Geometry and physics of branes

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Geometry and physics of branes / edited by Ugo Bruzzo, Vittorio Gorini and Ugo Moschella

資料種別:

図書

出版情報:

Bristol ; Philadelphia : Institute of Physics Pub., c2003

形態:

x, 282 p. ; 25 cm

シリーズ名:

Studies in high energy physics, cosmology and gravitation <BA38374051>

著者名:

ISBN:

9780750308632 [075030863X]

書誌ID:

BA59737980

子書誌情報

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書誌詳細

注記:

Includes bibliographical references (p. 274-278) and index

言語:

英語

目次情報:

Preface

An elementary introduction to branes in string theory / Alberto LerdaPart 1：

Introduction / 1：

Branes in string theory / 2：

The superstring effective actions of type II / 2.1：

Type IIA / 2.1.1：

Type IIB / 2.1.2：

General construction / 2.2：

Explicit solutions / 2.3：

Fundamental string / 2.3.1：

NS 5-brane / 2.3.2：

D p-branes / 2.3.3：

The geometry of the D3-brane of type IIB / 2.3.4：

The boundary state description of D-branes / 3：

The boundary state with an external field / 3.1：

The effective action of D-branes / 4：

Classical D-branes from the boundary state / 5：

References

Physical aspects / Yassen Stanev ; Cesar Gomez ; Pedro RescoPart 2：

Two-dimensional conformal field theory on open and unoriented surfaces / 6：

General properties of two-dimensional CFT / 6.1：

The stress-energy tensor in two dimensions / 6.2.1：

Rational conformal field theories / 6.2.2：

Non-Abelian conformal current algebras / 6.2.3：

Partition function, modular invariance / 6.2.4：

Correlation functions in current algebra models / 6.3：

Properties of the chiral conformal blocks / 6.3.1：

Regular basis of 4-point functions in the SU (2) model / 6.3.2：

Matrix representation of the exchange algebra / 6.3.3：

Two-dimensional braid invariant Green functions / 6.3.4：

CFT on surfaces with holes and crosscaps / 6.4：

Open sector, sewing constraints / 6.4.1：

Closed unoriented sector, crosscap constraint / 6.4.2：

Partition functions / 6.5：

Klein bottle projection / 6.5.1：

Annulus partition function / 6.5.2：

Mobius strip projection / 6.5.3：

Solutions for the partition functions / 6.5.4：

Acknowledgments

Topics in string tachyon dynamics / 7：

Why tachyons? / 7.1：

Tachyons in AdS: The c = 1 barrier / 7.3：

Tachyon [sigma]-model beta-functions / 7.4：

Open strings and cosmological constant: the Fischler-Susskind mechanism / 7.5：

Fischler-Susskind mechanism: closed-string case / 7.5.1：

Open-string contribution to the cosmological constant: the filling brane / 7.5.2：

The effective action / 7.6：

A warming-up exercise / 7.6.1：

Non-critical dimension and tachyon condensation / 7.6.2：

D-branes, tachyon condensation and K-theory / 7.7：

Extended objects and topological stability / 7.7.1：

A gauge theory analogue for D-branes in type II strings / 7.7.2：

K-theory version of Sen's conjecture / 7.7.3：

Type IIA strings / 7.7.4：

Some final comments on gauge theories / 7.8：

Mathematical developments / Kenji Fukaya ; Antonella Grassi ; Michele RossiPart 3：

Deformation theory, homological algebra and mirror symmetry / 8：

Classical deformation theory / 8.1：

Holomorphic structure on vector bundles / 8.2.1：

Families of holomorphic structures on vector bundles / 8.2.2：

Cohomology and deformations / 8.2.3：

Bundle valued harmonic forms / 8.2.4：

Construction of a versal family and Feynman diagrams / 8.2.5：

The Kuranishi family / 8.2.6：

Formal deformations / 8.2.7：

Homological algebra and deformation theory / 8.3：

Homotopy theory of A[subscript infinity] and L[subscript infinity] algebras / 8.3.1：

Maurer-Cartan equation and moduli functors / 8.3.2：

Canonical model, Kuranishi map and moduli space / 8.3.3：

Superspace and odd vector fields--an alternative formulation of L[subscript infinity] algebras / 8.3.4：

Application to mirror symmetry / 8.4：

Novikov rings and filtered A[subscript infinity], L[subscript infinity] algebras / 8.4.1：

Review of a part of global symplectic geometry / 8.4.2：

From Lagrangian submanifold to A[subscript infinity] algebra / 8.4.3：

Maurer-Cartan equation for filtered A[subscript infinity] algebras / 8.4.4：

Homological mirror symmetry / 8.4.5：

Large N dualities and transitions in geometry / 9：

Geometry and topology of transitions / 9.1：

The local topology of a conifold transition / 9.1.1：

Transitions of Calabi-Yau threefolds / 9.1.2：

Transitions and mirror symmetry / 9.1.3：

Transitions, black holes etc / 9.1.4：

Chern-Simons theory / 9.2：

Chern-Simons' form and action / 9.2.1：

The Hamiltonian formulation of the Chern-Simons QFT (following Witten's canonical quantization) / 9.2.2：

Computability and link invariants / 9.2.3：

The Gopakumar-Vafa conjecture / 9.3：

Matching the free energies / 9.3.1：

The matching of expectation values / 9.3.2：

Lifting to M-theory / 9.4：

Riemannian Holonomy, G[subscript 2] manifolds and Calabi-Yau, revisited / 9.4.1：

The geometry / 9.4.2：

Branes and M-theory lifts / 9.4.3：

M-theory lift and M-theory flop / 9.4.4：

Appendix: Some notation on singularities and their resolutions / 9.5：

Appendix: More on the Greene-Plesser construction / 9.6：

Appendix: More on transitions in superstring theory / 9.7：

Appendix: Principal bundles, connections etc / 9.8：

Appendix: More on Witten's open-string theory interpretation of QFT / 9.9：

Index

Preface

An elementary introduction to branes in string theory / Alberto LerdaPart 1：

Introduction / 1：

Branes in string theory / 2：

The superstring effective actions of type II / 2.1：

Type IIA / 2.1.1：

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