On the conformal symmetry of exceptional scalar theories

The DBI and special galileon theories exhibit a conformal symmetry at unphysical values of the spacetime dimension. We find Lagrangian form this symmetry. transformations are non-linearly realized on fields, even though is unbroken. Commuting with extended shift symmetries, we new which when taken together symmetries close into larger algebra. For algebra higher dimensional bulk in brane embedding view DBI. it real linear also Weyl corresponding to as well necessary improvement terms make invariant, second order coupling case lowest case.