T-duality

introduction

• the T stands for toroidal
• This refers to the situation where one string theory compactified on a circle of radius R, and another string theory compactified on circle of radius 1/R describe the same physics. Therefore when one of the theories is on a very small circle the other theory is on a very large circle.
• \(\int \partial X \bar{\partial}X\)
• \(X=X+2\pi R\)
• T-duality

\[\tilde{R}=\frac{\alpha'}{R}\]

• http://iopscience.iop.org/1742-5468/2006/12/P12016/fulltext#SECTIONREF
• http://www.sciencedirect.com/science/article/pii/0370269389910605
• T - duality of two-dimensional quantum gravity

 

related items

• c=1 representations

encyclopedia

• http://en.wikipedia.org/wiki/T-duality

articles

• Luu, Martin. ‘Local Langlands Duality and a Duality of Conformal Field Theories’. arXiv:1506.00663 [hep-Th, Physics:math-Ph], 1 June 2015. http://arxiv.org/abs/1506.00663.
• Mathai, Varghese, and Guo Chuan Thiang. ‘T-Duality and Topological Insulators’. arXiv:1503.01206 [hep-Th, Physics:math-Ph], 3 March 2015. http://arxiv.org/abs/1503.01206.