Abstract
We consider defects in 5d field theories corresponding to higher-rank generalizations of the {E}_{N_f+1} theories; holographically dual to the Brandhuber-Oz background in type I’ String Theory. We concentrate on codimension 2 and 1 defects, corresponding, respectively, to 3d and 4d defect Quantum Field Theories. We study holographically such defect theories by considering supersymmetric probe D4- and D6-branes in the AdS6, whose fluctuations allow us to study the spectrum of mesonic operators of the defect theories. In the case of D4-branes, we also consider wrappings in the internal space which can be regarded as generalizations of the configurations capturing the antisymmetric Wilson loop.
Highlights
Quantum Field Theories (QFT’s) in dimensions larger than four have become a very important ingredient in the modern approach to supersymmetric QFT, where they play a central role as building blocks which, upon compactification on appropriate surfaces, give rise to virtually all other lower-dimensional QFT’s
Combinations of String Theory techniques as well as exact computations relying on localization, have shown the existence of a wide class of 5d Superconformal Field Theory (SCFT)’s which are intrinsically strongly coupled, some of which admit a mass-deformation triggering a flow into an IR 5d gauge theory
A large class of AdS6 backgrounds which can be regarded as the backreacted geometry of certain families of 5-brane webs have been constructed in type IIB String Theory in [6,7,8]
Summary
Quantum Field Theories (QFT’s) in dimensions larger than four have become a very important ingredient in the modern approach to supersymmetric QFT, where they play a central role as building blocks which, upon compactification on appropriate surfaces, give rise to virtually all other lower-dimensional QFT’s. Since in particular the defect theories typically host degrees of freedom in the fundamental representation of the gauge group, defect QFT’s with a gravity dual provide a way to find a holographic description for more realistic QFT’s This has been explored in the past to study the operator content and particle masses in these theories In [48] (see [49]), codimension 3 defects leading to defect QFT’s with conformal invariance were studied upon backreaction from a supergravity point of view, finding the corresponding AdS3 backgrounds. In appendix D we compute the fluctuations for the defect D6’s
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