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STRING THEORY AND GAUGE THEORY

Marcos Mariño

in Chern-Simons Theory, Matrix Models, and Topological Strings

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198568490
eISBN:
9780191717604
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198568490.003.0006
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter examines the relationship between gauge theories and topological strings. A precise correspondence between string theory and gauge theory was formulated by 't Hooft (1974), who used as a ... More


Chern-Simons Theory, Matrix Models, and Topological Strings

Marcos Mariño

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198568490
eISBN:
9780191717604
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198568490.001.0001
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

In recent years, the old idea that gauge theories and string theories are equivalent has been implemented and developed in various ways, and there are by now various models where the string ... More


The Case for Background Independence

Lee Smolin

in The Structural Foundations of Quantum Gravity

Published in print:
2006
Published Online:
October 2011
ISBN:
9780199269693
eISBN:
9780191699436
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199269693.003.0007
Subject:
Philosophy, Philosophy of Science

This chapter explains the arguments behind the assertion that the correct quantum theory of gravity must be background independent. It begins by recounting how the debate over whether quantum gravity ... More


Afterword: Implications of Dōgen's Mahāyāna Worldview

Taigen Dan Leighton

in Visions of Awakening Space and Time: D=ogen and the Lotus Sutra

Published in print:
2007
Published Online:
May 2007
ISBN:
9780195320930
eISBN:
9780199785360
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195320930.003.0006
Subject:
Religion, Buddhism

This Afterword speculates about the potential implications of Dōgen's Mahāyāna worldview to contemporary 21st-century concerns. These include making parallels to modern cutting-edge physics and ... More


STRING FIELD THEORY AND GAUGE THEORIES

Marcos Mariño

in Chern-Simons Theory, Matrix Models, and Topological Strings

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198568490
eISBN:
9780191717604
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198568490.003.0007
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter shows that both Chern-Simons gauge theories and matrix models with polynomial potentials can be realized as open string theories. To show that Chern-Simons theory and matrix models with ... More


Quantum Gravity: Third Edition

Claus Kiefer

Published in print:
2012
Published Online:
May 2012
ISBN:
9780199585205
eISBN:
9780191739378
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199585205.001.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This book is concerned with the attempts to unify Einstein's theory of general relativity and quantum theory into a theory of quantum gravity. It presents, for the first time, most of the approaches ... More


String theory

Claus Kiefer

in Quantum Gravity: Third Edition

Published in print:
2012
Published Online:
May 2012
ISBN:
9780199585205
eISBN:
9780191739378
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199585205.003.0009
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter discusses at length the quantum gravitational aspects of string theory. After a general introduction which includes the emergence of the graviton for the free string, the Polyakov path ... More


TOPOLOGICAL STRINGS

Marcos Mariño

in Chern-Simons Theory, Matrix Models, and Topological Strings

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198568490
eISBN:
9780191717604
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198568490.003.0004
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

Type-A and type-B topological sigma models are two topological field theories in two dimensions. Although they contain a lot of information in genus 0, they turn out to be trivial for g > 1. This is ... More


TWO-DIMENSIONAL FIELD THEORY AND BOSONIZATION

Kazuo Fujikawa and Hiroshi Suzuki

in Path Integrals and Quantum Anomalies

Published in print:
2004
Published Online:
September 2007
ISBN:
9780198529132
eISBN:
9780191712821
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198529132.003.0008
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter discusses the quantum anomalies in two-dimensional field theory. Two-dimensional field theory is important in connection with conformal field theory and its applications to string theory ... More


TOPOLOGICAL SIGMA MODELS

Marcos Mariño

in Chern-Simons Theory, Matrix Models, and Topological Strings

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198568490
eISBN:
9780191717604
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198568490.003.0003
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

String theory can be regarded, at the algebraic level, as a two-dimensional conformal field theory coupled to two-dimensional gravity. When the conformal field theory is also a topological field ... More


String Theory

Claus Kiefer

in Quantum Gravity

Published in print:
2007
Published Online:
January 2010
ISBN:
9780199212521
eISBN:
9780191707377
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199212521.003.09
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter discusses at length the quantum gravitational aspects of string theory. After a general introduction which includes the emergence of the graviton for the free string, the Polyakov path ... More


