Open AccessOn surface states and star-subalgebras in string field theory
Author(s) -
Ehud Fuchs,
Michael Kroyter
Publication year - 2004
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2004/10/004
Subject(s) - surface (topology) , state (computer science) , surface states , star (game theory) , subalgebra , field (mathematics) , string (physics) , wedge (geometry) , mathematics , pure mathematics , theoretical physics , physics , quantum mechanics , algebra over a field , mathematical analysis , geometry , algorithm
We elaborate on the relations between surface states and squeezed states.First, we investigate two different criteria for determining whether a mattersector squeezed state is also a surface state and show that the two criteriaare equivalent. Then, we derive similar criteria for the ghost sector. Next, werefine the criterion for determining whether a surface state is inH_{\kappa^2}, the subalgebra of squeezed states obeying [S,K_1^2]=0. Thisenables us to find all the surface states of the H_{\kappa^2} subalgebra, andshow that it consists only of wedge states and (hybrid) butterflies. Finally,we investigate generalizations of this criterion and find an infinite family ofsurface states subalgebras, whose surfaces are described using a "generalizedSchwarz-Christoffel" mapping.Comment: 38 pages, 6 figures, JHEP style; typos corrected, ref. adde
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