Publications
225 results found
Bianchi M, Cremonesi S, Hanany A, et al., 2014, Mass-deformed brane tilings, JOURNAL OF HIGH ENERGY PHYSICS, ISSN: 1029-8479
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- Citations: 12
Cremonesi S, Hanany A, Mekareeya N, et al., 2014, Coulomb branch Hilbert series and three dimensional Sicilian theories, JOURNAL OF HIGH ENERGY PHYSICS, ISSN: 1029-8479
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- Citations: 39
Cremonesi S, Hanany A, Mekareeya N, et al., 2014, Coulomb branch Hilbert series and Hall-Littlewood polynomials, JOURNAL OF HIGH ENERGY PHYSICS, ISSN: 1029-8479
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- Citations: 52
Dey A, Hanany A, Koroteev P, et al., 2014, Mirror symmetry in three dimensions via gauged linear quivers, JOURNAL OF HIGH ENERGY PHYSICS, ISSN: 1029-8479
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- Citations: 14
Dey A, Hanany A, Mekareeya N, et al., 2014, Hilbert series for moduli spaces of instantons on C<SUP>2</SUP>/Z<sub><i>n</i></sub>, JOURNAL OF HIGH ENERGY PHYSICS, ISSN: 1029-8479
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- Citations: 24
Cremonesi S, Hanany A, Zaffaroni A, 2014, Monopole operators and Hilbert series of Coulomb branches of 3<i>d</i> <i>N</i>=4 gauge theories, JOURNAL OF HIGH ENERGY PHYSICS, ISSN: 1029-8479
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- Citations: 133
Hanany A, He Y-H, Sun C, et al., 2013, Superconformal block quivers, duality trees and Diophantine equations, JOURNAL OF HIGH ENERGY PHYSICS, ISSN: 1029-8479
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- Citations: 5
Cremonesi S, Hanany A, Seong R-K, 2013, Double handled brane tilings, JOURNAL OF HIGH ENERGY PHYSICS, ISSN: 1029-8479
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- Citations: 13
Hanany A, Mekareeya N, Razamat SS, 2013, Hilbert series for moduli spaces of two instantons, JOURNAL OF HIGH ENERGY PHYSICS, ISSN: 1029-8479
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- Citations: 48
Hanany A, Seong R-K, 2012, Brane tilings and specular duality, JOURNAL OF HIGH ENERGY PHYSICS, ISSN: 1029-8479
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- Citations: 24
Hanany A, Seong R-K, 2012, Brane tilings and reflexive polygons, FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS, Vol: 60, Pages: 695-803, ISSN: 0015-8208
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- Citations: 44
Hanany A, He Y-H, Jejjala V, et al., 2012, INVARIANTS OF TORIC SEIBERG DUALITY, INTERNATIONAL JOURNAL OF MODERN PHYSICS A, Vol: 27, ISSN: 0217-751X
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- Citations: 9
Hanany A, Mekareeya N, 2012, Complete intersection moduli spaces in N=4 gauge theories in three dimensions, JOURNAL OF HIGH ENERGY PHYSICS, ISSN: 1029-8479
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- Citations: 26
He Y-H, Candelas P, Hanany A, et al., 2012, Computational Algebraic Geometry in String and Gauge Theory, ADVANCES IN HIGH ENERGY PHYSICS, Vol: 2012, ISSN: 1687-7357
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- Citations: 14
Davey J, Hanany A, Mekareeya N, et al., 2011, M2-branes and Fano 3-folds, JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, Vol: 44, ISSN: 1751-8113
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- Citations: 9
Hanany A, Jejjala V, Ramgoolam S, et al., 2011, Calabi-Yau orbifolds and torus coverings, JOURNAL OF HIGH ENERGY PHYSICS, ISSN: 1029-8479
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- Citations: 10
Davey J, Hanany A, Seong RK, 2011, An introduction to counting orbifolds, Fortschritte der Physik, Vol: 59, Pages: 677-682, ISSN: 0015-8208
We review three methods of counting abelian orbifolds of the form ℂ3/Γ which are toric Calabi-Yau (CY). The methods include the use of 3-tuples to define the action of Γ on ℂ3, the counting of triangular toric diagrams and the construction of hexagonal brane tilings. A formula for the partition function that counts these orbifolds is given. Extensions to higher dimensional orbifolds are briefly discussed. © 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.
