All Tree Amplitudes of 6D $(2,0)$ Supergravity: Interacting Tensor Multiplets and the $K3$ Moduli Space

W. M. Chen, Y. t. Huang and C. Wen, “From U(1) to E8: soft theorems in supergravity amplitudes,” JHEP 1503

Original

2015

Cited alongside, same era.

E. Witten, ‘Some comments on string dynamics,” hep-th/9507121

Cited in the paper.

The string-theory moduli space has singularities at fixed points of its S ​ O ​ ( 5 , 21 , ℤ ) SO(5,21;\mathbb{Z}) duality group. At such points one or more tensor multiplets are replaced by non-Lagrangian ( 2 , 0 ) (2,0) CFTs, and a perturbative analysis is no longer possible. Therefore, the amplitudes presented in this article are applicable at generic points in the moduli space where we can treat the tensor multiplets as abelian

Cited in the paper.

For the superfield of the tensor, Φ ⁡ ( η ) \Phi(\eta) , one may choose different I , J I,J ; however, only the case of I = 1 , J = 2 I=1,J=2 leads to non-vanishing results when we integrate away η ~ \tilde{\eta} ’s from the amplitudes of ( 2 , 2 ) (2,2) supergravity

Cited in the paper.

The identity may be understood by studying the zeros and singularities on both sides of the equation, we have also checked it explicitly up to n = 12 n=12

Cited in the paper.

It should be emphasized that the artificial difference between the formulas of even- and odd-point amplitudes is due to the peculiar property of 6D scattering equations in the rational map form, not specific to the chiral ( 2 , 0 ) (2,0) supergravity we consider in this article

Cited in the paper.

P. S. Aspinwall, “K3 surfaces and string duality,” [hep-th/9611137]

Cited in the paper.