Browsing by Author "Faraggi, Alberto"

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    A note on the N=2 super-W3 holographic dictionary
    (2020) Castro, Alejandra; Faraggi, Alberto; Osorio, Israel
    This is a long-overdue companion paper to [1]. We study the relation between sl(3|2) Chern-Simons supergravity on AdS(3) and two-dimensional CFT's with N = 2 super-W3 symmetry. Specifically, we carry out a complete analysis of asymptotic symmetries in a basis that makes the superconformal structure transparent, allowing us to establish the precise dictionary between currents and transformation parameters in the bulk and their boundary counterparts. We also discuss the incorporation of sources and display in full detail the corresponding holographic Ward identities. By imposing suitable hermiticity conditions on the CFT currents, we identify the superalgebra su(2, 1|1, 1) as the appropriate real form of sl(3|2) in Lorentzian signature. We take the opportunity to review some of the properties of the N = 2 super-W3 conformal algebra, including its multiplet structure, OPE's and spectral flow invariance, correcting some minor typos present in the literature.
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    Beyond AdS2/dCFT1: insertions in two Wilson loops
    (2023) Correa, Diego H.; Faraggi, Alberto; Mück, Wolfgang; Pando Zayas, Leopoldo A.; Silva, Guillermo A.
    Abstract: We consider two-point correlators of local operator insertions in a system of two Wilson-Maldacena loops in N = 4 supersymmetric Yang-Mills theory on both sides of the AdS/CFT correspondence. On the holographic side the correlator of two Wilson Maldacena loops is given by a classical string world-sheet which in one phase connects two asymptotically AdS2 regions and in the other phase is given by two disconnected AdS2 caps; this configuration breaks supersymmetry as well as conformal invariance. We present a complete systematic account of the string world-sheet fluctuations, including the fermionic sector, and study the behavior of the holographic two-point correlators. On the field theory side we compute certain two-point correlators of local operator insertions by resumming sets of ladder diagrams. Our results demonstrate the efficacy of previously developed methods in tackling this non-conformal, non-susy regime.
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    Beyond AdS2/dCFT1: insertions in two Wilson loops
    (2023) Correa, Diego H.; Faraggi, Alberto; Mueck, Wolfgang; Pando Zayas, Leopoldo A.; Silva, Guillermo A.
    We consider two-point correlators of local operator insertions in a system of two Wilson-Maldacena loops in N = 4 supersymmetric Yang-Mills theory on both sides of the AdS/CFT correspondence. On the holographic side the correlator of two WilsonMaldacena loops is given by a classical string world-sheet which in one phase connects two asymptotically AdS(2) regions and in the other phase is given by two disconnected AdS(2) caps; this configuration breaks supersymmetry as well as conformal invariance. We present a complete systematic account of the string world-sheet fluctuations, including the fermionic sector, and study the behavior of the holographic two-point correlators. On the field theory side we compute certain two-point correlators of local operator insertions by resumming sets of ladder diagrams. Our results demonstrate the efficacy of previously developed methods in tackling this non-conformal, non-susy regime.
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    Note on generating functions and connected correlators of 1/2-BPS Wilson loops in N=4 SYM theory
    (2019) Canazas Garay, Anthonny F.; Faraggi, Alberto; Muck, Wolfgang
    The generating functions for the Wilson loops in the symmetric and antisymmetric representations of the gauge group U(N ) are expressed in terms of the connected correlators of multiply-wound Wilson loops, using ingredients from the representation theory of the symmetric group. This provides a proof of a recent observation by Okuyama. As a by-product, we present a new calculation of the connected 2-point correlator of multiply-wound Wilson loops at leading order in 1/N.