85 research outputs found
Ramond-Ramond couplings of non-BPS D-branes
We study how non-BPS type II D-branes couple to R-R potentials. Upon tachyon
condensation the couplings we find give rise to the Wess-Zumino action of BPS
D-branes.Comment: LaTeX, 8 pages, no figures; minor changes, reference added, to be
published in JHE
N=2 Instanton Calculus In Closed String Background
In this contribution we describe how to obtain instanton effects in four
dimensional gauge theories by computing string scattering amplitudes in
D3/D(-1) brane systems. In particular we study a system of fractional D3/D(-1)
branes in a Z_2 orbifold and in a Ramond-Ramond closed string background, and
show that it describes the gauge instantons of N=2 super Yang-Mills theory and
their interactions with the graviphoton of N=2. Using string theory methods we
compute the prepotential of the effective gauge theory exploiting the
localization methods of the instanton calculus, showing that this leads to the
same information given by the topological string.Comment: 12 pages, 2 figures; to appear in the proceedings of 21st
Nishinomiya-Yukawa Memorial Symposium on Theoretical Physics: Noncommutative
Geometry and Quantum Spacetime in Physics, Nishinomiya and Kyoto, Japan,
11-15 Nov 200
Deformed N=2 theories, generalized recursion relations and S-duality
We study the non-perturbative properties of N=2 super conformal field
theories in four dimensions using localization techniques. In particular we
consider SU(2) gauge theories, deformed by a generic epsilon-background, with
four fundamental flavors or with one adjoint hypermultiplet. In both cases we
explicitly compute the first few instanton corrections to the partition
function and the prepotential using Nekrasov's approach. These results allow to
reconstruct exact expressions involving quasi-modular functions of the bare
gauge coupling constant and to show that the prepotential terms satisfy a
modular anomaly equation that takes the form of a recursion relation with an
explicitly epsilon-dependent term. We then investigate the implications of this
recursion relation on the modular properties of the effective theory and find
that with a suitable redefinition of the prepotential and of the effective
coupling it is possible, at least up to the third order in the deformation
parameters, to cast the S-duality relations in the same form as they appear in
the Seiberg-Witten solution of the undeformed theory.Comment: 33 pages, no figures, LaTeX2
On the deformation of the compactified boson and its interpretation in Lattice Gauge Theory
We study the effective string description of space-like Polyakov loop
correlators at finite temperature with the goal of describing the behaviour of
the space--like string tension in the vicinity of the deconfinement transition.
To this end we construct the partition function of the Nambu-Goto effective
string theory in presence of a compact transverse direction of length equal
to the inverse temperature. We then show that, under particular conditions, our
result can be interpreted as the partition function of the
deformation of the 2d quantum field theory describing a compactified bosonic
field and that this mapping allows a deeper insight on the behaviour of the
space-like observables of the theory. In particular we show, by imposing that
the spectrum of the model obeys the inviscid Burgers equation, that the deformations follow well defined trajectories in the parameter space
of the model, where is the string tension, which are
characterized by a constant value of the dimensionless compactification radius
. We discuss the potential usefulness of these
results for studying the space--like string tension of the underlying Lattice
Gauge Theory and its behaviour across the deconfinement transition.Comment: 28 pages, 2 figures. V2: expanded comments in sections 2.2, 2.3 and
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