Matrix model holography

In this paper we study various forms of RG and apply these to the BFSS model of N coincident D0-branes. Firstly, as a warm-up, we perform standard Wilsonian RG, investigating the conditions under which supersymmetry is preserved along the flow. Next, we develop a local RG scheme such that the cutoff is spacetime dependent, which could have further applications to studying QFT in curved spacetime. Finally, we test the conjecture put forward in [1] that the method of quantum RG could be the mechanism responsible for the gauge/gravity duality by applying it to the BFSS model, which has a known gravitational dual. Although not entirely conclusive some questions are raised about the applicability of quantum RG as a description of the AdS/CFT correspondence.

Section: Jhep05(2020)063supporting

confidence: 63%

Section: Jhep05(2020)063mentioning

confidence: 66%

Section: Jhep05(2020)063mentioning

confidence: 99%

See 1 more Smart Citation

Developing local RG: quantum RG and BFSS

Melo

Santos

2020

“…Ground state Two-Point Function As a first special case we consider a pure AdS 2 background, which is dual to the matrix theory ground state. The retarded boundaryto-bulk propagator is given in (55) while the dilaton source is φ…”

Section: Linear Response In Matrix Theorymentioning

confidence: 99%

“…In earlier works holographic renormalization has been performed for various cases, including non-linear gravity-dilaton solutions [21] and breathing mode perturbations around pure AdS 2 × S 8 [20]. Related work also includes [55]. A general discussion of holographic renormalization in the presence of irrelevant operators deforming the AdS boundary can be found in [53].…”

Section: Introductionmentioning

confidence: 99%

Matrix thermalization

Craps

Evnin

Nguyen

2017

Matrix quantum mechanics offers an attractive environment for discussing gravitational holography, in which both sides of the holographic duality are well-defined. Similarly to higher-dimensional implementations of holography, collapsing shell solutions in the gravitational bulk correspond in this setting to thermalization processes in the dual quantum mechanical theory. We construct an explicit, fully nonlinear supergravity solution describing a generic collapsing dilaton shell, specify the holographic renormalization prescriptions necessary for computing the relevant boundary observables, and apply them to evaluating thermalizing two-point correlation functions in the dual matrix theory.

Emergence of species scale black hole horizons

Calderón-Infante,

Delgado,

Uranga

2024

The scale at which quantum gravity becomes manifest, the species scale Λs, has recently been argued to take values parametrically lower than the Planck scale. We use black holes of vanishing horizon area (small black holes) in effective field theories coupled to quantum gravity to shed light on how the three different physical manifestations of the species scale Λs relate to each other. (i) Near the small black hole core, a scalar field runs to infinite distance in moduli space, a regime in which the Swampland Distance Conjecture predicts a tower of exponentially light states, which lower Λs. (ii) We integrate out modes in the tower and generate via Emergence a set of higher derivative corrections, showing that Λs is the scale at which such terms become relevant. (iii) Finally, higher derivative terms modify the black hole solution and grant it a non-zero, species scale sized stretched horizon of radius $$ {\Lambda}_s^{-1} $$ Λ s − 1 , showcasing the species scale as the size of the smallest possible black hole describable in the effective theory.We present explicit 4d examples of small black holes in 4d $$ \mathcal{N} $$ N = 2 supergravity, and the 10d example of type IIA D0-branes. The emergence of the species scale horizon for D0-branes requires a non-trivial interplay of different 8-derivative terms in type IIA and M-theory, providing a highly non-trivial check of our unified description of the different phenomena associated to the species scale.