Gauge-string duality for superconformal deformations of N=4 super Yang-Mills theory
By S. Frolov, R. Roiban, A. Tseytlin. 2005
271 citations recorded by the source corpus.
We analyze in detail the relation between an exactly marginal deformation of N=4 SYM - the Leigh-Strassler or ``beta-deformation'' - and its string theory dual (recently constructed in hep-th/0502086) by comparing energies of semiclassical strings to anomalous dimensions of gauge-theory operators in the two-scalar sector. We stress the existence of integrable structures on the two sides of the duality. In particular, we argue that the integrability of strings in AdS_5 x S^5 implies the integrability of the deformed world sheet theory with real deformation parameter. We compare the fast string limit of the worldsheet action in the sector with two angular momenta with the continuum limit of the coherent state action of an anisotropic XXZ spin chain describing the one-loop anomalous dimensions of the corresponding operators and find a remarkable agreement for all values of the deformation parameter. We discuss some of the properties of the Bethe Ansatz for this spin chain, solve the Bethe equations for small number of excitations and comment on higher loop properties of the dilatation operator. With the goal of going beyond the leading order in the 't Hooft expansion we derive the analog of the Bethe equations on the string-theory side, and show that they coincide with the thermodynamic limit of the Bethe equations for the spin chain. We also compute the 1/J corrections to the anomalous dimensions of operators with large R-charge (corresponding to strings with angular momentum J) and match them to the 1-loop corrections to the fast string energies. Our results suggest that the impressive agreement between the gauge theory and semiclassical strings in AdS_5 x S^5 is part of a larger picture underlying the gauge/gravity duality.
Subfields: Nuclear and High Energy Physics, Political Science and International Relations
View Paper: https://www.semanticscholar.org/paper/88a31615b69706aef25265ad96ba75dd2aeb6a04
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Citations in the corpus
- Quantum spinning strings in AdS_4 x CP^3: testing the Bethe Ansatz proposal (2008, background): “In the β-deformed context [45, 46] the only effect of the phase βd is to shift the integer number that appears in the logarithm of the Bethe equations by βdJ .”
- Yang-Baxter deformations, AdS/CFT, and twist-noncommutative gauge theory (2015, background): “One example of such an extension is planar β-deformed SYM and the associated Lunin-Maldacena background [4–6].”
- Gauge-string duality for (non)supersymmetric deformations of N=4 super-Yang–Mills theory (2005, methodology): “On the gauge theory (spin chain) side, the limit which one takes is formally different [23, 2 ].”
- Review of AdS/CFT Integrability, Chapter IV.2: Deformations, Orbifolds and Open Boundaries (2010, methodology): “f the theory. This can indeed be done by introducing appropriate phases (\twisting") in the N= 4 SYM Bethe ansatz. In the SU(2) sector, this was performed at one loop in [10], at higher loops in [14], while the higher-loop twist for all sectors was obtained in [11]. For 3It should also be noted”
- Beauty and the twist: the Bethe ansatz for twisted = 4 SYM (2005, methodology): “This deformation is consistent with the twist [ 15 ] of the higher-loop Bethe equations in the su(2) sector [30].”
- Target space supergeometry of η and λ-deformed strings (2016, unknown): “The 1These deformations extend to any Z4-symmetric supercoset sigma model, i.e. symmetric space RR string background preserving supersymmetry. two deformations are closely related; in fact, in both cases the original symmetry algebra gets q-deformed [14, 15] (with q real and root of unity respective”
- Abelian Yang–Baxter deformations and TsT transformations (2016, background): “First, it would be interesting to consider classical solutions and associated integrable classical mechanical models for these abelian deformed models, as well as non-abelian ones, as done for the β deformation [6], and the η model in e.”
- Green-Schwarz Strings in TsT-transformed backgrounds (2005, methodology): “Various aspects of the deformed gauge and string theories, and the conjectured duality have been studied in [7, 8] by using the ideas and methods developed to test the duality between the undeformed models [9, 10].”