Duality, Phases, Spinors and Monopoles in SO(N) and Spin(N) Gauge Theories

Matthew J. Strassler

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Duality, Phases, Spinors and Monopoles in SO(N) and Spin(N) Gauge Theories

Matthew J. Strassler

High Energy Physics - Theory · Submitted 11 Sep 1997

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

The authors' main claim It follows that electric sources in the spinor representation, needed as test charges to determine the phase of an SO(N) gauge theory, can be introduced as Z_2-valued magnetic sources in the dual nonabelian gauge theory.

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.16 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.24 · compares with prior results 0.27 · mentions code or data availability 0.01.

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arXiv listing abstract v1. Results and the main claim are underlined; show every role.

Four-dimensional N=1 supersymmetric Spin(N) gauge theories with matter in the vector and spinor representations are considered. Dual descriptions are known for some of these theories. It is noted that when masses are given to all fields in the spinor representation, the dual gauge group G breaks to a group H such that \pi_2(G/H)=Z_2. The quantum numbers of the associated Z_2 monopole and those of the massive spinors are shown to agree, suggesting that the monopole is the image of the massive spinors under duality. It follows that electric sources in the spinor representation, needed as test charges to determine the phase of an SO(N) gauge theory, can be introduced as Z_2-valued magnetic sources in the dual nonabelian gauge theory. This fact is used to study the phases of SO(N) gauge theories with matter in the vector representation.

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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	Four-dimensional N=1 supersymmetric Spin(N) gauge theories with matter in the vector and spinor representations are considered.	background 0.79	0.37	0.03	asserted 0.77
s1	Dual descriptions are known for some of these theories.	background 0.99	0.05	0.02	asserted 0.99
s2	It is noted that when masses are given to all fields in the spinor representation, the dual gauge group G breaks to a group H such that \pi_2(G/H)=Z_2.	result 0.87	0.27	0.10	asserted 0.99
s3	The quantum numbers of the associated Z_2 monopole and those of the massive spinors are shown to agree, suggesting that the monopole is the image of the massive spinors under duality.	interpretation 0.59	0.82	0.32	hedged possibility 0.87
s4	It follows that electric sources in the spinor representation, needed as test charges to determine the phase of an SO(N) gauge theory, can be introduced as Z_2-valued magnetic sources in the dual nonabelian gauge theory.	interpretation 0.64	0.71	0.33	asserted 0.99
s5	This fact is used to study the phases of SO(N) gauge theories with matter in the vector representation.	contribution 0.82	0.79	0.26	asserted 0.99

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from argument 0.58.

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arXiv listing abstract v1

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The paper

Original abstract

Four-dimensional N=1 supersymmetric Spin(N) gauge theories with matter in the vector and spinor representations are considered. Dual descriptions are known for some of these theories. It is noted that when masses are given to all fields in the spinor representation, the dual gauge group G breaks to a group H such that \pi_2(G/H)=Z_2. The quantum numbers of the associated Z_2 monopole and those of the massive spinors are shown to agree, suggesting that the monopole is the image of the massive spinors under duality. It follows that electric sources in the spinor representation, needed as test charges to determine the phase of an SO(N) gauge theory, can be introduced as Z_2-valued magnetic sources in the dual nonabelian gauge theory. This fact is used to study the phases of SO(N) gauge theories with matter in the vector representation.

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References

Forward citations

Cited by 6 Pith papers

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

Reading between the lines of four-dimensional gauge theories
hep-th 2013-05 accept novelty 8.0 of 10

For a fixed gauge algebra, the spectrum of magnetic and dyonic line operators labels distinct four-dimensional theories, some of which carry new discrete theta angles unreachable by shifting the ordinary theta angle.
Cluster decomposition, T-duality, and gerby CFT's
hep-th 2006-06 conditional novelty 7.0 of 10

Strings on gerbes are T-dual to strings on disconnected unions of ordinary spaces, resolving the apparent cluster-decomposition violation.
3d dualities from 4d dualities for orthogonal groups
hep-th 2013-07 accept novelty 6.0 of 10

Compactifying the 4d SO(N_c) Seiberg duality on a circle yields a 3d duality between SO(N_c) with N_f vectors and SO(N_f - N_c + 2) with N_f vectors plus two singlet fields.
Matching higher symmetries across Intriligator-Seiberg duality
hep-th 2021-08 conditional novelty 5.0 of 10

The 2-group structure and 't Hooft anomalies of so(2n_c) gauge theory with 2n_f flavors depend on the parities of n_c and n_f and on the global form of the gauge group, and this pattern is preserved under Intriligator...
Sums over topological sectors and quantization of Fayet-Iliopoulos parameters
hep-th 2010-12 conditional novelty 5.0 of 10

Fractional Fayet-Iliopoulos parameters are argued to be consistent in supergravities whose moduli space is a gerbe, with new examples of gerby moduli spaces in heterotic and F-theory compactifications.

Show 1 more citing papers

Non-BPS States and Branes in String Theory
hep-th 1999-04 accept novelty 2.0 of 10

Non-BPS D-branes in type II string theory are tachyonic kinks on brane-antibrane pairs, and orbifold or orientifold projections can project out the tachyon and make them stable.

How the literature uses it

7 arXiv papers cite this in 11 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 · 6 sentences without a confident label

Builds on it 1 paper

This was then extended to $(8)$ in [ref] , to $(10)$ in [ref] , to $(11)$ in [ref] , and to $(12)$ in [ref] . $(N)$ gauge theories with multiple chiral fields in the spinor representation was considered in [ref] .

Lectures on 4d N=1 dynamics and related topics · Other dualities · 0.91

Cites it as support 1 paper

This interpretation is reiterated (albeit without explicitly naming a gerbe structure) in [ref] [section 2], [ref] in terms of screening effects, and further examples of the same general form are given in [ref] .

Sums over topological sectors and quantization of Fayet-Iliopoulos parameters · Field theory · 0.96

Cites it as background 3 papers

Following a crucial set of observations in [ref] that spinors in the original theory are mapped to magnetic monopoles in the dual theory, the Intriligator-Seiberg duality of 1 $$ theories was refined in [ref] , to account for the global form of the gauge group and the discrete theta angle.

Matching higher symmetries across Intriligator-Seiberg duality · Introduction and summary · 0.83
Let us next consider some examples of gerbe structures appearing in the field theories discussed in [ref] .

Sums over topological sectors and quantization of Fayet-Iliopoulos parameters · Field theory · 0.81
Such theories have also been discussed implicitly in a number of other places in the physics literature (see for example [ref] ).

Rigidly Supersymmetric Gauge Theories on Curved Superspace · Sigma models on stacks and restrictions on nonperturbative sectors · 0.91

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