Geometry and Physics of Branes

Geometry and Physics of Branes
Author: U Bruzzo
Publisher: CRC Press
Total Pages: 232
Release: 2002-11-05
Genre: Science
ISBN: 1000687694

Branes are solitonic configurations of a string theory that are represented by extended objects in a higher-dimensional space-time. They are essential for a comprehension of the non-perturbative aspects of string theory, in particular, in connection with string dualities. From the mathematical viewpoint, branes are related to several important theo

Dirichlet Branes and Mirror Symmetry

Dirichlet Branes and Mirror Symmetry
Author:
Publisher: American Mathematical Soc.
Total Pages: 698
Release: 2009
Genre: Mathematics
ISBN: 0821838482

Research in string theory has generated a rich interaction with algebraic geometry, with exciting work that includes the Strominger-Yau-Zaslow conjecture. This monograph builds on lectures at the 2002 Clay School on Geometry and String Theory that sought to bridge the gap between the languages of string theory and algebraic geometry.

D-Branes

D-Branes
Author: Clifford V. Johnson
Publisher: Cambridge University Press
Total Pages: 580
Release: 2006-11-02
Genre: Mathematics
ISBN: 9780521030052

Self-contained and pedagogical introduction to key string theory ideas and techniques needed to understand D-branes.

Strings and Geometry

Strings and Geometry
Author: Clay Mathematics Institute. Summer School
Publisher: American Mathematical Soc.
Total Pages: 396
Release: 2004
Genre: Mathematics
ISBN: 9780821837153

Contains selection of expository and research article by lecturers at the school. Highlights current interests of researchers working at the interface between string theory and algebraic supergravity, supersymmetry, D-branes, the McKay correspondence andFourer-Mukai transform.

Introduction to Strings and Branes

Introduction to Strings and Branes
Author: Peter West
Publisher: Cambridge University Press
Total Pages: 723
Release: 2012-07-05
Genre: Science
ISBN: 0521817471

Detailed, step-by-step introduction to the theoretical foundations of strings and branes, essential reading for graduate students and researchers.

Boundary Conformal Field Theory and the Worldsheet Approach to D-Branes

Boundary Conformal Field Theory and the Worldsheet Approach to D-Branes
Author: Andreas Recknagel
Publisher: Cambridge University Press
Total Pages: 349
Release: 2013-11-28
Genre: Science
ISBN: 1107511801

Boundary conformal field theory is concerned with a class of two-dimensional quantum field theories which display a rich mathematical structure and have many applications ranging from string theory to condensed matter physics. In particular, the framework allows discussion of strings and branes directly at the quantum level. Written by internationally renowned experts, this comprehensive introduction to boundary conformal field theory reaches from theoretical foundations to recent developments, with an emphasis on the algebraic treatment of string backgrounds. Topics covered include basic concepts in conformal field theory with and without boundaries, the mathematical description of strings and D-branes, and the geometry of strongly curved spacetime. The book offers insights into string geometry that go beyond classical notions. Describing the theory from basic concepts, and providing numerous worked examples from conformal field theory and string theory, this reference is of interest to graduate students and researchers in physics and mathematics.

M-Theory and Quantum Geometry

M-Theory and Quantum Geometry
Author: Lárus Thorlacius
Publisher: Springer Science & Business Media
Total Pages: 476
Release: 2000-09-30
Genre: Mathematics
ISBN: 9780792364757

Papers from an August 1999 NATO Advanced Study Institute held in Iceland report on recent advances in superstring theory, which is the leading candidate for a unified description of all known elementary particles and interactions. Chapters examine D-branes in string theory, moduli spaces of Calaba-Yau compactifications, the matrix model of M-theory, the holographic principle, Born-Infeld actions and D-brane physics, superconformal quantum mechanics and multi-black hole moduli spaces, large-N gauge theories, random surfaces, and Lorentzian and Euclidean quantum gravity. The editors are affiliated with the Science Institute of the University of Iceland. Annotation copyrighted by Book News, Inc., Portland, OR

Geometry and Physics of Branes

Geometry and Physics of Branes
Author: U Bruzzo
Publisher: CRC Press
Total Pages: 282
Release: 2002-11-05
Genre: Science
ISBN: 1420034294

Branes are solitonic configurations of a string theory that are represented by extended objects in a higher-dimensional space-time. They are essential for a comprehension of the non-perturbative aspects of string theory, in particular, in connection with string dualities. From the mathematical viewpoint, branes are related to several important theo

Operators, Geometry and Quanta

Operators, Geometry and Quanta
Author: Dmitri Fursaev
Publisher: Springer Science & Business Media
Total Pages: 294
Release: 2011-06-25
Genre: Science
ISBN: 9400702051

This book gives a detailed and self-contained introduction into the theory of spectral functions, with an emphasis on their applications to quantum field theory. All methods are illustrated with applications to specific physical problems from the forefront of current research, such as finite-temperature field theory, D-branes, quantum solitons and noncommutativity. In the first part of the book, necessary background information on differential geometry and quantization, including less standard material, is collected. The second part of the book contains a detailed description of main spectral functions and methods of their calculation. In the third part, the theory is applied to several examples (D-branes, quantum solitons, anomalies, noncommutativity). This book addresses advanced graduate students and researchers in mathematical physics with basic knowledge of quantum field theory and differential geometry. The aim is to prepare readers to use spectral functions in their own research, in particular in relation to heat kernels and zeta functions.

Geometry and Physics: Volume I

Geometry and Physics: Volume I
Author: Jørgen Ellegaard Andersen
Publisher: Oxford University Press
Total Pages: 400
Release: 2018-10-18
Genre: Mathematics
ISBN: 0192522361

Nigel Hitchin is one of the world's foremost figures in the fields of differential and algebraic geometry and their relations with mathematical physics, and he has been Savilian Professor of Geometry at Oxford since 1997. Geometry and Physics: A Festschrift in honour of Nigel Hitchin contain the proceedings of the conferences held in September 2016 in Aarhus, Oxford, and Madrid to mark Nigel Hitchin's 70th birthday, and to honour his far-reaching contributions to geometry and mathematical physics. These texts contain 29 articles by contributors to the conference and other distinguished mathematicians working in related areas, including three Fields Medallists. The articles cover a broad range of topics in differential, algebraic and symplectic geometry, and also in mathematical physics. These volumes will be of interest to researchers and graduate students in geometry and mathematical physics.