1/8 BPS States in Ads/CFT

E. Gava; G. Milanesi; K.S. Narain; M. O'Loughlin

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1/8 BPS States in Ads/CFT

E. Gava, G. Milanesi, K.S. Narain, M. O'Loughlin

High Energy Physics - Theory · Submitted 6 Nov 2006

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We analyze the solutions to these equations in a large radius asymptotic expansion: they carry charges with respect to two U(1) KK gauge fields and their mass saturates the expected BPS bound.

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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,303 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.16 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.85 · compares with prior results 0.07 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; show every role.

We study a class of exact supersymmetric solutions of type IIB Supergravity. They have an SO(4) x SU(2) x U(1) isometry and preserve generically 4 of the 32 supersymmetries of the theory. Asymptotically AdS_5 x S^5 solutions in this class are dual to 1/8 BPS chiral operators which preserve the same symmetries in the N=4 SYM theory. They are parametrized by a set of four functions that satisfy certain differential equations. We analyze the solutions to these equations in a large radius asymptotic expansion: they carry charges with respect to two U(1) KK gauge fields and their mass saturates the expected BPS bound.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We study a class of exact supersymmetric solutions of type IIB Supergravity.	contribution 0.99	0.91	0.05	asserted 0.99
s1	They have an SO(4) x SU(2) x U(1) isometry and preserve generically 4 of the 32 supersymmetries of the theory.	result 0.76	0.53	0.08	asserted 0.96
s2	Asymptotically AdS_5 x S^5 solutions in this class are dual to 1/8 BPS chiral operators which preserve the same symmetries in the N=4 SYM theory.	interpretation 0.81	0.38	0.34	asserted 1.00
s3	They are parametrized by a set of four functions that satisfy certain differential equations.	contribution 0.43	0.45	0.07	asserted 1.00
s4	We analyze the solutions to these equations in a large radius asymptotic expansion: they carry charges with respect to two U(1) KK gauge fields and their mass saturates the expected BPS bound.	result 0.89	0.91	0.36	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

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arXiv listing abstract v2

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S sections
T body sentences
C citations
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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper

Original abstract

We study a class of exact supersymmetric solutions of type IIB Supergravity. They have an SO(4) x SU(2) x U(1) isometry and preserve generically 4 of the 32 supersymmetries of the theory. Asymptotically AdS_5 x S^5 solutions in this class are dual to 1/8 BPS chiral operators which preserve the same symmetries in the N=4 SYM theory. They are parametrized by a set of four functions that satisfy certain differential equations. We analyze the solutions to these equations in a large radius asymptotic expansion: they carry charges with respect to two U(1) KK gauge fields and their mass saturates the expected BPS bound.

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References

Forward citations

Cited by 8 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

BPS Chaos
hep-th 2024-07 conditional novelty 7.0 of 10

Projecting simple operators into the 1/2-BPS and 1/4-BPS sectors of N=4 SYM and the two-charge D1-D5 CFT yields banded matrices with Thouless times growing as powers of N, evidence that horizonless fuzzball states are...
Small Hairy Black Holes in $AdS_5 \times S^5$
hep-th 2010-05 conditional novelty 7.0 of 10

Small charged black holes in AdS5 x S5 exist with scalar hair down to the BPS bound, so N=4 super Yang-Mills retains O(N^2) entropy at all energies above supersymmetry, at least at small charge.
(Un)solvable Matrix Models for BPS Correlators
hep-th 2025-08 unverdicted novelty 6.0 of 10

Proposes complex matrix models for BPS correlators in N=4 SYM, relating eigenvalue distributions to LLM droplet shapes and enabling computations of one-point functions and three-point correlators via reductions to kno...
Holographic covering and the fortuity of black holes
hep-th 2024-02 conditional novelty 6.0 of 10

BPS states in holographic CFTs split into monotone states dual to smooth horizonless geometries and fortuitous states that carry the black hole entropy.
Diagonal multi-matrix correlators and BPS operators in N=4 SYM
hep-th 2007-11 accept novelty 6.0 of 10

A complete basis of multi-trace multi-matrix operators is constructed whose free-field two-point function is diagonal at finite N, using symmetric-group Clebsch-Gordan coefficients to intertwine the gauge group U(N) a...

Show 3 more citing papers

Supersymmetric AdS_3, AdS_2 and Bubble Solutions
hep-th 2006-12 conditional novelty 6.0 of 10

A single fourth-order condition on a Kahler metric generates new supersymmetric AdS3 and AdS2 supergravity solutions, including a one-parameter AdS2 family, non-compact defect duals, and toric-like families from multi...
Bubbling AdS and droplet descriptions of BPS geometries in IIB supergravity
hep-th 2007-04 accept novelty 5.0 of 10

BPS geometries of IIB supergravity with 1/4 and 1/8 supersymmetry are argued to be encoded by droplet-shaped regions excised from a curved Kähler base, generalizing the LLM 1/2 BPS picture.
Black Holes as Effective Geometries
hep-th 2008-11 conditional novelty 3.0 of 10

Supersymmetric black holes can be viewed as effective coarse-grained geometries built from horizon-free microstates, but the finite-area case rests on heuristic quantization arguments.

How the literature uses it

18 arXiv papers cite this in 43 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 23 sentences without a confident label

Contests it 1 paper

The purpose of this section is to examine the result of [ref] and point out the existence of an additional constraint [ref].

Liouville Equation in 1/8 BPS Geometries · 1/8 BPS geometries with $SU(2)×U(1)×SO(4)×R$ · contest 0.71

Builds on it 2 papers

In this paper we first show in detail how to recover the $AdS_5×Y^p,q$ geometries from the generic solutions studied in [ref] by requiring that additional 4 supercharges be preserved.

Half BPS states in AdS_5 x Y^{p,q} · Introduction · 0.96
In this paper, we have shown that a new differential equation should be imposed on the resultant controlling functions $m,n,p,T$ of [ref] , and discussed the limit $n=0,m=1/y^2$, in which the new equation plays crucial roles to obtain some properties of the geometries.

Liouville Equation in 1/8 BPS Geometries · Conclusion · 0.84

Cites it as background 10 papers

Among them we concentrate on the result of [ref] , in which the case of $SU(2)×U(1)×SO(4)×R$ symmetry was studied and as a result, a class of $1/8$ BPS geometries were written in terms of four functions and four differential equations for them have been found.

Liouville Equation in 1/8 BPS Geometries · Introduction · 0.80
In Section [ref] we give a brief summary of the results of [ref] .

Half BPS states in AdS_5 x Y^{p,q} · Introduction · 0.95
The geometries corresponding to such BPS states have been studied in [ref] and in [ref] , [ref] , [ref] (see also related discussion [ref] , [ref] ), which is a $R_t [equation] z_3/z_1 →z_3$), [equation] Near the circle $|z_1|≈1,$ we see that $|z_2|^2+|z_3|^2 ≈ϵ^2,$so the $S^3$in$z_2,z_3$ space shrinks at the boundary of $D^2$ in $z_1$ space.

Studies on 1/4 BPS and 1/8 BPS geometries · Small variation · 0.85

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