Holographic line defects in F ( 4 ) gauged supergravity

Quiver gauge theories with a large number of nodes host a wealth of Wilson loop operators. Expectation values are obtained, using supersymmetric localization, for Wilson loops in the antisymmetric representations associated with each individual gauge node, for a sample of 5d long quiver gauge theories whose UV fixed points have holographic duals in Type IIB. The sample includes the TN theories and the results are uniformly given in terms of Bloch-Wigner functions. The holographic representation of the Wilson loops is identified. It comprises, for each supergravity solution, a two-parameter family of D3-branes which exactly reproduce the field theory results and identify points in the internal space with the faces of the associated 5-brane web. The expectation values of (anti)fundamental Wilson loops exhibit an enhanced scaling for many operators, which matches between field theory and supergravity.

Section: Discussionmentioning

confidence: 99%

Wilson loops in 5d long quiver gauge theories

Uhlemann

2020

“…closely related lines, AdS 2 ×S 3 × R flows to asymptotically locally AdS 6 in the UV have been constructed in [68,69], and interpreted as 1d defects in the 5d Sp(N ) fixed point theory dual to the AdS 6 Brandhuber-Oz solution [63]. We would expect that our AdS 2 × S 3 solutions to massive Type IIA bear a relation to these, thus allowing for an interpretation as D0-F1-D4 brane defects within the Sp(N ) fixed point theory living in D4'-D8 branes.…”

Section: Jhep08(2020)118mentioning

confidence: 99%

M -strings and AdS3 solutions to M-theory with small $$ \mathcal{N} $$ = (0, 4) supersymmetry

Lozano

Núñez

Ramirez

et al. 2020

We construct a general class of (small) N = (0, 4) superconformal solutions in M-theory of the form AdS 3 × S 3 /Z k × CY 2 , foliated over an interval. These solutions describe M-strings in M5-brane intersections. The M-strings support (0, 4) quiver CFTs that are in correspondence with our backgrounds. We compute the central charge and show that it scales linearly with the total number of M-strings. We introduce momentum charge, thus allowing for a description in terms of M(atrix) theory. Upon reduction to Type IIA, we find a new class of solutions with four Poincaré supercharges of the form AdS 2 × S 3 × CY 2 × I, that we extend to the massive IIA case. We generalise our constructions to provide a complete class of AdS 3 solutions to M-theory with (0,4) supersymmetry and SU(2) structure. We also construct new AdS 2 × S 3 × M 4 × I solutions to massive IIA, with M 4 a 4d Kähler manifold and four Poincaré supercharges.

“…Three-dimensional AdS backgrounds have also played an important role as holographic duals of defect CFTs. Many examples of defect CFTs have been discussed in the string JHEP04(2021)028 theory literature (for a non-exhaustive list of references on this topic see [19][20][21][22][23][24][25][26][27][28][29][30][31][32]). The typical realisation is as brane intersections ending on bound states which are known to be described by AdS vacua in the near-horizon limit.…”

Section: Introductionmentioning

confidence: 99%

New $$ \mathcal{N} $$ = (0, 4) AdS3 near-horizons in Type IIB

Faedo

Lozano

Petri

2021

We construct new families of $$ \mathcal{N} $$ N = (0, 4) AdS3 × S2 × $$ {\tilde{S}}^2 $$ S ˜ 2 × S1 backgrounds fibred over a 2d Riemann surface in Type IIB string theory. These solutions are obtained by extracting the near-horizon limit of D3-brane box configurations, consisting of D3-D5-NS5 branes ending on D5′-NS5′ background branes. We relate our families of solutions to previous AdS3 × S2 × CY2 and AdS3 × S3 × S2 solutions to Type IIA recently constructed in the literature. We construct explicit 2d quiver CFTs associated to the D3-brane box configurations, and check that the central charges match the holographic result. We extend our solutions to include D7-branes, and show that a subclass of these solutions can be interpreted in terms of D3-D5-NS5 defect branes embedded in a 5d fixed point theory. This is explicitly realised by linking our solutions to a 6d domain wall that asymptotes locally the AdS6 × S2 × Σ2 solution T-dual to the Brandhuber-Oz vacuum.