APPLICATIONS OF THE TOPOLOGICAL STRING/GAUGE THEORY CORRESPONDENCE

Marcos Mariño

in Chern-Simons Theory, Matrix Models, and Topological Strings

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198568490
eISBN:
9780191717604
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198568490.003.0010
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter considers two applications of the topological string/gauge theory correspondence. The first application is to Chern-Simons knot and link invariants, and the second application is to ... More


Quantum Gravity

Claus Kiefer

Published in print:
2007
Published Online:
January 2010
ISBN:
9780199212521
eISBN:
9780191707377
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199212521.001.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This book is concerned with the attempts to unify Einstein's theory of general relativity and quantum theory into a theory of quantum gravity. Among the approaches include canonical quantum gravity ... More


Why Three Dimensions?

Nick Huggett

in Everywhere and Everywhen: Adventures in Physics and Philosophy

Published in print:
2010
Published Online:
May 2010
ISBN:
9780195379518
eISBN:
9780199776559
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195379518.003.0006
Subject:
Philosophy, Philosophy of Science

The question of the ‘shape’ of space can be approached in two ways: whether space is ‘curved’ or ‘flat’ is discussed later, these chapters address ‘topology’, the properties that would stay the same ... More


Loose Ends

Michael Munowitz

in Knowing: The Nature of Physical Law

Published in print:
2006
Published Online:
September 2007
ISBN:
9780195167375
eISBN:
9780199787104
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195167375.003.0012
Subject:
Physics, History of Physics

This excursion into physical law concludes with a peek over the horizon, a glimpse into the knowable unknown. Three principal issues are considered: (1) the origin of the universe, currently modeled ... More


Harmonic morphisms between semi-Riemannian manifolds

Paul Baird and John C. Wood

in Harmonic Morphisms Between Riemannian Manifolds

Published in print:
2003
Published Online:
September 2007
ISBN:
9780198503620
eISBN:
9780191708435
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198503620.003.0014
Subject:
Mathematics, Pure Mathematics

This final chapter discusses how the main definitions and results need to be modified in the semi-Riemannian case. In this context, harmonic maps include the strings of mathematical physics. Weakly ... More


Beyond the Third Dimension?

Nick Huggett

in Everywhere and Everywhen: Adventures in Physics and Philosophy

Published in print:
2010
Published Online:
May 2010
ISBN:
9780195379518
eISBN:
9780199776559
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195379518.003.0005
Subject:
Philosophy, Philosophy of Science

The question of the ‘shape’ of space can be approached in two ways: whether space is ‘curved’ or ‘flat’ is discussed later, these chapters address ‘topology’, the properties that would stay the same ... More


Inflationary observables and string theory

Eva Silverstein

in Post-Planck Cosmology: Lecture Notes of the Les Houches Summer School: Volume 100, July 2013

Published in print:
2015
Published Online:
March 2015
ISBN:
9780198728856
eISBN:
9780191795794
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198728856.003.0010
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter covers the theoretical structure and phenomenology of some basic mechanisms for inflation. A full treatment of the problem requires “ultraviolet completion” because of the sensitivity of ... More


Collective Belief, Kuhn, and the String Theory Community

James Owen Weatherall and Margaret Gilbert

in The Epistemic Life of Groups: Essays in the Epistemology of Collectives

Published in print:
2016
Published Online:
April 2016
ISBN:
9780198759645
eISBN:
9780191820380
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198759645.003.0011
Subject:
Philosophy, Metaphysics/Epistemology

Margaret Gilbert has proposed that ascriptions of beliefs to scientific communities generally involve a common notion of collective belief. Assuming that this interpretive hypothesis is correct, and ... More


Bangs, Bubbles, and Branes: Atomists Versus Stoics, Take Two

Mary-Jane Rubenstein

in Worlds Without End: The Many Lives of the Multiverse

Published in print:
2014
Published Online:
November 2015
ISBN:
9780231156622
eISBN:
9780231527422
Item type:
chapter
Publisher:
Columbia University Press
DOI:
10.7312/columbia/9780231156622.003.0006
Subject:
Philosophy, Philosophy of Science

This chapter focuses on the development of the Big Bang theory and its impact on subsequent cosmological theories. The twentieth century began with the notion of a single, static, infinite world; but ... More


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