Duality and Global Symmetries
arXiv:hep-th/9706210 · doi:10.1016/S0920-5632(97)00517-3
Abstract
This is a general introduction to duality in field theories. The existence and breaking of global symmetries is used as a guideline to systematically prove duality between different field theories. Systems discussed include abelian and non-abelian T-duality in string theory, abelian and nonabelian bosonization, and duality for massless and massive antisymmetric tensor field theories in arbitrary number of dimensions. Open questions regarding these techniques are also discussed. (Lectures given at 33rd Karpacz Winter School `Duality: Strings and Fields' .)
19 pages,latex,espcrc2
References in corpus (1)
Cited by in corpus (16)
- Compactifications of the Klebanov-Witten CFT and new backgrounds
- S-Duality for Linearized Gravity
- On the duality of massive Kalb-Ramond and Proca fields
- Self-Assembly of Isostatic Self-Dual Colloidal Crystals
- Remarks on 2+1 Self-dual Chern-Simons Gravity
- On S-duality in (2+1)-Chern-Simons Supergravity
- Connecting Dualities and Machine Learning
- Self-dual gravity and self-dual Yang-Mills in the context of Macdowell-Mansouri formalism
- The Abelian Topological Mass Mechanism From Dimensional Reduction
- Duality and fields redefinition in three dimensions
- Canonical analysis of Kalb-Ramond-Proca duality
- Canonical aspects of pregeometric vector-based first order gauge theory
- A Vector Non-abelian Chern-Simons Duality
- S-duality for 2-d gravity
- Rigorous Formulation of Duality in Gravitational Theories
- Global Space-time Symmetries Gauging and Kaluza-Klein Dimensional Reduction