Georgios Linardopoulos

One-point functions of non-protected operators in the SO(5) symmetric D3–D7 dCFT

We study tree level one-point functions of non-protected scalar operators in the defect CFT, based on N=4 SYM, which is dual to the SO(5) symmetric D3-D7 probe brane system with non-vanishing instanton number. Whereas symmetries prevent operators from the SU(2) and SU(3) sub-sectors from having non-vanishing one-point functions, more general scalar conformal operators, which in particular constitute Bethe eigenstates of the integrable SO(6) spin chain, are allowed to have non-trivial one-point functions. For a series of operators with a small number of excitations we find closed expressions in terms of Bethe roots for these one-point functions, valid for any value of the instanton number. In addition, we present some numerical results for operators with more excitations.

Large-Spin Expansions of GKP Strings

A bstractWe demonstrate that the large-spin expansion of the energy of Gubser-Klebanov-Polyakov (GKP) strings that rotate in ℝ × S2 and AdS3 can be expressed in terms of Lambert’s W-function. We compute the leading, subleading and next-to-subleading series of exponential corrections to the infinite-volume dispersion relation of GKP strings that rotate in ℝ × S2. These strings are dual to the long

Scalar one-point functions and matrix product states of AdS/dCFT

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Large-Spin and Large-Winding Expansions of Giant Magnons and Single Spikes

= 4 SYM operators

Stringy membranes in AdS/CFT

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New minimal hypersurfaces in R(k+1)(2k+1) and S2k2+3k

+… and provide their scaling dimensions at strong coupling. We also show that the strings obey a short-long (strings) duality. For the folded GKP strings that spin inside AdS3 and are dual to twist-2 operators, we confirm the known formulas for the leading and next-to-leading coefficients of their anomalous dimensions and derive the corresponding expressions for the next-to-next-to-leading coefficients.

M2-brane dynamics in the classical limit of the BMN matrix model

Abstract We determine in a closed form all scalar one-point functions of the defect CFT dual to the D3–D5 probe brane system with k units of flux which amounts to calculating the overlap between a Bethe eigenstate of the integrable SO(6) spin chain and a certain matrix product state of bond dimension k. In particular, we show that the matrix product state is annihilated by all the parity odd charges of the spin chain which has recently been suggested as the criterion for such a state to correspond to an integrable initial state. Finally, we discuss the properties of the analogous matrix product state for the SO(5) symmetric D3–D7 probe brane set-up.

Large-Spin Expansions of Giant Magnons

Abstract We generalize the method of our recent paper on the large-spin expansions of Gubser–Klebanov–Polyakov (GKP) strings to the large-spin and large-winding expansions of finite-size giant magnons and finite-size single spikes. By expressing the energies of long open strings in R × S 2 in terms of Lamberts W-function, we compute the leading, subleading and next-to-subleading series of classical exponential corrections to the dispersion relations of Hofman–Maldacena giant magnons and infinite-winding single spikes. We also compute the corresponding expansions in the doubled regions of giant magnons and single spikes that are respectively obtained when their angular and linear velocities become smaller or greater than unity.

Multipole Stability of Spinning M2-branes in the Classical Limit of the BMN Matrix Model

A bstractWe study membrane configurations in AdS7/4 × S4/7. The membranes are wrapped around the compact manifold S4/7 and are dynamically equivalent to bosonic strings in AdS5. We thus conveniently identify them as “stringy membranes”. For the case of AdS7 × S4, their construction is carried out by embedding the Polyakov action for classical bosonic strings in AdS5, into the corresponding membrane action. Therefore, every string configuration in AdS5 can be realized by an appropriately chosen stringy membrane in AdS7 × S4. We discuss the possibility of this being also the case for stringy membranes in AdS4 × S7/

New minimal hypersurfaces in RAPTARABOLDITALIC(k+1)(2k+1) and SAPTARABOLDITALIC2k2+3k

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