| 1. |
- Bao, Ling, 1980, et al.
(author)
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Rigid Calabi-Yau threefolds, Picard Eisenstein series and instantons
- 2013
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In: Journal of Physics: Conference Series. - : IOP Publishing. - 1742-6588 .- 1742-6596. ; 462:1
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Conference paper (peer-reviewed)abstract
- Type IIA string theory compactified on a rigid Calabi-Yau threefold gives rise to a classical moduli space that carries an isometric action of U(2, 1). Various quantum corrections break this continuous isometry to a discrete subgroup. Focussing on the case where the intermediate Jacobian of the Calabi-Yau admits complex multiplication by the ring of quadratic imaginary integers script O signd, we argue that the remaining quantum duality group is an arithmetic Picard modular group PU(2, 1; script O signd). Based on this proposal we construct an Eisenstein series invariant under this duality group and study its non-Abelian Fourier expansion. This allows the prediction of non-perturbative effects, notably the contribution of D2- and NS5-brane instantons. The present work extends our previous analysis in 0909.4299 which was restricted to the special case of the Gaussian integers script O sign1 = ℤ[i].
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| 2. |
- Cederwall, Martin, 1961, et al.
(author)
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D=3, N=8 conformal supergravity and the Dragon window
- 2011
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In: Journal of High Energy Physics. - 1029-8479 .- 1126-6708. ; 2011:9
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Journal article (peer-reviewed)abstract
- We give a superspace description of D=3, N=8 supergravity. The formulation is off-shell in the sense that the equations of motion are not implied by the superspace constraints (but an action principle is not given). The multiplet structure is unconventional, which we connect to the existence of a "Dragon window", that is modules occurring in the supercurvature but not in the supertorsion. According to Dragon's theorem this cannot happen above three dimensions. We clarify the relevance of this window for going on the conformal shell, and discuss some aspects of coupling to conformal matter.
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| 3. |
- Chu, X., et al.
(author)
-
Higgsing M2 to D2 with gravity: N=6 chiral supergravity from topologically gauged ABJM theory
- 2011
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In: Journal of High Energy Physics. - 1029-8479 .- 1126-6708. ; 2011:4, s. Art. no 040-
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Journal article (peer-reviewed)abstract
- We present the higgsing of three-dimensional N = 6 superconformal ABJM type theories coupled to conformal supergravity, so called topologically gauged ABJM theory, thus providing a gravitational extension of previous work on the relation between N M2 and N D2-branes. The resulting N = 6 supergravity theory appears at a chiral point similar to that of three-dimensional chiral gravity introduced recently by Li, Song and Strominger, but with the opposite sign for the Ricci scalar term in the lagrangian. We identify the supersymmetry in the broken phase as a particular linear combination of the supersymmetry and special conformal supersymmetry in the original topologically gauged ABJM theory. We also discuss the higgsing procedure in detail paying special attention to the role played by the U(1) factors in the original ABJM model and the U(1) introduced in the topological gauging.
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| 4. |
- Chu, X., et al.
(author)
-
Three-dimensional topologically gauged N=6 ABJM type theories
- 2010
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In: Journal of High Energy Physics. - 1029-8479 .- 1126-6708. ; 2010:6, s. Art. no 057-
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Journal article (peer-reviewed)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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| 5. |
- Gran, Ulf, 1973, et al.
(author)
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Off-shell structure of twisted (2,0) theory
- 2014
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In: Journal of High Energy Physics. - 1029-8479 .- 1126-6708. ; 2014:11
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Journal article (peer-reviewed)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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| 6. |
- Gran, Ulf, 1973, et al.
(author)
-
Topologically gauged superconformal Chern-Simons matter theories
- 2012
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In: Journal of High Energy Physics (JHEP). - 1126-6708 .- 1029-8479. ; :12, s. 046-
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Journal article (peer-reviewed)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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| 7. |
- Nilsson, Bengt E W, 1952
(author)
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Aspects of topologically gauged M2-branes with six supersymmetries: towards a 'sequential AdS/CFT'?
- 2012
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Journal article (other academic/artistic)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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| 8. |
- Nilsson, Bengt E W, 1952
(author)
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Critical solutions of topologically gauged N = 8 CFTs in three dimensions
- 2013
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In: ArXiv/hepth. ; , s. 1304.2270-
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Journal article (other academic/artistic)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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| 9. |
- Nilsson, Bengt E W, 1952
(author)
-
Critical solutions of topologically gauged N=8 CFTs in three dimensions
- 2014
-
In: Journal of High Energy Physics. - : Springer Science and Business Media LLC. - 1029-8479 .- 1126-6708. ; 2014:4
-
Journal article (peer-reviewed)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 mu l, where mu and l are parameters in the T M G Lagrangian. Apart from Minkowski, chiral round AdS(3) and null-warped AdS(3) (or Schrodinger(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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| 10. |
- Nilsson, Bengt E W, 1952, et al.
(author)
-
Higgsing M2 to D2 with gravity: N=6 chiral supergravity from topologically gauged ABJM theory
- 2010
-
In: arXiv:1012.5969 [hep-th].
-
Journal article (other academic/artistic)abstract
- Abstract: We present the higgsing of three-dimensional N = 6 superconformal ABJM type theories coupled to conformal supergravity, so called topologically gauged ABJM theory, thus providing a gravitational extension of previous work on the relation between N M2 and N D2-branes. The resulting N = 6 supergravity theory appears at a chiral point similar to that of three-dimensional chiral gravity introduced recently by Li, Song and Strominger, but with the opposite sign for the Ricci scalar term in the lagrangian. We identify the supersymmetry in the broken phase as a particular linear combination of the supersymmetry and special conformal supersymmetry in the original topologically gauged ABJM theory. We also discuss the higgsing procedure in detail paying special attention to the role played by the U(1) factors in the original ABJM model and the U(1) introduced in the topological gauging
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