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Publications Influence

Evidence for F theory

- C. Vafa
- Physics
- 5 February 1996

Abstract We construct compact examples of D-manifolds for type IIB strings. The construction has a natural interpretation in terms of compactification of a 12-dimensional `F-theory'. We provide… Expand

1,373 208- PDF

Mirror Symmetry

• Space translation. If I have some apparatus, and move it to a different place it will work the same. The laws governing its behavior are the same under space translation. • Time translation. The… Expand

1,344 179- PDF

Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes

- M. Bershadsky, S. Cecotti, H. Ooguri, C. Vafa
- Mathematics, Physics
- 27 September 1993

We develop techniques to compute higher loop string amplitudes for twistedN=2 theories withĉ=3 (i.e. the critical case). An important ingredient is the discovery of an anomaly at every genus in… Expand

1,197 173- PDF

A Strong coupling test of S duality

- C. Vafa, Edward Witten
- Physics
- 12 August 1994

Abstract By studying the partition function of N =4 topologically twisted supersymmetric Yang-Mills on four-manifolds, we make an exact strong coupling test of the Montonen-Olive strong-weak duality… Expand

1,020 136- PDF

Microscopic origin of the Bekenstein-Hawking entropy

- A. Strominger, C. Vafa
- Physics
- 9 January 1996

Abstract The Bekenstein-Hawking area-entropy relation S BH = A 4 is derived for a class of five-dimensional extremal black holes in string theory by counting the degeneracy of BPS solition bound… Expand

2,643 130- PDF

Knot Invariants and Topological Strings

We find further evidence for the conjecture relating large N Chern-Simons theory on S^3 with topological string on the resolved conifold geometry by showing that the Wilson loop observable of a… Expand

535 108- PDF

The String landscape, black holes and gravity as the weakest force

- N. Arkani-Hamed, Luboš Motl, A. Nicolis, C. Vafa
- Physics
- 2 January 2006

We conjecture a general upper bound on the strength of gravity relative to gauge forces in quantum gravity. This implies, in particular, that in a four-dimensional theory with gravity and a U(1)… Expand

704 88- PDF

M theory and topological strings. 2.

- R. Gopakumar, C. Vafa
- Physics
- 25 September 1998

The $R^2 F^{2g-2}$ terms of Type IIA strings on Calabi-Yau 3-folds, which are given by the corresponding topological string amplitudes (a worldsheet instanton sum for all genera), are shown to have a… Expand

645 86- PDF

The Topological Vertex

- M. Aganagic, A. Klemm, M. Mariño, C. Vafa
- Mathematics, Physics
- 15 May 2003

We construct a cubic field theory which provides all genus amplitudes of the topological A-model for all non-compact toric Calabi-Yau threefolds. The topology of a given Feynman diagram encodes the… Expand

654 75- PDF

CFT's from Calabi–Yau four-folds

- S. Gukov, C. Vafa, Edward Witten
- Physics
- 9 June 1999

We consider F/M/Type IIA theory compactified to four, three, or two dimensions on a Calabi–Yau four-fold, and study the behavior near an isolated singularity in the presence of appropriate fluxes and… Expand

1,081 73- PDF