2008/12/31 by Boris Feigin, Michael Lashkevich · 1 citation
Mathematics · Physics and Astronomy · #Action (physics) #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Descendant #Exponential function #Field (mathematics) #Homotopy and Cohomology in Algebraic Topology #Reflection (computer programming) #Representation (politics) #hep-th #math-ph #math.MP #nlin.SI
paper · pdf · doi:10.1088/1751-8113/42/30/304014
published as J.Phys.A42:304014,2009 · 29 pages; v2: minor corrections, some references added; v3: minor corrections; v4,v5: misprints corrected; v6: minor mistake corrected
openalex publication_date 2009/07/14 · arxiv created 2010/05/28 · arxiv updated 2010/06/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The free field representation for form factors in the sinh-Gordon model and the sine-Gordon model in the breather sector are modified to describe the form factors of descendant operators, which are obtained from the exponential ones, e iαφ , by means of the action of the Heisenberg algebra associated with the field φ( x ). As a check of the validity of the construction, we count the numbers of operators defined by the form factors at each level in each chiral sector. Another check is related to the so-called reflection relations, which identify in the breather sector the descendants of the exponential fields e iαφ and for generic values of α. We prove the operators defined by the obtained families of form factors to satisfy such reflection relations. A generalization of the construction for form factors to the kink sector is also proposed.