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The superconformal index of $\frac12$-BPS states of $N=4$ U(N) super Yang-Mills theory has a known infinite $q$-series expression with successive terms suppressed by $q^N$. We derive a holographic bulk interpretation of this series by…

High Energy Physics - Theory · Physics 2024-10-02 Giorgos Eleftheriou , Sameer Murthy , Martí Rosselló

We study correlation functions of two AdS giant gravitons in AdS$_5\times S^5$ and a BPS supergravity mode using holography. In the gauge theory these are described by BPS correlators of Schur polynomials of fully-symmetric representations…

High Energy Physics - Theory · Physics 2023-06-07 Adolfo Holguin , Wayne W. Weng

Working within the AdS/CFT correspondence we calculate the three-point function of two giant gravitons and one pointlike graviton using methods of semiclassical string theory and considering both the case where the giant gravitons wrap an…

High Energy Physics - Theory · Physics 2011-06-28 Agnese Bissi , Charlotte Kristjansen , Donovan Young , Konstantinos Zoubos

Certain correlation functions are computed exactly in the zero coupling limit of N=4 super Yang-Mills theory with gauge group SU(N). A set of linearly independent operators that are in one-to-one correspondence with the half-BPS…

High Energy Physics - Theory · Physics 2008-11-26 Robert de Mello Koch , Rhiannon Gwyn

A class of correlation functions of half-BPS composite operators are computed exactly (at finite $N$) in the zero coupling limit of N=4 SYM theory. These have a simple dependence on the four-dimensional spacetime coordinates and are related…

High Energy Physics - Theory · Physics 2007-05-23 Steve Corley , Antal Jevicki , Sanjaye Ramgoolam

Using the non-abelian DBI action we find an effective matrix model that describes the dynamics of weakly interacting giant gravitons wrapped on three-spheres in the AdS part of AdS_5 x S^5 at high energies with two angular momenta on the…

High Energy Physics - Theory · Physics 2016-09-07 Troels Harmark

The $\frac12$-BPS indices of $\mathcal{N}=4$ Super Yang-Mills theory with unitary, orthogonal, and symplectic groups all admit $q$-expansions suggesting an interpretation in terms of D-branes in the dual bulk AdS$_5$ string theories. We…

High Energy Physics - Theory · Physics 2025-01-24 Giorgos Eleftheriou , Sameer Murthy , Martí Rosselló

We identify the operators in ${\cal N}=4$ super Yang-Mills theory that correspond to ${1\over 8}$-BPS giant gravitons in AdS$_5\times$S$^5$. Our evidence for the identification comes from (1) counting these operators and showing agreement…

High Energy Physics - Theory · Physics 2018-03-14 Robert de Mello Koch , Lwazi Nkumane

We consider giant gravitons in the probe approximation when they are described by classical brane configurations in AdS$_{p+2}\times S^{q+2}$ wrapping a particular $q$-cycle and spinning in $S^{q+2}$. We quantize the full set of…

High Energy Physics - Theory · Physics 2025-09-24 Evan Deddo , Sabarenath Jayaprakash , James T. Liu , Leopoldo A. Pando Zayas

We propose a new example of the AdS/CFT correspondence between the system of multiple giant gravitons in AdS${}_5 \times {}$S${}^5$ and the operators with $O(N_c)$ dimensions in ${\cal N}=4$ super Yang-Mills. We first extend the mixing of…

High Energy Physics - Theory · Physics 2021-05-19 Ryo Suzuki

We focus on the 1/4-BPS sector of free super Yang-Mills theory with an SO(N) gauge group. This theory has an AdS/CFT dual in the form of type IIB string theory with AdS_5 X RP^5 geometry. With the aim of studying excited giant graviton…

High Energy Physics - Theory · Physics 2015-06-19 Garreth Kemp

We study the one-loop anomalous dimensions of operators in the ${\cal N}=4$ super Yang-Mills theory that are dual to open strings ending on giant gravitons. We consider both AdS and sphere giants as well as boundstates of them. The open…

High Energy Physics - Theory · Physics 2009-01-30 Robert de Mello Koch , Jelena Smolic , Milena Smolic

We study the full bosonic spectrum around giant and dual giant graviton probes in exactly marginally deformed backgrounds. Considering supersymmetric and non-supersymmetric three-parameter deformations of AdS_5 X S^5, we perform a detailed…

High Energy Physics - Theory · Physics 2009-12-15 Marco Pirrone

The LLM's 1/2 BPS solutions of IIB supergravity are known to be closely related to the integer quantum Hall droplets with filling factor $\nu=1$, and the giant gravitons in the LLM geometry behave like the quasi-holes in those droplets. In…

High Energy Physics - Theory · Physics 2009-11-11 Jian Dai , Xiao-Jun Wang , Yong-Shi Wu

The superconformal index of half-BPS states in ${\cal N}=4$ supersymmetric Yang-Mills with gauge group $U(N)$ admits an expansion in terms of giant gravitons, ${\cal I}_N(q)={\cal I}_\infty(q) \sum\limits_{m=0}^\infty q^{mN}\hat{\mathcal…

High Energy Physics - Theory · Physics 2024-03-01 Evan Deddo , James T. Liu , Leopoldo A. Pando Zayas , Robert J. Saskowski

We find generating functions for half BPS correlators in $\mathcal{N}=4$ SYM theories with gauge groups $Sp(2N)$, $SO(2N+1)$, and $SO(2N)$ by computing the norms of a class of BPS coherent states. These coherent states are built from…

High Energy Physics - Theory · Physics 2022-09-08 Adolfo Holguin , Shannon Wang

We consider extremal and non-extremal three-point functions of two giant gravitons and one point-like graviton using Schur polynomials in N=4 super Yang-Mills theory and holographically, using a semiclassical Born-Infeld analysis as well as…

High Energy Physics - Theory · Physics 2015-06-04 Pawel Caputa , Robert de Mello Koch , Konstantinos Zoubos

The BPS spectrum of AdS/CFT exhibits multi-gravitons at low energies, while having black hole states at higher energies. This can be studied concretely in AdS$_5$/CFT$_4$ in terms of classical cohomologies, even in the quantum regimes at…

High Energy Physics - Theory · Physics 2024-09-16 Sunjin Choi , Seok Kim , Eunwoo Lee , Jaemo Park

In this work we consider various correlators with Schur polynomials in ABJ(M) models that on the dual gravity side should correspond to processes involving giant gravitons. Our analysis imposes several constraints on the physics of the…

High Energy Physics - Theory · Physics 2015-06-11 Pawel Caputa , Badr Awad Elseid Mohammed

The maximal giant graviton is a D-brane wrapping a maximal $S^3\subset S^5$ within $\text{AdS}_5\times S^5$. It represents an upper bound on the $R$ charge that can be carried by certain bulk states. We study the maximal giant and its…

High Energy Physics - Theory · Physics 2024-12-31 Ji Hoon Lee , Douglas Stanford
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