3,214 research outputs found
Pulsating strings from two dimensional CFT on
We propose a state from the two-dimensional conformal field theory on the
orbifold as a dual description for a pulsating string moving in
. We show that, up to first order in the deforming parameter, the energy
in both descriptions has the same dependence on the mode number, but with a
non-trivial function of the coupling.Comment: 10+4 pages. Misprints corrected. References added. Version published
in Nuclear Physics
Strings from large charged fields
It has been known long time ago that the low energy dynamics of open-strings
is described by non-abelian gauge theories in the same way that the low energy
effective description of closed strings is governed by Einstein's gravity. In
this short note, we review and comment on some examples where conversely, an
effective behavior of non-abelian gauge theories in some particular limits are
described by some type of extended objects like strings or branes. We constrain
the discussion to a few examples sharing some similarities.Comment: 5 pages, 1 figure, Proceedings X SILAFAE Medellin-2014. To appear in
Nuclear Physics B - Proceedings Supplement
Comments on Correlation Functions of Large Spin Operators and Null Polygonal Wilson Loops
We discuss the relation between correlation functions of twist-two large spin
operators and expectation values of Wilson loops along light-like trajectories.
After presenting some heuristic field theoretical arguments suggesting this
relation, we compute the divergent part of the correlator in the limit of large
't Hooft coupling and large spins, using a semi-classical worldsheet which
asymptotically looks like a GKP rotating string. We show this diverges as
expected from the expectation value of a null Wilson loop, namely, as
, being a cut-off of the theory.Comment: 16+3 pages, 3 figures. Computation in section 4.1 has been clarified.
Some comments on the vertex contributions has been added in section 4.2. Some
other minor corrections. Version to appear in Nucl. Phys.
Open strings on D-branes from ABJM
We study open strings on giant gravitons (D-branes on cycles) in the
ABJM/ correspondence. We find that their energy
spectrum has the same form as the one for closed strings, with a nontrivial
function of the coupling, avoiding BMN scaling. A similar, Cuntz oscillator,
Hamiltonian description for the string (operators at strong coupling) to the
case is valid also in this case.Comment: 25 pages, 4 figures; paragraph removed at end of section 2, footnotes
and references adde
Anomalous dimensions at finite conformal spin from OPE inversion
We compute anomalous dimensions of higher spin operators in Conformal Field
Theory at arbitrary space-time dimension by using the OPE inversion formula of
\cite{Caron-Huot:2017vep}, both from the position space representation as well
as from the integral (viz. Mellin) representation of the conformal blocks. The
Mellin space is advantageous over the position space not only in allowing to
write expressions agnostic to the space-time dimension, but also in that it
replaces tedious recursion relations in terms of simple sums which are easy to
perform. We evaluate the contributions of scalar and spin exchanges in the
channel exactly, in terms of higher order Hypergeometric functions. These
relate to a particular exchange of conformal spin in the
channel through the inversion formula. Our exact results reproduce the
special cases for large spin anomalous dimension and OPE coefficients obtained
previously in the literature.Comment: 37 pages, not figures, some typos corrected, acknowledgement added.
Added comments and clarifications regarding finite beta contribution
- …