Sequencing BPS spectra

Gukov, Sergei; Nawata, Satoshi; Saberi, Ingmar; Stošić, Marko; Sułkowski, Piotr

doi:10.1007/JHEP03(2016)004

Title: Sequencing BPS spectra

Journal Article · Wed Mar 02 00:00:00 EST 2016 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP03(2016)004· OSTI ID:1327009

Gukov, Sergei ^[1]; Nawata, Satoshi ^[2]; Saberi, Ingmar ^[3]; Stošić, Marko ^[4]; Sułkowski, Piotr ^[5]

California Inst. of Technology (CalTech), Pasadena, CA (United States); Max-Planck-Institut fur Mathematik, Bonn (Germany)
California Inst. of Technology (CalTech), Pasadena, CA (United States); Aarhus Univ. (Denmark)
California Inst. of Technology (CalTech), Pasadena, CA (United States)
Instituto Superior Tecnico, Lisbon (Portugal); Mathematical Institute SANU, Belgrade (Serbia)
California Inst. of Technology (CalTech), Pasadena, CA (United States); Univ. of Warsaw (Poland)

In this article, we provide both a detailed study of color-dependence of link homologies, as realized in physics as certain spaces of BPS states, and a broad study of the behavior of BPS states in general. We consider how the spectrum of BPS states varies as continuous parameters of a theory are perturbed. This question can be posed in a wide variety of physical contexts, and we answer it by proposing that the relationship between unperturbed and perturbed BPS spectra is described by a spectral sequence. These general considerations unify previous applications of spectral sequence techniques to physics, and explain from a physical standpoint the appearance of many spectral sequences relating various link homology theories to one another. We also study structural properties of colored HOMFLY homology for links and evaluate Poincar e polynomials in numerous examples. Among these structural properties is a novel "sliding" property, which can be explained by using (re fined) modular S-matrix. This leads to the identi fication of modular transformations in Chern-Simons theory and 3d N = 2 theory via the 3d/3d correspondence. In conclusion, we introduce the notion of associated varieties as classical limits of recursion relations of colored superpolynomials of links, and study their properties.

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Research Organization:: California Institute of Technology (CalTech), Pasadena, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: SC0011632

OSTI ID:: 1327009

Journal Information:: Journal of High Energy Physics (Online), Vol. 2016, Issue 3; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 36 works

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References (84)

