Bps invariants
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 … 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 ...
Bps invariants
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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 … 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 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 … 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 …
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 … 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 …
WebMar 14, 2024 · Several mathematical theories in geometry are interpreted as counting BPS-states in the sense of integration on appropriate compactification of the moduli space of BPS-states in a related physical model attached to the underlying geometry: most notably the Gromov-Witten invariants, Donaldson-Thomas invariants and the Thomas …
WebSep 9, 2024 · The Gopakumar–Vafa conjecture asserts that if one defines the BPS invariants indirectly through this procedure, then they satisfy an integrality and a (genus) finiteness condition. The integrality conjecture has been resolved by Ionel and Parker. A key innovation of their proof is the introduction of the cluster formalism: an ingenious device ... dead by daylight black screen on startupWebIn 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 $ … gem show virginia 2022WebFrom this prospective, the so called BPS invariants for these moduli spaces have an interpretation in terms of curve counting on the CY3. This in turn imply that certain … dead by daylight birthdayWebTopological 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 to first solve the instanton … dead by daylight biohazardWebSep 22, 2011 · BPS invariants are computed, capturing topological invariants of moduli spaces of semi-stable sheaves on rational surfaces. For a suitable stability condition, it is … dead by daylight black screenWebOct 25, 2024 · Known results on these BPS spectra are correctly reproduced by computing new types of BPS invariants of 3d-5d BPS states, encoded by nonabelianization, through their wall-crossing. We also develop the notion of exponential BPS graphs for the simplest toric examples, and show that they encode both the quiver and the potential associated … dead by daylight black screen launchWebNov 13, 2024 · Title: Perverse filtrations, Chern filtrations, and refined BPS invariants for local $\mathbb{P}^2$ Authors: Yakov Kononov , Weite Pi , Junliang Shen Download a … gem show west palm beach