2008/02/29 by P Jacob, P. Jacob, P. Mathieu +1
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Basis (linear algebra) #Operator (biology) #Path (computing) #Representation (politics) #Set (abstract data type) #Spectral Theory in Mathematical Physics #State (computer science) #String (physics) #Topological Materials and Phenomena #Unitary state #hep-th #math-ph #math.MP
paper · pdf · doi:10.1088/1751-8113/41/38/385201
22 pages, new title and abstract; section 1 rewritten and section 2.2 improved; version to appear in J. Phys. A
arxiv created 2008/08/12 · openalex publication_date 2008/08/18 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
We reinterpret a path describing a state in an irreducible module of the unitary minimal model in terms of a string of charged operators acting on the module's ground-state path. Each such operator acts non-locally on a path. The path characteristics are then translated into a set of conditions on sequences of operators that provide an operator basis. As an application, we re-derive the vacuum finite fermionic character by constructing the generating function of these basis states. These results generalize directly to the models, the close relatives of the unitary models in terms of path description.