Algebras, BPS states, and strings Harvey, Jeffrey A.; Moore, Gregory Nuclear Physics B, Vol. 463, Issue 2-3 https://doi.org/10.1016/0550-3213(95)00605-2	journal	March 1996
Khovanov-Rozansky Homology and Topological Strings Gukov, Sergei; Schwarz, Albert; Vafa, Cumrun Letters in Mathematical Physics, Vol. 74, Issue 1 https://doi.org/10.1007/s11005-005-0008-8	journal	October 2005
Seiberg-Witten Prepotential from Instanton Counting Nekrasov, Nikita A. Advances in Theoretical and Mathematical Physics, Vol. 7, Issue 5 https://doi.org/10.4310/ATMP.2003.v7.n5.a4	journal	January 2003
Gauge Theories and Macdonald Polynomials Gadde, Abhijit; Rastelli, Leonardo; Razamat, Shlomo S. Communications in Mathematical Physics, Vol. 319, Issue 1 https://doi.org/10.1007/s00220-012-1607-8	journal	November 2012
sl(3) link homology Khovanov, Mikhail Algebraic & Geometric Topology, Vol. 4, Issue 2 https://doi.org/10.2140/agt.2004.4.1045	journal	January 2004
A unified Witten–Reshetikhin–Turaev invariant for integral homology spheres Habiro, Kazuo Inventiones mathematicae, Vol. 171, Issue 1 https://doi.org/10.1007/s00222-007-0071-0	journal	September 2007
The colored Jones polynomials and the simplicial volume of a knot Murakami, Hitoshi; Murakami, Jun Acta Mathematica, Vol. 186, Issue 1 https://doi.org/10.1007/BF02392716	journal	January 2001
Differential Forms in Algebraic Topology Bott, Raoul; Tu, Loring W. Graduate Texts in Mathematics https://doi.org/10.1007/978-1-4757-3951-0	book	January 1982
Refined knot invariants and Hilbert schemes Gorsky, Eugene; Neguţ, Andrei Journal de Mathématiques Pures et Appliquées, Vol. 104, Issue 3 https://doi.org/10.1016/j.matpur.2015.03.003	journal	September 2015
Polynomial Invariants for Torus Knots¶and Topological Strings Labastida, J. M. F.; Mariño, Marcos Communications in Mathematical Physics, Vol. 217, Issue 2 https://doi.org/10.1007/s002200100374	journal	March 2001
Computing Khovanov–Rozansky homology and defect fusion Carqueville, Nils; Murfet, Daniel Algebraic & Geometric Topology, Vol. 14, Issue 1 https://doi.org/10.2140/agt.2014.14.489	journal	January 2014
Gauge Theories Labelled by Three-Manifolds Dimofte, Tudor; Gaiotto, Davide; Gukov, Sergei Communications in Mathematical Physics, Vol. 325, Issue 2 https://doi.org/10.1007/s00220-013-1863-2	journal	December 2013
On the characteristic and deformation varieties of a knot Garoufalidis, Stavros Conference on the Topology of Manifolds of Dimensions 3 and 4, Proceedings of the Casson Fest https://doi.org/10.2140/gtm.2004.7.291	conference	September 2004
Quantum ( sl _n , ∧V _n ) link invariant and matrix factorizations Yonezawa, Yasuyoshi Nagoya Mathematical Journal, Vol. 204 https://doi.org/10.1215/00277630-1431840	journal	December 2011
Calculation of BRS cohomology with spectral sequences Dixon, J. A. Communications in Mathematical Physics, Vol. 139, Issue 3 https://doi.org/10.1007/BF02101877	journal	August 1991
Three-Dimensional Quantum Gravity, Chern-Simons Theory, and the A-Polynomial Gukov, Sergei Communications in Mathematical Physics, Vol. 255, Issue 3 https://doi.org/10.1007/s00220-005-1312-y	journal	March 2005
Large N Duality, Lagrangian Cycles, and Algebraic Knots Diaconescu, D. -E.; Shende, V.; Vafa, C. Communications in Mathematical Physics, Vol. 319, Issue 3 https://doi.org/10.1007/s00220-012-1563-3	journal	October 2012
Plane curves associated to character varieties of 3-manifolds Cooper, D.; Culler, M.; Gillet, H. Inventiones Mathematicae, Vol. 118, Issue 1 https://doi.org/10.1007/BF01231526	journal	December 1994
A link-splitting spectral sequence in Khovanov homology Batson, Joshua; Seed, Cotton Duke Mathematical Journal, Vol. 164, Issue 5 https://doi.org/10.1215/00127094-2881374	journal	April 2015
On the quantum sl 2 invariants of knots and integral homology spheres Habiro, Kazuo Invariants of Knots and 3--manifolds (Kyoto 2001) https://doi.org/10.2140/gtm.2002.4.55	conference	September 2002
