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Dynamics of Supersymmetry in Curved Space

Objective

Quantum field theory provides a theoretical framework to explain quantitatively natural phenomena as diverse as the fluctuations in the cosmic microwave background, superconductivity, and elementary particle interactions in colliders. Even if we use quantum field theories in different settings, their structure and dynamics are still largely mysterious. Weakly coupled systems can be studied perturbatively, however many natural phenomena are characterized by strong self-interactions (e.g. high T superconductors, nuclear forces) and their analysis requires going beyond perturbation theory. Supersymmetric field theories are very interesting in this respect because they can be studied exactly even at strong coupling and their dynamics displays phenomena like confinement or the breaking of chiral symmetries that occur in nature and are very difficult to study analytically.
Recently it was realized that many interesting insights on the dynamics of supersymmetric field theories can be obtained by placing these theories in curved space preserving supersymmetry. These advances have opened new research avenues but also left many important questions unanswered. The aim of our research programme will be to clarify the dynamics of supersymmetric field theories in curved space and use this knowledge to establish new exact results for strongly coupled supersymmetric gauge theories. The novelty of our approach resides in the systematic use of the interplay between the physical properties of a supersymmetric theory and the geometrical properties of the space-time it lives in. The analytical results we will obtain, while derived for very symmetric theories, can be used as a guide in understanding the dynamics of many physical systems. Besides providing new tools to address the dynamics of quantum field theory at strong coupling this line of investigation could lead to new connections between Physics and Mathematics.

Field of science

  • /natural sciences/physical sciences/theoretical physics/particles/particle accelerator
  • /natural sciences/physical sciences/quantum physics/quantum field theory
  • /natural sciences/mathematics
  • /natural sciences/physical sciences/electromagnetism and electronics/electrical conductivity/superconductor

Call for proposal

ERC-2014-STG
See other projects for this call

Funding Scheme

ERC-STG - Starting Grant

Host institution

UPPSALA UNIVERSITET
Address
Von Kraemers Alle 4
751 05 Uppsala
Sweden
Activity type
Higher or Secondary Education Establishments
EU contribution
€ 1 122 866,25

Beneficiaries (2)

UPPSALA UNIVERSITET
Sweden
EU contribution
€ 1 122 866,25
Address
Von Kraemers Alle 4
751 05 Uppsala
Activity type
Higher or Secondary Education Establishments
KOBENHAVNS UNIVERSITET

Participation ended

Denmark
EU contribution
€ 23 012,75
Address
Norregade 10
1165 Kobenhavn
Activity type
Higher or Secondary Education Establishments