Speaker
Marius de Leeuw
(NBI)
Description
In this talk I will discuss one-point functions in the defect
conformal field theory dual to a D3-D5 brane system with k
units of world volume flux. In such a set-up scalar operators
pick up a non-trivial vacuum expectation value. I will discuss
how one can use integrability to compute these one-point
functions for unprotected operators by expressing them as
overlaps between Bethe eigenstates and a matrix product
state. I will present a closed expression of determinant form
for these one-point functions valid for any value of k. In
particular, by using the transfer matrix of the Heisenberg spin
chain, one can recursively relate the matrix product state for
higher even and odd k to the matrix product state for k = 2
and k = 3. Furthermore, there is evidence that the matrix
product states for k = 2 and k = 3 are related via a ratio of
Baxter’s Q-operators.
