L. Baulieu (LPTHE Paris): |
Twisted supersymmetry and new results on maximal supersymmetry |
G. Cardoso (Lisbon): |
BPS black holes, the Hesse potential, and the topological string
The free energy of four-dimensional BPS black holes is given by the generalized
Hesse potential. We construct new variables for the Hesse potential,
and we exhibit the relation of this Hesse potential with the functions
computed on the topological string side.
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V. Cortes (Hamburg): |
Half-flat structures and special holonomy |
B. de Wit (Utrecht): |
Understanding BPS Black Hole Entropy |
V. Fock (Strasbourg): |
TBA |
K.Gawedzki (ENS Lyon): |
Global gauge anomalies in 2D sigma models |
R. Kashaev (Geneva): |
The volume conjecture and analytic continuation of quantum Teichmuller theory
The talk will be a survey of the volume conjecture and its connection
with quantum Chern-Simons theory through the analytically continued quantum
Teichmuller theory.
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A. Kotov (Luxembourg): |
DG Lie groups, bundles, and characteristic classes
I will discuss the notion of a graded differential
Lie (super)group, that is, a graded super Lie group
supplied with a compatible homological vector field,
and its relation to gauge theory.
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C. Laurent-Gengoux (Poitiers): |
Gerbes, and connections : the Lie groupoid point of view
I shall make a review of a joined work with M. Stienon and P. Xu viewing connections on gerbes with
the help of Lie groupoids (and Lie groupoid extensions) and explain why it is stricly equivalent to
the point of view developped by L. Breen and B. Messing.
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P. Mnev (Steklov St.Petersburg): |
One-dimensional simplicial Chern-Simons theory
We will discuss one-dimensional toy version of Chern-Simons theory.
We will construct its simplicial version that comprises both the
features of low-energy effective gauge theory and of a topological
quantum field theory in the sense of Atiyah.
This talk is based on joint work with A.Alekseev.
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T. Mohaupt (Liverpool): |
From Harmonic Maps to Black Hole Solutions
The problem of constructing static solutions in theories of gravity and matter can often be reduced to the problem of
constructing a harmonic map from space-time into an auxiliary pseudo-Riemannian manifold. Explicit solutions similar
to those known in supergravity can be obtained if the metric of this auxiliary space has a potential and satisfies
certain scaling properties. We will discuss two applications: the construction of multi-centered extremal black hole
solutions and the deformation of (single-centered) extremal solutions into non-extremal solutions.
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A. Niemi (Tours): |
Gauge Boson Masses From Branes
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V. Ovsienko (ICJ Lyon): |
Quaternions, octonions and beyond: a superalgebra point of view |
D. Roytenberg (Bonn): |
The modular class of a differential graded manifold
The modular class is the simplest intrinsic characteristic class that can be
defined for any Q-manifold. For differential graded manifolds, it has a
nice interpretation in terms of the tangent complex; this generalizes
the construction, due to Evens, Lu and Weinstein, of the modular class
of a Lie algebroid, to higher Lie algebroids. For Courant algebroids with
a non-degenerate pseudometric, the modular class vanishes.
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P. Sundell (Mons): |
Quantization, geometry and background (in)dependence in high-spin theory
We describe an action principle for the Type A and B Vasiliev systems.
It is based on a sigma model for a "maximal" set of auxiliary fields and
dual potentials. The Lagrangian consists of an unbroken bulk piece plus
soft-symmetry breaking "impurities" that drive the theory into various
broken phases.
In particular, we define high-spin generalized Riemannian geometries characterized
by observables depending explicitly on a high-spin vielbein, such as minimal
areas and homotopy charges, and propose a corresponding impurity given
by a full counterpart of the Fradkin-Vasiliev action.
We finally comment on how the UV softness of the theory fits naturally
into the conjectured AdS/CFT correspondence and discuss how
effective four-dimensional low-spin theories (including gravity) can arise
on "Higgs branches" of high-spin theories.
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U. Theis (Jena): |
D-brane instantons from string dualities |
A. Tomasiello (Milan): |
The geometry of Romans mass
The "Romans mass" is a discrete parameter in type IIA supergravity.
It is perhaps the most mysterious piece of the theory: for example, it is not
known whether it has an M-theoretic interpretation. I will review some recent
progress on the effect it has on the geometry of the internal space for
supersymmetric compactifications, and on its holographic interpretation in terms
of a Chern-Simons theory.
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M. Volkov (Tours): |
Superconducting non-Abelian vortices in Weinberg--Salam theory -- electroweak thunderbolts
We present a detailed analysis of classical solutions in the bosonic sector
of the electroweak theory which describe vortices carrying a constant electric current I.
These vortices exist for any value of the Higgs boson mass and for any weak mixing angle,
and in the zero current limit they reduce to Z strings. Their current is produced by the
condensate of vector W bosons and typically it can attain billions of amperes.
It seems that the current can be arbitrarily large, due to the scale invariance of the
vector boson condensate. Finite vortex segments can transfer electric charge between
different regions of space, similarly to thunderbolts.
It is also possible that they can form loops stabilized
by the centrifugal force -- electroweak vortons.
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T. Voronov (Manchester): |
On a non-Abelian Poincaré lemma and Lie agebroids
I shall discuss a generalization of the well-known statement that a
Lie algebra valued 1-form satisfying the Maurer-Cartan equation is a
"pure gauge". If one considers arbitrary odd (pseudo)differential
forms with values in a Lie superalgebra, there is a non-Abelian version of the
homotopy identity. In particular, an odd form satisfying the Maurer-Cartan equation
on a contractible domain is gauge-equivalent to a constant. This can be applied to
Lie algebroids and their non-linear analogs.
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A. Wipf (Jena): |
Spectral sums for Dirac operators and their relevance for gauge theories
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N. Boulanger (Mons): |
Cubic interactions of higher-spin gauge fields
We review some recent and less recent progresses
on the understanding of interacting higher-spin theory, mostly at
the action level and for cubic vertices.
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P. Karndumri (Trieste): |
AdS_3 vacua and RG flows in three dimensional gauged supergravity
We study some vacua of N=4 (SO(4)xT^6)^2 gauged supergravity in three dimensions.
The target space for the scalar fields is the product of two quaternionic manifolds,
(SO(4,4)/SO(4)xSO(4))^2. Many supersymmetric AdS_3 vacua have been found, and, in particular,
we have found RG flow solutions connecting some of these vacua namely one between (3,1)
vacua and one between (2,0) vacua. The flows respect the c-theorem for the RG flows in
2D field theories.
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S. Slizovskiy (Uppsala): |
New observables in instantonic topological field theories
We consider topological quantum mechanics, which is characterized by
exact localization on instanton trajectories. The new observables correspond
to arbitrary jumps of trajectories along fibers of a fibration or along a cycle
in the group of diffeomorphisms. The examples and applications include correlators
that compute linking numbers of fibers; and averaging over the loop rotations for QM
on the loop space.
(based on joint work with Andrei Losev 0911.2928)
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A. Mikovic (Lusofona): |
Gauge-invariant actions for 2-BF theories
We review 2-groups and their relevance for physics. Then we explain how to
construct a gauge invariant action for a theory of 2-form and 1-form non-abelian gauge fields
which comes from a BF theory based on a 2-group.
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