Penrose limit, Spontaneous Symmetry Breaking and Holography in PP-Wave Background

Details Penrose limit, Spontaneous Symmetry Breaking and Holography in PP-Wave Background Penrose limit, Spontaneous Symmetry Breaking and Holography in PP-Wave Background

2002-03-18

arxiv.org/abs/hep-th/0203164v3

Phys.Rev. D66 (2002) 046002

Physics

High Energy Physics

High Energy Physics - Theory

LateX 24 pages; v2 : new subsection added about relation to usual Yang-Mills, references added

Scientific paper

10.1103/PhysRevD.66.046002

We argue that the gauge theory dual to the Type IIB string theory in ten-dimensional pp-wave background can be thought to `live' on an {\it Euclidean} subspace spanning four of the eight transverse coordinates. We then show that light-cone time evolution of the string is identifiable as the RG flow of the gauge theory -- a relation facilitating `holography' of the pp-wave background. The `holography' reorganizes the dual gauge theory into theories defined over Hilbert subspaces of fixed R-charge. The reorganization breaks the SO(4,2)$\times$SO(6) symmetry to a maximal subgroup SO(4)$\times$ SO(4) spontaneously. We argue that the low-energy string modes may be regarded as Goldstone modes resulting from such symmetry breaking pattern.

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