Generalized Geometry and Symmetries

IP-2014-09-3258

Principal Investigator: Larisa Jonke
PI's Host institution for the project: Rudjer Bošković Institute
Project duration: 01.09.2015 – 31.08.2019.

Summary

The unification of Einstein's theory of general relativity with quantum physics represents one of the greatest challenges of modern theoretical physics. A hypothesis common to all research directions aiming at understanding the quantum theory of gravity is that our description of space-time geometry has to go beyond the classical picture of space-time as a differentiable manifold. Within this project we are interested in generalized concepts of geometry, physically motivated by string theory: generalized complex geometry and non-commutative geometry. We aim at improving our understanding on how these generalized notions of geometry could be utilized to obtain consistent extensions of symmetry principles. In particular, we are interested in extending the gauge principle, the key physical notion used to describe known matter interactions, in view of the above generalizations of classical geometry. Our goal is to capture the effects of string duality symmetries, non-commutative gauge theory and higher gauge theories at the level of the effective field theory description, which is necessary in order to perform reliable calculations and yield experimentally testable predictions. We expect that geometrizing these generalized symmetries would provide us, as a long-term perspective, with a consistent framework within which one could address open issues in cosmology and black hole physics.

People

Dr. Larisa Jonke

Senior Research Associate, RBI

larisa@irb.hr

Dr. Danijel Jurman

Research Associate, RBI

djurman@irb.hr

Dr. Ivan Andrić

Senior Research Associate (retired)

iandric@irb.hr

Publications

Gauging as constraining: the universal generalised geometry action in two dimensions

Athanasios Chatzistavrakidis, Andreas Deser, Larisa Jonke, Thomas Strobl

Proceedings of "Recent Developments in Strings and Gravity", Corfu Summer Institute 2016, arXiv:1705.05007 [hep-th]

Sigma models for genuinely non-geometric backgrounds

Larisa Jonke

PoS CORFU2015 (2016) 124

Non-isometric T-duality from gauged sigma models

Athanasios Chatzistavrakidis

PoS CORFU2015 (2016) 085, arXiv:1604.03739 [hep-th]

Strings in Singular Space-Times and their Universal Gauge Theory

Athanasios Chatzistavrakidis, Andreas Deser, Larisa Jonke, Thomas Strobl

Ann. Henri Poincaré (2017), arXiv:1608.03250 [math-ph]

Beyond the standard gauging: gauge symmetries of Dirac Sigma Models

Athanasios Chatzistavrakidis, Andreas Deser, Larisa Jonke, Thomas Strobl

JHEP 1608 (2016) 172, arXiv:1607.00342 [hep-th]

T-duality without isometry via extended gauge symmetries of 2D sigma models

Athanasios Chatzistavrakidis, Andreas Deser, Larisa Jonke

JHEP 1601 (2016) 154, arXiv:1509.01829 [hep-th]

Sigma models for genuinely non-geometric backgrounds

Athanasios Chatzistavrakidis, Larisa Jonke, Olaf Lechtenfeld

JHEP 1511 (2015) 182, arXiv:1505.05457 [hep-th]