On Realising N=1 Super Yang-Mills in M theory

By B. Acharya. 2000

207 citations recorded by the source corpus.

Pure N=1 super Yang-Mills theory can be realised as a certain low energy limit of M theory near certain singularities in $G_2$-holonomy spaces. For SU(n) and SO(2n) gauge groups these $M$ theory backgrounds can be regarded as strong coupling limits of wrapped D6-brane configurations in Type IIA theory on certain non-compact Calabi-Yau spaces such as the deformed conifold. Various aspects of such realisations are studied including the generation of the superpotential, domain walls, QCD strings and the relation to recent work of Vafa. In the spirit of this recent work we propose a `gravity dual' of M theory near these singularities.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/356c920d5e24e90af506cefb5b4660baad7a31f7

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. D. Lust
2. Ralph Blumenhagen
3. M. Cvetič
4. C. Vafa
5. E. Witten
6. Marcos Mariño
7. F. Cachazo
8. Ashoke Sen

In Nuclear and High Energy Physics

1. C. Vafa
2. Marcos Mariño
3. Mina Aganagic
4. A. Klemm
5. D. Lust
6. Ralph Blumenhagen
7. M. Cvetič
8. E. Witten

Citations in the corpus

• New complete noncompact Spin(7) manifolds (2001, background): “5 Some related ideas have also been discussed in [ 14 , 15].”
• Orientifolds of K3 and Calabi-Yau manifolds with intersecting D-branes (2002, background): “abelian isometries, to lift a chiral model with a non-abelian gauge group, we need to allow for singularities [134, 135 ,13,136].”
• 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].”
• 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 ].”
• Disk Instantons, Mirror Symmetry and the Duality Web (2001, result): “This in fact was studied in [ 16 ][17][18][19][20] where it was seen that the M-theory”
• Gauge theory at large N and new G2 holonomy metrics (2001, unknown): “June 2001”
• M theory and singularities of exceptional holonomy manifolds (2004, unknown): “The results of this section are based upon [6, 7, 8, 98].”
• 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”
• 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.”
• 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.”
• Chern-Simons theory and topological strings (2004, unknown): “ThesizeoftheIP 1 in theresolved geom etry is given by the ’tHooftcoupling ofChern-Sim onstheory, t= igsN = xN : (5.25) Thisconjecturehasbeen proved by em beddingtheduality in typeIIsuperstring theory (Vafa,2001a)and lifting it to M -theory (Acharya,2000;Atiyah,M aldacena, and Vafa,2001).”
• 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].”
• A Geometric unification of dualities (2001, methodology): “was lifted up to M-theory [ 8 ,9] where it was interpreted as a purely geometric transition.”
• D6 branes and M theory geometrical transitions from gauged supergravity (2001, background): “ter viewed in M–theory on G2 holonomy manifolds [ 11 ], where it corresponds to a flop”
• Non-Kähler string backgrounds and their five torsion classes (2002, background): “E.g., for the 6–dimensional conifold with additional 2–form flux or with wrapped D6–branes this leads to a particular non–compact G2 manifold, which topologically is an R 4 bundle over S 3 [ 66 , 67, 68, 69].”