Towards a tensionless string field theory for the $$ \mathcal{N}=\left(2,0\right) $$ CFT in d = 6

Abstract

We describe progress in using the field theory of tensionless strings to arrive at a Lagrangian for the six-dimensional N = (2, 0) conformal theory. We construct the free part of the theory and propose an ansatz for the cubic vertex in light-cone superspace. By requiring closure of the (2, 0) supersymmetry algebra, we fix the cubic vertex up to two parameters.

5d and 6d SCFTs have no weak coupling limit

“…Since the low energy action for a single M5-brane was constructed in [6][7][8][9][10][11][12][13][14][15], it has been a longstanding goal to construct a Lorentz-invariant supersymmetric action for multiple coincident M5-branes. Despite tremendous endeavors [16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31], such an action has not been successfully constructed. There are various no-go theorems excluding certain forms of the action [32][33][34][35][36][37][38][39][40][41], but whether such an action exists still remains inconclusive.…”