130 research outputs found
N=1/2 quiver gauge theories from open strings with R-R fluxes
We consider a four dimensional N=1 gauge theory with bifundamental matter and
a superpotential, defined on stacks of fractional branes. By turning on a flux
for the R-R graviphoton field strength and computing open string amplitudes
with insertions of R-R closed string vertices, we introduce a
non-anticommutative deformation and obtain the N=1/2 version of the theory. We
also comment on the appearance of a new structure in the effective Lagrangian.Comment: 30 pages, 5 figures, JHEP class (included); some comments and a
reference adde
D3 instantons in Calabi-Yau orientifolds with(out) fluxes
We investigate the instanton effect due to D3 branes wrapping a four-cycle in
a Calabi-Yau orientifold with D7 branes. We study the condition for the nonzero
superpotentials from the D3 instantons. For that matter we work out the zero
mode structures of D3 branes wrapping a four-cycle both in the presence of the
fluxes and in the absence of the fluxes. In the presence of the fluxes, the
condition for the nonzero superpotential could be different from that without
the fluxes. We explicitly work out a simple example of the orientifold of with a suitable flux to show such behavior. The effects of
D3-D7 sectors are interesting and give further constraints for the nonzero
superpotential. In a special configuration where D3 branes and D7 branes wrap
the same four-cycle, multi-instanton calculus of D3 branes could be reduced to
that of a suitable field theory. The structure of D5 instantons in Type I
theory is briefly discussed.Comment: 17 pages; Typos corrected, arguments improved and references adde
Chiral Rings of Deconstructive [SU(n_c)]^N Quivers
Dimensional deconstruction of 5D SQCD with general n_c, n_f and k_CS gives
rise to 4D N=1 gauge theories with large quivers of SU(n_c) gauge factors. We
construct the chiral rings of such [SU(n_c)]^N theories, off-shell and
on-shell. Our results are broadly similar to the chiral rings of single U(n_c)
theories with both adjoint and fundamental matter, but there are also some
noteworthy differences such as nonlocal meson-like operators where the quark
and antiquark fields belong to different nodes of the quiver. And because our
gauge groups are SU(n_c) rather than U(n_c), our chiral rings also contain a
whole zoo of baryonic and antibaryonic operators.Comment: 93 pages, LaTeX, PSTricks macros; 1 reference added in v
Instantons in N=1/2 Super Yang-Mills Theory via Deformed Super ADHM Construction
We study an extension of the ADHM construction to give deformed
anti-self-dual (ASD) instantons in N=1/2 super Yang-Mills theory with U(n)
gauge group. First we extend the exterior algebra on superspace to
non(anti)commutative superspace and show that the N=1/2 super Yang-Mills theory
can be reformulated in a geometrical way. By using this exterior algebra, we
formulate a non(anti)commutative version of the super ADHM construction and
show that the curvature two-form superfields obtained by our construction do
satisfy the deformed ASD equations and thus we establish the deformed super
ADHM construction. We also show that the known deformed U(2) one instanton
solution is obtained by this construction.Comment: 32 pages, LaTeX, v2: typos corrected, references adde
D-brane Instantons on the T^6/Z_3 orientifold
We give a detailed microscopic derivation of gauge and stringy instanton
generated superpotentials for gauge theories living on D3-branes at
Z_3-orientifold singularities. Gauge instantons are generated by D(-1)-branes
and lead to Affleck, Dine and Seiberg (ADS) like superpotentials in the
effective N=1 gauge theories with three generations of bifundamental and
anti/symmetric matter. Stringy instanton effects are generated by Euclidean
ED3-branes wrapping four-cycles on T^6/\Z_3. They give rise to Majorana masses
in one case and non-renormalizable superpotentials for the other cases. Finally
we determine the conditions under which ADS like superpotentials are generated
in N=1 gauge theories with adjoints, fundamentals, symmetric and antisymmetric
chiral matter.Comment: 31 pages, no figure
Nonanticommutative Deformation of N=4 SYM Theory: The Myers Effect and Vacuum States
We propose a deformation of SYM theoery induced by
nonanticommutative star product. The deformation introduces new bosonic terms
which we identify with the corresponding Myers terms of a stack of D3-branes in
the presence of a five-form RR flux. We take this as an indication that the
deformed lagrangian describes D3-branes in such a background. The vacuum states
of the theory are also examined. In a specific case where the U(1) part of the
gauge field is nonvanishing the (anti)holomorphic transverse coordinates of the
brane sit on a fuzzy two sphere. For a supersymmetric vacuum the
antiholomorphic coordinates must necessarily commute. However, we also
encounter non-supersymmetric vacua for which the antiholomorphic coordinates do
not commute.Comment: 14 pages, minor changes, refs. adde
N=1/2 gauge theory and its instanton moduli space from open strings in R-R background
We derive the four dimensional N=1/2 super Yang-Mills theory from tree-level
computations in RNS open string theory with insertions of closed string
Ramond-Ramond vertices. We also study instanton configurations in this gauge
theory and their ADHM moduli space, using systems of D3 and D(-1) branes in a
R-R background.Comment: 29 pages, 6 figures, JHEP class (included
Non(anti)commutative N=(1,1/2) Supersymmetric U(1) Gauge Theory
We study a reduction of deformation parameters in non(anti)commutative N=2
harmonic superspace to those in non(anti)commutative N=1 superspace. By this
reduction we obtain the exact gauge and supersymmetry transformations in the
Wess-Zumino gauge of non(anti)commutative N=2 supersymmetric U(1) gauge theory
defined in the deformed harmonic superspace. We also find that the action with
the first order correction in the deformation parameter reduces to the one in
the N=1 superspace by some field redefinition. We construct deformed N=(1,1/2)
supersymmetry in N=2 supersymmetric U(1) gauge theory in non(anti)commutative
N=1 superspace.Comment: 30 pages, LaTeX, V2: a reference adde
Modular and duality properties of surface operators in N=2* gauge theories
We calculate the instanton partition function of the four-dimensional N = 2* SU(N) gauge theory in the presence of a generic surface operator, using equivariant localization. By analyzing the constraints that arise from S-duality, we show that the effective twisted superpotential, which governs the infrared dynamics of the two-dimensional theory on the surface operator, satisfies a modular anomaly equation. Exploiting the localization results, we solve this equation in terms of elliptic and quasi-modular forms which resum all non-perturbative corrections. We also show that our results, derived for monodromy defects in the four-dimensional theory, match the effective twisted superpotential describing the infrared properties of certain two-dimensional sigma models coupled either to pure
N = 2 or to N = 2* gauge theories
Proposal for non-BPS D-brane action
In this short note we would like to propose a form for the action of a
non-BPS D-brane, which will be manifestly supersymmetric invariant and
T-duality covariant. We also explicitly show that tachyon condensation on the
world-volume of this brane leads to the Dirac-Born-Infeld action for BPS
D(p-1)-brane.Comment: 13 pages, corrected some typos, replaced some comment
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