## Contact

Swiss National Science Foundation (SNSF)

Wildhainweg 3P.O. Box

CH-3001 Bern

Phone +41 31 308 22 22

English title | String Theory, Quantum Gravity, and Space-Time Singularities |
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Applicant | Blau Matthias |

Number | 132412 |

Funding scheme | Project funding |

Research institution | Institut für Theoretische Physik Universität Bern |

Institution of higher education | University of Berne - BE |

Main discipline | Theoretical Physics |

Start/End | 01.10.2010 - 30.09.2012 |

Approved amount | 254'718.00 |

string theory; quantum gravity; space-time singularities; Penrose limits; plane waves; matrix string theory; non-relativistic AdS/CFT correspondence; Schroedinger space-time; holography; black holes; singularities; matrix theory; AdS/CFT correspondence; Schroedinger space-times; matrix big bang models

Lead |
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Lay summary |

One of the major unsolved problems of theoretical high energy and gravitational physics is the formulation of a consistent theory of quantum gravity and its unification with the other fundamental interactions. One of the main motivations for research on this elusive theory of quantum gravity is the question what happens at classical cosmological (Big Bang) or astrophysical (Black Hole) singularities.This theoretical physics research project, on the interface of mathematical, gravitational and high-energy physics, consistst of two parts, both providing concrete proposals to study particualr aspects of this problem in the context of two distinct non-perturbative formulations of string theory, namely M(atrix)-theory on the one hand, and the AdS/CFT-correspondence on the other. At the present level of (non-)understanding of space-time singularities, any insights into these questions will be welcomed by the scientific community, in particular if they offer a glimpse of what might be called quantum geometry or stringy geometry, or if they provide some insight into mechanisms for or limitations of singularity resolution in candidate theories of quantum gravity, and this is what the current research project can potentially offer. |

Direct link to Lay Summary | Last update: 21.02.2013 |

Name | Institute |
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Name | Institute |
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Publication |
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Aspects of Plane Wave (Matrix) String Dynamics |

Asymptotically Schrödinger Space-Times |

Asymptotically Schroedinger Space-Times: TsT Transformations and Thermodynamics |

Field theory on Schrödinger space-time |

From D3-Branes to Lifshitz Space-Times |

Geometry of Schrodinger Space-Times II: Particle and Field Probes of the Causal Structure |

Holographic Renormalization for z=2 Lifshitz Space-Times from AdS |

On Supercurrent Superfields and Fayet-Iliopoulos Terms in N=1 Gauge Theories |

Group / person | Country |
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Types of collaboration |
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University of Waterloo | Canada (North America) |

- in-depth/constructive exchanges on approaches, methods or results - Publication - Exchange of personnel |

University of Nova Gorica | Slovenia (Europe) |

- in-depth/constructive exchanges on approaches, methods or results - Publication - Exchange of personnel |

SISSA | Italy (Europe) |

- in-depth/constructive exchanges on approaches, methods or results - Publication - Exchange of personnel |

Title | Type of contribution | Title of article or contribution | Date | Place | Persons involved |
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Workshop EISA Summer Institute on EPP and Gravity 2012 | 10.09.2012 | Corfu, Greece |

Konferenz „Symmetries, unification and the search for quantum gravity“ | 06.09.2012 | Golm (Potsdam), Germany |

Strings 2012 | 23.07.2012 | Munich, Germany |

Workshop on String Theory 2011 | 05.11.2011 | Padua, Italy |

Workshop EISA Summer Institute on EPP and Gravity 2011 | 14.09.2011 | Corfu, Greece |

Aarhus Gauge Theory Workshop | 08.08.2011 | Aarhus, Denmark |

Strings 2011 | 27.06.2011 | Uppsala, Sweden |

BSM Workshop String Phenomenology 2012 „Branes and Black Holes“ | 28.05.2011 | Cambridge, UK |

The 27th Nordic Network Meeting on „Strings, Fields and Branes“ | 24.03.2011 | Copenhagen, Denmark |

CERN Winter School on Supergravity, Strings and Gauge Theory | 24.01.2011 | Genf |

TAM 2010 | 04.10.2010 | Budva, Montenegro |

Title | Date | Place |
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GeNeZISS XVIII | 04.05.2012 | CERN, Genf |

Konferenz „Quantum Theory and Gravitation“ | 14.06.2011 | ETH, Zürich |

GeNeZISS XVII | 13.05.2011 | ETH, Zürich |

GeNeZISS XVI | 26.11.2010 | EPFL, Lausanne |

Number | Title | Start | Funding scheme |
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121711 | String Theory and Space-Time Singularities | 01.10.2008 | Project funding |

149173 | String Theory and Quantum Gravity: Holography and Black Branes | 01.10.2013 | Project funding |

One of the major unsolved problems of theoretical high energy and gravitational physics is the formulation of a consistent theory of quantum gravity and its unification with the other fundamental interactions, and one of the main motivations for research in string theory as a theory of quantum gravity is the question of what happens at classical cosmological (Big Bang) or astrophysical (Black Hole) space-time singularities. This research project consists of two parts, both providing concrete proposals to study particular aspects of this problem in the context of two distinct non-perturbative formulations of string theory:A: Plane Wave Matrix Big Bang ModelsThis is a continuation of a long-term research project. Its aim is to gain insight into the problem of string theory in singular and/or time-dependent backgrounds by combining the study of singular plane wave backgrounds as exact (and potentially exactly solvable) string theory backgrounds with powerful non-perturbative gauge theory formulations of string theory.Concretely we will be studying the non-perturbative matrix string theory description of string theory in a class of plane wave backgrounds with null singularities that arise as Penrose limits of realistic black hole or cosmological singularities. This relies crucially on previous work done by us on various classical and quantum aspects of plane waves and Penrose limits of space-time singularities. The current proposal is aimed at extending these investigations to genuinely quantum and string-theoretical issues with the aim of understanding the behaviour of matrix string theory near and at the space-time singularity.B: Geometric Aspects of the Non-relativistic AdS/CFT CorrespondenceThis is a continuation of an ongoing research project. Its aim is to gain insight into the holographic nature of quantum gravity by studying various aspects of a recently proposed non-relativistic modification of the so-called AdS/CFT correspondence (the latter providing the preeminent, and by now reasonably well understood, example of a holographic description of quantum gravity).Concretely, we will study global, geometric, and causal, aspects of the bulk(asymptotically) Schroedinger and Lifschitz space-times with non-relativistic isometry groups that have been proposed as gravitational duals of non-relativistic "boundary" field theories. This relies on previous work done by us on global coordinates for Schroedinger space-time and scalar field propagation in these coordinates. The current proposal is aimed at better understanding the somewhat unusual metric and causal properties of these space-times and their implications for holography.

Swiss National Science Foundation (SNSF)

Wildhainweg 3P.O. Box

CH-3001 Bern

Phone +41 31 308 22 22

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