A master exceptional field theory

Loops in exceptional field theory

A grand master and an exceptional mind

Received: 10 August 2005 Revised: 10 October 2005 Accepted: 10 October 2005 I first met Claudio Ciborra in Dallas, Texas in 1994. I had had the fortune to be introduced to him by a Finnish friend. I have a vivid recollection of his personal charm and natural ability in establishing immediate connections with people, even with a young scholar like me. One thing really surprised me that first tim...

Exceptional Field Theory. I. E[subscript 6(6)]-Covariant Form of M-Theory and Type IIB

Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. We present the details of the recently constructed E 6ð6Þ-covariant extension of 11-dimensional supergravity. This ...

An Action for F-theory: SL(2)× R Exceptional Field Theory

We construct the 12-dimensional exceptional field theory associated to the group SL(2)× R. Demanding the closure of the algebra of local symmetries leads to a constraint, known as the section condition, that must be imposed on all fields. This constraint has two inequivalent solutions, one giving rise to 11-dimensional supergravity and the other leading to F-theory. Thus SL(2) × R exceptional f...

Mastering the Master Field∗

The basic concepts of non-commutative probability theory are reviewed and applied to the large N limit of matrix models. We argue that this is the appropriate framework for constructing the master field in terms of which large N theories can be written. We explicitly construct the master field in a number of cases including QCD2. There we both give an explicit construction of the master gauge f...