M-Theory Dynamics On A Manifold Of G_2 Holonomy
By Michael Francis Atiyah, E. Witten. 2001
402 citations recorded by the source corpus.
We analyze the dynamics of M-theory on a manifold of G_2 holonomy that is developing a conical singularity. The known cases involve a cone on CP^3, where we argue that the dynamics involves restoration of a global symmetry, SU(3)/U(1)^2, where we argue that there are phase transitions among three possible branches corresponding to three classical spacetimes, and S^3 x S^3 and its quotients, where we recover and extend previous results about smooth continuations between different spacetimes and relations to four-dimensional gauge theory.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/b96529345af49c489ec20b3d072ad5e24f40f2a2
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Citations in the corpus
- 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].”
- Chiral Fermions from Manifolds Of G 2 Holonomy (2001, background): “entirely compatible with the anomaly results [5] and with the claims (based on a quite different duality) in section 3.7 of [ 3 ].”
- All Loop Topological String Amplitudes from Chern-Simons Theory (2002, background): “This was further studied in [14,15], and also in a related context in [16,17,18,19,20,21,22,23].”
- 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and charged chiral matter [8], [9] can be present, but of course the low-energy supergravity approximation is no longer valid.”
- Cohomogeneity One Manifolds of Spin(7) and G2 Holonomy (2001, methodology): “Recent applications of Ricci-flat manifolds with special holonomy in string and M-theory can be found in [14-45].”
- Worldsheet derivation of a large N duality (2002, background): “Various aspects of the lifting of type IIA configurations to G2 holonomy manifolds have been studied in a number of papers [16,17,18].”
- Maximally homogeneous para-CR manifolds of semisimple type (2006, neutral): “Perhaps the most compelling reasons for reconsidering such 7-manifolds was offered by Atiyah and Witten who considered the dynamics on manifolds with G2 holonomy which are asymptotically conical [ AW02 ].”
- G2-manifolds and associative submanifolds via semi-Fano 3-folds (2012, background): “ysics (i.e. non-abelian gauge groups and chiral fermions) from M-theory on G 2-manifolds it appears necessary to consider singular G 2-spaces with very particular kinds of singularity as explained in [1,2,7,9]. For some recent physical predictions from M-theory on G 2-spaces see [3{5]; see also [6,1”
- Topology change in general relativity, and the black-hole black-string transition (2002, background): “The merger transition is in m + n + 1 dimensions and centers around the cone over Sm ×Sn (minimum 5d) while the conifold (G2-conifold) is in 6d (7d) involving the cone over S3×S2 (S3×S3).”
- 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].”