A landscape of field theories

We extend a well-known D-brane construction of the AdS/dCFT correspondence to non-abelian defects. We focus on the bulk side of the correspondence and show that there exists a regime of parameters in which the low-energy description consists of two approximately decoupled sectors. The two sectors are gravity in the ambient spacetime, and a six-dimensional supersymmetric Yang-Mills theory. The Yang-Mills theory is defined on a rigid AdS 4 × S 2 background and admits sixteen supersymmetries. We also consider a one-parameter deformation that gives rise to a family of Yang-Mills theories on asymptotically AdS 4 × S 2 spacetimes, which are invariant under eight supersymmetries. With future holographic applications in mind, we analyze the vacuum structure and perturbative spectrum of the Yang-Mills theory on AdS 4 × S 2 , as well as systems of BPS equations for finite-energy solitons. Finally, we demonstrate that the classical Yang-Mills theory has a consistent truncation on the two-sphere, resulting in maximally supersymmetric Yang-Mills on AdS 4 .

Section: Domain Walls and Dyonic Octonionic Instantonssupporting

confidence: 83%

Holography for field theory solitons

Domokos

Royston

2017

“…Before proceeding, we would like to comment on a possible relation between the method of [3] and the physics of branes probing flux vacua. This has already been alluded to above, and it has been suggested previously in [18,19]. To make the relation clear, we recall in analogy the geometrization of Witten's topological twist [20].…”

Section: Introductionmentioning

confidence: 75%

Supergravity backgrounds for four-dimensional maximally supersymmetric Yang-Mills

Maxfield

2017

Self Cite

In this note, we describe supersymmetric backgrounds for the four-dimensional maximally supersymmetric Yang-Mills theory. As an extension of the method of Festuccia and Seiberg to sixteen supercharges in four dimensions, we utilize the coupling of the gauge theory to maximally extended conformal supergravity. Included among the fields of the conformal supergravity multiplet is the complexified coupling parameter of the gauge theory; therefore, backgrounds with spacetime varying coupling -such as appear in F-theory and Janus configurations -are naturally included in this formalism. We demonstrate this with a few examples from past literature.

“…(4.12) 11 Technically, we have that K = dτ − il cos 2 θ dϑ 1 + sin 2 θ dϑ 2 . However, since all auxiliary fields are imaginary, the second external gravitino is invariant under complex conjugation up to ξ − → (ξ − ) c .…”

Section: S 3 × êmentioning

confidence: 99%

“…See[11] for a discussion focusing on M5-branes 2. Non-trivial worldvolume flux is associated with non-linearly realised supersymmetries of the field theory[12].…”

mentioning

confidence: 99%

Ten-dimensional lifts of global supersymmetry on curved spaces

Minasian

Prins

2018

Admissible curved space backgrounds for four-dimensional supersymmetric field theories are determined by solving Killing spinor equations of four-dimensional off-shell supergravities. These can be obtained by combining ten-dimensional type IIB supersymmetry with D-brane kappasymmetry and identifying auxiliary fields of the four-dimensional supergravity fields in terms of type IIB fields. In this paper we show how to extend a number of solutions of four-dimensional Killing spinor equations with four or less supercharges to solutions of the ten-dimensional supersymmetry constraints.