## 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

## 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

## Quantum Field Theory of Many-Body Systems: From the Origin of Sound to an Origin of Light and Electrons

*Xiao-Gang Wen*

- Published in print:
- 2007
- Published Online:
- February 2010
- ISBN:
- 9780199227259
- eISBN:
- 9780191713019
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199227259.001.0001
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

For most of the last century, condensed matter physics has been dominated by band theory and Landau's symmetry breaking theory. In the last twenty years, however, there has been an emergence of a new ... 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

## Triple Quartet (1999)

*Steve Reich*

### in Writings on Music 1965–2000: 1965-2000

- Published in print:
- 2004
- Published Online:
- October 2011
- ISBN:
- 9780195151152
- eISBN:
- 9780199850044
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195151152.003.0063
- Subject:
- Music, History, American

This chapter presents Reich's thoughts about Triple Quartet. Triple Quartet exists in three versions: one for string quartet and pre-recorded tape, another for three string quartets (12 players), and ... More

## Elgar, Introduction and Allegro for String Orchestra

*David Manning*

### in Vaughan Williams on Music

- Published in print:
- 2007
- Published Online:
- October 2011
- ISBN:
- 9780195182392
- eISBN:
- 9780199851485
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195182392.003.0099
- Subject:
- Music, History, Western

This work is written for the unusual combination of solo string quartet and full-string orchestra. It is very characteristic of the composer, full of unmistakeable Elgarian melody, especially the big ... More

## Balance on the Lute: The Role of the Strings

*MIMMO PERUFFO*

### in The Music Room in Early Modern France and Italy: Sound, Space and Object

- Published in print:
- 2012
- Published Online:
- January 2013
- ISBN:
- 9780197265055
- eISBN:
- 9780191754166
- Item type:
- chapter

- Publisher:
- British Academy
- DOI:
- 10.5871/bacad/9780197265055.003.0008
- Subject:
- Music, History, Western

The lute was the instrument on which the luthiers and string-makers of the past expended the greatest effort in order to achieve the best possible acoustic balance between the instrument and its ... 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

## 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

## PRELIMINARIES AND AGREEMENTS

*Rolf Niedermeier*

### in Invitation to Fixed-Parameter Algorithms

- Published in print:
- 2006
- Published Online:
- September 2007
- ISBN:
- 9780198566076
- eISBN:
- 9780191713910
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198566076.003.0002
- Subject:
- Mathematics, Combinatorics / Graph Theory / Discrete Mathematics

This chapter introduces the basic mathematical formalism and discusses concepts used throughout the book. Among other things, it looks at decision problems vs optimization problems, Random Access ... More

## DEPTH-BOUNDED SEARCH TREES

*Rolf Niedermeier*

### in Invitation to Fixed-Parameter Algorithms

- Published in print:
- 2006
- Published Online:
- September 2007
- ISBN:
- 9780198566076
- eISBN:
- 9780191713910
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198566076.003.0008
- Subject:
- Mathematics, Combinatorics / Graph Theory / Discrete Mathematics

This chapter presents the second very basic design technique for fixed-parameter algorithms: depth-bounded search trees. It starts with simple observations and some basic definitions and facts, ... More

## Classical and Romantic Performing Practice 1750-1900

*Clive Brown*

- Published in print:
- 1999
- Published Online:
- May 2008
- ISBN:
- 9780198161653
- eISBN:
- 9780191716263
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198161653.001.0001
- Subject:
- Music, Ethnomusicology, World Music

Despite the continuing interest in historically informed vocal and instrumental performance practice, the relationship between a composer's notation and the sounds it was intended to elicit remains ... More

## Weber, Der Freischütz Overture

*David Manning*

### in Vaughan Williams on Music

- Published in print:
- 2007
- Published Online:
- October 2011
- ISBN:
- 9780195182392
- eISBN:
- 9780199851485
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780195182392.003.0101
- Subject:
- Music, History, Western

Carl Maria von Weber's Der Freischütz overture is a typical product of the Teutonic romantic movement of the early nineteenth century. The story, with its wolf's glen, its flaxen-haired maidens, and ... More

## Probabilistic ancestral sequences based on the Markovian model of evolution: algorithms and applications

*Gina M. Cannarozzi, Adrian Schneider, and Gaston H. Gonnet*

### in Ancestral Sequence Reconstruction

- Published in print:
- 2007
- Published Online:
- September 2008
- ISBN:
- 9780199299188
- eISBN:
- 9780191714979
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199299188.003.0005
- Subject:
- Biology, Evolutionary Biology / Genetics

A probabilistic sequence (PS) is a sequence in which each position instead of having a single character (amino acid, nucleotide, or codon), has a vector describing the probability of each symbol ... 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

## 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

## 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

## GEOMETRIC TRANSITIONS

*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/9780198568490.003.0008
- Subject:
- Physics, Particle Physics / Astrophysics / Cosmology

Gopakumar and Vafa demonstrated in an important paper (1999) that there is a closed string theory leading to the resummations (2.179) and (2.181). The intuition behind the result of Gopakumar and ... More

## Parsimony and phylogenetics in the genomic age

*Victor A. Albert*

### in Parsimony, Phylogeny, and Genomics

- Published in print:
- 2006
- Published Online:
- September 2007
- ISBN:
- 9780199297306
- eISBN:
- 9780191713729
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199297306.003.0001
- Subject:
- Biology, Evolutionary Biology / Genetics

Parsimony analysis (Ockham's razor) as a general method of inference has a long history, from the arguments of Copernicus against Ptolemy's heliocentric solar system, through Sir Farncis Crick's ... More