12 research outputs found
Matrix Models, Monopoles and Modified Moduli
Motivated by the Dijkgraaf-Vafa correspondence, we consider the matrix model
duals of N=1 supersymmetric SU(Nc) gauge theories with Nf flavors. We
demonstrate via the matrix model solutions a relation between vacua of theories
with different numbers of colors and flavors. This relation is due to an N=2
nonrenormalization theorem which is inherited by these N=1 theories.
Specializing to the case Nf=Nc, the simplest theory containing baryons, we
demonstrate that the explicit matrix model predictions for the locations on the
Coulomb branch at which monopoles condense are consistent with the quantum
modified constraints on the moduli in the theory. The matrix model solutions
include the case that baryons obtain vacuum expectation values. In specific
cases we check explicitly that these results are also consistent with the
factorization of corresponding Seiberg-Witten curves. Certain results are
easily understood in terms of M5-brane constructions of these gauge theories.Comment: 27 pages, LaTeX, 2 figure
Note on Matrix Model with Massless Flavors
In this note, following the work of Seiberg in hep-th/0211234 for the
conjecture between the field theory and matrix model in the case with massive
fundamental flavors, we generalize it to the case with massless fundamental
flavors. We show that with a little modifications, the analysis given by
Seiberg can be used directly to the case of massless flavors. Furthermore, this
new method explains the insertion of delta functions in the matrix model given
by Demasure and Janik in hep-th/0211082.Comment: 10 pages. Type fixed. Remarks adde
N=2 Supersymmetric SO(N)/Sp(N) Gauge Theories from Matrix Model
We use the matrix model to describe the N=2 SO(N)/Sp(N) supersymmetric gauge
theories with massive hypermultiplets in the fundamental representation. By
taking the tree level superpotential perturbation made of a polynomial of a
scalar chiral multiplet, the effective action for the eigenvalues of chiral
multiplet can be obtained. By varying this action with respect to an
eigenvalue, a loop equation is obtained. By analyzing this equation, we derive
the Seiberg-Witten curve within the context of matrix model.Comment: 14pp;v2 refs added, clarified in page 4, 6 and 11 and the sign of
resolvent corrected;v3 improved in page 5 and 6 and the flavor dependent part
in the integration around P added and to appear in PR
Phases of N=1 Supersymmetric SO/Sp Gauge Theories via Matrix Model
We extend the results of Cachazo, Seiberg and Witten to N=1 supersymmetric
gauge theories with gauge groups SO(2N), SO(2N+1) and Sp(2N). By taking the
superpotential which is an arbitrary polynomial of adjoint matter \Phi as a
small perturbation of N=2 gauge theories, we examine the singular points
preserving N=1 supersymmetry in the moduli space where mutually local monopoles
become massless. We derive the matrix model complex curve for the whole range
of the degree of perturbed superpotential. Then we determine a generalized
Konishi anomaly equation implying the orientifold contribution. We turn to the
multiplication map and the confinement index K and describe both Coulomb branch
and confining branch. In particular, we construct a multiplication map from
SO(2N+1) to SO(2KN-K+2) where K is an even integer as well as a multiplication
map from SO(2N) to SO(2KN-2K+2) (K is a positive integer), a map from SO(2N+1)
to SO(2KN-K+2) (K is an odd integer) and a map from Sp(2N) to Sp(2KN+2K-2).
Finally we analyze some examples which show some duality: the same moduli space
has two different semiclassical limits corresponding to distinct gauge groups.Comment: 55pp; two paragraphs in page 19 added to clarify the relation between
confinement index and multiplication map index, refs added and to appear in
JHEP; Konishi anomaly equations corrected and some comments on the
degenerated cases for SO(7) and SO(8) adde
The Schr\"odinger Wave Functional and S-branes
In this paper we will consider the minisuperspace approach to S-branes
dynamics in the Schr\"odinger picture description. Time-evolution of vacuum
wave functional for quantum field theory on S-brane is studied. Open string
pair production is calculated. The analysis of density matrix for mixed states
is also performed.Comment: 27 page
On the property of Cachazo-Intriligator-Vafa prepotential at the extremum of the superpotential
We consider CIV-DV prepotential F for N=1 SU(n) SYM theory at the extremum of
the effective superpotential and prove the relation Comment: LaTeX, 10 pages; v2: some misprints corrected; v3: submitted to
Phys.Rev.
S-matrix elements and off-shell tachyon action with non-abelian gauge symmetry
We propose that there is a unique expansion for the string theory S-matrix
elements of tachyons that corresponds to non-abelian tachyon action. For those
S-matrix elements which, in their expansion, there are the Feynman amplitudes
resulting from the non-abelian kinetic term, we give a prescription on how to
find the expansion. The gauge invariant action is an expanded action,
and the tachyon mass which appears as coefficient of many different
couplings, is arbitrary. We then analyze in details the S-matrix element of
four tachyons and the S-matrix element of two tachyons and two gauge fields, in
both bosonic and superstring theories, in favor of this proposal. In the
superstring theory, the leading terms of the non-abelian gauge invariant
couplings are in agreement with the symmetrised trace of the direct non-abelian
generalization of the tachyonic Born-Infeld action in which the tachyon
potential is consistent with . In the bosonic
theory, on the other hand, the leading terms are those appear in superstring
case as well as some other gauge invariant couplings which spoils the
symmetrised trace prescription. These latter terms are zero in the abelian
case.Comment: Latex, 27 pages, no figures,v4:change the introduction section, add
some notes to clarify the idea, add reference
Thermal Partition Functions for S-branes
We calculate the thermal partition functions of open strings on the S-brane
backgrounds (the bouncing or rolling tachyon backgrounds) both in the bosonic
and superstring cases. According to hep-th/0302146, we consider the discretized
temperatures compatible with the pure imaginary periodicity of tachyon
profiles. The ``effective Hagedorn divergence'' is shown to appear no matter
how low temperature is chosen (including zero-temperature). This feature is
likely to be consistent with the large rate of open string pair production
discussed in hep-th/0209090 and also emission of closed string massive modes
hep-th/0303139. We also discuss the possibility to remove the divergence by
considering the space-like linear dilaton backgrounds as in hep-th/0306132.Comment: 33 pages, no figure; v2 typos corrected, a reference adde
Closed String Field Theory with Dynamical D-brane
We consider a closed string field theory with an arbitrary matter current as
a source of the closed string field. We find that the source must satisfy a
constraint equation as a consequence of the BRST invariance of the theory. We
see that it corresponds to the covariant conservation law for the matter
current, and the equation of motion together with this constraint equation
determines the classical behavior of both the closed string field and the
matter. We then consider the boundary state (D-brane) as an example of a
source. We see that the ordinary boundary state cannot be a source of the
closed string field when the string coupling g turns on. By perturbative
expansion, we derive a recursion relation which represents the bulk
backreaction and the D-brane recoil. We also make a comment on the rolling
tachyon boundary state.Comment: 30 pages, LaTeX2e, no figures. Typos are correcte