Two and three-point correlators of operators dual to folded string solutions at strong coupling

Abstract

A particular analytic continuation of classical string solutions having a single AdS 5 spin is considered. These solutions describe strings tunnelling from the boundary to the boundary of AdS 5 . We use the Legendre transform of the dimensionally regularised action of these solutions to evaluate the 2-point functions of the dual operators, holographically. Subsequently, we evaluate the structure coefficient of correlators involving two operators with spin S and a BPS state, at strong coupling. Our expressions are valid for any value of the AdS spin S/ √ λ and can be applied both at the case of long and short strings. For long strings and at leading order, the structure coefficient is independent of the spin S for twist J operators, while it scales as 1/ log l S √ λ for the case of operators with two equal angular momenta in S 5 . For short strings, the structure coefficient is proportional to the energy E of the string. Finally, we comment on the possibility of relating the strong coupling 3-point function coefficient of three large spin twist 2 operators to the action of the 6-gluon scattering amplitude.

Entanglement entropy of the Klebanov-Strassler model with dynamical flavors

“…We fix h 0 , in analogy with the unflavored KS solution [12], by requiring that h(τ ) goes to zero at some finite UV cut off (before reaching the Landau pole where the supergravity approximation is no longer valid) for any number of flavors. 8 In this case h 0 (N f ), as can be seen from the left plot of figure 1, is a monotonically decreasing function and as a consequence the glueball mass increases with the number of flavors.…”

“…7 In [14] the authors examined the effect of two alternative possibilities on the Wilson loops calculation. 8 See more about the effect of such a choice for the UV cutoff on the IR physical quantities in [31]. EE is even more less affected, since in (2.9) we are subtracting the contribution from the UV.…”

Correlation function of dyonic strings

“…This AdS/CFT correspondence provides a new fascinating way to understand the strong coupling region of SYM theory by investigating the dual classical gravity or string theory. Many authors calculated the three-point correlation function of various heavy operators and showed that the string theory calculations for the coupling between two heavy operators and one marginal operator exactly coincide with the results of the gauge theory [2][3][4][5][6][7][8][9][10][11][12][13][14][15]. In this paper, our goal is to investigate the correlation functions of more nontrivial solitonic strings moving in AdS 5 Â S 3 and to compare those results with ones of the gauge theory.…”

Multi-soft theorems in gauge theory from MHV diagrams

“…For example, in the case of N = 8 supergravity the double-soft limit reveals the E 7(7) symmetry algebra of the scalar 1 Another important class of observables is that of correlation functions of gauge invariant operators. For some recent progress on this front see [15][16][17][18][19][20] and references therein. 2 For detailed reviews on this and other related subjects see [21][22][23].…”