Geometries with twisted spheres and non-abelian T-dualities.
- Resource Type
- Article
- Authors
- Lunin, Oleg; Shah, Parita
- Source
- Journal of High Energy Physics. Mar2024, Vol. 2024 Issue 3, p1-51. 51p.
- Subject
- *SPHERES
*GEOMETRY
*SUPERGRAVITY
*CIRCLE
*STRING theory
- Language
- ISSN
- 1126-6708
Spectral flow in two-dimensional superconformal field theories is known to correspond to a geometrical mixing between two circles in the gravity dual. We generalize this operation to the geometries which have SO(k+1)×SO(k+1) isometries with k > 1 and perform various non-abelian T-dualities of the resulting twisted backgrounds. Combination of non-abelian twists and dualities leads to a new solution generating technique in supergravity, and we apply it to the geometries dual to supersymmetric states in = 4 super-Yang-Mills theory. [ABSTRACT FROM AUTHOR]