Davey J, Hanany A, Seong R-K, 2011, An introduction to counting orbifolds, 16th European Workshop on String Theory, Publisher: WILEY-V C H VERLAG GMBH, Pages: 677-682, ISSN: 0015-8208
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- Citations: 6
Hanany A, He Y-H, Jejjala V, et al., 2011, The beta ansatz: a tale of two complex structures, JOURNAL OF HIGH ENERGY PHYSICS, ISSN: 1029-8479
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- Citations: 14
Forcella D, Hanany A, Troost J, 2011, The covariant perturbative string spectrum, NUCLEAR PHYSICS B, Vol: 846, Pages: 212-225, ISSN: 0550-3213
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- Citations: 18
Davey J, Hanany A, Mekareeya N, et al., 2011, M2-Branes and Fano 3-folds, Journal of Physics A: Mathematical and Theoretical
Hanany A, Jenkins EE, Manohar AV, et al., 2011, Hilbert series for flavor invariants of the Standard Model, JOURNAL OF HIGH ENERGY PHYSICS, ISSN: 1029-8479
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- Citations: 42
Hanany A, Mekareeya N, 2011, Tri-vertices and SU(2)'s, JOURNAL OF HIGH ENERGY PHYSICS, ISSN: 1029-8479
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- Citations: 32
Hanany A, Seong R-K, 2011, Symmetries of Abelian Orbifolds
Using the Polya Enumeration Theorem, we count with particular attention to C^3/Gamma up to C^6/Gamma, abelian orbifolds in various dimensions which are invariant under cycles of the permutation group S_D. This produces a collection of multiplicative sequences, one for each cycle in the Cycle Index of the permutation group. A multiplicative sequence is controlled by its values on prime numbers and their pure powers. Therefore, we pay particular attention to orbifolds of the form C^D/Gamma where the order of Gamma is p^alpha. We propose a generalization of these sequences for any D and any p.
Hanany A, Jejjala V, Ramgoolam S, et al., 2011, Calabi-yau orbifolds and torus coverings, Journal of High Energy Physics, Vol: 2011, ISSN: 1126-6708
The theory of coverings of the two-dimensional torus is a standard part of algebraic topology and has applications in several topics in string theory, for example, in topological strings. This paper initiates applications of this theory to the counting of orbifolds of toric Calabi-Yau singularities, with particular attention to Abelian orbifolds of CD. By doing so, the work introduces a novel analytical method for counting Abelian orbifolds, verifying previous algorithm results. One identifies a p-fold cover of the torus TD-1 with an Abelian orbifold of the form CD=Zp, for any dimension D and a prime number p. The counting problem leads to polynomial equations modulo p for a given Abelian subgroup of SD, the group of discrete symmetries of the toric diagram for CD. The roots of the polynomial equations correspond to orbifolds of the form CD=Zp, which are invariant under the corresponding subgroup of SD. In turn, invariance under this subgroup implies a discrete symmetry for the corresponding quiver gauge theory, as is clearly seen by its brane tiling formulation.
Hanany A, Seong R-K, 2011, Symmetries of abelian orbifolds, JOURNAL OF HIGH ENERGY PHYSICS, ISSN: 1029-8479
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- Citations: 14
Hanany A, He Y-H, 2011, Chern-Simons: Fano and Calabi-Yau, ADVANCES IN HIGH ENERGY PHYSICS, Vol: 2011, ISSN: 1687-7357
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- Citations: 3
Davey J, Hanany A, Seong R-K, 2010, Counting orbifolds, JOURNAL OF HIGH ENERGY PHYSICS, ISSN: 1029-8479
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- Citations: 22
Benvenuti S, Hanany A, Mekareeya N, 2010, The Hilbert series of the one instanton moduli space, JOURNAL OF HIGH ENERGY PHYSICS, ISSN: 1029-8479
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- Citations: 110
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