Selfdual strings and loop space Nahm equations

Gustavsson, Andreas

doi:10.1088/1126-6708/2008/04/083

Cited by 244 publications

(281 citation statements)

References 23 publications

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“…Subsequent work [4][5][6] revealed that such CSm theories, which can be generalized to SU(N )×SU(M ) [7,8], are equivalent to theories constructed using three-algebras whose structure constants enjoy lesser symmetry compared with that of the BLG theory.…”

Section: Jhep11(2013)050mentioning

confidence: 99%

“…This is the SO(4) = SU(2) × SU(2) threealgebra that was constructed by BLG [4][5][6]. More generally, we will refer to the theory with g = −g and totally antisymmetric f abcd as BLG-type theories.…”

Section: Jhep11(2013)050mentioning

confidence: 99%

“…(2.19). Similarly, the bi-fundamental formalism does not take into account the relations of the finite-rank gauge group SU(2) × SU(2) = SO (4).…”

Section: Blg-type Partial Amplitudesmentioning

confidence: 99%

“…In fact, to make up for the mismatch, the gauge dependence can be pushed into two redundant numerators; one can think of them as "pure gauges". Choosing n 3 and n 4 as the redundant numerators, one can explicitly solve n i in terms of A (2) , A (4) , A (5) as well as n 3 and n 4 ; that is, n * j = n * j (A (i) , n 3 , n 4 ). Substituting the solution n j → n * j into 13) we find that the "pure gauges" n 3 and n 4 drop out, and eq.…”

Section: Jhep11(2013)050mentioning

confidence: 99%

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On three-algebra and bi-fundamental matter amplitudes and integrability of supergravity

Huang

Johansson

Lee

2013

J. High Energ. Phys.

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We explore tree-level amplitude relations for SU(N )×SU(M ) bi-fundamental matter theories. Embedding the group-theory structure in a Lie three-algebra, we derive Kleiss-Kuijf-like relations for bi-fundamental matter theories in general dimension. We investigate the three-algebra color-kinematics duality for these theories. Unlike the YangMills two-algebra case, the three-algebra Bern-Carrasco-Johansson relations depend on the spacetime dimension and on the detailed symmetry properties of the structure constants. We find the presence of such relations in three and two dimensions, and absence in D > 3. Surprisingly, beyond six point, such relations are absent in the Aharony-Bergman-JafferisMaldacena theory for general gauge group, while the Bagger-Lambert-Gustavsson theory, and its supersymmetry truncations, obey the color-kinematics duality like clockwork. At four and six points the relevant partial amplitudes of the two theories are bijectively related, explaining previous results in the literature. In D = 2 the color-kinematics duality gives results consistent with integrability of two-dimensional N = 16 supergravity: the four-point amplitude satisfies a Yang-Baxter equation; the six-and eight-point amplitudes vanish for certain kinematics away from factorization channels, as expected from integrability.

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Section: Jhep11(2013)050mentioning

confidence: 99%

Section: Jhep11(2013)050mentioning

confidence: 99%

“…(2.19). Similarly, the bi-fundamental formalism does not take into account the relations of the finite-rank gauge group SU(2) × SU(2) = SO (4).…”

Section: Blg-type Partial Amplitudesmentioning

confidence: 99%

Section: Jhep11(2013)050mentioning

confidence: 99%

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On three-algebra and bi-fundamental matter amplitudes and integrability of supergravity

Huang

Johansson

Lee

2013

J. High Energ. Phys.

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“…The first one is based on the Lie superalgebra F (4). The embedding tensor reads (where a, b, .. refer to the spinor representation 8 of SO (7) and α, β, .. denote an SL(2) doublet)…”

Section: Solving the Constraintsmentioning

confidence: 99%

Supersymmetric gauge theories in three dimensions

Bergshoeff¹,

Hohm

2009

Fortschritte der Physik

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We show how superconformal gaugings in three dimensions can be systematically constructed using the embedding tensor technique. These gaugings have been argued to describe the worldvolume theory of multiple M2‐branes. Applying our technique we construct the most general superconformal gaugings with 𝒩 = 5, 6 and 8 supersymmetry. In the case of 𝒩 = 5 supersymmetry we find three exceptional gaugings. We briefly discuss new developments concerning the massive deformations of the superconformal gauge theories.

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The lack of large compact symmetric objects

Augusto

2009

Astron Nachr

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In recent years, 'baby' (< 10 3 yr) and 'young' (10 3 -10 5 yr) radio galaxies have been found and classified, although their numbers are still small (tens). Also, they have many different names, depending on the type of survey and scientific context in which they were found: compact steep spectrum sources (CSS), giga-Hertz peaked spectrum sources (GPS) and compact-medium symmetric objects (C-MSO). The latter have the radio galaxy structure more obvious and correspond to the 'babies' (CSOs; < 1 kpc) and 'young' (MSOs; 1-15 kpc) radio galaxies. The log-size distribution of CSOs shows a sharp drop at 0.3 kpc. This trend continues through flat-spectrum MSOs (over the full 1-15 kpc size range). In order to find out if this lack of large CSOs and flat-spectrum MSOs is due to poor sampling (lack of surveys that probe efficiently the 0.3-15 kpc size range) and/or has physical meaning (e.g. if the lobes of CSOs expand as they grow and age, they might become CSSs, 'disappearing' from the flat-spectrum MSO statistics), we have built a sample of 157 flat-spectrum radio sources with structure on ∼0.3-15 kpc scales. We are using new, archived and published data to produce and inspect hundreds of multi-frequency multi-instrument maps and models. We have already found 13 new secure CSO/MSOs. We expect to uncover ∼30-40 new CSOs and MSOs, most on the 0.3-15 kpc size range, when our project is complete.

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Selfdual strings and loop space Nahm equations

Cited by 244 publications

References 23 publications

On three-algebra and bi-fundamental matter amplitudes and integrability of supergravity

On three-algebra and bi-fundamental matter amplitudes and integrability of supergravity

Supersymmetric gauge theories in three dimensions

The lack of large compact symmetric objects

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