Symmetries of tree-level scattering amplitudes in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mn>6</mml:mn></mml:math>superconformal Chern-Simons theory

Bargheer, Till; Loebbert, Florian; Meneghelli, Carlo

doi:10.1103/physrevd.82.045016

Cited by 96 publications

(222 citation statements)

References 66 publications

(104 reference statements)

Supporting

Mentioning

216

Contrasting

Unclassified

Order By: Relevance

“…This results in SUSY invariants that contain different degree of Grassmann polynomials, which are difficult to analyze. One can instead use R-symmetry decomposition instead much like the x ± variables introduced in three-dimensions [37]. Explicit solutions for these projection variables at higher points may reveal new protected sectors.…”

Section: Jhep09(2015)098mentioning

confidence: 99%

See 1 more Smart Citation

Exact coefficients for higher dimensional operators with sixteen supersymmetries

Chen

Huang

Wen

2015

J. High Energ. Phys.

View full text Add to dashboard Cite

We consider constraints on higher-dimensional operators for supersymmetric effective field theories. In four dimensions with maximal supersymmetry and SU(4) Rsymmetry, we demonstrate that the coefficients of abelian operators F n with MHV helicity configurations must satisfy a recursion relation, and are completely determined by that of F 4 . As the F 4 coefficient is known to be one-loop exact, this allows us to derive exact coefficients for all such operators. We also argue that the results are consistent with the SL(2,Z) duality symmetry. Breaking SU(4) to Sp(4), in anticipation for the Coulomb branch effective action, we again find an infinite class of operators whose coefficients are determined exactly. We also consider three-dimensional N = 8 as well as six-dimensional N = (2, 0), (1, 0) and (1, 1) theories. In all cases, we demonstrate that the coefficient of dimension-six operator must be proportional to the square of that of dimension-four.

show abstract

Section: Jhep09(2015)098mentioning

confidence: 99%

“…It is rather non-trivial to check that it vanishes under the multiplicative R-symmetry generators. To simplify our task, we will follow [37] and project the fermionic variables η i on a convenient basis.…”

Section: Jhep09(2015)098mentioning

confidence: 99%

Exact coefficients for higher dimensional operators with sixteen supersymmetries

Chen

Huang

Wen

2015

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

“…Using the notation that the fundamental and anti-fundamental indices of SU(N 1 ) and SU(N 2 ) are given by ( α , α ) and (α,α) respectively, the color dressed amplitude of k matter states (Φ i )α α and k anti-matter states (Φ i ) αα , with n = 2k, is conveniently decomposed as [38] A…”

Section: Jhep11(2013)050mentioning

confidence: 99%

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

Huang

Johansson

Lee

2013

J. High Energ. Phys.

View full text Add to dashboard Cite

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.

show abstract

“…The holomorphic o(2N+2) currents are generated by the dimension one currents ψ i ψ j , the sp(2N) currents are generated by the β a β b , γ a β b and γ a γ b and the fermionic currents are of the form ψ i β a and ψ i γ a . This realisation is the affine analogue of an oszillator realisation for the horizontal subsuperalgebra for which the vanishing of the righthand side of the Serre relations is understood [58]. The current-current perturbation field O GN = J a κ baJ b transforms in the adjoint representation under both holomorphic and anti-holomorphic currents.…”

Section: (44)mentioning

confidence: 99%

Yangian superalgebras in conformal field theory

Creutzig

2011

Nuclear Physics B

View full text Add to dashboard Cite

Quantum Yangian symmetry in several sigma models with supergroup or supercoset as target is established. Starting with a two-dimensional conformal field theory that has current symmetry of a Lie superalgebra with vanishing Killing form we construct non-local charges and compute their properties. Yangian axioms are satisfied, except that the Serre relations only hold for a subsector of the space of fields. Yangian symmetry implies that correlation functions of fields in this sector satisfy Ward identities. We then show that this symmetry is preserved by certain perturbations of the conformal field theory. The main example are sigma models of the supergroups PSL(N|N), OSP(2N+2|2N) and D(2,1;α) away from the WZW point. Further there are the OSP(2N+2|2N) Gross-Neveu models and current-current perturbations of ghost systems, both for the disc as world-sheet. The latter we show to be equivalent to CP N−1|N sigma models, while the former are conjecturally dual to supersphere sigma models. *

show abstract

Symmetries of tree-level scattering amplitudes inN=6superconformal Chern-Simons theory

Cited by 96 publications

References 66 publications

Exact coefficients for higher dimensional operators with sixteen supersymmetries

Exact coefficients for higher dimensional operators with sixteen supersymmetries

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

Yangian superalgebras in conformal field theory

Contact Info

Product

Resources

About