35 research outputs found
The Strong Coupling Limit of the Scaling Function from the Quantum String Bethe Ansatz
Using the quantum string Bethe ansatz we derive the one-loop energy of a
folded string rotating with angular momenta (S,J) in AdS_3 x S^1 inside AdS_5 x
S^5 in the limit 1 << J << S, z=\lambda^(1/2) log(S/J) /(\pi J) fixed. The
one-loop energy is a sum of two contributions, one originating from the
Hernandez-Lopez phase and another one being due to spin chain finite size
effects. We find a result which at the functional level exactly matches the
result of a string theory computation. Expanding the result for large z we
obtain the strong coupling limit of the scaling function for low twist, high
spin operators of the SL(2) sector of N=4 SYM. In particular we recover the
famous -3 log(2)/\pi. Its appearance is a result of non-trivial cancellations
between the finite size effects and the Hernandez-Lopez correction.Comment: 18 pages, one figure, v2: footnote changed, v3: reference added, typo
correcte
Renormalisability of T-dualised non-homogeneous sigma-models
The quantum equivalence between -models and their non-abelian T-dualised partners is examined for a large class of four dimensional non-homogeneous and quasi-Einstein metrics with an isometry group . We prove that the one-loop renormalisability of the initial torsionless -models does still imply the one-loop renormalisability of the T-dualised torsionful model. A kind of new ``dilaton anomaly'' appears for T-dualised quasi-Einstein metrics which never occurs in the framework of T-dualised homogeneous Einstein metrics
Quasilocality of joining/splitting strings from coherent states
Using the coherent state formalism we calculate matrix elements of the
one-loop non-planar dilatation operator of SYM between operators
dual to folded Frolov-Tseytlin strings and observe a curious scaling behavior.
We comment on the {\it qualitative} similarity of our matrix elements to the
interaction vertex of a string field theory. In addition, we present a solvable
toy model for string splitting and joining. The scaling behaviour of the matrix
elements suggests that the contribution to the genus one energy shift coming
from semi-classical string splitting and joining is small.Comment: 17 pages, 7 figures in 11 file
Spin bits at two loops
We consider the Super Yang--Mills/spin system map to construct the SU(2) spin
bit model at the level of two loops in Yang--Mills perturbation theory. The
model describes a spin system with chaining interaction. In the large limit
the model is shown to be reduced to the two loop planar integrable spin chain.Comment: 10 pages, 3 figures, References and Acknowledgements adde
SL(2) spin chain and spinning strings on AdS_5xS^5
We derive the coherent state representation of the integrable spin chain
Hamiltonian with symmetry group SL(2,R). By passing to the continuum limit, we
find a spin chain sigma model describing a string moving on the hyperboloid
SL(2,R)/U(1). The same sigma model is found by considering strings rotating
with large angular momentum in AdS_5xS^5. The spinning strings are identified
with semiclassical coherent states built out of SL(2,R) spin chain states.Comment: 18 pages, 1 fig, References added. Earlier results in [38] are
pointed ou
The Hypermultiplet with Heisenberg Isometry in N=2 Global and Local Supersymmetry
The string coupling of N=2 supersymmetric compactifications of type II string
theory on a Calabi-Yau manifold belongs to the so-called universal dilaton
hypermultiplet, that has four real scalars living on a quaternion-Kaehler
manifold. Requiring Heisenberg symmetry, which is a maximal subgroup of
perturbative isometries, reduces the possible manifolds to a one-parameter
family that describes the tree-level effective action deformed by the only
possible perturbative correction arising at one-loop level. A similar argument
can be made at the level of global supersymmetry where the scalar manifold is
hyper-Kaehler. In this work, the connection between global and local
supersymmetry is explicitly constructed, providing a non-trivial gravity
decoupled limit of type II strings already in perturbation theory.Comment: 24 page
Splitting of Folded Strings in AdS_4*CP^3
We study classically splitting of two kinds of folded string solutions in
AdS_4*CP^3. Conserved charges of the produced fragments are computed for each
case. We find interesting patterns among these conserved charges.Comment: minor changes, 14 pages, no figure
Holographic 3-point function at one loop
We explore the recent weak/strong coupling match of three-point functions in
the AdS/CFT correspondence for two semi-classical operators and one light
chiral primary operator found by Escobedo et al. This match is between the
tree-level three-point function with the two semi-classical operators described
by coherent states while on the string side the three-point function is found
in the Frolov-Tseytlin limit. We compute the one-loop correction to the
three-point function on the gauge theory side and compare this to the
corresponding correction on the string theory side. We find that the
corrections do not match. Finally, we discuss the possibility of further
contributions on the gauge theory side that can alter our results.Comment: 24 pages, 2 figures. v2: Typos fixed, Ref. added, figure improved.
v3: Several typos and misprints fixed, Ref. updated, figures improved, new
section 2.3 added on correction from spin-flipped coherent state,
computations on string theory side improve
Sigma model from SU(1,1|2) spin chain
We derive the coherent state representation of the integrable spin chain
Hamiltonian with supersymmetry group . By the use of a projected
Hamiltonian onto bosonic states, we give explicitly the action of the
Hamiltonian on coherent states. Passing to the continuous
limit, we find that the corresponding bosonic sigma model is the sum of the
known SU(2) and SL(2) ones, and thus it gives a string spinning fast on
in . The full sigma model on the supercoset is given.Comment: 20 pages, no figures, 4 tables, 1 appendix; typos corrected,
references adde