Supersymmetric Massive Gravity

We use on-shell Supersymmetry to constrain the three-point function of two massless particles and one massive particle in 3+1 dimensions. We use this information to write down the tree-level four-point function of massless particles for $$ \mathcal{N} $$ N = 1, 2 and 4 theories. In particular, we derive the expressions for four-photon/gluon amplitudes with massive higher spin exchange in theories with $$ \mathcal{N} $$ N = 4 Supersymmetry in 3+1 dimensions.

Section: Jhep06(2023)037mentioning

confidence: 99%

“…This is different from [11,16]. This method was used in [13]. 6 The key advantage of this criteria is that we get a canonically normalized propagator.…”

Section: Jhep06(2023)037mentioning

confidence: 99%

“…The expression for j = 0 can be found in [13]. The third term's decomposition in terms of irreducible representation can be found in (5.7) respectively.…”

Section: Jhep06(2023)037mentioning

confidence: 99%

Section: Conclusion and Future Directionmentioning

confidence: 99%

See 2 more Smart Citations

On-shell supersymmetry and higher-spin amplitudes

Balasubramanian¹,

Chakraborty²,

Rudra³

et al. 2023

“…After this paper was completed, the authors of[23] found that it was possible to evade this no-go result when considering more than one N = 4 supermultiplet.…”

mentioning

confidence: 99%

On extended supersymmetry of 4d Galileons and 3-brane effective actions

Elvang

Mitchell

2023

We use on-shell amplitude methods to systematically analyze the possibility of extended supersymmetry for 4d Galileon models, expanding on previous $$ \mathcal{N} $$ N = 1 results. Assuming spins ≤ 1, we prove that there exists no $$ \mathcal{N} $$ N = 4 supersymmetric extension of 4d Galileons with a single vector multiplet. Thus the Galileons cannot be part of the effective action of a single flat maximally supersymmetric D3-brane, and that explains why such terms do not appear in the α′-expansion of the abelian open superstring amplitude. For $$ \mathcal{N} $$ N = 2 Galileons, we show that the complex scalar Z = ϕ + iχ of the vector supermultiplet cannot have ϕ and χ both enjoy enhanced shift symmetry; instead, χ can at best be an R-axion with constant shift symmetry. Using the soft bootstrap, we demonstrate that the quartic DBI-Galileon is incompatible with $$ \mathcal{N} $$ N = 2 supersymmetry. A similar analysis performed at 7-point shows that a 2-parameter family of $$ \mathcal{N} $$ N = 2 supersymmetric quintic Galileons coupled with DBI passes the soft bootstrap. Finally, we show how supersymmetric couplings between Galileons and gravitons arise in generalizations of our constructions, and we conclude with a discussion of Galileons and DBI-Galileons in the context of UV-completability vs. the Swampland.

Loop amplitudes in the Coulomb branch of $$ \mathcal{N} $$ = 4 super-Yang-Mills theory

Abhishek,

Hegde,

Jatkar

et al. 2024

We study four point planar loop amplitudes at an arbitrary point in the Coulomb branch of $$ \mathcal{N} $$ N = 4 super-Yang-Mills theory. We study two particle unitary cuts up to four loop order. We explicitly verify that bubble and triangle graphs do not contribute at one loop level and show that the results hold at higher loop level as well. We also write down an all loop recursion relation for two particle reducible graphs for four point amplitudes.