Progress in string theory : TASI 2003 lecture notes, Boulder, Colorado, USA, 2-27 June 2003 / editor, Juan M. Maldacena.

Format:

Book

Conference/Event

Contributor:

Maldacena, Juan Martín, 1968-

Conference Name:

Theoretical Advanced Study Institute in Elementary Particle Physics (2003 : Boulder, Colo.)

Language:

English

Subjects (All):

String models--Congresses.

String models.

Microphysics--Congresses.

Microphysics.

Physical Description:

1 online resource (571 p.)

Other Title:

TASI 2003 lecture notes

Place of Publication:

Hackensack, N.J. : World Scientific, c2005.

Language Note:

English

Summary:

Intended mainly for advanced graduate students in theoretical physics, this comprehensive volume covers recent advances in string theory and field theory dualities. It is based on the annual lectures given at the School of the Theoretical Advanced Study Institute (2003) a traditional event that brings together graduate students in high energy physics for an intensive course given by leaders in their fields.The first lecture by Paul Aspinwall is a description of branes in Calabi-Yau manifolds, which includes an introduction to the modern ideas of derived categories and their relation to D-brane

Contents:

Foreword; CONTENTS; D-Branes on Calabi-Yau Manifolds; 1 Introduction; 2 Worldsheet Models of Closed Strings; 2.1 The N = (2 2) non-linear o-model; 2.2 The A model; 2.3 The B model; 2.4 Mirror symmetry; 3 Boundaries; 3.1 The A-model; 3.1.1 A-branes; 3.1.2 Open strings for one A-brane; 3.1.3 Open strings for many A-branes; 3.2 The B-model; 3.2.1 B-branes; 3.2.2 Open strings for B-branes; 3.2.3 A failure of mirror symmetry; 4 Some Mathematical Tools; 4.1 Categories of sheaves; 4.1.1 Holomorphic functions; 4.1.2 Sheaves; 4.1.3 Locally free sheaves; 4.1.4 Kernels and cokernels

4.1.5 Abelian categories4.1.6 Coherent sheaves; 4.2 Cohomology; 4.2.1 Cech cohomology; 4.2.2 Spectral sequences; 4.2.3 Dolbeault cohomology; 4.2.4 Sheaf cohomology; 5 The Category of B-branes; 5.1 Deformations and complexes; 5.2 Open strings; 5.3 The derived category; 5.4 Coherent sheaves; 5.5 More deformations; 5.6 Anti-branes and K-theory; 5.7 Mirror symmetry restored?; 6 Stability; 6.1 A-branes; 6.1.1 Special Lagrangians; 6.1.2 A geometrical decay; 6.1.3 Tachyon condensates; 6.2 B-branes; 6.2.1 Triangles; 6.2.2 Categorical mirror symmetry at last; 6.2.3 II-stability; 6.2.4 Multiple decays

6.2.5 u-stability7 Applications; 7.1 The quintic threefold; 7.1.1 Periods; 7.1.2 4-branes; 7.1.3 Exotic B-branes; 7.1.4 Monodromy; 7.2 Flops; 7.3 Orbifolds; 7.3.1 The McKay correspondence; 7.3.2 The Douglas-Moore construction; 7.3.3 0-stability; 7.3.4 Periods; 7.3.5 Monodromy; 7.3.6 Examples of stability; 8 Conclusion; References; Lectures on AdS/CFT; 1 Introduction; 2 Large N; 2.1 Large N for vector theories; 2.2 Matrix theories; 2.3 Large N correlators; 3 Guessing the String Theory; 3.1 Conformal symmetry; 3.2 Isometries of AdS; 3.3 Mapping of states and operators

3.4 N = 4 U(N) Yang-Mills and strings on AdS5 x S53.5 IIB strings on AdS5 x S5; 3.6 N=4 YM is the same as IIB on 4dS5XS5; 4 Establishing the Dictionary; 4.1 Correlation functions; 4.2 Various remarks; 4.3 Physics of the warp factor; 5 Thermal Aspects; 5.1 Wilson loops; 6 Confining Theories; 6.1 Confinement-deconfinement transition; 6.2 Remarks about more general field theories; 6.3 D-branes in the bulk; 7 The Plane Wave Limit of AdS/CFT; 7.1 Plane waves; 7.2 Type IIB supergravity plane wave; 7.3 Type IIB plane wave from AdS5 x S5; 7.4 The ""plane wave"" limit in gauge theory variables

7.5 Strings from N=4 super Yang-MillsReferences; Tachyon Dynamics in Open String Theory; 1 Introduction; 1.1 Motivation; 1.2 Organisation of the review; 2 Review of Main Results; 2.1 Static solutions in superstring theory; 2.2 Time dependent solutions in superstring theory; 2.3 Static and time dependent solutions in bosonic string theory; 2.4 Coupling to closed strings and the open string completeness conjecture; 3 Conformal Field Theory Methods; 3.1 Bosonic string theory; 3.2 Superstring theory; 3.3 Analysis of the boundary state; 4 Open String Field Theory

4.1 First quantized open bosonic string theory

Notes:

Description based upon print version of record.

Includes bibliographical references.

ISBN:

9786611927912

9781281927910

1281927910

9789812775108

9812775102