Minimal D = 4 $$ \mathcal{N} $$ = 2 supergravity from D = 11: an M-theory free lunch

Self Cite

Exceptional Field Theory has been recently shown to be very powerful to compute Kaluza-Klein spectra. Using these techniques, the mass matrix of Kaluza-Klein vector perturbations about a specific class of AdS4 solutions of D = 11 and massive type IIA supergravity is determined. These results are then employed to characterise the complete supersymmetric spectrum about some notable $$ \mathcal{N} $$ N = 2 and $$ \mathcal{N} $$ N = 3 AdS4 solutions in this class, which are dual to specific three-dimensional superconformal Chern-Simons field theories.

Section: Spectrum Of the N = 2 Solutionsupporting

confidence: 89%

Super-Chern-Simons spectra from exceptional field theory

Varela

2021

Self Cite

“…The solutions of [60] have both electric and magnetic flux, and should arise from M2-M5 brane systems. Analysing the respective generalised structure it will become possible to enhance the truncation to minimal gauged supergravity obtained in [11] and [61] (for the solutions of [59] and [60], respectively) by adding matter multiplets. One example of this construction has been given in [62].…”

Section: Jhep02(2021)232mentioning

confidence: 99%

$$ \mathcal{N} $$ = 2 consistent truncations from wrapped M5-branes

Josse

Petrini

Waldram

2021

We discuss consistent truncations of eleven-dimensional supergravity on a six-dimensional manifold M, preserving minimal $$ \mathcal{N} $$ N = 2 supersymmetry in five dimensions. These are based on GS ⊆ USp(6) structures for the generalised E6(6) tangent bundle on M, such that the intrinsic torsion is a constant GS singlet. We spell out the algorithm defining the full bosonic truncation ansatz and then apply this formalism to consistent truncations that contain warped AdS5×wM solutions arising from M5-branes wrapped on a Riemann surface. The generalised U(1) structure associated with the $$ \mathcal{N} $$ N = 2 solution of Maldacena-Nuñez leads to five-dimensional supergravity with four vector multiplets, one hypermultiplet and SO(3) × U(1) × ℝ gauge group. The generalised structure associated with “BBBW” solutions yields two vector multiplets, one hypermultiplet and an abelian gauging. We argue that these are the most general consistent truncations on such backgrounds.

“…(and on CPW [39,40]) beyond the linearised analysis presented here exists to this D = 4 field content. This is in agreement with the general statements of [41,42].…”

Section: Analytic Results: Short and Shadow Gravitonsmentioning

confidence: 71%

“…In addition to the D = 4 metric and gravitini, the N = 2 massless graviton multiplet contains a vector. A fully non-linear consistent truncation on GMPS [40] JHEP10(2020)041 αβ denoting the IR SCFT stress-energy operator. Masses that correspond to short multiplets (ticked in the last column) and shadow long multiplets have been given analytically: see section 3.4.…”

Section: Analytic Results: Short and Shadow Gravitonsmentioning

confidence: 99%

See 1 more Smart Citation

A cubic deformation of ABJM: the squashed, stretched, warped, and perturbed gets invaded

Cesàro

Larios

Varela

2020

Self Cite

A superpotential deformation that is cubic in one of the chiral superfields of ABJM makes the latter theory flow into a new $$ \mathcal{N} $$ N = 2 superconformal phase. This is holographically dual to a warped AdS4×wS7 solution of M-theory equipped with a squashed and stretched metric on S7. We determine the spectrum of spin-2 operators of the cubic deformation at low energies by computing the spectrum of Kaluza-Klein (KK) gravitons over the dual AdS4 solution. We calculate, numerically, the complete graviton spectrum and, analytically, the spectrum of gravitons that belong to short multiplets. We also use group theory to assess the structure of the full KK spectrum, and conclude that $$ \mathcal{N} $$ N = 2 supermultiplets cannot be allocated KK level by KK level. This phenomenon, usually referred to as “space invaders scenario”, is also known to occur for another AdS4 solution based on a different squashed S7.