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

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Mattia Cesàro ◽  
Gabriel Larios ◽  
Oscar Varela
Keyword(s):  
Group Theory ◽  
Low Energies ◽  
M Theory ◽  
Chiral Superfields ◽  
Kaluza Klein

Abstract 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.

scholarly journals Fibre-base duality of 5d KK theories

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Andreas P. Braun ◽  
Jin Chen ◽  
Babak Haghighat ◽  
Marcus Sperling ◽  
Shuhang Yang
Keyword(s):  
Field Theory ◽  
Field Theories ◽  
Quantum Field ◽  
Explicit Dependence ◽  
Superconformal Field Theories ◽  
Study Circle ◽  
Rank 2 ◽  
M Theory ◽  
Kaluza Klein ◽  
Theory Interpretation

Abstract We study circle compactifications of 6d superconformal field theories giving rise to 5d rank 1 and rank 2 Kaluza-Klein theories. We realise the resulting theories as M-theory compactifications on local Calabi-Yau 3-folds and match the prepotentials from geometry and field theory. One novelty in our approach is that we include explicit dependence on bare gauge couplings and mass parameters in the description which in turn leads to an accurate parametrisation of the prepotential including all parameters of the field theory. We find that the resulting geometries admit “fibre-base” duality which relates their six-dimensional origin with the purely five-dimensional quantum field theory interpretation. The fibre-base duality is realised simply by swapping base and fibre curves of compact surfaces in the local Calabi-Yau which can be viewed as the total space of the anti-canonical bundle over such surfaces. Our results show that such swappings precisely occur for surfaces with a zero self-intersection of the base curve and result in an exchange of the 6d and 5d pictures.

scholarly journals SUPERGRAVITY DESCRIPTION OF FIELD THEORIES ON CURVED MANIFOLDS AND A NO GO THEOREM

2001 ◽  
Vol 16 (05) ◽  
pp. 822-855 ◽  
Author(s):  
JUAN MALDACENA ◽  
CARLOS NUÑEZ
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Riemann Surface ◽  
Riemann Surfaces ◽  
Field Theories ◽  
De Sitter ◽  
Curved Manifolds ◽  
Conformal Field ◽  
Low Energies ◽  
M Theory

In the first part of this paper we find supergravity solutions corresponding to branes on worldvolumes of the form Rd×Σ where Σ is a Riemann surface. These theories arise when we wrap branes on holomorphic Riemann surfaces inside K3 or CY manifolds. In some cases the theory at low energies is a conformal field theory with two less dimensions. We find some non-singular supersymmetric compactifications of M-theory down to AdS5. We also propose a criterion for permissible singularities in supergravity solutions. In the second part of this paper, which can be read independently of the first, we show that there are no non-singular Randall-Sundrum or de-Sitter compactifications for large class of gravity theories.

scholarly journals Loop groups, Kaluza-Klein reduction and M-theory

2005 ◽  
Vol 2005 (06) ◽  
pp. 043-043 ◽  
Author(s):  
Aaron Bergman ◽  
Uday Varadarajan
Keyword(s):  
Loop Groups ◽  
M Theory ◽  
Kaluza Klein

scholarly journals Domain Walls from M-Branes

1997 ◽  
Vol 12 (15) ◽  
pp. 1087-1094 ◽  
Author(s):  
H. Lü ◽  
C. N. Pope
Keyword(s):  
Domain Wall ◽  
Dimensional Reduction ◽  
Domain Walls ◽  
Additional Term ◽  
Cosmological Term ◽  
Domain Wall Solution ◽  
Toroidal Compactifications ◽  
Four Manifolds ◽  
M Theory ◽  
Kaluza Klein

