We describe an algorithmic method to calculate the T T deformed Lagrangian of a given seed theory by solving an algebraic system of equations. This method is derived from the topological gravity formulation of the deformation. This algorithm is far simpler than the direct partial differential equations needed in most earlier proposals. We present several examples, including the deformed Lagrangian of (1,1) supersymmetry. We show that this Lagrangian is offshell invariant through order λ 2 in the deformation parameter and verify its SUSY algebra through order λ.

We find 1/6 BPS string configurations in AdS 4 × CP 3 , which we identify as the duals of certain 1/6 BPS circular Wilson loops in N = 6 super Chern-Simons-matter gauge theory. We use our results to verify -in the strong coupling limit-a proposal made in arXiv:1402.4128 for a relation between the expectation value of these Wilson loops and the Bremsstrahlung function from deforming 1/2 BPS Wilson lines with a cusp. We also derive an analogous relation between the expectation value of some particular 1/12 BPS Wilson loops and the Bremsstrahlung function from deforming 1/6 BPS Wilson lines with an internal space cusp. Supersymmetric Wilson loops in N = 6 super Chern-Simons-matter theory with gauge group U (N ) × U (M ) [1, 2], also known as ABJ theory (or ABJM when M = N ), are constructed in terms of a generalized U (N M ) connection which includes a coupling to the scalar and fermionic fields of the theory [3]. Such coupling is given in terms of matrices M I J andM I J and spinors η α I andη I α , which in general depend on the parameter of the curve. Straight and circular Wilson loops, whose M I J andM I J are constant, are among the simplest supersymmetric Wilson loops. Typical examples are the 1/6 BPS Wilson loops with M I J =M I J = diag(