Browsing by Subject "AdS-CFT Correspondence"
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- ItemOpen AccessABJM dibaryon spectroscopy(2011) Murugan, Jeff; Prinsloo, AndreaWe extend the proposal for a detailed map between wrapped D-branes in Anti-de Sitter space and baryon-like operators in the associated dual conformal field theory provided in hep-th/0202150 to the recently formulated AdS4xCP3/ABJM correspondence. In this example, the role of the dibaryon operator of the 3-dimensional CFT is played by a D4-brane wrapping a CP2xCP3. This topologically stable D-brane in the AdS4xCP3 is nothing but one-half of the maximal giant graviton on CP3.
- ItemOpen AccessBeyond the planar limit in ABJM(2012) de Mello Koch, Robert; Mohammed, Badr Awad Elseid; Murugan, Jeff; Prinsloo, AndreaIn this article we consider gauge theories with a U(N) × U(N) gauge group. We provide, for the first time, a complete set of operators built from scalar fields that are in the bi-fundamental of the two groups. Our operators diagonalize the two point function of the free field theory at all orders in 1/N. We then use this basis to investigate nonplanar anomalous dimensions in the ABJM theory. We show that the dilatation operator reduces to a set of decoupled harmonic oscillators, signaling integrability in a large N but non-planar limit of the theory.
- ItemOpen AccessClassical and quantum integrability in AdS 2/CFT 1(2013) Murugan, Jeff; Sundin, Per; Wulff, LinusWe investigate the type IIA string on AdS 2 × S 2 × T 6 supported by RR-flux which describes the gravitational side of the AdS 2/CFT 1 correspondence. While the four-dimensional part AdS 2 × S 2 can be realized as a supercoset, the full superstring has both coset and non-coset excitations, the latter giving rise to massless worldsheet modes, a somewhat novel feature in AdS/CFT. The string is nevertheless known to be integrable at the classical level. In this paper we perform several computations checking aspects of both classical and quantum string integrability. At the classical level we compute energies for the near BMN string and successfully match these against Bethe ansatz predictions. Furthermore, integrability dictates a magnon dispersion relation which we compare with the poles of loop corrected propagators, at both the one and two-loop level. At one loop, where only tadpole diagrams contribute, we find that the bosonic and fermionic contributions sum up to zero. Under the assumption of worldsheet supersymmetry, we then compute the two-loop sunset diagram in the near flat space limit. As in AdS 5 × S 5 we find that the result fits nicely into the sine-square structure of the dispersion relation.
- ItemOpen AccessMagnetising the N = 4 Super Yang-Mills plasma(2022-06-28) Ballon-Bayona, Alfonso; Shock, Jonathan P; Zoakos, DimitriosSee PDF file for an abstract.
- ItemOpen AccessScattering in AdS2/CFT1 and the BES phase(2013) Abbott, Michael C; Murugan, Jeff; Sundin, Per; Wulff, LinusWe study worldsheet scattering for the type IIA superstring in AdS 2 ×S 2 ×T 6. Using the Green-Schwarz action to quartic order in fermions we take the near-BMN limit, where as in the AdS3/CFT2 case there are both massive and massless excitations. For the massive excitations we compute all possible tree-level processes, and show that these agree with a truncated version of the exact AdS 5 × S 5 S-matrix. We also compute several S-matrix elements involving massless excitations. At one loop we find that the dressing phase is the same Hernándes-López phase appearing in AdS5/CFT4. We see the same phase when calculating this by semiclassical means using the PSU(1, 1 2)/U(1)2 coset sigma model, for which we can also study the scattering of fermions. This supports the conjecture that the all-loop dressing phase is again the BES phase, rather than a new phase like that seen in AdS3/CFT2.