Evolution method and “differential hierarchy” of colored knot polynomials Mironov, A.; Morozov, A.; Morozov, And. NONLINEAR AND MODERN MATHEMATICAL PHYSICS: Proceedings of the 2nd International Workshop, AIP Conference Proceedings https://doi.org/10.1063/1.4828688	conference	January 2013
Refined Hopf link revisited Iqbal, Amer; Kozçaz, Can Journal of High Energy Physics, Vol. 2012, Issue 4 https://doi.org/10.1007/JHEP04(2012)046	journal	April 2012
Chiral Rings and Anomalies in Supersymmetric Gauge Theory Cachazo, Freddy; Douglas, Michael R.; Seiberg, Nathan Journal of High Energy Physics, Vol. 2002, Issue 12 https://doi.org/10.1088/1126-6708/2002/12/071	journal	December 2002
Torus Knots and the Topological Vertex Jockers, Hans; Klemm, Albrecht; Soroush, Masoud Letters in Mathematical Physics, Vol. 104, Issue 8 https://doi.org/10.1007/s11005-014-0687-0	journal	March 2014
Knot Invariants from Topological Recursion on Augmentation Varieties Gu, Jie; Jockers, Hans; Klemm, Albrecht Communications in Mathematical Physics, Vol. 336, Issue 2 https://doi.org/10.1007/s00220-014-2238-z	journal	December 2014
$ {\text{SL}}\left( {2,\mathbb{R}} \right) $ Chern-Simons, Liouville, and gauge theory on duality walls Terashima, Yuji; Yamazaki, Masahito Journal of High Energy Physics, Vol. 2011, Issue 8 https://doi.org/10.1007/JHEP08(2011)135	journal	August 2011
B-type defects in Landau-Ginzburg models Brunner, Ilka; Roggenkamp, Daniel Journal of High Energy Physics, Vol. 2007, Issue 08 https://doi.org/10.1088/1126-6708/2007/08/093	journal	August 2007
Super-A-polynomial for knots and BPS states Fuji, Hiroyuki; Gukov, Sergei; Sułkowski, Piotr Nuclear Physics B, Vol. 867, Issue 2 https://doi.org/10.1016/j.nuclphysb.2012.10.005	journal	February 2013
The Superpolynomial for Knot Homologies Dunfield, Nathan M.; Gukov, Sergei; Rasmussen, Jacob Experimental Mathematics, Vol. 15, Issue 2 https://doi.org/10.1080/10586458.2006.10128956	journal	January 2006
Vortex Counting and Lagrangian 3-Manifolds Dimofte, Tudor; Gukov, Sergei; Hollands, Lotte Letters in Mathematical Physics, Vol. 98, Issue 3 https://doi.org/10.1007/s11005-011-0531-8	journal	October 2011
Stability of Landau-Ginzburg branes Walcher, Johannes Journal of Mathematical Physics, Vol. 46, Issue 8 https://doi.org/10.1063/1.2007590	journal	August 2005
Superpolynomials for torus knots from evolution induced by cut-and-join operators Dunin-Barkowski, P.; Mironov, A.; Morozov, A. Journal of High Energy Physics, Vol. 2013, Issue 3 https://doi.org/10.1007/JHEP03(2013)021	journal	March 2013
BRST analysis of physical states for 2D gravity coupled toc≦1 matter Bouwknegt, Peter; McCarthy, Jim; Pilch, Krzysztof Communications in Mathematical Physics, Vol. 145, Issue 3 https://doi.org/10.1007/BF02099397	journal	April 1992
3d TQFT from 6d SCFT Yagi, Junya Journal of High Energy Physics, Vol. 2013, Issue 8 https://doi.org/10.1007/JHEP08(2013)017	journal	August 2013
Combinatorial knot contact homology and transverse knots Ng, Lenhard Advances in Mathematics, Vol. 227, Issue 6 https://doi.org/10.1016/j.aim.2011.04.014	journal	August 2011
Supersymmetry and Morse theory Witten, Edward Journal of Differential Geometry, Vol. 17, Issue 4 https://doi.org/10.4310/jdg/1214437492	journal	January 1982
Character Expansion for Homfly Polynomials iii: all 3-Strand Braids in the First Symmetric Representation Itoyama, H.; Mironov, A.; Morozov, A. International Journal of Modern Physics A, Vol. 27, Issue 19 https://doi.org/10.1142/S0217751X12500996	journal	July 2012
A-polynomial, B-model, and quantization Gukov, Sergei; Sulkowski, Piotr Journal of High Energy Physics, Vol. 2012, Issue 2 https://doi.org/10.1007/JHEP02(2012)070	journal	February 2012
Patterns in Knot Cohomology, I Khovanov, Mikhail Experimental Mathematics, Vol. 12, Issue 3 https://doi.org/10.1080/10586458.2003.10504505	journal	January 2003
Walls, lines, and spectral dualities in 3d gauge theories Gadde, Abhijit; Gukov, Sergei; Putrov, Pavel Journal of High Energy Physics, Vol. 2014, Issue 5 https://doi.org/10.1007/JHEP05(2014)047	journal	May 2014
