38,879 research outputs found

    Integrable deformations of the Gk1×Gk2/Gk1+k2G_{k_1} \times G_{k_2}/G_{k_1+k_2} coset CFTs

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    We study the effective action for the integrable λ\lambda-deformation of the Gk1×Gk2/Gk1+k2G_{k_1} \times G_{k_2}/G_{k_1+k_2} coset CFTs. For unequal levels theses models do not fall into the general discussion of λ\lambda-deformations of CFTs corresponding to symmetric spaces and have many attractive features. We show that the perturbation is driven by parafermion bilinears and we revisit the derivation of their algebra. We uncover a non-trivial symmetry of these models parametric space, which has not encountered before in the literature. Using field theoretical methods and the effective action we compute the exact in the deformation parameter β\beta-function and explicitly demonstrate the existence of a fixed point in the IR corresponding to the Gk1−k2×Gk2/Gk1G_{k_1-k_2} \times G_{k_2}/G_{k_1} coset CFTs. The same result is verified using gravitational methods for G=SU(2)G=SU(2). We examine various limiting cases previously considered in the literature and found agreement.Comment: 1+23 pages, Latex; v2: NPB version; v3: Correcting a typo in Eqs. (2.21), (2.22

    Introducing the STAMP method in road tunnel safety assessment

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    After the tremendous accidents in European road tunnels over the past decade, many risk assessment methods have been proposed worldwide, most of them based on Quantitative Risk Assessment (QRA). Although QRAs are helpful to address physical aspects and facilities of tunnels, current approaches in the road tunnel field have limitations to model organizational aspects, software behavior and the adaptation of the tunnel system over time. This paper reviews the aforementioned limitations and highlights the need to enhance the safety assessment process of these critical infrastructures with a complementary approach that links the organizational factors to the operational and technical issues, analyze software behavior and models the dynamics of the tunnel system. To achieve this objective, this paper examines the scope for introducing a safety assessment method which is based on the systems thinking paradigm and draws upon the STAMP model. The method proposed is demonstrated through a case study of a tunnel ventilation system and the results show that it has the potential to identify scenarios that encompass both the technical system and the organizational structure. However, since the method does not provide quantitative estimations of risk, it is recommended to be used as a complementary approach to the traditional risk assessments rather than as an alternative. (C) 2012 Elsevier Ltd. All rights reserved

    All-loop anomalous dimensions in integrable λ\lambda-deformed σ\sigma-models

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    We calculate the all-loop anomalous dimensions of current operators in λ\lambda-deformed σ\sigma-models. For the isotropic integrable deformation and for a semi-simple group GG we compute the anomalous dimensions using two different methods. In the first we use the all-loop effective action and in the second we employ perturbation theory along with the Callan-Symanzik equation and in conjunction with a duality-type symmetry shared by these models. Furthermore, using CFT techniques we compute the all-loop anomalous dimensions of bilinear currents for the isotropic deformation case and a general GG. Finally we work out the cases of anisotropic SU(2)SU(2) and the two coupling, corresponding to the symmetric coset G/HG/H and a subgroup HH, splitting of a group GG.Comment: 1+26 pages, Latex; v2: minor corrections; v3: few minor changes, NPB version; v4: clarifications in section 2.

    All-loop correlators of integrable λ\lambda-deformed σ\sigma-models

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    We compute the 2- and 3-point functions of currents and primary fields of λ\lambda-deformed integrable σ\sigma-models characterized also by an integer kk. Our results apply for any semisimple group GG, for all values of the deformation parameter λ\lambda and up to order 1/k1/k. We deduce the OPEs and equal-time commutators of all currents and primaries. We derive the currents' Poisson brackets which assume Rajeev's deformation of the canonical structure of the isotropic PCM, the underlying structure of the integrable λ\lambda-deformed σ\sigma-models. We also present analogous results in two limiting cases of special interest, namely for the non-Abelian T-dual of the PCM and for the pseudodual model.Comment: 30 pages plus appendices; v2: few minor changes, NPB versio

    Quantum aspects of doubly deformed CFTs

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    We study quantum aspects of the recently constructed doubly lambda-deformed sigma-models representing the effective action of two WZW models interacting via current bilinears. We show that although the exact beta-functions and current anomalous dimensions are identical to those of the lambda-deformed models, this is not true for the anomalous dimensions of generic primary field operators in accordance with the fact that the two models differ drastically. Our proofs involve CFT arguments, as well as effective sigma-model action and gravity calculations.Comment: 1+26 pages, Late
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