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The Cargese Summer School "Low Dimensional Applications of Quantum
Field Theory" was held in July 1995. The School was dedicated to
the memory of Claude Itzykson. This session focused on the recent
progress in quantum field theory in two dimen sions with a
particular emphasis on integrable models and applications of
quantum field theory to condensed matter physics. A large fraction
of the school was also devoted to a detailed review of the exciting
developments in four dimensional super symmetric Yang-Mills theory.
The diversity of the topics presented constitute, in our opinion,
one of the most attractive features of these proceedings. Some
contributions constitute a very thor ough introduction to their
subject matter and should be helpful to advanced students in the
field while others present entirely new research, not previously
published, and should be of considerable interest to the
specialist. There were in depth introductory lectures on the
application of conformal field theory techniques to disordered
systems, on the quantum Hall effect, on quantum in tegrable
systems, on the thermodynamic Bethe Ansatz and on the new
developments in supersymmetric gauges theories. The computation of
the three point function of the Liouville model using conformal
bootstrap methods was presented in detail."
As 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.
Recent developments in supersymmetric field theory, string theory,
and brane theory have been revolutionary. The main focus of the
present volume is developments of M-theory and its applications to
superstring theory, quantum gravity, and the theory of elementary
particles. Topics included are D-branes, boundary states, and world
volume solitons. Anti-De-Sitter quantum field theory is explained,
emphasising the way it can enforce the holography principle,
together with the relation to black hole physics and the way Branes
provide the microscopic interpretation for the entropy of black
holes. Developments in D-branes within type-I superstring and
related theories are described. There are also possible
phenomenological implications of superstring theory that would lie
within the range of quantum gravity effects in the future
generation of accelerators, around 1 TeV.
Recent developments in supersymmetric field theory, string theory,
and brane theory have been revolutionary. The main focus of the
present volume is developments of M-theory and its applications to
superstring theory, quantum gravity, and the theory of elementary
particles. Topics included are D-branes, boundary states, and world
volume solitons. Anti-De-Sitter quantum field theory is explained,
emphasising the way it can enforce the holography principle,
together with the relation to black hole physics and the way Branes
provide the microscopic interpretation for the entropy of black
holes. Developments in D-branes within type-I superstring and
related theories are described. There are also possible
phenomenological implications of superstring theory that would lie
within the range of quantum gravity effects in the future
generation of accelerators, around 1 TeV.
The Cargese Summer School "Low Dimensional Applications of Quantum
Field Theory" was held in July 1995. The School was dedicated to
the memory of Claude Itzykson. This session focused on the recent
progress in quantum field theory in two dimen sions with a
particular emphasis on integrable models and applications of
quantum field theory to condensed matter physics. A large fraction
of the school was also devoted to a detailed review of the exciting
developments in four dimensional super symmetric Yang-Mills theory.
The diversity of the topics presented constitute, in our opinion,
one of the most attractive features of these proceedings. Some
contributions constitute a very thor ough introduction to their
subject matter and should be helpful to advanced students in the
field while others present entirely new research, not previously
published, and should be of considerable interest to the
specialist. There were in depth introductory lectures on the
application of conformal field theory techniques to disordered
systems, on the quantum Hall effect, on quantum in tegrable
systems, on the thermodynamic Bethe Ansatz and on the new
developments in supersymmetric gauges theories. The computation of
the three point function of the Liouville model using conformal
bootstrap methods was presented in detail."
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