Stability and BPS branes

By Michael R Douglas, B. Fiol, Christian Romelsberger. 2000

235 citations recorded by the source corpus.

We define the concept of Π-stability, a generalization of μ-stability of vector bundles, and argue that it characterizes = 1 supersymmetric brane configurations and BPS states in very general string theory compactifications with = 2 supersymmetry in four dimensions.

Subfields: Geometry and Topology, Mathematical Physics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/30ea59e82c2dbc4b35b8b5dd5e836f35c35dacb1

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Citations in the corpus

$\mathcal{N} = 2$ quantum field theories and their BPS quivers (2011, background): “16) reduces to the D-term equations of motion presented earlier [25,54].”
Split attractor flows and the spectrum of BPS D-branes on the quintic (2001, background): “A partial list of references is [1, 2, 3, 4, 5, 6, 7 , 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22].”
Dirichlet Branes and Mirror Symmetry (2009, background): “Following [138, 137, 149, 133, 18], one can explore to what extent Definition 5.”
D-brane Deconstructions in IIB Orientifolds (2008, background): “Mathematically, these correspond to stability conditions, most generally to Π-stability [128, 58, 129].”
The Spectrum of $BPS$ Branes on a Noncompact Calabi-Yau (2000, methodology): “As explained in [19], an object with charge n will decay into products including a subobject of charge n′ on the line ζ · n′ e · n′ = ζ · n e · n (5.”
A Geometric unification of dualities (2001, result): “This relation has also been noted in [60,57].”
Computing Yukawa couplings from magnetized extra dimensions (2004, unknown): “These and other considerations led to a modification to the concept of μ-stability, namely the Π-stability proposed in [48].”
Quantum quivers and Hall / hole halos (2002, methodology): “Using the quiver description of the wrapped Dbranes [8, 9 , 10, 11, 12, 13, 14] (in regimes where this description is valid), it becomes even possible to follow in detail the transition from one picture to the other.”
Mirror Symmetric SU(3)-Structure Manifolds with NS Fluxes (2003, methodology): “For example, the even periods and the D–brane charge can be written using e , and its exchange with Ω was used in mapping [5] stringy–corrected DUY equations [6] to the special lagrangian condition; e was also used in formulating the concept of Π–stability [7].”
Precision Counting of Small Black Holes (2005, methodology): “controlling the fixed point behavior of the K¨ahler moduli at the horizon follow naturally from this procedure [ 14 ].”
Split states, entropy enigmas, holes and halos (2007, background): “In the IIA picture, the problem is that α′ corrections to the D-term constraints determining the moduli space (in particular determining Π-stability [84, 66]) become manifestly of crucial importance, since they are responsible for the elimination of the “extra” states corresponding to multicentered ”
Electric-Magnetic Duality And The Geometric Langlands Program (2006, methodology): “In this sigma-model, B is represented by a Chan-Paton bundle U (or possibly a more general sheaf or complex of sheaves [103,104]) over the target space MH .”
D-branes, categories and N=1 supersymmetry (2000, methodology): “of [ 18 ,19], by combining physical input, notably the theory of boundary conditions in (2,2)”