Matter From G(2) Manifolds

Andreas Brandhuber; Per Berglund

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Matter From G(2) Manifolds

Per Berglund, Andreas Brandhuber

High Energy Physics - Theory · Submitted 18 May 2002

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

The authors' main claim We describe how chiral matter charged under SU(N) and SO(2N) gauge groups arises from codimension seven singularities in compactifications of M-theory on manifolds with G(2) holonomy.

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What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.92 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.45 · 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 describe how chiral matter charged under SU(N) and SO(2N) gauge groups arises from codimension seven singularities in compactifications of M-theory on manifolds with G(2) holonomy. The geometry of these spaces is that of a cone over a six-dimensional Einstein space which can be constructed by (multiple) unfolding of hyper-Kahler quotient spaces. In type IIA the corresponding picture is given by stacks of intersecting D6-branes and chiral matter arises from open strings stretching between them. Usually one obtains (bi)fundamental representations but by including orientifold six-planes in the type IIA picture we find more exotic representations like the anti-symmetric, which is important for the study of SU(5) grand unification, and trifundamental representations. We also exhibit many cases where the G(2) metrics can be described explicitly, although in general the metrics on the spaces constructed via unfolding are not known.

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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 describe how chiral matter charged under SU(N) and SO(2N) gauge groups arises from codimension seven singularities in compactifications of M-theory on manifolds with G(2) holonomy.	contribution 0.95	0.89	0.79	asserted 1.00
s1	The geometry of these spaces is that of a cone over a six-dimensional Einstein space which can be constructed by (multiple) unfolding of hyper-Kahler quotient spaces.	method 0.40	0.39	0.05	asserted 0.98
s2	In type IIA the corresponding picture is given by stacks of intersecting D6-branes and chiral matter arises from open strings stretching between them.	background 0.57	0.18	0.07	asserted 1.00
s3	Usually one obtains (bi)fundamental representations but by including orientifold six-planes in the type IIA picture we find more exotic representations like the anti-symmetric, which is important for the study of SU(5) grand unification, and trifundamental representations.	result 0.80	0.93	0.18	asserted 1.00
s4	We also exhibit many cases where the G(2) metrics can be described explicitly, although in general the metrics on the spaces constructed via unfolding are not known.	limitation 0.51	0.88	0.04	asserted 0.99

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.89.

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full text
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Original abstract

We describe how chiral matter charged under SU(N) and SO(2N) gauge groups arises from codimension seven singularities in compactifications of M-theory on manifolds with G(2) holonomy. The geometry of these spaces is that of a cone over a six-dimensional Einstein space which can be constructed by (multiple) unfolding of hyper-Kahler quotient spaces. In type IIA the corresponding picture is given by stacks of intersecting D6-branes and chiral matter arises from open strings stretching between them. Usually one obtains (bi)fundamental representations but by including orientifold six-planes in the type IIA picture we find more exotic representations like the anti-symmetric, which is important for the study of SU(5) grand unification, and trifundamental representations. We also exhibit many cases where the G(2) metrics can be described explicitly, although in general the metrics on the spaces constructed via unfolding are not known.

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References

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Cited by 3 Pith papers

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

Higher-Form Symmetries in 5d
hep-th 2020-05 accept novelty 7.0 of 10

The 1-form symmetry of a 5d theory built from M-theory on a non-compact Calabi-Yau threefold is the quotient of relative by absolute second homology, computable as the Smith normal form of the intersection matrix of c...
(-1)-form symmetries from M-theory and SymTFTs
hep-th 2024-11 conditional novelty 6.0 of 10

A systematic M-theory construction of SymTFTs for discrete and continuous (-1)-form symmetries, with a new 4-group structure in 4d N=1 SYM from G2 manifolds.
Proton Decay, Yukawa Couplings and Underlying Gauge Symmetry in String Theory
hep-th 2006-02 conditional novelty 6.0 of 10

Under the assumptions that all quark and lepton Yukawa couplings come from the super Yang-Mills interactions of an underlying symmetry G and that matter and Higgs fields have different origins in the coset G/SU(5), th...

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8 arXiv papers cite this in 9 sentences

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Papers citing it · 6 sentences without a confident label

Cites it as background 3 papers

[ref] and the last one in refs.

Effective action from M-theory on twisted connected sum $G_2$-manifolds · Introduction · 0.83
Extending this to theories with matter, recall that chiral matter in 4d is created by conical singularities of codimension 7 in the $G_2$ -holonomy manifold [ref] .

Higher-Form Symmetries in 5d · Models with Chiral Matter · 0.85
To gain a broader view of the extensive work in the field of geometric engineering, we refer to the following partial lists of works discussing M-theory on $G_2$-manifolds [ref] and Calabi–Yau threefolds [ref] .

(-1)-form symmetries from M-theory and SymTFTs · Introduction and summary · 1.00

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