Are there really any AdS_2 branes in the euclidean (or not) AdS_3?

We do not find any AdS_2 branes, neither in the H_3^+ WZNW model nor the SL(2,R) WZNW model. We then reexamine the case of the branes that possess a su(2) symmetry: we speculate that they would have to live on the boundary of AdS_3. This cannot be realized in an euclidean spacetime, but in the SL(2,R) WZNW model by analytical continuation.Comment: 7 pages; v2: more explanation

Massless N=1 Super Sinh-Gordon: Form Factors approach

The N=1 Super Sinh-Gordon model with spontaneously broken supersymmetry is considered. Explicit expressions for form-factors of the trace of the stress energy tensor Theta, the energy operator epsilon, as well as the order and disorder operators sigma and mu are proposed.Comment: 7 pages; v2: misprints corrected, references added; v3: abstract changed, revised manuscript; v4: proof added, to appear in PL

Recent progress on Liouville Field Theory

An explicit construction for the monodromy of the Liouville conformal blocks in terms of Racah-Wigner coefficients of the quantum group U_q(sl(2,R)) is proposed. As a consequence, crossing-symmetry for four point functions is analytically proven, and the expression for the correlator of three boundary operators is obtained.Comment: 29 pages. More or less the English version of the author's PhD thesis (in French) held at Montpellier University, May 2000. Adviser: Al.B.Zamolodchikov. Collaborator: J. Teschner. Contribution to the proceedings of the 6th International Conference on CFTs and Integrable Models, Chernogolovka, Russia, September 2002; v2: references adde

New financial architecture and regional monetary integration in Latin America

Reducing transaction costs and the need for international reserves is a primary objective to the establishment of regional payment agreements. Another objective, especially in the case of Latin America where the Ecuadorian promoters of the Bank of the South and the New Architecture are planning the implement of a regional clearing system, is to reduce member countries dependence on the US dollar as an international standard and reserve currency. To help improving the design of such agreements this paper refers to the plan Keynes designed for the Bretton Woods Conference. First, it observes that cases were made against this plan from which useful lessons may still be drawn. Second, it shows that Keynes defined a system for exchanging domestic currencies for each other that can be improved and help design currency unions in accordance with their promoters'objectives.regional monetary arrangements ; foreign exchange ; currency union ; dollar standard, payment systems; Latin America

Clebsch-Gordan and Racah-Wigner coefficients for a continuous series of representations of U_q(sl(2,R))

The decomposition of tensor products of representations into irreducibles is studied for a continuous family of integrable operator representations of $U_q(sl(2,R)$. It is described by an explicit integral transformation involving a distributional kernel that can be seen as an analogue of the Clebsch-Gordan coefficients. Moreover, we also study the relation between two canonical decompositions of triple tensor products into irreducibles. It can be represented by an integral transformation with a kernel that generalizes the Racah-Wigner coefficients. This kernel is explicitly calculated.Comment: 39 pages, AMS-Latex; V2: Added comments and references concerning relation to Faddeev's modular double, minor corrections, version to be published in CM

Liouville bootstrap via harmonic analysis on a noncompact quantum group

The purpose of this short note is to announce results that amount to a verification of the bootstrap for Liouville theory in the generic case under certain assumptions concerning existence and properties of fusion transformations. Under these assumptions one may characterize the fusion and braiding coefficients as solutions of a system of functional equations that follows from the combination of consistency requirements and known results. This system of equations has a unique solution for irrational central charge c>25. The solution is constructed by solving the Clebsch-Gordan problem for a certain continuous series of quantum group representations and constructing the associated Racah-coefficients. This gives an explicit expression for the fusion coefficients. Moreover, the expressions can be continued into the strong coupling region 1<c<25, providing a solution of the bootstrap also for this region.Comment: 16 pages, typos removed incl. important one in (48

How could the Bank of the South promote sustainable development and regional monetary integration in Latin America ?

Section 1 will present, as a starting point, the regional payments and unit of accounts agreements in Latin America: the Reciprocal Payments and Credits Agreement of the Latin American Integration Association or ALADI, the ‘Peso Andino” set up by the Latin American Reserve Fund (FLAR) and the Payment System on Local Currency agreement (SML) recently launched by Brazil and Argentina. Section 2 will examine the objections arisen against Keynes's plan. It will also emphasise their relevance to the Sucre plan or to any similar plan. Section 3 will focus on the exchange scheme drafted by Keynes and on how to supplement it in order to get over the objections under examination.sustainable development ; regional monetary integration ; Latin America

Boundary Liouville Field Theory: Boundary Three Point Function

Liouville field theory is considered on domains with conformally invariant boundary conditions. We present an explicit expression for the three point function of boundary fields in terms of the fusion coefficients which determine the monodromy properties of the conformal blocks.Comment: 18 pages; v2: minor change

Liouville Theory on the Pseudosphere: Bulk-Boundary Structure Constant

Liouville field theory on the pseudosphere is considered (Dirichlet conditions). We compute explicitely the bulk-boundary structure constant with two different methods: first we use a suggestion made by Hosomichi in JHEP 0111 (2001) that relates this quantity directly to the bulk-boundary structure constant with Neumann conditions, then we do a direct computation. Agreement is found.Comment: 7 pages; v2: minor typos corrected, references added; v3: discussion extended, cosmetic change