Long Range Forces and Supersymmetric Bound States

Adam Ritz; Arkady Vainshtein

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Long Range Forces and Supersymmetric Bound States

Adam Ritz, Arkady Vainshtein

High Energy Physics - Theory · Submitted 19 Feb 2001

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

The authors' main claim Therefore the spectrum of BPS states can be inferred by analyzing the submanifolds of the moduli space where the long range potential is attractive.

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.13 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.14 · compares with prior results 0.07 · mentions code or data availability 0.01.

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

We consider the long range forces between two BPS particles on the Coulomb branch of N=2 and N=4 supersymmetric gauge theories. The 1/r potential is unambiguously fixed, even at strong coupling, by the moduli dependence of central charges supported by the BPS states. The effective Coulombic coupling vanishes on marginal stability curves, while sign changes on crossing these curves explain the restructuring of the spectrum of composite BPS states. This restructuring proceeds via the delocalization of the composite state on approach to the curve of marginal stability. Therefore the spectrum of BPS states can be inferred by analyzing the submanifolds of the moduli space where the long range potential is attractive. This method also allows us to find certain non-BPS bound states and their stability domains. As examples, we consider the dissociation of the W boson and higher charge dyons at strong coupling in N=2 SU(2) SYM, quark-monopole bound states in N=2 SYM with one flavor, and composite dyons in N=2 SU(3) SYM.

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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 consider the long range forces between two BPS particles on the Coulomb branch of N=2 and N=4 supersymmetric gauge theories.	contribution 0.67	0.60	0.04	unclear 0.63
s1	The 1/r potential is unambiguously fixed, even at strong coupling, by the moduli dependence of central charges supported by the BPS states.	result 0.99	0.60	0.31	asserted 1.00
s2	The effective Coulombic coupling vanishes on marginal stability curves, while sign changes on crossing these curves explain the restructuring of the spectrum of composite BPS states.	result 0.89	0.73	0.18	asserted 1.00
s3	This restructuring proceeds via the delocalization of the composite state on approach to the curve of marginal stability.	result 0.52	0.61	0.08	asserted 1.00
s4	Therefore the spectrum of BPS states can be inferred by analyzing the submanifolds of the moduli space where the long range potential is attractive.	method 0.45	0.64	0.62	asserted 0.94
s5	This method also allows us to find certain non-BPS bound states and their stability domains.	contribution 0.48	0.82	0.10	asserted 0.88
s6	As examples, we consider the dissociation of the W boson and higher charge dyons at strong coupling in N=2 SU(2) SYM, quark-monopole bound states in N=2 SYM with one flavor, and composite dyons in N=2 SU(3) SYM.	contribution 0.88	0.88	0.04	asserted 0.93

What kind of paper the classifier reports this is: theoretical result 0.71 · evidence from proof or derivation 0.78.

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The paper

Original abstract

We consider the long range forces between two BPS particles on the Coulomb branch of N=2 and N=4 supersymmetric gauge theories. The 1/r potential is unambiguously fixed, even at strong coupling, by the moduli dependence of central charges supported by the BPS states. The effective Coulombic coupling vanishes on marginal stability curves, while sign changes on crossing these curves explain the restructuring of the spectrum of composite BPS states. This restructuring proceeds via the delocalization of the composite state on approach to the curve of marginal stability. Therefore the spectrum of BPS states can be inferred by analyzing the submanifolds of the moduli space where the long range potential is attractive. This method also allows us to find certain non-BPS bound states and their stability domains. As examples, we consider the dissociation of the W boson and higher charge dyons at strong coupling in N=2 SU(2) SYM, quark-monopole bound states in N=2 SYM with one flavor, and composite dyons in N=2 SU(3) SYM.

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References

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Cited by 2 Pith papers

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

Magnetic Monopole Dynamics, Supersymmetry, and Duality
hep-th 2006-09 accept novelty 3.0 of 10

The review consolidates how BPS monopoles are built (Nahm construction), how their moduli spaces are shaped (hyper-Kähler, Taub-NUT, Atiyah-Hitchin), and how quantizing those spaces yields the dyonic bound states that...
The Swampland: Introduction and Review
hep-th 2019-03 accept novelty 2.0 of 10

The review organizes the Swampland conjectures, from the Weak Gravity Conjecture to the de Sitter conjecture, and assesses the string-theory and black-hole evidence for each.

How the literature uses it

5 arXiv papers cite this in 7 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 · 4 sentences without a confident label

Cites it as background 3 papers

It is well-known that there exist $14$-BPS dyonic states in $SU(N)$ SYM theories [ref] (see [ref] for a recent review), represented as string webs [ref] in brane constructions of these theories.

On the internal structure of dyons in ${\cal N}=4$ super Yang-Mills theories · Introduction · 0.93
Non-BPS boundstates in $= 2$ theories have been studied before [ref] .

Wall Crossing from Dirac Zeromodes · Introduction and Conclusion · 0.90
Here $Q^2$ is the strength of repulsion between two such particles (see [ref] for useful texts), and $m^2$ is the attraction.

The Swampland: Introduction and Review · The Weak Gravity Conjecture for dyons with $θ$-angles · 0.81

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