BPS States, Crystals, and Matrices

Sułkowski, Piotr

doi:10.1155/2011/357016

BPS States, Crystals, and Matrices

Journal Article · Sat Jan 01 00:00:00 EST 2011 · Advances in High Energy Physics

DOI:https://doi.org/10.1155/2011/357016· OSTI ID:1197931

Sułkowski, Piotr ^[1]

California Institute of Technology, Pasadena, CA 91125, USA, Faculty of Physics, University of Warsaw, ul. Hoża 69, 00-681 Warsaw, Poland

We review free fermion, melting crystal, and matrix model representations of wall-crossing phenomena on local, toric Calabi-Yau manifolds. We consider both unrefined and refined BPS counting of closed BPS states involving D2- and D0-branes bound to a D6-brane, as well as open BPS states involving open D2-branes ending on an additional D4-brane. Appropriate limit of these constructions provides, among the others, matrix model representation of refined and unrefined topological string amplitudes.

View Journal Article

Sponsoring Organization:: USDOE

OSTI ID:: 1197931

Journal Information:: Advances in High Energy Physics, Journal Name: Advances in High Energy Physics Vol. 2011; ISSN 1687-7357

Publisher:: Hindawi Publishing CorporationCopyright Statement

Country of Publication:: Egypt

Language:: English

References (22)

The Topological Vertex Aganagic, Mina; Klemm, Albrecht; Mari�o, Marcos Communications in Mathematical Physics, Vol. 254, Issue 2 https://doi.org/10.1007/s00220-004-1162-z	journal	September 2004
Chern-Simons Theory, Matrix Integrals, and Perturbative Three-Manifold Invariants Mariño, Marcos Communications in Mathematical Physics, Vol. 253, Issue 1 https://doi.org/10.1007/s00220-004-1194-4	journal	November 2004
Topological Strings and Integrable Hierarchies Aganagic, Mina; Dijkgraaf, Robbert; Klemm, Albrecht Communications in Mathematical Physics, Vol. 261, Issue 2 https://doi.org/10.1007/s00220-005-1448-9	journal	October 2005
Refined, Motivic, and Quantum Dimofte, Tudor; Gukov, Sergei Letters in Mathematical Physics, Vol. 91, Issue 1 https://doi.org/10.1007/s11005-009-0357-9	journal	November 2009
Liouville Correlation Functions from Four-Dimensional Gauge Theories Alday, Luis F.; Gaiotto, Davide; Tachikawa, Yuji Letters in Mathematical Physics, Vol. 91, Issue 2 https://doi.org/10.1007/s11005-010-0369-5	journal	January 2010
2D gravity and random matrices Francesco, P. Di; Ginsparg, P.; Zinn-Justin, J. Physics Reports, Vol. 254, Issue 1-2 https://doi.org/10.1016/0370-1573(94)00084-G	journal	March 1995
Knot invariants and topological strings Ooguri, Hirosi; Vafa, Cumrun Nuclear Physics B, Vol. 577, Issue 3 https://doi.org/10.1016/S0550-3213(00)00118-8	journal	June 2000
Seiberg–Witten theory and matrix models Klemm, Albrecht; Sułkowski, Piotr Nuclear Physics B, Vol. 819, Issue 3 https://doi.org/10.1016/j.nuclphysb.2009.04.004	journal	October 2009
Knots, links and branes at large N Labastida, José M. F.; Mariño, Marcos; Vafa, Cumrun Journal of High Energy Physics, Vol. 2000, Issue 11 https://doi.org/10.1088/1126-6708/2000/11/007	journal	November 2000
Matrix model as a mirror of Chern-Simons theory Aganagic, Mina; Klemm, Albrecht; Marino, Marcos Journal of High Energy Physics, Vol. 2004, Issue 02 https://doi.org/10.1088/1126-6708/2004/02/010	journal	February 2004
Instanton counting, Macdonald function and the moduli space of D -branes Awata, Hidetoshi; Kanno, Hiroaki Journal of High Energy Physics, Vol. 2005, Issue 05 https://doi.org/10.1088/1126-6708/2005/05/039	journal	May 2005
Knot invariants and Calabi-Yau crystals Halmagyi, Nick; Sinkovics, Annamaria; Sulkowski, Piotr Journal of High Energy Physics, Vol. 2006, Issue 01 https://doi.org/10.1088/1126-6708/2006/01/040	journal	January 2006
New connections between 4D and 5D black holes Gaiotto, Davide; Strominger, Andrew; Yin, Xi Journal of High Energy Physics, Vol. 2006, Issue 02 https://doi.org/10.1088/1126-6708/2006/02/024	journal	February 2006
D -branes as a bubbling Calabi-Yau Gomis, Jaume; Okuda, Takuya Journal of High Energy Physics, Vol. 2007, Issue 07 https://doi.org/10.1088/1126-6708/2007/07/005	journal	July 2007
Refined topological vertex and instanton counting Taki, Masato Journal of High Energy Physics, Vol. 2008, Issue 03 https://doi.org/10.1088/1126-6708/2008/03/048	journal	March 2008
Quantum foam and topological strings Iqbal, Amer; Vafa, Cumrun; Nekrasov, Nikita Journal of High Energy Physics, Vol. 2008, Issue 04 https://doi.org/10.1088/1126-6708/2008/04/011	journal	April 2008
The refined topological vertex Iqbal, Amer; Kozçaz, Can; Vafa, Cumrun Journal of High Energy Physics, Vol. 2009, Issue 10 https://doi.org/10.1088/1126-6708/2009/10/069	journal	October 2009
Gromov–Witten theory and Donaldson–Thomas theory, I Maulik, D.; Nekrasov, N.; Okounkov, A. Compositio Mathematica, Vol. 142, Issue 05 https://doi.org/10.1112/S0010437X06002302	journal	September 2006
Refined bps State Counting from Nekrasov'S Formula and Macdonald Functions Awata, Hidetoshi; Kanno, Hiroaki International Journal of Modern Physics A, Vol. 24, Issue 12 https://doi.org/10.1142/S0217751X09043006	journal	May 2009
Five-Dimensional AGT Relation and the Deformed -Ensemble Awata, H.; Yamada, Y. Progress of Theoretical Physics, Vol. 124, Issue 2 https://doi.org/10.1143/PTP.124.227	journal	August 2010
Wall Crossing and M-Theory Aganagic, Mina; Ooguri, Hirosi; Vafa, Cumrun Publications of the Research Institute for Mathematical Sciences https://doi.org/10.2977/PRIMS/44	journal	January 2011
Solitons and infinite-dimensional Lie algebras Jimbo, Michio; Miwa, Tetsuji Publications of the Research Institute for Mathematical Sciences, Vol. 19, Issue 3 https://doi.org/10.2977/prims/1195182017	journal	January 1983

Similar Records

Refined matrix models from BPS counting

Journal Article · Fri Apr 15 00:00:00 EDT 2011 · Physical Review. D, Particles Fields · OSTI ID:21541541

Global Magni4icence, or: 4G Networks

Journal Article · Wed Nov 27 19:00:00 EST 2024 · Symmetry, Integrability and Geometry: Methods and Applications · OSTI ID:2580352

Topological strings, strips and quivers

Journal Article · Mon Jan 14 19:00:00 EST 2019 · Journal of High Energy Physics (Online) · OSTI ID:1611634

BPS States, Crystals, and Matrices

Citation Formats

References (22)

Similar Records

Related Subjects