## Strings, branes, and dualitiesAs recent developments have shown, supersymmetric quantum field theory and string theory are intimately related, with advances in one area often shedding light on the other. The organising ideas of most of these advances are the notion of duality and the physics of higher dimensional objects or p-branes. The topics covered in the present volume include duality in field theory, in particular in supersymmetric field theory and supergravity, and in string theory. The Seiberg-Witten theory and its recent developments are also covered in detail. A large fraction of the volume is devoted to the current state of the art in M-theory, in particular its underlying superalgebra as well as its connection with superstring and N = 2 strings. The physics of D-branes and its essential role in the beautiful computation of the black hole entropy is also carefully covered. Finally, the last two sets of lectures are devoted to the exciting matrix approach to non-perturbative string theory. |

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### Contents

VI | 17 |

SUPERSYMMETRY AND DUALITIES | 33 |

SEIBERGWITTEN THEORY AND SDUALITY | 103 |

Copyright | |

23 other sections not shown

### Common terms and phrases

amplitude black hole bosonic boundary brane central charges chiral classical closed string compactification configuration consider coordinates corresponding D-brane D-instanton defined degrees of freedom described dilaton dimensional dual dualised duality dynamics effective action entropy equation factor fermionic field strength field theory fivebrane function gauge field gauge group gauge theory graviton helicity heterotic string Higgs IIA string instanton integral interactions intersection invariant Lagrangian lattice Lett limit loop Lorentz low energy M-theory magnetic charge manifold mass massless matrix theory membrane metric micro-string moduli space momenta momentum monopoles non-perturbative Nucl one-loop open string orbifold parameter particle perturbative Phys physical Polchinski quantized quantum representation scalar fields Seiberg self-dual singularities solitons solution spacetime spectrum spinor string coupling string theory supercharges supermultiplet superstring theory supersymmetry algebra symmetry T-duality torus transformation transverse type IIA U-duality vanish vector multiplet vertex Witten worldsheet worldvolume Yang-Mills