An M theory flop as a large N duality
By Michael Francis Atiyah, J. Maldacena, C. Vafa. 2000
269 citations recorded by the source corpus.
We show how a recently proposed large N duality in the context of type IIA strings with N=1 supersymmetry in 4 dimensions can be derived from purely geometric considerations by embedding type IIA strings in M-theory. The phase structure of M-theory on G2 holonomy manifolds and an S3 flop are the key ingredients in this derivation.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/58732e0403e7e4080a61f781e06f1b2ad7b10884
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Citations in the corpus
- Worldsheet derivation of a large N duality (2002, background): “Subsequently it was found that these two configurations are indeed smoothly connected to each other by lifting them to M theory on a G2 holonomy manifold [15].”
- Disk Instantons, Mirror Symmetry and the Duality Web (2001, background): “This in fact was studied in [16][17][18][19][20] where it was seen that the M-theory geometry corresponds to a 7 dimensional manifold with G2 holonomy.”
- The supergravity dual of a theory with dynamical supersymmetry breaking (2001, background): “So the 7d solution is the one in (3.2), and then the uplifting to 10 d is given by (3.6).”
- Mirror symmetry in generalized Calabi–Yau compactifications ☆ (2002, background): “This is closely related to the discussion in [46].”
- A large N duality via a geometric transition (2001, methodology): “Citable link http://nrs.harvard.edu/urn-3:HUL.InstRepos:41385084 Terms of Use This article was downloaded from Harvard University’s DASH repository, and is made available under the terms and conditions applicable to Other Posted Material, as set forth at http:// nrs.harvard.edu/urn-3:HUL.”
- Fluxbranes in String Theory (2001, background): “More general alternate IIA descriptions of the theory, in the spirit of [17], can be obtained by a SL(2, Z) transformation of the torus in (2.”
- Chiral Fermions from Manifolds Of G 2 Holonomy (2001, background): “examples of isolated conical singularities of G2-manifolds have been studied recently from different points of view [ 1-4 ].”
- Orientifolds of K3 and Calabi-Yau manifolds with intersecting D-branes (2002, methodology): “In the corresponding M-theory lift, this situation was geometrically interpreted by a flop transition between two S(3) in the corresponding noncompact G2 manifold [155].”
- 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].”
- All Loop Topological String Amplitudes from Chern-Simons Theory (2002, background): “By M-theory/type IIB duality, a membrane wrapping a (p, q) cycle of the T 2 is dual to a (p, q) string, therefore membranes on holomorphic curves in Xt that are along the T 2 in the fiber are dual to webs of (p, q) strings in type IIB string theory that are BPS.”
- Gauge theory at large N and new G2 holonomy metrics (2001, unknown): “June 2001”
- M-Theory Dynamics On A Manifold Of G_2 Holonomy (2001, methodology): “In this section, we apply the methods of section 4 to the case, considered in [7, 8], of a manifold of G2 holonomy that is asymptotic to a cone on”
- A Geometric unification of dualities (2001, methodology): “Since, as argued in [ 9 ] and further elaborated in [10,11] the transition in quantum geometry”
- M theory and singularities of exceptional holonomy manifolds (2004, unknown): “The results of this section are based upon [6, 7, 8, 98].”