991 research outputs found
Stepwise Projection: Toward Brane Setups for Generic Orbifold Singularities
The construction of brane setups for the exceptional series E6,E7,E8 of SU(2)
orbifolds remains an ever-haunting conundrum. Motivated by techniques in some
works by Muto on non-Abelian SU(3) orbifolds, we here provide an algorithmic
outlook, a method which we call stepwise projection, that may shed some light
on this puzzle. We exemplify this method, consisting of transformation rules
for obtaining complex quivers and brane setups from more elementary ones, to
the cases of the D-series and E6 finite subgroups of SU(2). Furthermore, we
demonstrate the generality of the stepwise procedure by appealing to Frobenius'
theory of Induced Representations. Our algorithm suggests the existence of
generalisations of the orientifold plane in string theory.Comment: 22 pages, 3 figure
Brane Boxes: Bending and Beta Functions
We study the type IIB brane box configurations recently introduced by Hanany
and Zaffaroni. We show that even at finite string coupling, one can construct
smooth configurations of branes with fairly arbitrary gauge and flavor
structure. Limiting our attention to the better understood case where NS-branes
do not intersect over a four dimensional surface gives some restrictions on the
theories, but still permits many examples, both anomalous and non-anomalous. We
give several explicit examples of such configurations and discuss what
constraints can be imposed on brane-box theories from bending considerations.
We also discuss the relation between brane bending and beta-functions for
brane-box configurations.Comment: latex, 18 pages, 8 figure
Brane Boxes, Anomalies, Bending and Tadpoles
Certain classes of chiral four-dimensional gauge theories may be obtained as
the worldvolume theories of D5-branes suspended between networks of NS5-branes,
the so-called brane box models. In this paper, we derive the stringy
consistency conditions placed on these models, and show that they are
equivalent to anomaly cancellation of the gauge theories. We derive these
conditions in the orbifold theories which are T-dual to the elliptic brane box
models. Specifically, we show that the expression for tadpoles for unphysical
twisted Ramond-Ramond 4-form fields in the orbifold theory are proportional to
the gauge anomalies of the brane box theory. Thus string consistency is
equivalent to worldvolume gauge anomaly cancellation. Furthermore, we find
additional cylinder amplitudes which give the -functions of the gauge
theory. We show how these correspond to bending of the NS-branes in the brane
box theory.Comment: 14 pages, 3 epsf figures. Minor changes, references adde
On the BPS Spectrum at the Root of the Higgs Branch
We study the BPS spectrum and walls of marginal stability of the
supersymmetric theory in four dimensions with gauge group SU(n)
and fundamental flavours at the root of the Higgs branch. The
strong-coupling spectrum of this theory was conjectured in hep-th/9902134 to
coincide with that of the two-dimensional supersymmetric
sigma model. Using the Kontsevich--Soibelman
wall-crossing formula, we start with the conjectured strong-coupling spectrum
and extrapolate it to all other regions of the moduli space. In the
weak-coupling regime, our results precisely agree with the semiclassical
analysis of hep-th/9902134: in addition to the usual dyons, quarks, and
bosons, if the complex masses obey a particular inequality, the resulting
weak-coupling spectrum includes a tower of bound states consisting of a dyon
and one or more quarks. In the special case of -symmetric
masses, there are bound states with one quark for odd and no bound states
for even .Comment: 11 pages, 4 figure
Brane Tilings and Specular Duality
We study a new duality which pairs 4d N=1 supersymmetric quiver gauge
theories. They are represented by brane tilings and are worldvolume theories of
D3 branes at Calabi-Yau 3-fold singularities. The new duality identifies
theories which have the same combined mesonic and baryonic moduli space,
otherwise called the master space. We obtain the associated Hilbert series
which encodes both the generators and defining relations of the moduli space.
We illustrate our findings with a set of brane tilings that have reflexive
toric diagrams.Comment: 42 pages, 16 figures, 5 table
Hilbert Series for Flavor Invariants of the Standard Model
The Hilbert series is computed for the lepton flavor invariants of the
Standard Model with three generations including the right-handed neutrino
sector needed to generate light neutrino masses via the see-saw mechanism. We
also compute the Hilbert series of the quark flavor invariants for the case of
four generations.Comment: 6 page
The Hilbert Series of the One Instanton Moduli Space
The moduli space of k G-instantons on R^4 for a classical gauge group G is
known to be given by the Higgs branch of a supersymmetric gauge theory that
lives on Dp branes probing D(p + 4) branes in Type II theories. For p = 3,
these (3 + 1) dimensional gauge theories have N = 2 supersymmetry and can be
represented by quiver diagrams. The F and D term equations coincide with the
ADHM construction. The Hilbert series of the moduli spaces of one instanton for
classical gauge groups is easy to compute and turns out to take a particularly
simple form which is previously unknown. This allows for a G invariant
character expansion and hence easily generalisable for exceptional gauge
groups, where an ADHM construction is not known. The conjectures for
exceptional groups are further checked using some new techniques like sewing
relations in Hilbert Series. This is applied to Argyres-Seiberg dualities.Comment: 43 pages, 22 figure
The Splitting of Branes on Orientifold Planes
Continuing the study in hep-th/0004092 and hep-th/0004092, we investigate a
non-trivial string dynamical process related to orientifold planes, i.e., the
splitting of physical NS-branes and D(p+2)-branes on orientifold Op-planes.
Creation or annihilation of physical Dp-branes usually accompanies the
splitting process. In the particular case p=4, we use Seiberg-Witten curves as
an independent method to check the results.Comment: 34 pages, 9 figure
Domain Walls on Singularities
We describe domain walls that live on and singularities. The
walls are BPS if the singularity is resolved and non--BPS if it is deformed and
fibered. We show that these domain walls may interpolate between vacua that
support monopoles and/or vortices.Comment: 16 pages in phyzzx.te
Quivers, Tilings, Branes and Rhombi
We describe a simple algorithm that computes the recently discovered brane
tilings for a given generic toric singular Calabi-Yau threefold. This therefore
gives AdS/CFT dual quiver gauge theories for D3-branes probing the given
non-compact manifold. The algorithm solves a longstanding problem by computing
superpotentials for these theories directly from the toric diagram of the
singularity. We study the parameter space of a-maximization; this study is made
possible by identifying the R-charges of bifundamental fields as angles in the
brane tiling. We also study Seiberg duality from a new perspective.Comment: 36 pages, 40 figures, JHEP
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