TY - JOUR
AU1 - Zhu, Xuwen
AB - We study the 11-dimensional supergravity equations which describe a low-energy approximation to string theories and are related to M-theory under the AdS/CFT correspondence. These equations take the form of a nonlinear differential system, on
$$\mathbb B^7\times \mathbb S^4$$
B
7
×
S
4
with the characteristic degeneracy at the boundary of an edge system, associated with the fibration with fiber
$$\mathbb S^4.$$
S
4
.
We compute the indicial roots of the linearized system from the Hodge decomposition of the 4-sphere following the work of Kantor, and then using the edge calculus and scattering theory, we prove that the moduli space of solutions, near the Freund–Rubin states, is parametrized by three pairs of data on the bounding 6-sphere.
TI - The Eleven-Dimensional Supergravity Equations on Edge Manifolds
JF - Annales Henri Poincaré
DO - 10.1007/s00023-018-0689-z
DA - 2018-05-30
UR - https://www.deepdyve.com/lp/springer-journals/the-eleven-dimensional-supergravity-equations-on-edge-manifolds-qEKWrJDzIm
SP - 2347
EP - 2400
VL - 19
IS - 8
DP - DeepDyve