期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 5, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP05(2018)145
关键词
Conformal Field Models in String Theory; Discrete Symmetries; Global Symmetries; String Duality
资金
- NSF [PHY-1066293]
- NSF22 [PHY 1520748]
- Simons Foundation [399639]
- Institute for Advanced Study in Princeton from IBM Einstein Fellowship of the Institute for Advanced Study
- DOE [DOE-SC0010008]
- Direct For Mathematical & Physical Scien
- Division Of Physics [1520748] Funding Source: National Science Foundation
It is well known that string theory has a T-duality symmetry relating circle compactifications of large and small radius. This symmetry plays a foundational role in string theory. We note here that while T-duality is order two acting on the moduli space of compactifications, it is order four in its action on the conformal field theory state space. More generally, involutions in the Weyl group W(G) which act at points of enhanced G symmetry have canonical lifts to order four elements of G, a phenomenon first investigated by J. Tits in the mathematical literature on Lie groups and generalized here to conformal field theory. This simple fact has a number of interesting consequences. One consequence is a reevaluation of a mod two condition appearing in asymmetric orbifold constructions. We also briefly discuss the implications for the idea that T-duality and its generalizations should be thought of as discrete gauge symmetries in spacetime.
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