We discuss the vertical dimensional reduction of M-sbranes to domain walls in D=7 and D=4, by dimensional reduction on Ricci-flat four-manifolds and seven-manifolds. In order to interpret the vertically-reduced five-brane as a domain wall solution of a dimensionally-reduced theory in D=7, it is necessary to generalize the usual Kaluza–Klein ansatz, so that the three-form potential in D=11 has an additional term that can generate the necessary cosmological term in D=7. We show how this can be done for general four-manifolds, extending previous results for toroidal compactifications. By contrast, no generalization of the Kaluza–Klein ansatz is necessary for the compactification of M-theory to a D=4 theory that admits the domain-wall solution coming from the membrane in D=11.

scholarly journals Kaluza - Klein electrically charged black branes in M-theory

1997 ◽  
Vol 14 (3) ◽  
pp. 603-614 ◽  
Author(s):  
Miguel S Costa ◽  
Malcolm J Perry
Keyword(s):  
M Theory ◽  
Electrically Charged ◽  
Kaluza Klein

scholarly journals The Kaluza Klein Melvin solution in M-theory

2001 ◽  
Vol 2001 (03) ◽  
pp. 027-027 ◽  
Author(s):  
Miguel S Costa ◽  
Michael Gutperle
Keyword(s):  
M Theory ◽  
Kaluza Klein

scholarly journals Born-Infeld action and Chern-Simons term from Kaluza-Klein monopole in M-theory

1997 ◽  
Vol 414 (3-4) ◽  
pp. 242-250 ◽  
Author(s):  
Yosuke Imamura
Keyword(s):  
M Theory ◽  
Chern Simons ◽  
Kaluza Klein

scholarly journals M-theory/heterotic duality: a Kaluza-Klein perspective

1999 ◽  
Vol 548 (1-3) ◽  
pp. 87-138 ◽  
Author(s):  
H. Lü ◽  
C.N. Pope ◽  
K.S. Stelle
Keyword(s):  
Heterotic Duality ◽  
M Theory ◽  
Kaluza Klein

scholarly journals Localized Kaluza-Klein 6-brane

2021 ◽  
Vol 2021 (10) ◽  
Author(s):  
Tetsuji Kimura ◽  
Shin Sasaki ◽  
Kenta Shiozawa
Keyword(s):  
Gauge Theory ◽  
Sigma Model ◽  
Three Dimensional ◽  
Linear Sigma Model ◽  
Physical Origin ◽  
Fundamental String ◽  
Extended Space ◽  
Instanton Effect ◽  
M Theory ◽  
Kaluza Klein

Abstract We study the membrane wrapping mode corrections to the Kaluza-Klein (KK) 6-brane in eleven dimensions. We examine the localized KK6-brane in the extended space in E7(7) exceptional field theory. In order to discuss the physical origin of the localization in the extended space, we consider a probe M2-brane in eleven dimensions. We show that a three-dimensional $$ \mathcal{N} $$ N = 4 gauge theory is naturally interpreted as a membrane generalization of the two-dimensional $$ \mathcal{N} $$ N = (4, 4) gauged linear sigma model for the fundamental string. We point out that the vector field in the $$ \mathcal{N} $$ N = 4 model is identified as a dual coordinate of the KK6-brane geometry. We find that the BPS vortex in the gauge theory gives rise to the violation of the isometry along the dual direction. We then show that the vortex corrections are regarded as an instanton effect in M-theory induced by the probe M2-brane wrapping around the M-circle.

PREPOTENTIALS IN TORIC AdS4 COMPACTIFICATIONS

2008 ◽  
Vol 23 (14n15) ◽  
pp. 2197-2198 ◽  
Author(s):  
SANGMIN LEE
Keyword(s):  
M Theory ◽  
Kaluza Klein

We address the question of determining the prepotential of the gauged supergravity resulting from a compactification of M-theory on AdS 4 × Y7. We make a concrete proposal for the prepotential in the case of toric Sasaki-Einstein Y7. Comparison with direct Kaluza-Klein computations show that the proposal is correct in certain cases, but requires modification in general.

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