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The entire eigenvalue spectrum of the operators on the squashed $S^7$ that appear in the Freund-Rubin compactification of eleven-dimensional supergravity was recently derived in [1 - 4]. Here we give a brief account of this work which…

高能物理 - 理论 · 物理学 2024-12-06 Bengt E. W. Nilsson

We derive the isometry irrep content of squashed seven-sphere compactifications of eleven-dimensional supergravity, i.e., the left-squashed ($LS^7$) with ${\mathcal N}=1$ and right-squashed ($RS^7$) with ${\mathcal N}=0$ supersymmetry, in a…

高能物理 - 理论 · 物理学 2019-09-04 B. E. W. Nilsson , A. Padellaro , C. N. Pope

We derive major parts of the eigenvalue spectrum of the operators on the squashed seven-sphere that appear in the compactification of eleven-dimensional supergravity. These spectra determine the mass spectrum of the fields in $AdS_4$ and…

高能物理 - 理论 · 物理学 2022-01-05 Simon Ekhammar , Bengt E. W. Nilsson

Using canonical forms on S^7, viewed as an SU(2) bundle over S^4, we introduce consistent ansatze for the 4-form field strength of eleven-dimensional supergravity and rederive the known squashed, stretched, and the Englert solutions.…

高能物理 - 理论 · 物理学 2015-06-05 Ali Imaanpur

The squashed seven-sphere operator spectrum is completed by deriving the spectrum of the spin-3/2 operator. The implications of the results for the $AdS_4$ $\mathcal{N} = 1$ supermultiplets obtained from compactification of…

高能物理 - 理论 · 物理学 2024-02-12 Joel Karlsson , Bengt E. W. Nilsson

Four-dimensional field equations are determined for perturbations of the quotient seven-sphere size and squashing parameter in eleven-dimensional supergravity. The quotient seven-sphere is a S^1-bundle over the CP^3 which is regarded as a…

高能物理 - 理论 · 物理学 2009-04-17 Changhyun Ahn

We show how to use Exceptional Field Theory to compute the full Kaluza-Klein spectra of 10- and 11-dimensional supergravity around deformations of backgrounds of maximal gauged supergravity by scalar modes that do not form part of the…

高能物理 - 理论 · 物理学 2023-05-03 Bastien Duboeuf , Emanuel Malek , Henning Samtleben

We discuss a general pairing that occurs in compactifications of M-theory on AdS_4 x X^7 backgrounds between massless ultra short multiplets and their massive shadows, namely certain universal long multiplets with fixed protected…

高能物理 - 理论 · 物理学 2009-10-31 M. Billo` , D. Fabbri , P. Fre` , P. Merlatti , A. Zaffaroni

We generate new AdS_4 solutions of D=11 supergravity starting from AdS_4 x X_7 solutions where X_7 has U(1)^3 isometry. We consider examples where X_7 is weak G_2, Sasaki-Einstein or tri-Sasakian, corresponding to d=3 SCFTs with N=1,2 or 3…

高能物理 - 理论 · 物理学 2009-11-11 Jerome P. Gauntlett , Sangmin Lee , Toni Mateos , Daniel Waldram

A superpotential deformation that is cubic in one of the chiral superfields of ABJM makes the latter theory flow into a new, ${\cal N}=2$ superconformal phase. This is holographically dual to a warped $\textrm{AdS}_4 \times_w S^7$ solution…

高能物理 - 理论 · 物理学 2020-10-28 Mattia Cesaro , Gabriel Larios , Oscar Varela

We discuss the dimensional reduction of fermionic modes in a recently found class of consistent truncations of D=11 supergravity compactified on squashed seven-dimensional Sasaki-Einstein manifolds. Such reductions are of interest, for…

高能物理 - 理论 · 物理学 2011-03-02 Ibrahima Bah , Alberto Faraggi , Juan I. Jottar , Robert G. Leigh , Leopoldo A. Pando Zayas

We recall our work in the 1980s taking seriously the maximal eleven dimensions of supergravity, in particular the round, left squashed and right squashed $S^7$ compactifications to $D=4$ yielding $\mathcal N=8$, $\mathcal N=1$ and $\mathcal…

高能物理 - 理论 · 物理学 2025-02-12 M. J. Duff , B. E. W. Nilsson , C. N. Pope

We use group theoretic methods to calculate the spectrum of short multiplets around the extremum of N=8 gauged supergravity potential which possesses N=2 supersymmetry and SU(3) global symmetry. Upon uplifting to M-theory, it describes a…

高能物理 - 理论 · 物理学 2009-11-13 Igor Klebanov , Thomas Klose , Arvind Murugan

Maximal supergravities in ten and eleven dimensions admit consistent truncations on particular spheres to maximal supergravities in lower dimensions. Concurrently, the truncation to singlets under any subgroup of the sphere isometry group…

高能物理 - 理论 · 物理学 2024-12-19 Bastien Duboeuf , Michele Galli , Emanuel Malek , Henning Samtleben

We study supersymmetric AdS_4 x X_7 solutions of 11-dim supergravity where the tri-Sasakian space X_7 has generically U(1)^2\times SU(2)_R isometry. The compact and regular 7-dim spaces X_7=S(t_1,t_2,t_3) is originated from 8-dim…

高能物理 - 理论 · 物理学 2017-09-07 Ki-Myeong Lee , Ho-Ung Yee

We study supersymmetric $AdS_n\times \Sigma^{7-n}$, $n=2,3,4,5$ solutions in seven-dimensional maximal gauged supergravity with $CSO(p,q,5-p-q)$ and $CSO(p,q,4-p-q)$ gauge groups. These gauged supergravities are consistent truncations of…

高能物理 - 理论 · 物理学 2020-04-22 Parinya Karndumri , Patharadanai Nuchino

The landscape of possible four-dimensional low-energy effective theories arising from compactifications of string/M-theory seems vast. This might lead one to believe that any consistent-looking effective field theory coupled to gravity can…

高能物理 - 理论 · 物理学 2021-12-30 Joel Karlsson

Combining the effects of fluxes and gaugino condensation in heterotic supergravity, we use a ten-dimensional approach to find a new class of four-dimensional supersymmetric AdS compactifications on almost-Hermitian manifolds of SU(3)…

高能物理 - 理论 · 物理学 2010-12-03 Andrew R. Frey , Matthew Lippert

We study compactifications of eleven-dimensional supergravity on Calabi-Yau threefolds times a circle, with a duality twist along the circle a la Scherk-Schwarz. This leads to four-dimensional N=2 gauged supergravity with a semi-positive…

高能物理 - 理论 · 物理学 2011-06-07 Hugo Looyestijn , Erik Plauschinn , Stefan Vandoren

We study supersymmetric $AdS_4\times \Sigma_2$ and $AdS_3\times \Sigma_3$ solutions in half-maximal gauged supergravity in six dimensions with $SU(2)_R\times SU(2)$ gauge group. The gauged supergravity is obtained by coupling three vector…

高能物理 - 理论 · 物理学 2018-12-31 Parinya Karndumri
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