K-Homology and M-Theory physics

Project Information

M-THEORY PHYSICS

Grant agreement ID: 24738

Project closed

Start date 1 September 2005

End date 31 August 2007

Funded under

• Human resources and Mobility in the specific programme for research, technological development and demonstration "Structuring the European Research Area" under the Sixth Framework Programme 2002-2006

Total cost No data

EU contribution No data

Coordinated by

HERIOT-WATT UNIVERSITY
United Kingdom

Objective

We apply new mathematical tools of certain generalized cohomology theories, namely K-homology and differential cohomology, to study the problem of obtaining realistic four-dimensional backgrounds of string theory suitable for phenomelogical analyses. The consistency conditions implied by the cancellation of global anomalies in string theory are used to establish the conditions under which a given compactification is consistent. Twisted K-theory and K-homology is used to derive an effective action governing the dynamics of little string theory, with an eye to gaining insight into the world volume theory of the M5-brane in M-theory. The gauge theories defined by non-trivial background B-fields are developed and used to study a large N limit of the gravitational sector of string theory such that the limit is precisely M-theory. A crucial ingredient in our construction is the identification of the topological sectors of Type IIA string theory and M-theory with gauge theories based on the rank 8 exceptional Lie group E8.

Fields of science (EuroSciVoc)

CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: https://op.europa.eu/en/web/eu-vocabularies/euroscivoc.

• natural sciences › physical sciences › theoretical physics › string theory
• natural sciences › mathematics › pure mathematics › algebra › algebraic geometry

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Keywords

• D
• D-branes
• E8 gauge theory
• K
• K-theory
• String theory
• branes
• theory

Programme(s)

• FP6-MOBILITY - Human resources and Mobility in the specific programme for research, technological development and demonstration "Structuring the European Research Area" under the Sixth Framework Programme 2002-2006

Topic(s)

• MOBILITY-2.1 - Marie Curie Intra-European Fellowships (EIF)

Call for proposal

FP6-2002-MOBILITY-5
See other projects for this call

Funding Scheme

EIF - Marie Curie actions-Intra-European Fellowships

Coordinator

HERIOT-WATT UNIVERSITY

• EU contribution: No data
• Address: United Kingdom
• Total cost: No data