| Autor: |
ADORF, HENDRIK, FLOHR, MICHAEL |
| Předmět: |
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| Zdroj: |
International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics; 9/30/2008, Vol. 23 Issue 24, p3963-4010, 48p, 2 Charts |
| Abstrakt: |
We comment on the brane solutions for the boundary ${\rm H}_3^+$ model that have been proposed so far and point out that they should be distinguished according to the patterns regular/irregular and discrete/continuous. In the literature, mostly irregular branes have been studied, while results on the regular ones are rare. For all types of branes, there are questions about how a second factorization constraint in the form of a b-2/2-shift equation can be derived. Here, we assume analyticity of the boundary two-point function, which means that the Cardy–Lewellen constraints remain unweakened. This enables us to derive unambiguously the desired b-2/2-shift equations. They serve as important additional consistency conditions. For some regular branes, we also derive 1/2-shift equations that were not known previously. Case by case, we discuss possible solutions to the enlarged system of constraints. We find that the well-known irregular continuous AdS2 branes are consistent with our new factorization constraint. Furthermore, we establish the existence of a new type of brane: the shift equations in a certain regular discrete case possess a nontrivial solution that we write down explicitly. All other types are found to be inconsistent when using our second constraint. We discuss these results in view of the Hosomichi–Ribault proposal and some of our earlier results on the derivation of b-2/2-shift equations. [ABSTRACT FROM AUTHOR] |
| Databáze: |
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