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String theory.
The current “standard model” of particle physics—which is nearly 25 years old, has much experimental evidence in its favor and is comprised of six quarks, six leptons, four forces, and the as yet unobserved Higgs boson—contains internal indications that it, too, may be just another step along the path toward uncovering the truly fundamental degrees of freedom. Expand
Geometric singularities and enhanced gauge symmetries
Abstract Using “Tate's algorithm,” we identify loci in the moduli of F-theory compactifications corresponding to enhanced gauge symmetry. We apply this to test the proposed F-theory/heteroticExpand
Five-dimensional supersymmetric gauge theories and degenerations of Calabi-Yau spaces
Abstract We discuss five-dimensional supersymmetric gauge theories. An anomaly renders some theories inconsistent and others consistent only upon including a Wess-Zumino type Chern-Simons term. WeExpand
Compactifications of F-theory on Calabi-Yau threefolds. (I)
Abstract We continue our study of compactifications of F-theory on Calabi-Yau threefolds. We gain more insight into F-theory duals of heterotic strings and provide a recipe for building F-theoryExpand
Compactifications of F-Theory on Calabi--Yau Threefolds -- I
We study compactifications of F-theory on certain Calabi--Yau threefolds. We find that $N=2$ dualities of type II/heterotic strings in 4 dimensions get promoted to $N=1$ dualities between heteroticExpand
Orbifold resolution by D-branes
Abstract We study topological properties of the D-brane resolution of three-dimensional orbifold singularities, C 3 /Λ , for finite abelian groups Λ. The D-brane vacuum moduli space is shown to fillExpand
Non-spherical horizons, I
We formulate an extension of Maldacena’s AdS/CFT conjectures to the case of branes located at singular points in the ambient transverse space. For singularities which occur at finite distance in theExpand
Summing the instantons: Quantum cohomology and mirror symmetry in toric varieties
Abstract We use the gauged linear sigma model introduced by Witten to calculate instanton expansions for correlation functions in topological sigma models with target space a toric variety V or aExpand
F-theory and the Mordell-Weil group of elliptically-fibered Calabi-Yau threefolds
A bstractThe Mordell-Weil group of an elliptically fibered Calabi-Yau threefold X contains information about the abelian sector of the six-dimensional theory obtained by compactifying F-theory on X.Expand