Mysterious duality

Mysterious duality

In theoretical physics, mysterious duality is a set of mathematical similarities between some objects and laws (and perhaps all of them, if the conjecture is extended appropriately) describing M-theory on "k"-dimensional tori (i.e. type II superstring theory on T^{k-1} if "k" is positive) on one side, and geometry of del Pezzo surfaces (for example, the cubic surfaces) on the other side.

The main observation is that the large diffeomorphisms of del Pezzo surfaces match the Weyl group of the U-duality group of the corresponding compactification of M-theory. The elements of the second homology of the del Pezzo surfaces are mapped to various BPS objects of different dimensions in M-theory.

The complex projective plane CP^2 is related to M-theory in 11 dimensions. When "k" points are blown-up, the del Pezzo surface describes M-theory on a "k"-torus, and the exceptional del Pezzo surface, namely CP^1 imes CP^1, is connected with type IIB string theory in 10 dimensions.

This conjecture was developed by Cumrun Vafa, Amer Iqbal, and Andrew Neitzke from Harvard University.


Wikimedia Foundation. 2010.

Игры ⚽ Нужен реферат?

Look at other dictionaries:

  • Duality — may refer to: Contents 1 Mathematics 2 Philosophy, logic, and psychology 3 Science 3.1 Electrical and mechanical …   Wikipedia

  • The Mysterious Stranger — This article is about the unfinished work by Mark Twain. For the 1921 film, see The Mysterious Stranger (film). For the David Blaine book, see Mysterious Stranger. The Mysterious Stranger …   Wikipedia

  • M-theory — For a generally accessible and less technical introduction to the topic, see Introduction to M theory. String theory …   Wikipedia

  • List of string theory topics — See also: List of mathematical topics in quantum theory This is an list of string theory topics. Contents 1 String theory 1.1 String duality 1.2 Particles and fields 1 …   Wikipedia

  • Cubic surface — A cubic surface is a projective variety studied in algebraic geometry. It is an algebraic surface in three dimensional projective space defined by a single polynomial which is homogeneous of degree 3 (hence, cubic). Cubic surfaces are del Pezzo… …   Wikipedia

  • Compactification (physics) — For the concept of compactification in mathematics, see compactification (mathematics). In physics, compactification means changing a theory with respect to one of its space time dimensions. Instead of having a theory with this dimension being… …   Wikipedia

  • List of mathematics articles (M) — NOTOC M M estimator M group M matrix M separation M set M. C. Escher s legacy M. Riesz extension theorem M/M/1 model Maass wave form Mac Lane s planarity criterion Macaulay brackets Macbeath surface MacCormack method Macdonald polynomial Machin… …   Wikipedia

  • Del Pezzo surface — In mathematics, a del Pezzo surface or Fano surface is a two dimensional Fano variety, in other words a non singular projective algebraic surface with ample anticanonical divisor class. They are in some sense the opposite of surfaces of general… …   Wikipedia

  • literature — /lit euhr euh cheuhr, choor , li treuh /, n. 1. writings in which expression and form, in connection with ideas of permanent and universal interest, are characteristic or essential features, as poetry, novels, history, biography, and essays. 2.… …   Universalium

  • The 36 tattvas — In Kaśmir Śaivism, the 36 tattvas describe the Absolute, its internal aspects and the creation including living beings, down to the physical reality. The addition of 11 supplemental tattvas compared to the IAST|Sāṃkhya allows for a richer, fuller …   Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”