methods

http://inspirehep.net/record/499969/files/arXiv:hep-th_9905111.pdf

Supergravities in 5 Dimensions

Large N Field Theories, String Theory and Gravity

U duality and M theory

We review the holographic correspondence between "eld theories and string/M theory, focusing on the relation between compacti"cations of string/M theory on Anti-de Sitter spaces and conformal "eld theories. We review the background for this correspondence and discuss its motivations and the evidence for its correctness. We describe the main results that have been derived from the correspondence in the regime that the "eld theory is approximated by classical or semiclassical gravity. We focus on the case of the N"4 supersymmetric gauge theory in four dimensions, but we discuss also "eld theories in other dimensions, conformal and non-conformal, with or without supersymmetry, and in particular the relation to QCD. We also discuss some implications for black hole physics. ( 2000 Elsevier Science B.V. All rights reserved. PACS: 04.65.#e; 11.15.!q; 11.25.!w; 11.30.Pb; 12.38.!t

/pdf/large-n-field-theories-string-theory-and-gravity-1kug5wi7zu.pdf

http://cds.cern.ch/record/336300/files/9710119.pdf

Dualisation of dualities

We present the details of the recently constructed ${\mathrm{E}}_{6(6)}$-covariant extension of 11-dimensional supergravity. This theory requires a $5+27$-dimensional spacetime in which the ``internal'' coordinates transform in the $\overline{\mathbf{27}}$ of ${\mathrm{E}}_{6(6)}$. All fields are ${\mathrm{E}}_{6(6)}$ tensors and transform under (gauged) internal generalized diffeomorphisms. The ``Kaluza-Klein'' vector field acts as a gauge field for the ${\mathrm{E}}_{6(6)}$-covariant ``E-bracket'' rather than a Lie bracket, requiring the presence of 2-forms akin to the tensor hierarchy of gauged supergravity. We construct the complete and unique action that is gauge invariant under generalized diffeomorphisms in the internal and external coordinates. The theory is subject to covariant section constraints on the derivatives, implying that only a subset of the extra 27 coordinates is physical. We give two solutions of the section constraints: the first preserves GL(6) and embeds the action of the complete (i.e. untruncated) 11-dimensional supergravity; the second preserves $\text{GL}(5)\ifmmode\times\else\texttimes\fi{}\text{SL}(2)$ and embeds complete type IIB supergravity. As a byproduct, we thus obtain an off-shell action for type IIB supergravity.

/pdf/exceptional-field-theory-i-e-6-6-covariant-form-of-m-theory-4gkcrwezft.pdf

Supergravities in 5 Dimensions

Citations

Large N Field Theories, String Theory and Gravity

U duality and M theory

Large N Field Theories, String Theory and Gravity

Dualisation of dualities

Exceptional Field Theory I: $E_{6(6)}$ covariant Form of M-Theory and Type IIB

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