The colored Jones function is q-holonomic Garoufalidis, Stavros; Le, Thang T. Q. Geometry & Topology, Vol. 9, Issue 3 https://doi.org/10.2140/gt.2005.9.1253	journal	January 2005
Topological strings, D-model, and knot contact homology Vafa, Cumrun; Aganagic, Mina; Ekholm, Tobias Advances in Theoretical and Mathematical Physics, Vol. 18, Issue 4 https://doi.org/10.4310/ATMP.2014.v18.n4.a3	journal	January 2014
Torus Knots and Mirror Symmetry Brini, Andrea; Mariño, Marcos; Eynard, Bertrand Annales Henri Poincaré, Vol. 13, Issue 8 https://doi.org/10.1007/s00023-012-0171-2	journal	March 2012
Link polynomial calculus and the AENV conjecture Arthamonov, S.; Mironov, A.; Morozov, A. Journal of High Energy Physics, Vol. 2014, Issue 4 https://doi.org/10.1007/JHEP04(2014)156	journal	April 2014
Distinguishing Mutants by knot Polynomials Morton, Hugh R.; Cromwell, Peter R. Journal of Knot Theory and Its Ramifications, Vol. 05, Issue 02 https://doi.org/10.1142/S0218216596000163	journal	April 1996
Multiple series Rogers-Ramanujan type identities Andrews, George Pacific Journal of Mathematics, Vol. 114, Issue 2 https://doi.org/10.2140/pjm.1984.114.267	journal	January 1984
Geometric engineering of quantum field theories Katz, Sheldon; Klemm, Albrecht; Vafa, Cumrun Nuclear Physics B, Vol. 497, Issue 1-2 https://doi.org/10.1016/S0550-3213(97)00282-4	journal	July 1997
Categorifying fractional Euler characteristics, Jones–Wenzl projectors and 3j-symbols Frenkel, Igor; Stroppel, Catharina; Sussan, Joshua Quantum Topology https://doi.org/10.4171/QT/28	journal	January 2012
Categorification of the Jones–Wenzl projectors Cooper, Benjamin; Krushkal, Vyacheslav Quantum Topology https://doi.org/10.4171/QT/27	journal	January 2012
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
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
On the Invariants of Torus Knots Derived from Quantum Groups Rosso, Marc; Jones, Vaughan Journal of Knot Theory and Its Ramifications, Vol. 02, Issue 01 https://doi.org/10.1142/S0218216593000064	journal	March 1993
Elliptic Genera of Two-Dimensional $${\mathcal{N} = 2}$$ N = 2 Gauge Theories with Rank-One Gauge Groups Benini, Francesco; Eager, Richard; Hori, Kentaro Letters in Mathematical Physics, Vol. 104, Issue 4 https://doi.org/10.1007/s11005-013-0673-y	journal	November 2013
Matrix factorizations and link homology II Khovanov, Mikhail; Rozansky, Lev Geometry & Topology, Vol. 12, Issue 3 https://doi.org/10.2140/gt.2008.12.1387	journal	January 2008
Dynamical breaking of supersymmetry Witten, Edward Nuclear Physics B, Vol. 188, Issue 3 https://doi.org/10.1016/0550-3213(81)90006-7	journal	October 1981
Phases of N = 2 theories in two dimensions Witten, Edward Nuclear Physics B, Vol. 403, Issue 1-2 https://doi.org/10.1016/0550-3213(93)90033-L	journal	August 1993
Colored Homfly Polynomials from Chern-Simons Theory Nawata, Satoshi; Ramadevi, P. Journal of Knot Theory and Its Ramifications, Vol. 22, Issue 13, p. 1350078 https://doi.org/10.1142/S0218216513500788	journal	November 2013
Volume conjecture: refined and categorified Awata, Hidetoshi; Fuji, Hiroyuki; Gukov, Sergei Advances in Theoretical and Mathematical Physics, Vol. 16, Issue 6 https://doi.org/10.4310/ATMP.2012.v16.n6.a3	journal	January 2012
Torus knots and the rational DAHA Gorsky, Eugene; Oblomkov, Alexei; Rasmussen, Jacob Duke Mathematical Journal, Vol. 163, Issue 14 https://doi.org/10.1215/00127094-2827126	journal	November 2014
Khovanov homology and the slice genus Rasmussen, Jacob Inventiones mathematicae, Vol. 182, Issue 2 https://doi.org/10.1007/s00222-010-0275-6	journal	September 2010
Surface operators and separation of variables Frenkel, Edward; Gukov, Sergei; Teschner, Jörg Journal of High Energy Physics, Vol. 2016, Issue 1 https://doi.org/10.1007/JHEP01(2016)179	journal	January 2016
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
Modular invariance for conformal full field algebras Huang, Yi-Zhi; Kong, Liang Transactions of the American Mathematical Society, Vol. 362, Issue 06 https://doi.org/10.1090/S0002-9947-09-04933-2	journal	December 2009
