On The Strong-Coupling Spectrum of Pure SU(3) Seiberg-Witten Theory

Brett J. Taylor

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On The Strong-Coupling Spectrum of Pure SU(3) Seiberg-Witten Theory

Brett J. Taylor

High Energy Physics - Theory · Submitted 3 Jul 2001

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

The authors' main claim We describe, at the topological level, a consistent model of how the relevant curves of marginal stability (CMS) intertwine with the branch cuts to partition the moduli space into pieces carrying different BPS spectra.

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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 0.10 · randomized assignment 0.01 · states quantitative result 0.57 · compares with prior results 0.39 · 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 two complex dimensional moduli space of supersymmetric vacua for low energy effective N=2 SYM with gauge group SU(3). We describe, at the topological level, a consistent model of how the relevant curves of marginal stability (CMS) intertwine with the branch cuts to partition the moduli space into pieces carrying different BPS spectra. At strong coupling we find connected cores which carry a smaller BPS spectrum than that at weak coupling. At the strongest coupling we find double cores which carry a finite BPS spectrum. These include not only states one can deduce from the monodromy group, but three states, bounded away from weak coupling, each of which we interpret as a bound state of two BPS gauge bosons. We find new BPS states at weak coupling corresponding to a excitations of a state with magnetic charge a simple co-root, with respect to the other simple root direction.

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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 two complex dimensional moduli space of supersymmetric vacua for low energy effective N=2 SYM with gauge group SU(3).	background 0.79	0.44	0.04	asserted 0.86
s1	We describe, at the topological level, a consistent model of how the relevant curves of marginal stability (CMS) intertwine with the branch cuts to partition the moduli space into pieces carrying different BPS spectra.	contribution 0.76	0.89	0.18	asserted 0.93
s2	At strong coupling we find connected cores which carry a smaller BPS spectrum than that at weak coupling.	result 1.00	0.95	0.23	asserted 1.00
s3	At the strongest coupling we find double cores which carry a finite BPS spectrum.	result 1.00	0.95	0.21	asserted 1.00
s4	These include not only states one can deduce from the monodromy group, but three states, bounded away from weak coupling, each of which we interpret as a bound state of two BPS gauge bosons.	result 0.66	0.90	0.20	asserted 0.96
s5	We find new BPS states at weak coupling corresponding to a excitations of a state with magnetic charge a simple co-root, with respect to the other simple root direction.	result 1.00	0.93	0.10	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.90.

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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 consider the two complex dimensional moduli space of supersymmetric vacua for low energy effective N=2 SYM with gauge group SU(3). We describe, at the topological level, a consistent model of how the relevant curves of marginal stability (CMS) intertwine with the branch cuts to partition the moduli space into pieces carrying different BPS spectra. At strong coupling we find connected cores which carry a smaller BPS spectrum than that at weak coupling. At the strongest coupling we find double cores which carry a finite BPS spectrum. These include not only states one can deduce from the monodromy group, but three states, bounded away from weak coupling, each of which we interpret as a bound state of two BPS gauge bosons. We find new BPS states at weak coupling corresponding to a excitations of a state with magnetic charge a simple co-root, with respect to the other simple root direction.

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References

Forward citations

Cited by 3 Pith papers

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

Spectral networks
hep-th 2012-04 accept novelty 8.0 of 10

Spectral networks, networks of trajectories on a Riemann surface with local birth rules, compute BPS particle degeneracies in N=2 theories and yield new coordinates on moduli of flat connections.
Geometric engineering of (framed) BPS states
hep-th 2013-01 conditional novelty 6.0 of 10

Geometric engineering reproduces the SU(N) BPS quiver and yields a conjectural equivalence between the field-theory BPS spectrum and large-radius D-brane bound states, plus a recursive Donaldson-Thomas algorithm for B...
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...

How the literature uses it

4 arXiv papers cite this in 5 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 · 1 sentence without a confident label

Compares with it 1 paper

It would be interesting to compare results obtained from spectral networks with those in [ref] .

Spectral networks · Open problems · 0.98

Cites it as background 3 papers

The structure of the walls of marginal stability at strong coupling was discussed in [ref] .

Moduli Space and Wall-Crossing Formulae in Higher-Rank Gauge Theories · Wall-crossing formulae · 0.90
Although this theory has not been completely solved, its weak-coupling spectrum [ref] as well as strong-coupling spectrum for the $SU(3)$ theory [ref] have been found: solving the monodromies problem, the charges of states can be conveniently expressed in terms of roots of the gauge group.

Wall-Crossing in Supersymmetric Gauge Theories · Introduction · 0.81
Already the case of $SU(3)$ gauge group is much richer, see for instance [ref] for discussions specifically focusing on this case, with many additional references to the large literature on BPS states and wall crossing in 4d $N = 2$ theories.

Exploring the Strong-Coupling Region of $SU(N)$ Seiberg-Witten Theory · Charting Candidate Curves of Marginal Stability · 0.98

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