Bps invariants

Author: yhhd

August undefined, 2024

Webas in [].These notions are properly defined and explained in Sect. 3.This algebra categorifies Donaldson–Thomas theory in the sense that Donaldson–Thomas invariants for the category of $\upzeta $-semistable modules in ${\mathcal {S}}$ are obtained by considering the class in the Grothendieck group of the $\Uplambda _{\upmu }^{\upzeta }$-graded … WebNov 14, 2009 · It is well known that in string compactifications on toric Calabi–Yau manifolds one can introduce refined BPS invariants that carry information not only about the charge of the BPS state but also about the spin content. In this paper we study how these invariants behave under wall crossing. In particular, by applying a refined wall crossing formula, we …

Cohomological Donaldson–Thomas theory of a quiver with …

WebWe define the BPS invariants of Gopakumar-Vafa in the case of irreducible curve classes on Calabi-Yau 3-folds. The main tools are the theory of stable pairs in the derived … WebWhat is a BPS state? Andrew Neitzke July 30, 2016 [Incomplete draft] 1 BPS states We begin with an account of what a \BPS state" is and what it means to \count" them. 1.1 Hilbert space The quantum theories we want to understand are describing phenomena which take ... by the two invariants M2R 0 and j21 2 Z 0. Finally there are the rest of the ... long lake new brighton mn dnr

[1210.4403] The refined BPS index from stable pair invariants

WebSep 24, 2024 · Cobordism invariants from BPS q-series. Many BPS partition functions depend on a choice of additional structure: fluxes, Spin or Spin structures, etc. In a … WebDec 22, 2024 · BPS invariants from. -adic integrals. We define -adic BPS or BPS-invariants for moduli spaces of 1-dimensional sheaves on del Pezzo surfaces by means … long lake morton creek ranch

A framed BPS quiver. Download Scientific Diagram - ResearchGate

WebJan 15, 2024 · This has various deep consequences; in particular, expressing open BPS invariants in terms of motivic Donaldson-Thomas invariants, immediately proves integrality of the former ones. Taking advantage of the relation to quivers we also derive explicit expressions for classical open BPS invariants for an arbitrary strip geometry, which lead … WebJan 3, 2024 · The numerator is determined by modularity up to a finite number of coefficients, which we prove to be fixed uniquely by imposing vanishing conditions on 5d … long lake new brightonWebApr 5, 2014 · Stable pairs and BPS invariants. J. Amer. Math. Soc., 23 (1):267–297, 2010.Google Scholar [46] C. T., Simpson. Higgs bundles and local systems. ... Generating functions of stable pair invariants via wall-crossings in derived categories. In New Developments in Algebraic Geometry, Integrable Systems and Mirror Symmetry (RIMS, … long lake new auburn wi

"WebFeb 10, 2024 · We consider the Witten-Reshetikhin-Turaev invariants or Chern-Simons partition functions at or around roots of unity q = e 2 πi K $$ q={e}^{\\frac{2\\pi i}{K}} $$ … " - Bps invariants

Bps invariants

[2009.11874] Cobordism invariants from BPS q-series

WebMar 6, 2024 · In this talk, we present some recent progress on this cohomology ring, including a minimal set of tautological generators, and a “Perverse = Chern” conjecture … WebApr 10, 2024 · 4/3-006 at CERN. Topological string theory has (spacetime) instanton sectors, which the resurgence theory predicts to be completely controlled by. the perturbative free energy via Stokes transformations. Recent. results also suggest the Stokes constants are related to BPS/DT. invariants. To make this picture concrete, one needs …

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WebJul 29, 2024 · Many BPS partition functions depend on a choice of additional structure: fluxes, Spin or $\hbox {Spin}^c$ structures, etc. In a context where the BPS-generating series depends on a choice of $\hbox {Spin}^c$ structure, we show how different limits with respect to the expansion variable q and different ways of summing over \(\hbox … WebSep 8, 2024 · Invariants of this kind have a long history, notably in Donaldson theory of 4-manifolds, Vafa-Witten invariants, and so on, and are the subject of many conjectures in mathematics and String Theory. It is common to combine the invariants in formal power series — “generating functions” — which may have interesting number-theoretic ...

Web3.4.2 BPS invariants for O(−2,−2) → P1 ×P1 in the large volume limit . 15 3.4.3 The reﬁnement of perturbative CS theory on the Lens space L(2,1) 18 4 Enumerative invariants of Calabi-Yau ... WebNov 25, 2007 · Stable pairs and BPS invariants. We define the BPS invariants of Gopakumar-Vafa in the case of irreducible curve classes on Calabi-Yau 3-folds. The …

WebJan 27, 2024 · The moduli spaces of one-dimensional sheaves on P^2, first studied by Simpson and Le Potier, admit a Hilbert-Chow morphism to a projective base that … WebAbstract. We provide a physical definition of new homological invariants ℋ a ( M 3) of 3-manifolds (possibly, with knots) labeled by abelian flat connections. The physical system …

WebOct 16, 2012 · The refined BPS index from stable pair invariants. Jinwon Choi, Sheldon Katz, Albrecht Klemm. A refinement of the stable pair invariants of Pandharipande and …

WebDec 18, 2024 · Abstract: We regard the work of Maulik and Toda, proposing a sheaf-theoretic approach to Gopakumar-Vafa invariants, as defining a BPS structure, that is, a … hooves and paws apple valley caWebIn Section 3, we start by reviewing the stability of one-dimensional sheaves and give a definition of local BPS invariants in Section 3.1. We prove the blowup property of BPS invariants in Section 3.2. We review the theory of $\delta $ … long lake naples maine fishingWebNov 17, 2024 · In this work we verify consistency of refined topological string theory from several perspectives. First, we advance the method of computing refined open amplitudes by means of geometric transitions. Based on such computations we show that refined open BPS (Bogomol'nyi--Prasad--Sommerfield) invariants are non-negative integers for a … long lake motel and cottages long lake nyWebJan 23, 2024 · Based on the study of BPS states and certain supersymmetric 6-dimensional quantum field theories, [GPV17, GPPV20] formulated a physical definition of homological invariants of 3-manifolds, denoted ... hooves and paws dog parkWebA. Haydys – Introduction to gauge theory. Jacob Rasmussen – Knots, polynomials, and categorification. Jennifer Hom – Lecture notes on Heegaard Floer homology. Laura Schaposnik – Advanced topics in gauge theory: Mathematics and Physics of Higgs bundles. Tomasz Mrowka and Donghao Wang – Gauge theory and a few applications to knot theory. hooves and mouth diseaseWebJul 29, 2024 · Many BPS partition functions depend on a choice of additional structure: fluxes, Spin or $\hbox {Spin}^c$ structures, etc. In a context where the BPS-generating … hooves and paws helotes txWebBPS structures refer to the data of the DT invariants together with their wall-crossing structure. On the same Calabi-Yau geometry another set of invariants are the Gromov-Witten (GW) invariants. These are organized in the GW potential, which is an asymptotic series in a formal parameter and can be obtained from topological string theory. long lake new hampshire