Abstract
In this paper we describe a pseudoscalar subsector of the Klebanov-Strassler model. This subsector completes the holographic reconstruction of the spectrum of the lowest-lying glueball states, which are singlet under the global symmetry group SU(2) × SU(2). We derive the linearized supergravity equations for the pseudoscalar fluctuations and analyze their spectrum. The system of equations is shown to be compatible with six eigenmodes, as expected from supersymmetry. Our numerical analysis allows to reliably extract four of the corresponding towers. Their values match well the eigenvalues of the 0++ scalar states known from an earlier work. Assuming the masses of 0++ as a reference, we compare the lightest states of the holographic spectrum with lattice calculations in the quenched QCD at Nc = 3 and Nc = ∞.
Highlights
Spontaneous breaking is responsible for the presence of the Goldstone modes of U(1)B and for the corresponding tower of light states
In this paper we describe a pseudoscalar subsector of the Klebanov-Strassler model. This subsector completes the holographic reconstruction of the spectrum of the lowest-lying glueball states, which are singlet under the global symmetry group SU(2) × SU(2)
The KS theory is constructed as a solution of type IIB supergravity equations on AdS5 × T 1,1, where T 1,1 is the space S3 × S2 with a special choice of the metric compatible with N = 1 supersymmetry
Summary
Holographic approach [40,41,42] provides a powerful tool to analyze a few explicitly known interacting gauge theories in the regime of extremely strong coupling, for reviews see [43,44,45,46,47]. The spectrum of light states in a theory can be extracted from classical gravity equations. We describe a specific gravity system found by Klebanov and Strassler [1], based on earlier developments in [2,3,4,5], dual to a N = 1 supersymmetric gauge theory with large number of colors at strong coupling
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