Twelve-dimensional Effective Action and T-duality

Abstract

We propose a twelve-dimensional supergravity action, which describes low energy dynamics of F-theory. Dimensional reduction leads the theory to eleven-dimensional, IIA, and IIB supergravities. Self-duality of the four-form field in IIB supergravity is understood. It is necessary to abandon twelve-dimensional Poincare symmetry by making one dimension compact, which is to be decompactified in some region of parameter space, such that the physical degrees of freedom are the same as those of eleven-dimensional supergravity. This makes T-duality explicit as a relation between different compactification schemes.

5 pages, xy

References in corpus (13)

• String Theory Dynamics In Various Dimensions
• Heterotic and Type I String Dynamics from Eleven Dimensions
• Evidence for F-Theory
• Duality in the Type--II Superstring Effective Action
• GUTs and Exceptional Branes in F-theory - I
• Eleven Dimensional Origin of String/String Duality: A One Loop Test
• Some Relationships Between Dualities in String Theory
• Lectures on F-theory compactifications and model building
• Les Houches Lectures on Constructing String Vacua
• Low-Energy Analysis of $M$ and $F$ Theories on Calabi-Yau Threefolds
• The N=1 effective action of F-theory compactifications
• TASI Lectures on Supergravity and String Vacua in Various Dimensions
• On the Standard Model Group in F-theory

Cited by in corpus (7)

• F-theory at order ${\alpha }^{\prime 3}$
• 6D Fractional Quantum Hall Effect
• E(lementary) Strings in Six-Dimensional Heterotic F-Theory
• Supergravity in Twelve Dimension
• Gauge field corrections to 11-dimensional supergravity via dimensional reduction
• MOG without anomaly
• On effective field theory of F-theory beyond leading order