Titlebook: Quantum Field Theory: Perspective and Prospective; Cécile DeWitt-Morette,Jean-Bernard Zuber Book 1999 Springer Science+Business Media Dord

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BPS Branes in Supergravity,l Kaluza-Klein reduction families; multiple-charge solutions and the four . = 11 elements; duality-symmetry multiplets; charge quantisation; low-velocity scattering and the geometry of worldvolume supersymmetric σ-models; and the target-space geometry of BPS instanton solutions obtained by the dimensional reduction of static .-branes.

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Quantized Branes and Symmetries of String Theory,string (onebrane) partition functions. This is a first step in describing the analog of unitarity of perturbative string theory for brane physics. It also shows that higher automorphic forms as well as .(2, .) modular functions can be explicitly constructed in brane theories, and may play a central role in their quantization.

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Renormalization and Renormalization Group: From the Discovery of UV Divergences to the Concept of Eming both from particle physics and condensed matter, which can be grouped under the general name of ., finally suggested that renormalizable field theories should be understood as low energy .. We briefly review here the chain of ideas which led to this new and more consistent picture.

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Correlation Functions Through Variational Methods,heory. Thermodynamic potentials, expectation values of observables, two-time and multi-time functions can be derived therefrom. Basic tools are the backward Heisenberg equation and a general method for building variational principles. The use of an independent-particle trial space leads for many-fer

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,Reader’s Guide to String Duality and Matrix Theory, new two volume work by J. Polchinski, also published by Cambridge, is more up to date, and has much more material relevant to M theory and String Duality. The important things to understand from these references are the connection of two dimensional (super) conformal field theories with the Feynman