Aspects of Space-Time Dualities

Abstract

Duality groups of Abelian gauge theories on four manifolds and their reduction to two dimensions are considered. The duality groups include elements that relate different space-times in addition to relating different gauge-coupling matrices. We interpret (some of) such dualities as the geometrical symmetries of compactified theories in higher dimensions. In particular, we consider compactifications of a (self-dual) 2-form in 6-D, and compactifications of a self-dual 4-form in 10-D. Relations with a self-dual superstring in 6-D and with the type IIB superstring are discussed.

10 pages, plain Latex. Minor misprint corrected

References in corpus (4)

• A Strong Coupling Test of S-Duality
• Global Aspects of Electric-Magnetic Duality
• S-Duality in N=4 Yang-Mills Theories with General Gauge Groups,
• Non-Abelian Strong-Weak Coupling Duality in (String-Derived) N=4 Supersymmetric Yang-Mills Theories

Cited by in corpus (2)

• SL(2,Z) duality of Born-Infeld theory from self-dual electrodynamics in 6 dimensions
• Classical Duality from dimensional reduction of Self Dual 4-form Maxwell Theory in 10 dimensions