Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-11-25
Phys.Rev. D68 (2003) 106007
Physics
High Energy Physics
High Energy Physics - Theory
46 pages, 5 figures, Latex, minor corrections to section 4.2, version published in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.68.106007
We study a defect conformal field theory describing D3-branes intersecting over two space-time dimensions. This theory admits an exact Lagrangian description which includes both two- and four-dimensional degrees of freedom, has (4,4) supersymmetry and is invariant under global conformal transformations. Both two- and four-dimensional contributions to the action are conveniently obtained in a two-dimensional (2,2) superspace. In a suitable limit, the theory has a dual description in terms of a probe D3-brane wrapping an AdS_3 x S^1 slice of AdS_5 x S^5. We consider the AdS/CFT dictionary for this set-up. In particular we find classical probe fluctuations corresponding to the holomorphic curve wy=c\alpha^{\prime}. These fluctuations are dual to defect fields containing massless two-dimensional scalars which parameterize the classical Higgs branch, but do not correspond to states in the Hilbert space of the CFT. We also identify probe fluctuations which are dual to BPS superconformal primary operators and to their descendants. A non-renormalization theorem is conjectured for the correlators of these operators, and verified to order g^2.
Constable Neil R.
Erdmenger Johanna
Guralnik Zachary
Kirsch Ingo
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