• Publications
  • Influence
Dimer models from mirror symmetry and quivering amoebae
Dimer models are 2-dimensional combinatorial systems that have been shown to encode the gauge groups, matter content and tree-level superpotential of the world-volume quiver gauge theories obtainedExpand
  • 245
  • 25
  • PDF
Counting BPS operators in gauge theories: quivers, syzygies and plethystics
We develop a systematic and efficient method of counting single-trace and multi-trace BPS operators with two supercharges, for world-volume gauge theories of $N$ D-brane probes for both $N \toExpand
  • 302
  • 22
  • PDF
D-brane gauge theories from toric singularities and toric duality ? ? Research supported in part by
A self-contained electric power driven bolt actuator unit for installation with a high security door locking mechanism comprising a housing adapted to be mounted on the door in operative associationExpand
  • 276
  • 19
  • PDF
Counting gauge invariants: The Plethystic program
We propose a programme for systematically counting the single and multi-trace gauge invariant operators of a gauge theory. Key to this is the plethystic function. We expound in detail the power ofExpand
  • 199
  • 14
  • PDF
The full moduli space M of a class of N=1 supersymmetric gauge theories is studied. For gauge theories living on a stack of D3-branes at Calabi-Yau singularities X, M is a combination of the mesonicExpand
  • 113
  • 10
  • PDF
The Particle Spectrum of Heterotic Compactifications
Techniques are presented for computing the cohomology of stable, holomorphic vector bundles over elliptically fibered Calabi-Yau threefolds. These cohomology groups explicitly determine the spectrumExpand
  • 113
  • 7
  • PDF
A Calabi-Yau database: threefolds constructed from the Kreuzer-Skarke list
A bstractKreuzer and Skarke famously produced the largest known database of Calabi-Yau threefolds by providing a complete construction of all 473,800,776 reflexive polyhedra that exist in fourExpand
  • 60
  • 6
  • PDF
Phase structure of D-brane gauge theories and toric duality
Harnessing the unimodular degree of freedom in the definition of any toric diagram, we present a method of constructing inequivalent gauge theories which are world-volume theories of D-branes probingExpand
  • 130
  • 6
  • PDF
Unhiggsing the del Pezzo
We develop an unhiggsing procedure for finding the D-brane probe world volume gauge theory for blowups of geometries whose gauge theory data are known. As specific applications we unhiggs theExpand
  • 104
  • 6
  • PDF
The identity string field and the tachyon vacuum
We show that the triviality of the entire cohomology of the new BRST operator Q around the tachyon vacuum is equivalent to the Q-exactness of the identity I of the star-algebra. We use levelExpand
  • 92
  • 5
  • PDF