4,911 research outputs found
N=1 Super QCD and Fractional Branes
We show how to get the one-loop beta function and the chiral anomaly of N=1
Super QCD from a stack of fractional N D3-branes localized inside the
world-volume of 2M fractional D7-branes on the orbifold C^3/(Z_2 x Z_2). They
are obtained by analyzing the classical supergravity background generated by
such a brane configuration, in the spirit of the gauge/gravity correspondence.Comment: 4 pages, LaTeX. Talk given at the IXth International Symposium on
Particles, Strings and Cosmology PASCOS '03, Mumbai-India, January 3-8 2003.
To appear in a special issue of Praman
More Anomalies from Fractional Branes
In this note we show how the anomalies of both pure and matter coupled N=1,2
supersymmetric gauge theories describing the low energy dynamics of fractional
branes on orbifolds can be derived from supergravity.Comment: 11 pages, latex; v2: minor typos fixe
N=8 BPS black holes preserving 1/8 supersymmetry
In the context of N=8 supergravity we consider BPS black-holes that preserve
1/8 supersymmetry. It was shown in a previous paper that, modulo U-duality
transformations of E_{7(7)} the most general solution of this type can be
reduced to a black-hole of the STU model. In this paper we analize this
solution in detail, considering in particular its embedding in one of the
possible Special K\"ahler manifold compatible with the consistent truncations
to N=2 supergravity, this manifold being the moduli space of the T^6/Z^3
orbifold, that is: SU(3,3)/SU(3)*U(3). This construction requires a crucial use
of the Solvable Lie Algebra formalism. Once the group-theoretical analisys is
done, starting from a static, spherically symmetric ans\"atz, we find an exact
solution for all the scalars (both dilaton and axion-like) and for gauge
fields, together with their already known charge-dependent fixed values, which
yield a U-duality invariant entropy. We give also a complete translation
dictionary between the Solvable Lie Algebra and the Special K\"ahler formalisms
in order to let comparison with other papers on similar issues being more
immediate. Although the explicit solution is given in a simplified case where
the equations turn out to be more manageable, it encodes all the features of
the more general one, namely it has non-vanishing entropy and the scalar fields
have a non-trivial radial dependence.Comment: 29+1 pages, 1 Latex file; a misprint in the entropy formula,
eq.(5.14), correcte
Worldsheet instantons and (0,2) linear models
We study the stability of heterotic compactifications described by (0,2)
gauged linear sigma models with respect to worldsheet instanton corrections to
the space-time superpotential following the work of Beasley and Witten. We show
that generic models elude the vanishing theorem proved there, and may not
determine supersymmetric heterotic vacua. We then construct a subclass of
linear models for which a vanishing theorem holds, generating an extensive list
of consistent heterotic backgrounds.Comment: 21 pages; v2: minor correction
A focus on focal surfaces
We make a systematic study of the focal surface of a congruence of lines in
the projective space. Using differential techniques together with techniques
from intersection theory, we reobtain in particular all the invariants of the
focal surface (degree, class, class of its hyperplane section, sectional genus
and degrees of the nodal and cuspidal curve). We study in particular the
congruences of chords to a smooth curve and the congruences of bitangents or
flexes to a smooth surface. We find that they possess unexpected components in
their focal surface, and conjecture that they are the only ones with this
property.Comment: Plain TeX, 33 pages with no figure
Accidents in (0,2) Landau-Ginzburg theories
We study the role of accidental symmetries in two-dimensional (0,2)
superconformal field theories obtained by RG flow from (0,2) Landau-Ginzburg
theories. These accidental symmetries are ubiquitous, and, unlike in the case
of (2,2) theories, their identification is key to correctly identifying the IR
fixed point and its properties. We develop a number of tools that help to
identify such accidental symmetries in the context of (0,2) Landau-Ginzburg
models and provide a conjecture for a toric structure of the SCFT moduli space
in a large class of models. We also give a self-contained discussion of aspects
of (0,2) conformal perturbation theory.Comment: 37 pages; expanded conformal perturbation theory discussion in v2;
fixed an accident in section 3.5 in v
Supersymmetric predictions for the inclusive decay
We study the penguin induced transition in the minimal N=1
supersymmetric extension of the Standard Model with radiative breaking of the
electroweak group. We include the effects of one-loop corrections to the Higgs
potential and scalar masses. We show that the present upper and lower
experimental limits on the inclusive decay sharply constrain the parameter
space of the model in a wide range of values. The implications of
the recently advocated relation for the bilinear SUSY soft breaking
parameter in grand unified theories are also analyzed.Comment: 23 pages + 12 figures (hardcopies available on request), LATEX, SISSA
40/94/E
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