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String theory methods for defect CFTs
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String theory methods for defect CFTs
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We discuss string theory methods for the study of strongly coupled holographic defect conformal field theories (CFTs) which are dual to probe-brane systems. First, we examine whether the string theory duals of such defect CFTs are classically integrable. This amounts to identifying all string boundary conditions on probe branes which preserve the integrability of the underlying Green-Schwarz sigma model. Second, we compute holographic defect correlation functions with semiclassical strings. After reviewing the computation of three and higher-point functions in strongly coupled AdS/CFT, and one-point functions in its probe-brane descendants, we outline the computation of two and higher-point correlation functions in strongly coupled defect CFTs.
Forward citations
Cited by 4 Pith papers
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Holographic interpolations of defect CFTs
A D5-D7 brane configuration in AdS5 x S5 provides an interpolating holographic dual for defect CFTs, with anomaly cancellation and a conjectured SYM solution.
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Solving for the integrable boundary states of the ABJM spin chain from $KT$-relations
Integrable chiral and achiral n-site boundary states of the ABJM spin chain are obtained by solving KT-relations for elementary blocks and K(u), with nontrivial solutions for even n and operator-valued 1-site Clifford pairs.
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Chiral Integrable Boundary States of ABJM Spin Chain from Reflection Equations
A framework is proposed for 2n-site chiral integrable matrix product states in the ABJM spin chain from reflection equations, with exact overlap formulas for four-site states and numerical checks of subspaces.
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Heavy holographic correlators in defect conformal field theories
Holographic probe-brane calculations produce defect one- and two-point functions of heavy scalars that match OPE and BOE limits.
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