Defect Localized Entropy: Renormalization Group and Holography

Renormalization Group Flow in Algebraic Holography

The remarkable scaling properties of the AdSCFT correspondence[5] have been proven extremely useful as a calculational device for the scaling behaviour of holographic pairs, known as the Holographic Renormalization Group (RG). In this communication, the aforementioned scaling properties will be studied in a somewhat different context. We’ll adopt the formalism of Local Quantum Physics[1], in te...

Renormalization Group Flows from Holography– Supersymmetry and a c-Theorem

We obtain first order equations that determine a supersymmetric kink solution in fivedimensional N = 8 gauged supergravity. The kink interpolates between an exterior anti-de Sitter region with maximal supersymmetry and an interior anti-de Sitter region with one quarter of the maximal supersymmetry. One eighth of supersymmetry is preserved by the kink as a whole. We interpret it as describing th...

Geometric Holography, the Renormalization Group and the c-Theorem

In this paper the whole geometrical set-up giving a conformally invariant holographic projection of a diffeomorphism invariant bulk theory is clarified. By studying the renormalization group flow along null geodesic congruences a holographic version of Zamolodchikov’s c-theorem is proven. E-mail: [email protected] E-mail: [email protected] Unidad de Investigación Asociada al Centro de...

Constraint on Defect and Boundary Renormalization Group Flows.

A conformal field theory (CFT) in dimension d≥3 coupled to a planar, two-dimensional, conformal defect is characterized in part by a "central charge" b that multiplies the Euler density in the defect's Weyl anomaly. For defect renormalization group flows, under which the bulk remains critical, we use reflection positivity to show that b must decrease or remain constant from the ultraviolet to t...

Renormalization Group Renormalization Group