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Counting BPS operators in gauge theories: quivers, syzygies and plethystics

- S. Benvenuti, Bo Feng, A. Hanany, Yang-Hui He
- Mathematics
- 7 August 2006

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 \to… Expand

Dimer models from mirror symmetry and quivering amoebae

- Bo Feng, Yang-Hui He, Kristian D. Kennaway, C. Vafa
- Physics
- 29 November 2005

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 obtained… Expand

D-brane gauge theories from toric singularities and toric duality ? ? Research supported in part by

- Bo Feng, A. Hanany, Yang-Hui He
- Engineering
- 13 March 2000

Counting gauge invariants: The Plethystic program

- Bo Feng, A. Hanany, Yang-Hui He
- Mathematics
- 8 January 2007

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 of… Expand

A Calabi-Yau database: threefolds constructed from the Kreuzer-Skarke list

- Ross Altman, J. Gray, Yang-Hui He, Vishnu Jejjala, B. Nelson
- Mathematics
- 5 November 2014

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 four… Expand

THE MASTER SPACE OF N=1 GAUGE THEORIES

- D. Forcella, A. Hanany, Yang-Hui He, A. Zaffaroni
- Mathematics
- 10 January 2008

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 mesonic… Expand

The Particle Spectrum of Heterotic Compactifications

- R. Donagi, Yang-Hui He, B. Ovrut, R. Reinbacher
- Mathematics, Physics
- 3 May 2004

Techniques are presented for computing the cohomology of stable, holomorphic vector bundles over elliptically fibered Calabi-Yau threefolds. These cohomology groups explicitly determine the spectrum… Expand

Unhiggsing the del Pezzo

- Bo Feng, S. Franco, A. Hanany, Yang-Hui He
- Mathematics
- 26 September 2002

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 the… Expand

Phase structure of D-brane gauge theories and toric duality

- Bo Feng, A. Hanany, Yang-Hui He
- Mathematics
- 30 April 2001

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 probing… Expand

The identity string field and the tachyon vacuum

- I. Ellwood, Bo Feng, Yang-Hui He, N. Moeller
- Physics
- 2 May 2001

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 level… Expand

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