New Geometric Structures from String Theory View Homepage


Ontology type: schema:MonetaryGrant     


Grant Info

YEARS

2013-2019

FUNDING AMOUNT

1582438.0 GBP

ABSTRACT

Our proposed research is aimed towards discovering the mathematical structures underpinning the fundamental nature of matter, the origins of the universe and the quantum structure of spacetime each of which would be a revolution in science, with possible consequences as far-reaching as they were when matter was shown to be composed of atoms. Just as differential geometry was vital for Einstein's theory of gravity, the mathematics we are investigating could be an essential part of a revolution the formulation of string theory, with possible far-reaching consequences. Theoretical physics has long been central in motivating vital new directions in geometry. Recent research in string theory points to the existence of a rich class of remarkable new geometrical structures. The aim of the research is to develop the underlying unifying mathematics of these structures, laying the foundations for new areas of geometric study using tools and ideas from string theory and gauge theory. It is rare to find a new type of geometry that is both beautiful and tractable. Generalized geometry, introduced by Hitchin, is one such new example, and like others is strongly linked with ideas from physics. The overarching focus of our proposal will be the much larger set of ideas of which this is part, including extended geometries, doubled geometries, flux geometries, non-geometric spaces and holographic structures. We anticipate wide ranging applications across mathematical sciences from geometry and topology to algebra and number theory and mathematical physics. More... »

