explicitly verify that our results are in accord with the SL(2, ) S-duality invariance of type-IIB string theory. Extensions of our method to other bosonic terms in the type-II effective actions are discussed as well.

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“…As argued in 3 Representations of the Lorentz group Spin(1,10) are specified with standard Dynkin labels, where (10000) is the vector and (00001) the spinor. Note that only the representations relevant for the conventional constraints are explicitly displayed.…”

Section: Implementation Of the Conventional Constraintsmentioning

confidence: 99%

Supersymmetric corrections to eleven-dimensional supergravity

Cederwall

Gran

Nilsson

et al. 2005

J. High Energy Phys.

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In this paper we study eleven-dimensional supergravity in its most general form. This is done by implementing manifest supersymmetry (and Lorentz invariance) through the use of the geometric (torsion and curvature) superspace Bianchi identities. These identities are solved to linear order in a deformation parameter introduced via the dimension zero supertorsion given in its most general form. The theory so obtained is referred to as the deformed theory (to avoid the previously used term "off-shell"). An important by-product of this result is that any higher derivative correction to ordinary supergravity of the same dimension as R 4 , but not necessarily containing it, derived e.g. from M-theory, must appear in a form compatible with the equations obtained here. Unfortunately we have not yet much to say about the explicit structure of these corrections in terms of the fields in the massless supermultiplet. Our results are potentially powerful since if the dimension zero torsion could be derived by other means, our reformulation of the Bianchi identities as a number of algebraic relations implies that the full theory would be known to first order in the deformation, including the dynamics. We mention briefly some methods to derive the information needed to obtain explicit answers both in the context of supergravity and ten-dimensional super-Yang-Mills where the situation is better understood. Other relevant aspects like spinorial cohomology, the role of the 3-and 6-form potentials and the connection of these results to M2 and M5 branes are also commented upon.

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Chiral splitting and world-sheet gravitinos in higher-derivative string amplitudes

Cited by 47 publications

References 22 publications

R ⁴ , purified

R ⁴ , purified

The Ramond–Ramond sector of string theory beyond leading order

Supersymmetric corrections to eleven-dimensional supergravity

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Chiral splitting and world-sheet gravitinos in higher-derivative string amplitudes

Cited by 47 publications

References 22 publications

R 4 , purified

R 4 , purified

The Ramond–Ramond sector of string theory beyond leading order

Supersymmetric corrections to eleven-dimensional supergravity

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