We discuss Poincaré three-brane solutions in D = 5 M-Theory compactifications on Calabi-Yau (CY) threefolds with G-fluxes. We show that the vector moduli freeze at an attractor point. In the case with background flux only, the spacetime geometry contains a zero volume singularity with the three-brane and the CY space shrinking simultaneously to a point. This problem can be avoided by including explicit three-brane sources. We consider two cases in detail: a single brane and, when the transverse dimension is compactified on a circle, a pair of branes with opposite tensions.
Poincaré three-brane solutions, Calabi-Yau (CY) threefolds, high energy physics theory, M-theory
Branes, Particles (Nuclear physics)
Spaliński, Michał and Taylor, Tomasz R., "Branes and fluxes in D=5 Calabi–Yau compactifications of M-theory" (2000). Physics Faculty Publications. Paper 44. http://hdl.handle.net/2047/d20000397
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