Ribbon graphs and their invaraints derived from quantum groups Reshetikhin, N. Y.; Turaev, V. G. Communications in Mathematical Physics, Vol. 127, Issue 1 https://doi.org/10.1007/BF02096491	journal	January 1990
:{unav) Kashaev, R. M. Letters in Mathematical Physics, Vol. 39, Issue 3, p. 269-275 https://doi.org/10.1023/A:1007364912784	journal	January 1997
A categorification of the Jones polynomial Khovanov, Mikhail Duke Mathematical Journal, Vol. 101, Issue 3 https://doi.org/10.1215/S0012-7094-00-10131-7	journal	February 2000
Character expansion for HOMFLY polynomials. II. Fundamental representation. Up to five strands in braid Mironov, A.; Morozov, A.; Morozov, And. Journal of High Energy Physics, Vol. 2012, Issue 3 https://doi.org/10.1007/JHEP03(2012)034	journal	March 2012
On the Landau-Ginzburg Description of n=2 Minimal Models Witten, Edward International Journal of Modern Physics A, Vol. 09, Issue 27 https://doi.org/10.1142/S0217751X9400193X	journal	October 1994
An endomorphism of the Khovanov invariant Lee, Eun Soo Advances in Mathematics, Vol. 197, Issue 2 https://doi.org/10.1016/j.aim.2004.10.015	journal	November 2005
Lagrangians for the Gopakumar–Vafa conjecture Taubes, Clifford Henry Advances in Theoretical and Mathematical Physics, Vol. 5, Issue 1 https://doi.org/10.4310/ATMP.2001.v5.n1.a5	journal	January 2001
Khovanov homology of torus links Stošić, Marko Topology and its Applications, Vol. 156, Issue 3 https://doi.org/10.1016/j.topol.2008.08.004	journal	January 2009
Framed knot contact homology Ng, Lenhard Duke Mathematical Journal, Vol. 141, Issue 2 https://doi.org/10.1215/S0012-7094-08-14125-0	journal	February 2008
3d Chern-Simons theory from M5-branes Lee, Sungjay; Yamazaki, Masahito Journal of High Energy Physics, Vol. 2013, Issue 12 https://doi.org/10.1007/JHEP12(2013)035	journal	December 2013
Braid group actions on derived categories of coherent sheaves Thomas, Richard; Seidel, Paul Duke Mathematical Journal, Vol. 108, Issue 1 https://doi.org/10.1215/S0012-7094-01-10812-0	journal	May 2001
On the modularity of the unified WRT invariants of certain Seifert manifolds Bringmann, Kathrin; Hikami, Kazuhiro; Lovejoy, Jeremy Advances in Applied Mathematics, Vol. 46, Issue 1-4 https://doi.org/10.1016/j.aam.2009.12.004	journal	January 2011
Gauge theory and knot homologies Gukov, S. Fortschritte der Physik, Vol. 55, Issue 5-7 https://doi.org/10.1002/prop.200610385	journal	May 2007
Four‐dimensional topological quantum field theory, Hopf categories, and the canonical bases Crane, Louis; Frenkel, Igor B. Journal of Mathematical Physics, Vol. 35, Issue 10 https://doi.org/10.1063/1.530746	journal	October 1994
Counting chiral primaries in , superconformal field theories Römelsberger, Christian Nuclear Physics B, Vol. 747, Issue 3 https://doi.org/10.1016/j.nuclphysb.2006.03.037	journal	July 2006
Super-A-polynomials for twist knots Nawata, Satoshi; Ramadevi, P. Journal of High Energy Physics, Vol. 2012, Issue 11 https://doi.org/10.1007/JHEP11(2012)157	journal	November 2012
Knot Homology and Refined Chern–Simons Index Aganagic, Mina; Shakirov, Shamil Communications in Mathematical Physics, Vol. 333, Issue 1 https://doi.org/10.1007/s00220-014-2197-4	journal	November 2014
Quantum field theory and the Jones polynomial Witten, Edward Communications in Mathematical Physics, Vol. 121, Issue 3 https://doi.org/10.1007/BF01217730	journal	September 1989
On Khovanov’s categorification of the Jones polynomial Bar-Natan, Dror Algebraic & Geometric Topology, Vol. 2, Issue 1 https://doi.org/10.2140/agt.2002.2.337	journal	January 2002
Matrix factorizations and link homology Khovanov, Mikhail; Rozansky, Lev Fundamenta Mathematicae, Vol. 199, Issue 1 https://doi.org/10.4064/fm199-1-1	journal	January 2008
Quantization and representation theory of finiteW algebras de Boer, Jan; Tjin, Tjark Communications in Mathematical Physics, Vol. 158, Issue 3 https://doi.org/10.1007/BF02096800	journal	December 1993

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