nLab
string theory results applied elsewhere

under construction

Context

String theory

Physics

physics, mathematical physics

Surveys, textbooks and lecture notes


theory (physics), model (physics)

Quantum field theory

Gravity

Contents

Idea

Beyond the speculative hypothetized role of string theory as a physical theory of fundamental strings that constitute the observed fundamental particles in the standard model of particle physics, the theory has shed light on many aspects of quantum field theory as such, both on the conceptual structure of QFT as well as on concrete theories and their concrete properties such as of. This entry lists such instances of string theory results having lead to insights in non-stringy physics and in particular into experimentally confirmed physics, such as QCD in the standard model of particle physics.

Le plus court chemin entre deux vérités dans le domaine réel passe par le domaine complexe.

Jacques Hadamard (source)

Examples

The two basic theories that underlie observed fundamental physics – and which string theory unifies at least qualitatively and in perturbation theory – are Yang-Mills theory and Einstein gravity/general relativity.

  1. Applications to Yang-Mills theory

  2. Applications to Gravity

Many of the insights are based on the gauge/gravity duality in string theory:

  1. General relation between Yang-Mills theory and gravity

General relation between Yang-Mills theory and gravity

AdS/CFT correspondence open/closed string duality

  • Spenta R. Wadia, Gauge/Gravity Duality and Some Applications (arXiv:1009.0212)

talks at

  • Zvi Bern, Thomas Gehrmann, Frank Petriello, Anastasia Volovich, The Harmony of Scattering Amplitudes KITP Program (2011) (web)

Applications to Yang-Mills theory

Montonen-Olive duality

To QCD and experimental particle physics

The realization of Yang-Mills theory that describes quarks and their interaction by the strong nuclear force carried by gluons is quantum chromodynamics (QCD).

  1. QCD Scattering amplitudes

  2. Quark-gluon plasma

Scattering amplitudes

Reviews include

  • Matthew Strassler, From string theory to the large hadron collider (blog post)

  • Rutger Boels, On-shell recursion for string theory amplitudes on the disk and the sphere (pdf)

Original articles include

Quark-gluon plasma

Properties of quark-gluon plasma from AdS/CFT-dual type II string theory

To super Yang-Mills theory

Seiberg duality in super Yang-Mills theory is conceptually explained by type II string theory on certain D-brane configurations (…)

Applications to gravity

Scattering amplitudes

(…)

Black hole entropy

Semi-classical QFT computations suggest that there should be entropy associated with black holes, the Bekenstein-Hawking entropy, without however providing microscopic degrees of freedom of which this would be an entropy in the ordinary sense.

Since the quantum dynamics of general black holes is outside the reach of perturbative methods in string theory, certain supersymmetric black hole? solutions in supergravity have properties independent of the coupling and are known to be the strong-coupling limit of what at weak coupling is a certain configuration of branes in flat space. Therefore the ordinary entropy of these brane configurations should match the Bekenstein-Hawking entropy of the corresponding black holes, and this has been confirmed to good precision.

While this argument does not give direct information about the origin of the BH-entropy of physically observed black holes, it does show conceptually, in the general context of black holes in theories of gravity, BH-entropy can be accounted for by microscopic degrees of freedom in a theory of quantum gravity.

Reviews include

chapter 5 of

Application to pure mathematics

Twisted K-theory

Monstrous moonshine

  • monstrous moonshine?

(…)

(…)

Revised on June 14, 2013 11:48:31 by Urs Schreiber (82.169.65.155)