nLab conifold transition

Idea

(…)

Related concepts

• conical singularity

• flop transition

• ADE singularity

• Sasakian manifold

References

Discussion in the context of gauged supergravity includes

• J. D. Edelstein, A. Paredes, A. V. Ramallo, Singularity Resolution in Gauged Supergravity and Conifold Unification, Phys. Lett. B554 (2003) 197-206 (arXiv:hep-th/0212139)

Discussion in M-theory

• Bobby Acharya, On Realising $N=1$ Super Yang-Mills in M theory (arXiv:hep-th/0011089)

• Michael Atiyah, Juan Maldacena, Cumrun Vafa, An M-theory Flop as a Large N Duality, J. Math. Phys. 42:3209-3220, 2001 (arXiv:hep-th/0011256)

• Edward Witten, Anomaly Cancellation On Manifolds Of $G_2$ Holonomy (arXiv:hep-th/0108165)

• Sergei Gukov, James Sparks, David Tong, Conifold Transitions and Five-Brane Condensation in M-Theory on $Spin(7)$ Manifolds, Class. Quant. Grav. 20 (2003) 665-706 [arXiv:hep-th/0207244]

• Kenneth Intriligator, Hans Jockers, Peter Mayr, David Morrison, M. Ronen Plesser, Conifold Transitions in M-theory on Calabi-Yau Fourfolds with Background Fluxes, Adv. Theor. Math. Phys. 17 (2013) 601-699 (arXiv:1203.6662)

Review includes

• Bobby Acharya, Sergei Gukov, M theory and Singularities of Exceptional Holonomy Manifolds, Phys. Rept. 392:121-189, 2004 (arXiv:hep-th/0409191)