| 31. |
- Chu, X., et al.
(författare)
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Three-dimensional topologically gauged N=6 ABJM type theories
- 2010
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Ingår i: Journal of High Energy Physics. - 1029-8479 .- 1126-6708. ; 2010:6, s. Art. no 057-
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Tidskriftsartikel (refereegranskat)abstract
- In this paper we construct the N = 6 conformal supergravity in three dimensions from a set of Chern-Simons-like terms one for each of the graviton, gravitino, and R-symmetry gauge field and then couple this theory to the N = 6 superconformal ABJM theory. In a first step part of the coupled Lagrangian for this topologically gauged ABJM theory is derived by demanding that all terms of third and second order in covariant derivatives cancel in the supersymmtry variation of the Lagrangian. To achieve this the transformation rules of the two separate sectors must be augmented by new terms. In a second step we analyze all terms in delta L that are of first order in covariant derivatives. The cancelation of these terms require additional terms in the transformation rules as well as a number of new terms in the Lagrangian. As a final step we check that all remaining terms in dL which are bilinear in fermions cancel which means that the presented Lagrangian and transformation rules constitute the complete answer. In particular we find in the last step new terms in the scalar potential containing either one or no structure constant. The non-derivative higher fermion terms in delta L that have not yet been completely analyzed are briefly discussed in the Conclusions. A possible connection to chiral gravity is also mentioned there.
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| 32. |
- Ekhammar, Simon, et al.
(författare)
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On the squashed seven-sphere operator spectrum
- 2021
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Ingår i: Journal of High Energy Physics. - : Springer Nature. - 1029-8479 .- 1126-6708. ; 2021:12
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Tidskriftsartikel (refereegranskat)abstract
- 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 AdS4 and are important for the corresponding N = 1 supermultiplet structure. This work is a continuation of the work in [1] where the complete spectrum of irreducible isometry representations of the fields in AdS4 was derived for this compactification. Some comments are also made concerning the G2 holonomy and its implications on the structure of the operator equations on the squashed seven-sphere.
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| 33. |
- Gran, Ulf, 1973, et al.
(författare)
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Off-shell structure of twisted (2,0) theory
- 2014
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Ingår i: Journal of High Energy Physics. - 1029-8479 .- 1126-6708. ; 2014:11
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Tidskriftsartikel (refereegranskat)abstract
- A $Q$-exact off-shell action is constructed for twisted abelian (2,0) theory on a Lorentzian six-manifold of the form $M_{1,5} = C\times M_4$, where $C$ is a flat two-manifold and $M_4$ is a general Euclidean four-manifold. The properties of this formulation, which is obtained by introducing two auxiliary fields, can be summarised by a commutative diagram where the Lagrangian and its stress-tensor arise from the $Q$-variation of two fermionic quantities $V$ and $\lambda^{\mu\nu}$. This completes and extends the analysis in [arXiv:1311.3300].
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| 34. |
- Gran, Ulf, 1973, et al.
(författare)
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On relating multiple M2 and D2-branes
- 2008
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Ingår i: Journal of High Energy Physics. - : Springer Science and Business Media LLC. - 1029-8479 .- 1126-6708. ; 2008:10
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Tidskriftsartikel (refereegranskat)abstract
- Due to the difficulties of finding superconformal Lagrangian theories for multiple M2-branes, we will in this paper instead focus on the field equations. By relaxing the requirement of a Lagrangian formulation we can explore the possibility of having structure constants fABCD satisfying the fundamental identity but which are not totally antisymmetric. We exemplify this discussion by making use of an explicit choice of a non-antisymmetric fABCD constructed from the Lie algebra structure constants fabc of an arbitrary gauge group. Although this choice of fABCD does not admit an obvious Lagrangian description, it does reproduce the correct SYM theory for a stack of N D2-branes to leading order in gYM−1 upon reduction and, moreover, it sheds new light on the centre of mass coordinates for multiple M2-branes.
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| 35. |
- Gran, Ulf, 1973, et al.
(författare)
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Three-dimensional N=8 superconformal gravity and its coupling to BLG M2-branes
- 2009
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Ingår i: Journal of High Energy Physics. - : Springer Science and Business Media LLC. - 1029-8479 .- 1126-6708. ; 2009:3
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Tidskriftsartikel (refereegranskat)abstract
- This paper is concerned with the problem of coupling the N=8 superconformal Bagger-Lambert-Gustavsson (BLG) theory to N=8 conformal supergravity in three dimensions. We start by constructing the on-shell N=8 conformal supergravity in three dimensions consisting of a Chern-Simons type term for each of the gauge fields: the spin connection, the SO(8) R-symmetry gauge field and the spin 3/2 Rarita-Schwinger (gravitino) field. We then describe how to couple this minimally to the BLG theory. The final theory should have the same physical content, i.e., degrees of freedom, as the ordinary BLG theory. We discuss briefly the properties of this "topologically gauged" BLG theory and why this theory may be useful.
