CALT - 2017 - 040 ar X iv : 1 70 7 . 04 01 7 v 1 [ he p - th ] 1 3 Ju l 2 01 7
نویسندگان
چکیده
We introduce and explore the relation between knot invariants and quiver representation theory, which follows from the identification of quiver quantum mechanics in D-brane systems representing knots. We identify various structural properties of quivers associated to knots, and identify such quivers explicitly in many examples, including some infinite families of knots, all knots up to 6 crossings, and some knots with thick homology. Moreover, based on these properties, we derive previously unknown expressions for colored HOMFLY-PT polynomials and superpolynomials for various knots. For all knots, for which we identify the corresponding quivers, the LMOV conjecture for all symmetric representations (i.e. integrality of relevant BPS numbers) is automatically proved. CALT-2017-040 ar X iv :1 70 7. 04 01 7v 1 [ he pth ] 1 3 Ju l 2 01 7
منابع مشابه
On the Chiral Ring and Vacua of N = 1 Adjoint SQCD
We analyze classical and quantum chiral ring relations of four dimensional N = 1 adjoint SQCD with superpotential turned on for the adjoint field. In particular, for the mass deformed theory we obtain the complete on shell vacuum expectation value for various gauge invariant chiral operators and find non-trivial gaugino condensations. When approaching to massless limit nontrivial flat direction...
متن کاملCALT-TH 2016-040 Bootstrapping the Spectral Function: On the Uniqueness of Liouville and the Universality of BTZ
We introduce spectral functions that capture the distribution of OPE coefficients and density of states in two-dimensional conformal field theories, and show that nontrivial upper and lower bounds on the spectral function can be obtained from semidefinite programming. We find substantial numerical evidence indicating that OPEs involving only scalar Virasoro primaries in a c > 1 CFT are necessar...
متن کاملar X iv : 1 70 4 . 04 56 2 v 1 [ he p - ph ] 1 5 A pr 2 01 7 Nucleon resonances in γp →
A. C. Wang, W. L. Wang, 3 F. Huang, ∗ H. Haberzettl, and K. Nakayama School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 101408, China School of Physics and Nuclear Energy Engineering, Beihang University, Beijing 100191, China Department of Physics and Astronomy, University of Georgia, Athens, Georgia 30602, USA Institute for Nuclear Studies and Department of Physics...
متن کاملar X iv : 1 70 7 . 03 21 8 v 1 [ m at h . C O ] 1 1 Ju l 2 01 7 CONTENT AND SINGLETONS BRING UNIQUE IDENTIFICATION
A new class of functions with a unique identification minor is introduced: functions determined by content and singletons. Relationships between this class with other known classes of functions with a unique identification minor are investigated. Some properties of functions determined by content and singletons are established, especially concerning invariance groups and similarity.
متن کاملar X iv : 0 70 7 . 40 06 v 1 [ he p - th ] 2 6 Ju l 2 00 7 Two - loop Gell - Mann – Low function of N = 1 supersymmetric
Two-loop Gell-Mann–Low function of N=1 supersymmetric Yang-Mills theory, regularized by higher covariant derivatives. Abstract Two-loop Gell-Mann–Low function is calculated for N=1 supersymmetric Yang– Mills theory, regularized by higher covariant derivatives. The integrals, which define it, are shown to be reduced to total derivatives and can be easily calculated analytically .
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2017