Connections between M-Theory and Superstrings

Green, Michael

doi:10.1007/978-94-011-4730-9_7

Cited by 10 publications

(15 citation statements)

References 36 publications

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“…One might hope that some extrapolation of our approach could shed further light on the discussion of [29]. in other recent studies of non-perturbative contributions to string scattering amplitudes [30][31][32][33] it was suggested that D-particle loops are related via T-duality to D-instanton contributions in IIB string theory. It clearly would be interesting to see if the suggestive formulas obtained in these works can possibly be reproduced via the Matrix string methods developed in this paper.…”

Section: Discussionmentioning

confidence: 84%

High-energy scattering and D-pair creation in Matrix string theory

Giddings¹,

Hacquebord²,

Verlinde³

1999

Nuclear Physics B

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In this paper we use the matrix string approach to begin a study of high energy scattering processes in M-theory. In particular we exhibit an instanton-type configuration in 1+1 super-Yang-Mills theory that can be interpreted as a non-perturbative description of a string interaction. This solution is used to describe high energy processes with nonzero longitudinal momentum exchange, in which an arbitrary number of eigenvalues get transferred between the two scattering states. We describe a direct correspondence between these semi-classical SYM configurations and the Gross-Mende saddle points. We also study in detail the pair production of D-particles via a one-loop calculation which in the 1+1D gauge theory language is described by the (perturbative) transition between states with different electric flux. Finally, we discuss a possible connection between these calculations in which D-particle production gives important corrections to the Gross-Mende process.

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Section: Discussionmentioning

confidence: 84%

High-energy scattering and D-pair creation in Matrix string theory

Giddings¹,

Hacquebord²,

Verlinde³

1999

Nuclear Physics B

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“…where P (2w) denotes an interaction between a set of fields with net U (1) charge 2w and Another interesting IIB amplitude which can be obtained in this way is the amplitude involving four self-dual five-form fieldsF 5 . The eleven dimensional vertex (5.34) gives the amplitude which involves (F 5 ) ilmn8 .…”

Section: Compactification On a Two Torus And Type Iib String Theorymentioning

confidence: 99%

Light-cone quantum mechanics of the eleven-dimensional superparticle

Green¹,

Kwon²,

Gutperle³

1999

J. High Energy Phys.

143

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“…The type IIB dilatino, λ, is identified with the gravitino of eleven-dimensional supergravity with its polarizations in appropriate directions. These calculations and generalizations were reviewed in [64] where some further details may be found, including a discussion of higher derivative contributions (which were also the subject of [22]).…”

Section: The Eleven-dimensional Perspectivementioning

confidence: 99%

“…After extracting the overall kinematic factor the remaining bosonic factor is simply the loop amplitude for the four-point amplitude in scalar φ 3 field theory. The full momentum dependence of this amplitude was discussed in [22,64]. Expanding in a power series in the momenta leads to higher derivatives acting on the fourth power of the curvature.…”

Section: The R 4 Term From One Loop In Eleven Dimensionsmentioning

confidence: 99%

Interconnections between type II superstrings, M theory and N=4 Yang-Mills

Green

Quantum Aspects of Gauge Theories, Supersymmetry and Unification

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These lecture notes 1 begin with a review of the first nonleading contributions to the derivative expansion of the M theory effective action compactified on a two-torus. The form of these higher-derivative interactions is shown to follow from ten-dimensional type IIB supersymmetry as well as from one-loop quantum corrections to classical eleven-dimensional supergravity. The detailed information concerning D-instanton effects encoded in these terms is related to the problem of evaluating the Witten index for N D-particles in the type IIA theory. Using the AdS/CFT conjecture, it also leads to very specific predictions of multi-instanton contributions in N = 4 supersymmetric SU (N ) Yang-Mills theory in the limit of strong 't Hooft coupling.

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Connections between M-Theory and Superstrings

Cited by 10 publications

References 36 publications

High-energy scattering and D-pair creation in Matrix string theory

High-energy scattering and D-pair creation in Matrix string theory

Light-cone quantum mechanics of the eleven-dimensional superparticle

Interconnections between type II superstrings, M theory and N=4 Yang-Mills

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