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Generalised twisted partition functions

- V. Petkova, J. Zuber
- Physics
- 3 November 2000

Abstract We consider the set of partition functions that result from the insertion of twist operators compatible with conformal invariance in a given 2D conformal field theory (CFT). A consistency… Expand

Boundary conditions in rational conformal field theories

- R. Behrend, P. Pearce, V. Petkova, J. Zuber
- Physics
- 24 July 2000

We develop further the theory of RationalConformalFieldTheories (RCFTs) on a cylinder with specified boundaryconditions emphasizing the role of a triplet of algebras: the Verlinde, graph fusion and… Expand

Boundary Conditions in Rational Conformal Field Theories

- R. Behrend, P. Pearce, V. Petkova, J. Zuber
- Physics
- 4 August 1999

We develop further the theory of Rational Conformal Field Theories (RCFTs) on a cylinder with specified boundary conditions emphasizing the role of a triplet of algebras: the Verlinde, graph fusion… Expand

The many faces of Ocneanu cells

- V. Petkova, J. Zuber
- Physics
- 23 January 2001

We define generalised chiral vertex operators covariant under the Ocneanu ``double triangle algebra'' ${\cal A}\,$ a novel quantum symmetry intrinsic to a given rational 2-d conformal field theory.… Expand

All positive energy unitary irreducible representations of extended conformal supersymmetry

- V. Dobrev, V. Petkova
- Physics
- 7 November 1985

We give the list of all positive energy UIR's of the conformal superalgebra su(2, 2N). They are realized as subrepresentations of elementary representations. The latter are induced from irreducible… Expand

Dynamical derivation of vacuum operator-product expansion in Euclidean conformal quantum field theory

- V. Dobrev, V. Petkova, S. Petrova, I. Todorov
- Physics
- 15 February 1976

An expansion of the type $sub 0$ = $sub 0$ $sub 0$ + $Sigma$/sub chi/l C$sup 2$(chi/subl/) $Integral$ (dp) Q/sup chi/l (x$sub 1$,x$sub 2$;-p) w/sub chi/l(p) Q/sup chi//subl/(p;x$sub 3$,... x/subn/)… Expand

From CFT to graphs

- V. Petkova, J. Zuber
- Physics
- 24 October 1995

In this paper, we pursue the discussion of the connections between rational conformal field theories (CFT) and graphs. We generalise our recent work on the relations of operator product algebra (OPA)… Expand

The octagon as a determinant

- I. Kostov, V. Petkova, D. Serban
- PhysicsJournal of High Energy Physics
- 27 May 2019

Abstract
The computation of a certain class of four-point functions of heavily charged BPS operators boils down to the computation of a special form factor — the octagon. In this paper, which is… Expand

Quantum groups and fusion rules multiplicities

- P. Furlan, A. Ganchev, V. Petkova
- Physics
- 15 October 1990

We perform explicitly a truncation of the tensor product of two regular representations of Uq(g) for q a root of unity and show that it coincides with the fusion rules for integrable representations… Expand

Boundary conditions in charge conjugate sl(N) WZW theories

- V. Petkova, J. Zuber
- Physics
- 29 January 2002

We compute the representations (``nimreps'') of the fusion algebra of affine sl(N), which determine the boundary conditions of sl(N) WZW theories twisted by the charge conjugation. This is done… Expand

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