23 research outputs found
Regular and irregular boundary conditions in AdS/CFT correspondence for spinor field
In a recent paper Klebanov and Witten (hep-th/9905104) proposed to formulate
the AdS/CFT correspondence principle by taking an "irregular boundary
condition" for a scalar field. In this paper we generalize this idea to the
case of spinor field with interaction. The action functional following from the
choice of irregular boundary conditions and which must be used in the AdS/CFT
correspondence is related to the usual action by a Legendre transform. For the
new theory we found the modified Green's function that must be used for
internal lines in calculating higher order graphs. It is proved that the
considerations are valid to all orders in perturbation theory.Comment: 10 pages, one more reference and comment added, some typos correcte
Generalized pulsating strings
In this paper we consider new solutions for pulsating strings. For this
purpose we use tha idea of the generalized ansatz for folded and circular
strings in hep-th/0311004. We find the solutions to the resulting
Neumann-Rosochatius integrable system and the corrections to the energy. To do
that we use the approach developed by Minahan in hep-th/0209047 and find that
the corrections are quite different from those obtained in that paper and
hep-th/0310188. We conclude with comments on our solutions and obtained
corrections to the energy, expanded to the leading order in lambda.Comment: v.2 references added, citations corrected, 18 page
Three-point correlation functions in N=1 Super Lioville Theory
In this letter we propose exact three-point correlation functions for N=1
supersymmetric Liouville theory. Along the lines of Zamolodchikov and
Zamolodchikov paper (hep-th/9506136) we propose a generalized special function
which describe the three-point amplitudes. We consider briefly the so called
reflection amplitudes in the supersymmetric case.Comment: 12 pages, calligraphic letters in the formulae are made readable (as
in the published version
Magnon-Like Dispersion Relation from M-Theory
We investigate classical rotating membranes in two different backgrounds.
First, we obtain membrane solution in background, analogous
to the solution obtained by Hofman and Maldacena in the case of string theory.
We find a magnon type dispersion relation similar to that of Hofman and
Maldacena and to the one found by Dorey for the two spin case. In the appendix
of the paper, we consider membrane solutions in , which give
new relations between the conserved charges.Comment: 16 pages, typos corrected; V3: New section and comments added, to
appear in Nucl. Phys.
Semiclassical Strings, Dipole Deformations of N=1 SYM and Decoupling of KK Modes
In this paper we investigate the recently found -deformed
Maldacena-Nunez background by studying the behavior of different semiclassical
string configurations. This background is conjectured to be dual to dipole
deformations of SYM. We compare our results to those in the pure
Maldacena-Nunez background and show that the energies of our string
configurations are higher than in the undeformed background. Thinking in the
lines of (hep-th/0505100) we argue that this is an evidence for better
decoupling of the Kaluza-Klein modes from the pure SYM theory excitations.
Moreover we are able to find a limit of the background in which the string
energy is independent of , these strings are interpreted as
corresponding to pure gauge theory effects.Comment: 31 pages, references added, new solutions in Section 7 presented, an
appendix added, to appear in JHE
Boundary Action of N=2 Super-Liouville Theory
We derive a boundary action of N=2 super-Liouville theory which preserves
both N=2 supersymmetry and conformal symmetry by imposing explicitly and . The resulting boundary action shows a new duality
symmetry.Comment: 15 pages; One reference is adde
Rotating and Orbiting Strings in the Near-Horizon Brane Backgrounds
Using the Schwarzschild-type coordinates in stead of the global ones we
reconstruct the classical rotating closed string solutions in the AdS*5 x S*5
backgrounds. They are explicitly described by the Jacobi elliptic and
trigonometrical functions of worldsheet coordinates. We study the orbiting
closed string configurations in the near-horizon geometries of Dp, NS1 and NS5
branes, and derive the energy and spin of them, whose relation takes a simple
form for short strings. Specially in the D5 and NS5 backgrounds we have a
linear relation that the energy of the point-like string is proportional to the
spin, which is associated with the spectrum of strings in the pp-wave
geometries obtained by taking a special Penrose limit on the D5 and NS5
backgrounds.Comment: 15 pages, LaTeX, no figure
On the Classical String Solutions and String/Field Theory Duality
We classify almost all classical string configurations, considered in the
framework of the semi-classical limit of the string/gauge theory duality. Then,
we describe a procedure for obtaining the conserved quantities and the exact
classical string solutions in general string theory backgrounds, when the
string embedding coordinates depend non-linearly on the worldsheet time
parameter.Comment: LaTeX, 15 pages, no figures; V2: some typos corrected; V3: no
corrections, to appear in JHE
On the anatomy of multi-spin magnon and single spike string solutions
We study rigid string solutions rotating in background. For
particular values of the parameters of the solutions we find multispin
solutions corresponding to giant magnons and single spike strings. We present
an analysis of the dispersion relations in the case of three spin solutions
distributed only in and the case of one spin in and two spins in
. The possible relation of these string solutions to gauge theory
operators and spin chains are briefly discussed.Comment: 45 pages, the presentation rearranged in 3 sections, results
unchanged, references added, some typos correcte
Folded Three-Spin String Solutions in AdS_5 x S^5
We construct a spinning closed string solution in AdS_5 x S^5 which is folded
in the radial direction and has two equal spins in AdS_5 and a spin in S^5. The
energy expression of the three-spin solution specified by the folding and
winding numbers for the small S^5 spin shows a logarithmic behavior and a
one-third power behavior of the large total AdS_5 spin, in the long string and
in the short string located near the boundary of AdS_5 respectively. It
exhibits the non-regular expansion in the 't Hooft coupling constant, while it
takes the regular one when the S^5 spin becomes large.Comment: 14 pages, LaTeX, no figures, a reference adde