Geometry and Physics of Branes
Institute of Physics
Vittorio Gorini, Ugo Moschella, U. Bruzzo
Résumé
Branes are solitonic configurations of a string theory, which 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, they are related to several important theories, such as homological mirror symmetry and quantum cohomology.
This book, based on lectures given to postgraduate students, provides an introduction to current research in some of these different areas, both in physics and mathematics. The book opens with a lucid introduction to the basic aspects of branes in string theory. Topics covered in subsequent chapters include tachyon condensation, the geometry surrounding the Gopakumar-Vafa conjecture (a duality between the SU(N) Chern-Simons theory on S3 and a IIA string theory compactified on a Calabi-Yau 3-fold), two-dimensional conformal field theory on open and unoriented surfaces, and the development of a homology theory naturally attached to the deformations of vector bundles which should be relevant to the study of homological mirror symmetry. The book will be useful for graduate students and for researchers in mathematics and theoretical physics who want to enter this exciting and challenging field.
Contents
I- An elementary introduction to branes in string theory- Introduction
- Branes in string theory
- The boundary state description of D-branes
- The effective action of D-branes
- Classical D-branes from the boundary state
- Two-dimensional conformal field theory on open and unoriented surfaces
- Topics in string tachyon dynamics
- Deformation theory, homological algebra and mirror symmetry
- Large N dualities and transitions in geometry
L'auteur - Vittorio Gorini
Professor Vittorio Gorini
Research interests: Quantum Statistical Mechanics of
Irreversible Processes. Unstable States in Quantum
Mechanics. Group Theoretical Methods in Quantum Physics.
Special and General Relativity. Quantum Theory in Curved
Spacetimes. Professor Gorini has worked in a variety of
subjects in theoretical and mathematical physics. His major
contributions are the classification of the generators of
quantum dynamical semigroups for N-level systems (with
A.Kossakowski and E.C.G.Sudarshan), and the dynamical
characterization of equilibrium states (KMS states) whithin
the algebraic approach to quantum statistical mechanics
(with A.Frigerio and M.Verri). His interests in general
relativity are more recent and are concerned with black
hole solutions and cosmic censorship hypotheses in
Tolman-Bondi spacetimes, and with the reduced dynamics of
quantum fields on curved submanifolds.
L'auteur - Ugo Moschella
Professor Ugo Moschella
1992-1993 and 1994-1996: Research Fellow at CEA--SACLAY,
France
1993-1994: Maitre de Conferences, Universite' de Paris 7,
France
1996: Research Fellow at IHES--Bures-sur-Yvette,
France
Research activity has mainly focused on Quantum Field
Theory. He has made contributions to Gauge Theories, and,
in the last few years, on Quantum Field Theory on curved
spacetimes. In particular he has proposed (with J. Bros, H.
Epstein and al.) an entirely new approach to de Sitter and
Anti-de Sitter QFT based on the analiticity properties of
the correlation functions.
L'auteur - U. Bruzzo
Professor Ugo Bruzzo
His research activity has dealt for a long period on the
theory of supermanifolds, in particular on the global
structure of supermanifolds, and an axiomatic approach to
their theory. On these topics he has written a book in
collaboration with C. Bartocci and D. Hernández Ruipérez
(The geometry of supermanifolds, Kluwer Acad. Publ., 1991).
Later he became interested in the theory of Fourier-Mukai
transforms, giving some contributions to its theory
(Fourier-Mukai transforms on K3 surfaces and on elliptic
varieties). Altogether he has written about 55 papers
published in international journals.
Caractéristiques techniques
| PAPIER | |
| Éditeur(s) | Institute of Physics (IOP) |
| Auteur(s) | Vittorio Gorini, Ugo Moschella, U. Bruzzo |
| Parution | 20/11/2002 |
| Nb. de pages | 292 |
| Format | 16 x 24 |
| Couverture | Relié |
| Poids | 640g |
| Intérieur | Noir et Blanc |
| EAN13 | 9780750308632 |
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