Triangle Seminars
Wednesday, 22 Feb 2017
T-duality and the Gerbe in C-spaces
📍 London
Georgios Papadopoulos
(King's College London)
Abstract:
I shall review proposals that have been made to patch doubled spaces and explain the difficulties that arise in an effort to achieve consistent patching. Then I shall propose a scheme based on C-spaces that leads to a consistent patching but requires additional coordinates to those of doubled spaces. The T-dual pairs are identified as subspaces of the gerbe in C-spaces. The talk is based
on work done with Paul Howe, arXiv:1612.07968 [hep-th].
I shall review proposals that have been made to patch doubled spaces and explain the difficulties that arise in an effort to achieve consistent patching. Then I shall propose a scheme based on C-spaces that leads to a consistent patching but requires additional coordinates to those of doubled spaces. The T-dual pairs are identified as subspaces of the gerbe in C-spaces. The talk is based
on work done with Paul Howe, arXiv:1612.07968 [hep-th].
Posted by: KCL
Polygon Seminar: E Theory
Peter West
(King's College London)
Abstract:
I review the theory of non-linear realisations and Kac-Moody algebras, I explain how to construct the non-linear realisation based on the Kac-Moody algebra \(E_{11}\) and its vector representation. I explain how this field theory leads to dynamical equations which contain an infinite number of fields defined on a spacetime with an infinite number of coordinates. I then show that these unique dynamical equations, when truncated to low level fields and the usual coordinates of spacetime, lead to precisely the equations of motion of eleven dimensional supergravity theory. By taking different group decompositions of \(E_{11}\) we find all the maximal supergravity theories, including the gauged maximal supergravities, and as a result the non-linear realisation is a unified theory that is the low energy effective action for type II strings and branes. These results essentially confirm the \(E_{11}\) conjecture given many years ago.
I review the theory of non-linear realisations and Kac-Moody algebras, I explain how to construct the non-linear realisation based on the Kac-Moody algebra \(E_{11}\) and its vector representation. I explain how this field theory leads to dynamical equations which contain an infinite number of fields defined on a spacetime with an infinite number of coordinates. I then show that these unique dynamical equations, when truncated to low level fields and the usual coordinates of spacetime, lead to precisely the equations of motion of eleven dimensional supergravity theory. By taking different group decompositions of \(E_{11}\) we find all the maximal supergravity theories, including the gauged maximal supergravities, and as a result the non-linear realisation is a unified theory that is the low energy effective action for type II strings and branes. These results essentially confirm the \(E_{11}\) conjecture given many years ago.
Posted by: IC