String and M-theory geometries: Double Field Theory, Exceptional Field Theory and their Applications (17w5018)

Arriving in Banff, Alberta Sunday, January 22 and departing Friday January 27, 2017


Martin Cederwall (Chalmers University of Technology)

(Queen Mary University of London)

(Sogang University)


Given the extensive development of the formalism, it is now the time to start applying it to problems of interest, in particular to questions concerning compactifications, cosmology, black holes and further study the fundamental mathematical structures. The open questions and areas ripe for exploitation include:

• the possibility of producing and rigorously investigating genuinely non-geometric backgrounds in double field theory and M-theory equivalents as generalised geometric backgrounds;

• the physical interpretation of DFT in the absence of isometries and localisation in winding space;

• a geometric description of the so called “exotic branes” of deBoer and Shigemori;

• the various mathematical structures behind extended and double geometry such as possible non-associative structures;

• new phenomenological implications of non-geometric compactifications;

• the study of cosmological backgrounds;

• the understanding of a genuine CFT description of DFT;

• quantum aspects of these theories;

• application of these ideas to black hole physics, thermodynamics and singularity structure;

• constraints on possible string corrections through incorporating higher derivative corrections.

The general goal of the workshop is to bring together experts in different aspects of this field. The idea will be to create overlaps between the formal and more physically motivated approaches and hopefully apply the formalism that has been recently developed in extended geometries and double field theory to show how they can exhibit new physical phenomena and answer some of the above questions. This is a growing emerging area coming out of string theory.

There have been two workshops completely devoted to this area so far 2014 in Kyoto and 2015 in CERN. In both cases these workshops proved crucial in focusing the field and bringing together experts to resolve outstanding issues. As such focused workshops in this area are absolutely crucial, 2017 will be an ideal time for a workshop to consolidate progress and bring together experts on outstanding questions.

In terms of current growth and vitality, there are now approximately 60 papers per year on the arXiv directly in this area, as such the community in this area is very active and productive. General interest has also been increasing with various extended lectures in this area taking place at graduate student schools and general string theory conferences.