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| 36. |
- Gran, Ulf, 1973, et al.
(författare)
-
Topologically gauged superconformal Chern-Simons matter theories
- 2012
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Ingår i: Journal of High Energy Physics (JHEP). - 1126-6708 .- 1029-8479. ; :12, s. 046-
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Tidskriftsartikel (refereegranskat)abstract
- By coupling N = 8 superconformal matter to N = 8 superconformal Chern-Simons gravity in three dimensions we obtain theories with novel terms in the scalar potential leading to AdS(3) solutions and superconformal symmetry breaking. If we start from the theory derived by Bagger, Lambert and Gustavsson, our coupled theory either inherits the SO(4) gauge group or reduces it to SO(3). If the construction is instead based on a free matter theory we find that the gravitational topological gauging also requires the introduction of a Chern-Simons gauge sector resulting in a consistent theory for any SO(N) gauge group.
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| 37. |
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| 38. |
- Linander, Hampus, 1985, et al.
(författare)
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The non-linear coupled spin 2 - spin 3 Cotton equation in three dimensions
- 2016
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Ingår i: Journal of High Energy Physics. - 1029-8479 .- 1126-6708. ; 2016:7
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Tidskriftsartikel (refereegranskat)abstract
- In the context of three-dimensional conformal higher spin theory we derive, in the frame field formulation, the full non-linear spin 3 Cotton equation coupled to spin 2. This is done by solving the corresponding Chern-Simons gauge theory system of equations, that is, using F=0 to eliminate all auxiliary fields and thus expressing the Cotton equation in terms of just the spin 3 frame field and spin 2 covariant derivatives and tensors (Schouten). In this derivation we neglect the spin 4 and higher spin sectors and approximate the star product commutator by a Poisson bracket. The resulting spin 3 Cotton equation is complicated but can be related to linearized versions in the metric formulation obtained previously by other authors. The expected symmetry (spin 3 "translation", "Lorentz" and "dilatation") properties are verified for Cotton and other relevant tensors but some perhaps unexpected features emerge in the process, in particular in relation to the non-linear equations. We discuss the structure of this non-linear spin 3 Cotton equation but its explicit form is only presented here, in an exact but not completely refined version, in appended files obtained by computer algebra methods. Both the frame field and metric formulations are provided.
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| 39. |
- Nilsson, Bengt E W, 1952
(författare)
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Aspects of topologically gauged M2-branes with six supersymmetries: towards a 'sequential AdS/CFT'?
- 2012
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Tidskriftsartikel (övrigt vetenskapligt/konstnärligt)abstract
- Abstract: In this note we review the construction of topologically gauged M2 branes with 6 supersymmetries and discuss some of its properties. This is done using the 3- algebra formulation thereby covering all possible gauge groups. We will elaborate upon 1) the fundamental identity and its solutions noting, provided these gauged theories describe stacks of branes, the case of a single brane, 2) the chiral point solution to the field equations (occuring even for a single brane) that breaks the superconformal symmetries down to those of AdS3 (TMG) supergravity, 3) physical parameters and how they scale in the compactification from 11d to 10d and give rise to matter theories in curved space-times, and finally 4) a more speculative comment on ”sequential AdS/CFT”. Here we propose that the superconformal symmetry breaking in topologically gauged theories leads to the sequence AdS4/CFT3 → AdS3/CFT2 and that the higgsing in the 3d boundary theory is related to a change of foliation in the AdS4 bulk theory.
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| 40. |
- Nilsson, Bengt E W, 1952
(författare)
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Critical solutions of topologically gauged N = 8 CFTs in three dimensions
- 2013
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Ingår i: ArXiv/hepth. ; , s. 1304.2270-
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Tidskriftsartikel (övrigt vetenskapligt/konstnärligt)abstract
- Abstract:In this paper we discuss some special (critical) background solutions that arise in topological gauged N = 8 three-dimensional CFTs with SO(N) gauge group. Depending on how many scalar fields are given a VEV the theory has background solutions for certain values of μl, where μ and l are parameters in the T M G Lagrangian. Apart from Minkowski, chiral round AdS3 and null-warped AdS3 (or Schro ̈dinger(z = 2)) we identify also a more exotic solution recently found in TMG by Ertl, Grumiller and Johansson. We also discuss the spectrum, symmetry breaking pattern and the supermultiplet structure in the various backgrounds and argue that some properties are due to their common origin in a conformal phase. Some of the scalar fields, including all higgsed ones, turn out to satisfy three-dimensional field equations similar to those of the singleton. Finally, we note that topologically gauged N = 6 ABJ(M) theories have a similar, but more restricted, set of background solutions.
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