Large N vector quantum mechanics and bubbling supertube solutions

We propose a large N vector quantum mechanics as the theory describing a D-particle probe in bubbling supertube solutions. We compute the effective action of this quantum mechanics and show that it coincides with the D-particle action in a certain decoupling limit, up to quadratic order in the velocity. The angular momentum of the D-particle, including the contribution of the Poynting vector, is reproduced as the vacuum expectation value of the SU(2)_R current.Comment: 17pages, PTPTeX; v2: added references; v3: changed TeX style, added references; v4: minor corrections, added referenc

D-particle creation on an orientifold plane

We study the propagations of gravitational wave and D-particle on D6-brane and orientifold 6-plane backgrounds in the M-theory framework. In the case of orientifold plane, D-particle number is not conserved and gravitational wave can convert into D-particle. For the simplest case, we calculate its amplitude numerically.Comment: 10 pages + 3 eps figures, LaTeX, errors corrected and reference adde

Baryon vertices in AdS black hole backgrounds

We numerically computed the energy of QCD string junctions in non-supersymmetric SU(N) gauge theories as the energy of brane configurations in the background of AdS black hole solutions, and extracted the contribution of baryon vertices. We obtain a negative vertex energy for the three- and four-dimensional Yang-Mills theories and a vanishing vertex energy for the five-dimensional theory.Comment: 12 pages, 2 eps figures, PTPTeX; V2: minor correction

Orbifold Schur Index and IR formula

We discuss orbifold version of the Schur index defined as the supersymmetric partition function in S^3/Z_n x S^1. We first give a general formula for Lagrangian theories obtained by localization technique, and then suggest a generalization of the Cordova and Shao's IR formula. We confirm the generalized IR formula gives the correct answer for systems with free hypermultiplets if we tune the background fields so that they are invariant under the orbifold action. Unfortunately, we find disagreement for theories with dynamical vector multiplets.Comment: v3: 19 pages. References added, eq(34) corrected, and explanations improved. Version accepted for publication in PTE

Born-Infeld Action and Chern-Simons Term from Kaluza-Klein Monopole in M-theory

We investigate the zero modes of the Kaluza-Klein monopole in M-theory and show that the Born-Infeld action and the Chern-Simons term of a D6-brane are reproduced to quadratic order in the field strength of the U(1) field on the brane.Comment: 11 pages, LaTe

Baryon Mass and Phase Transitions in Large N Gauge Theory

We calculate the baryon mass in N=4 large $N$ gauge theory by means of AdS/CFT correspondence and show that it is a truly bound state, at least in some situations. We find that a phase transition occurs at a critical temperature. Furthermore, we find there are bound states of W-bosons in the Higgs phase, where the gauge group is broken to SU(N_1)xSU(N_2).Comment: 12 pages + 4 eps figure, PTPTeX style, grammatical errors corrected and Section 5 remove

String Junctions and Their Duals in Heterotic String Theory

We explicitly give the correspondence between spectra of heterotic string theory compactified on $T^2$ and string junctions in type IIB theory compactified on $S^2$.Comment: 13 pages + 4 eps figures, PTPTeX, typographical errors correcte

On String Junctions in Supersymmetric Gauge Theories

We study junctions consisting of confining strings in N=1 supersymmetric large N gauge theories by means of the gauge/gravity correspondence. We realize these junctions as D-brane configurations in infrared geometries of the Klebanov-Strassler (KS) and the Maldacena-Nunez (MN) solutions. After discussing kinematics associated with the balance of tensions, we compute the energies of baryon vertices numerically. In the KS background, baryon vertices give negative contributions to the energies. The results for the MN background strongly suggest that the energies of baryon vertices exactly vanish, as in the case of supersymmetric (p,q)-string junctions. We find that brane configurations in the MN background have a property similar to the holomorphy of the M-theory realization of (p,q)-string junctions. With the help of this property, we analytically prove the vanishing of the energies of baryon vertices in the MN background.Comment: 33 pages, 16 figures, LaTeX2e; references added, typos correcte

Branes in type 0/type II duality

We derive relations between type 0 and type II D-brane configurations under the T-duality suggested by Bergman and Gaberdiel and confirm that the massless fields on D-branes are identical to those on the dual D-brane configurations. Furthermore, we discuss dualities of type 0 and type II NS5-branes and find that the dual of an unwrapped type 0 NS5-brane is a Kaluza-Klein monopole with non-supersymmetric blow up modes.Comment: 11 pages, 2 figures, explanations added, typos correcte

A Comment on Fundamental Strings in M(atrix) Theory

We present a solution of M(atrix) theory describing type IIA fundamental string. Our construction is based on the central charge of the longitudinal membrane (= fundamental string), the BPS saturation condition and the relation between M(atrix) theory and supersymmetric Yang-Mills theory. The fundamental string corresponds to a photon in supersymmetric Yang-Mills theory.Comment: 11 pages + 2 uuencoded eps figures, LaTeX, errors corrected and arguments generalize