URL

https://gtr.ukri.org/project/2D212431-79B9-40C2-9AA0-DACC5274FD46

Related SciGraph Publications

  • 2020-03-03. Special holonomy manifolds, domain walls, intersecting branes and T-folds in JOURNAL OF HIGH ENERGY PHYSICS
  • 2020-02-27. Magnetic quivers, Higgs branches, and 6d N = (1, 0) theories — orthogonal and symplectic gauge groups in JOURNAL OF HIGH ENERGY PHYSICS
  • 2020-01-24. The Higgs mechanism — Hasse diagrams for symplectic singularities in JOURNAL OF HIGH ENERGY PHYSICS
  • 2019-12-30. The doubled geometry of nilmanifold reductions in JOURNAL OF HIGH ENERGY PHYSICS
  • 2019-11-29. Fibred GK geometry and supersymmetric AdS solutions in JOURNAL OF HIGH ENERGY PHYSICS
  • 2019-11-05. Systematics of consistent truncations from generalised geometry in JOURNAL OF HIGH ENERGY PHYSICS
  • 2019-10-21. Heterotic/type II duality and non-geometric compactifications in JOURNAL OF HIGH ENERGY PHYSICS
  • 2019-10-18. Degenerations of K3, orientifolds and exotic branes in JOURNAL OF HIGH ENERGY PHYSICS
  • 2019-09-09. Noncommutative gauge theories on D-branes in non-geometric backgrounds in JOURNAL OF HIGH ENERGY PHYSICS
  • 2019-07-24. Erratum to: Magnetic quivers, Higgs branches and 6d N = (1, 0) theories in JOURNAL OF HIGH ENERGY PHYSICS
  • 2019-06-28. Toric geometry and the dual of ℐ-extremization in JOURNAL OF HIGH ENERGY PHYSICS
  • 2019-06-24. The Generalised Complex Geometry of (p, q) Hermitian Geometries in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2019-06-14. Magnetic quivers, Higgs branches and 6d N=1,0 theories in JOURNAL OF HIGH ENERGY PHYSICS
  • 2019-04-15. Spatially modulated and supersymmetric deformations of ABJM theory in JOURNAL OF HIGH ENERGY PHYSICS
  • 2019-04-04. Mass deformed ABJM and PT symmetry in JOURNAL OF HIGH ENERGY PHYSICS
  • 2019-03-12. Compact G2 holonomy spaces from SU(3) structures in JOURNAL OF HIGH ENERGY PHYSICS
  • 2019-03-05. (0,4) brane box models in JOURNAL OF HIGH ENERGY PHYSICS
  • 2019-02-27. Minimally unbalanced quivers in JOURNAL OF HIGH ENERGY PHYSICS
  • 2019-02-19. Nilpotent orbit Coulomb branches of types AD in JOURNAL OF HIGH ENERGY PHYSICS
  • 2019-02-04. Adjoint orbits, generalised parallelisable spaces and consistent truncations in JOURNAL OF HIGH ENERGY PHYSICS
  • 2019-01-29. A geometric dual of c-extremization in JOURNAL OF HIGH ENERGY PHYSICS
  • 2019-01-28. Toric geometry and the dual of c-extremization in JOURNAL OF HIGH ENERGY PHYSICS
  • 2019-01-08. Tropical geometry and five dimensional Higgs branches at infinite coupling in JOURNAL OF HIGH ENERGY PHYSICS
  • 2018-11-08. Some remarks on (super)-conformal Killing-Yano tensors in JOURNAL OF HIGH ENERGY PHYSICS
  • 2018-10-09. Susy Q and spatially modulated deformations of ABJM theory in JOURNAL OF HIGH ENERGY PHYSICS
  • 2018-10-04. Erratum to: N=2 moduli of AdS4 vacua: a fine-print study in JOURNAL OF HIGH ENERGY PHYSICS
  • 2018-09-03. Quiver subtractions in JOURNAL OF HIGH ENERGY PHYSICS
  • 2018-08-31. Superstrings on AdS3 at k = 1 in JOURNAL OF HIGH ENERGY PHYSICS
  • 2018-08-29. Resolutions of nilpotent orbit closures via Coulomb branches of 3-dimensional N=4 theories in JOURNAL OF HIGH ENERGY PHYSICS
  • 2018-08-24. Discrete gauging in Coulomb branches of three dimensional N=4 supersymmetric gauge theories in JOURNAL OF HIGH ENERGY PHYSICS
  • 2018-08-24. Discrete quotients of 3-dimensional N=4 Coulomb branches via the cycle index in JOURNAL OF HIGH ENERGY PHYSICS
  • 2018-08-17. N=2 moduli of AdS4 vacua: a fine-print study in JOURNAL OF HIGH ENERGY PHYSICS
  • 2018-07-26. Discrete gauging in six dimensions in JOURNAL OF HIGH ENERGY PHYSICS
  • 2018-07-16. The small E8 instanton and the Kraft Procesi transition in JOURNAL OF HIGH ENERGY PHYSICS
  • 2018-07-09. 3d Coulomb branch and 5d Higgs branch at infinite coupling in JOURNAL OF HIGH ENERGY PHYSICS
  • 2018-06-19. Holographic RG flows for four-dimensional N=2 SCFTs in JOURNAL OF HIGH ENERGY PHYSICS
  • 2018-06-08. Covariance in the Batalin–Vilkovisky formalism and the Maurer–Cartan equation for curved Lie algebras in LETTERS IN MATHEMATICAL PHYSICS
  • 2018-05-11. A limit for large R-charge correlators in N = 2 theories in JOURNAL OF HIGH ENERGY PHYSICS
  • 2018-04-23. Branes and the Kraft-Procesi transition: classical case in JOURNAL OF HIGH ENERGY PHYSICS
  • 2018-04-11. Incoherent transport for phases that spontaneously break translations in JOURNAL OF HIGH ENERGY PHYSICS
  • 2018-04-11. The exceptional sigma model in JOURNAL OF HIGH ENERGY PHYSICS
  • 2018-04-04. Boomerang RG flows with intermediate conformal invariance in JOURNAL OF HIGH ENERGY PHYSICS
  • 2018-03-09. Diffusion for holographic lattices in JOURNAL OF HIGH ENERGY PHYSICS
  • 2018-01-15. Twistor description of spinning particles in AdS in JOURNAL OF HIGH ENERGY PHYSICS
  • 2017-11-21. Quiver theories and formulae for nilpotent orbits of Exceptional algebras in JOURNAL OF HIGH ENERGY PHYSICS
  • 2017-11-15. Non-geometric Calabi-Yau backgrounds and K3 automorphisms in JOURNAL OF HIGH ENERGY PHYSICS
  • 2017-11-14. Nilpotent orbits and the Coulomb branch of Tσ(G) theories: special orthogonal vs orthogonal gauge group factors in JOURNAL OF HIGH ENERGY PHYSICS
  • 2017-10-23. Supersymmetric branes and instantons on curved spaces in JOURNAL OF HIGH ENERGY PHYSICS
  • 2017-09-15. On three-dimensional quiver gauge theories of type B in JOURNAL OF HIGH ENERGY PHYSICS
  • 2017-08-29. All (4,0): Sigma models with (4,0) off-shell supersymmetry in JOURNAL OF HIGH ENERGY PHYSICS
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