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We compute 4-point correlators in $\mathcal{N} = 4$ $SU(N)$ Super-Yang-Mills with both single and double-particle $1/2$-BPS operators in the regime of large 't Hooft coupling and large $N$. In particular we give explicit expressions up to…

High Energy Physics - Theory · Physics 2025-07-18 Francesco Aprile , Stefano Giusto , Rodolfo Russo

The zero temperature phase diagram of binary boson-fermion mixtures in two-colour superlattices is investigated. The eigenvalue problem associated with the Bose-Fermi-Hubbard Hamiltonian is solved using an exact numerical diagonalization…

Statistical Mechanics · Physics 2007-05-23 F. Schmitt , M. Hild , R. Roth

We construct a holographic map between asymptotically AdS_5 x S^5 solutions of 10d supergravity and vacuum expectation values of gauge invariant operators of the dual QFT. The ingredients that enter in the construction are (i) gauge…

High Energy Physics - Theory · Physics 2009-11-11 Kostas Skenderis , Marika Taylor

Simultaneous, diffraction-limited control of multiple optical beams is crucial for applications ranging from lithography to optogenetics, deep tissue imaging, and tweezer-based manipulation of cells, particles, or atoms. Despite the desire…

Optics · Physics 2025-05-14 Ian Christen , Christopher Panuski , Thomas Propson , Dirk Englund

We argue from two complementary viewpoints of Holography that the 2-point correlation functions of 1/2-BPS multi-trace operators in the large-N (planar) limit are nothing but the (Wick-rotated) S-matrix elements of c=1 matrix model. On the…

High Energy Physics - Theory · Physics 2010-10-27 Antal Jevicki , Tamiaki Yoneya

We show how the BV-BFV formalism provides natural solutions to descent equations, and discuss how it relates to the emergence of holographic counterparts of given gauge theories. Furthermore, by means of an AKSZ-type construction we…

Mathematical Physics · Physics 2019-10-30 Pavel Mnev , Michele Schiavina , Konstantin Wernli

In the light of the recent Lin, Lunin, Maldacena (LLM) results we investigate 1/2-BPS geometries in minimal (and next-to minimal) supergravity in D=6 dimensions. In the case of minimal supergravity, solutions are given by fibrations of a…

High Energy Physics - Theory · Physics 2009-11-10 Dario Martelli , Jose F. Morales

We show that the Lovelock type brane gravity is naturally holographic by providing a correspondence between bulk and surface terms that appear in the Lovelock-type brane gravity action functional. We prove the existence of relationships…

High Energy Physics - Theory · Physics 2019-09-04 Efrain Rojas

We study strongly-coupled, approximately scale-invariant gauge theories, which develop a mass gap in the infrared. We argue that a large number of fermion flavours is most suitable to provide an ultraviolet completion for the composite…

High Energy Physics - Phenomenology · Physics 2021-03-25 Daniel Elander , Michele Frigerio , Marc Knecht , Jean-Loic Kneur

We study a class of dilatation invariant BPS surface operators in 4-dimensional N=4 Super Yang-Mills theory and their holographic duals in type IIB string theory in AdS_5 x S^5. First we take an example of 1/4 BPS surface operator and study…

High Energy Physics - Theory · Physics 2009-02-09 Eunkyung Koh , Satoshi Yamaguchi

We study the correspondence between AdS$_3$ massive IIA supergravity vacua and two-dimensional $\mathcal{N}=(0,4)$ quiver quantum field theories. After categorizing all kinds of gravity solutions, we demystify the ones that seem to reflect…

High Energy Physics - Theory · Physics 2021-04-21 Kostas Filippas

We introduce a system of propagation equations for the fundamental-frequency (FF) and second-harmonic (SH) waves in the bulk waveguide with the effective fractional diffraction and quadratic (chi ^(2)) nonlinearity. The numerical solution…

Pattern Formation and Solitons · Physics 2024-06-03 Hidetsugu Sakaguchi , Boris A. Malomed

Spindle and disc solutions have received significant attention in recent literature. However, it is not entirely clear what these supergravity solutions represent in the dual SCFT. In this work we elucidate this issue by considering a…

High Energy Physics - Theory · Physics 2025-03-20 Pieter Bomans , Lorenzo Tranchedone

Vector spaces of (framed) BPS states of Lagrangian four-dimensional N=2 field theories can be defined in semiclassical chambers in terms of the $L^2$-cohomology of Dirac-like operators on monopole moduli spaces. This was spelled out…

High Energy Physics - Theory · Physics 2019-12-06 T. Daniel Brennan , Gregory W. Moore

We analyze a family of two-dimensional BCS Hamiltonians with general l-wave pairing interactions, classifying the models in this family that are Bethe-ansatz solvable in the finite-size regime. We show that these solutions are characterized…

Strongly Correlated Electrons · Physics 2018-10-04 Luca Lepori , Marco Roncaglia

Holography can provide a microscopic interpretation of a gravitational solution as corresponding to a particular CFT state: the asymptotic expansion in gravity encodes the expectation values of operators in the dual CFT state. Such a…

High Energy Physics - Theory · Physics 2021-01-05 Stefano Giusto , Sami Rawash , David Turton

We present a comprehensive analysis of 2-charge fuzzball solutions, that is, horizon-free non-singular solutions of IIB supergravity characterized by a curve on R^4. We propose a precise map that relates any given curve to a specific…

High Energy Physics - Theory · Physics 2010-10-27 I. Kanitscheider , K. Skenderis , M. Taylor

We study in detail the recently-found family of asymptotically AdS$_5\times S^5$ type IIB supergravity solutions dual to the $\mathcal{N}=1^*$ SYM theory with equal masses. The backgrounds exhibit a naked singularity and are labelled by a…

High Energy Physics - Theory · Physics 2020-01-08 Nikolay Bobev , Fridrik Freyr Gautason , Benjamin E. Niehoff , Jesse van Muiden

Recently a new class of 1/8-BPS regular geometries in type IIB string theory was constructed in arXiv:1503.01463. In this paper we provide a precise description of the semiclassical states dual, in the AdS/CFT sense, to these geometries. In…

High Energy Physics - Theory · Physics 2016-01-14 Stefano Giusto , Emanuele Moscato , Rodolfo Russo

This thesis consists of four parts. In the first part of the thesis, we investigate the phase structure of Einstein-Maxwell-Scalar system with a negative cosmological constant. We chart out the full phase diagram, and discuss it's…

High Energy Physics - Theory · Physics 2018-09-17 P N Bala Subramanian