Abstract
String theory was first introduced as a model for strong nuclear interactions, then reinterpreted as a model for quantum gravity, and then all fundamental physics.
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- 1.
- 2.
In physics language this is phrased as coupling a topological field theory to topological gravity. The term TCFT actually means something quite different in the physics literature [10].
- 3.
In the context of this chapter, this condition is automatically satisfied.
- 4.
The Macaulay 2 variable X 1 is our − p. Note that Macaulay 2 views complexes in terms of homology rather than cohomology and so X 1 has R charge − 2.
- 5.
Let us assume the Calabi–Yau threefold is simply connected and the cohomology is torsion-free.
- 6.
This is proven by showing that it is incompatible with any weight order.
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Acknowledgements
I thank R. Plesser for many useful discussions. This work was partially supported by NSF grant DMS–0905923. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author and do not necessarily reflect the views of the National Science Foundation.
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Aspinwall, P.S. (2013). Some Applications of Commutative Algebra to String Theory. In: Peeva, I. (eds) Commutative Algebra. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-5292-8_2
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