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S 2 × S 3 geometries in ABJM and giant gravitons

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Abstract

We construct a new NS5-brane solution in AdS 4 × \( \mathbb{C}{{\mathbb{P}}^3} \) with S 2 × S 3 topology. This solution belongs to the general class of non-Einstein N 11 metrics to which T 1,1 belongs, and carries a non-vanishing D0-brane charge. In eleven dimensions it gives rise to a squashed S 2 × S 3 M5-brane giant graviton which is now of the N 10 type. The energies of both solutions satisfy the BPS bound E = kQ/2, indicating supersymmetric configurations, where Q is interpreted as D0-brane charge for the NS5-brane and as angular momentum for the dynamically stable M5-brane giant graviton. The ground state is degenerate with a spherical D2 or M2-brane, rather than with a point-like object. Moreover, while the charge of the spherical 2-brane can be arbitrary, the charge of the S 2 × S 3 5-brane is bounded by N/2, with N the rank of the ABJM gauge group, a manifestation of the stringy exclusion principle. A microscopic description, suitable for the study of the finite ’t Hooft coupling region, is provided in terms of spherical D2 or M2-branes expanding into fuzzy 3-spheres.

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Authors and Affiliations

  1. Departamento de Física, Universidad de Oviedo, Avda. Calvo Sotelo 18, 33007, Oviedo, Spain

    Yolanda Lozano

  2. Department of Mathematics, University of Surrey, Guildford, GU2 7XH, U.K.

    Andrea Prinsloo

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  1. Yolanda Lozano
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  2. Andrea Prinsloo
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Correspondence to Andrea Prinsloo.

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ArXiv ePrint: 1303.3748

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Lozano, Y., Prinsloo, A. S 2 × S 3 geometries in ABJM and giant gravitons. J. High Energ. Phys. 2013, 148 (2013). https://doi.org/10.1007/JHEP04(2013)148

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