Conformal correlators of mixed-symmetry tensors

Killing Tensors and Conformal Killing Tensors from Conformal Killing Vectors

Koutras has proposed some methods to construct reducible proper conformal Killing tensors and Killing tensors (which are, in general, irreducible) when a pair of orthogonal conformal Killing vectors exist in a given space. We give the completely general result demonstrating that this severe restriction of orthogonality is unnecessary. In addition we correct and extend some results concerning Ki...

Calogero-Sutherland eigenfunctions with mixed boundary conditions and conformal field theory correlators

We construct certain eigenfunctions of the Calogero-Sutherland hamiltonian for particles on a circle, with mixed boundary conditions. That is, the behavior of the eigenfunction, as neighbouring particles collide, depend on the pair of colliding particles. This behavior is generically a linear combination of two types of power laws, depending on the statistics of the particles involved. For fixe...

CONFORMAL TENSORS ( Second Note ) By TRAcY

1 For a description of this process and an explicit expression of the elements of T, see A. Wintner, Spektraltheorie der unendlichen matrizen, 1929, pp. 32-61. 2 These PROCEEDINGS, 17, 676-678 (1931). 8 This fact was pointed out to me by Dr. John Williamson of this department. This particular form of statement is convenient in a solution of the problem of determining the region of the complex p...

Killing Tensors from Conformal Killing Ve tors

Killing Tensors from Conformal Killing Vectors

Some years ago Koutras presented a method of constructing a conformal Killing tensor from a pair of orthogonal conformal Killing vectors. When the vector associated with the conformal Killing tensor is a gradient, a Killing tensor (in general irreducible) can then be constructed. In this paper it is shown that the severe restriction of orthogonality is unnecessary and thus it is possible that m...