Chiral Fermions from Manifolds Of G 2 Holonomy

By B. Acharya, E. Witten. 2001

271 citations recorded by the source corpus.

M-theory compactification on a manifold X of $G_2$ holonomy can give chiral fermions in four dimensions only if X is singular. A number of examples of conical singularities that give chiral fermions are known; the present paper is devoted to describing some additional examples. In some of them, the physics can be determined but the metric is not known explicitly, while in others the metric can be described explicitly but the physics is more challenging to understand.

Subfields: Applied Mathematics, Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/e30d9461d0ad758de13dfe0dbaac7cc548d77b9f

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In Applied Mathematics

1. J. Heckman
2. F. Quevedo
3. E. Witten
4. C. Beasley
5. C. Vafa
6. V. Apostolov
7. M. Cvetič
8. S. Salamon

In Astronomy and Astrophysics

1. Ralph Blumenhagen
2. M. Cvetič
3. Thomas W. Grimm
4. Gary Shiu
5. F. Quevedo
6. T. Weigand
7. Eran Palti
8. E. Witten

In Nuclear and High Energy Physics

1. T. Weigand
2. Ralph Blumenhagen
3. Thomas W. Grimm
4. M. Cvetič
5. Eran Palti
6. C. Vafa
7. Gary Shiu
8. F. Quevedo

Citations in the corpus

• GUTs and exceptional branes in F-theory — II. Experimental predictions (2008, background): “An N = 1 supersymmetric GUT theory with exceptional gauge group derived from a geometric singularity can arise either from M-theory compactified on a sevendimensional manifold of G2 holonomy [15] or from F-theory compactified on an elliptic Calabi-Yau fourfold [16].”
• A Note on fluxes and superpotentials in M theory compactifications on manifolds of G(2) holonomy (2002, background): “When X is allowed to have appropriate singularities, non-abelian gauge-groups and charged chiral matter [8], [9] can be present, but of course the low-energy supergravity approximation is no longer valid.”
• Proton stability in grand unified theories, in strings and in branes (2006, background): “Another possibility is to get gauge fields and chiral fermions from singularities in geometry [344, 345, 346].”
• M theory and singularities of exceptional holonomy manifolds (2004, unknown): “In [10] we explicitly solved the Dirac equation in a local model for this situation.”
• Lectures on string/brane cosmology (2002, background): “t constructed explicitly, are known that in order to have chiral fermions, the matter needs to be at singular points, therefore implying that if constructed they may have also a brane world structure [87]. Therefore the brane world appears naturally in string constructions and its cosmology can be s”
• New aspects of Heterotic–F-theory duality (2008, background): “In Type IIA string compactification on a Calabi– Yau orientifold, we know that one chiral multiplet is localized at each D6–D6 intersection [8], and this local picture is extended to compactification of 11-dimensional supergravity on a G2-holonomy “manifold” with A–D–E singularity [9].”
• TOWARD REALISTIC INTERSECTING D-BRANE MODELS (2005, background): “) The supersymmetric constructions of such models have a lift on a circle to M-theory and provide examples of Grand Unified Models of strongly-coupled Mtheory compactified on singular seven dimensional manifolds with G2 holonomy [56, 21, 57, 58, 59].”
• Kähler Reduction of Metrics with Holonomy G2 (2003, background): “We point out that there also exist constructions of holonomy G2 metrics from higher dimensional hyperk¨ahler manifolds (see for example [ 3 ]).”