On the algebras of BPS states
Reads0
Chats0
TLDR
In this article, an algebra on the space of perturbative BPS states in toroidal compactification of the heterotic string is defined, which is closely related to a generalized Kac-Moody algebra.Abstract:
We define an algebra on the space of BPS states in theories with extended supersymmetry. We show that the algebra of perturbative BPS states in toroidal compactification of the heterotic string is closely related to a generalized Kac-Moody algebra. We use D-brane theory to compare the formulation of RR-charged BPS algebras in type II compactification with the requirements of string/string duality and find that the RR charged BPS states should be regarded as cohomology classes on moduli spaces of coherent sheaves. The equivalence of the algebra of BPS states in heterotic/IIA dual pairs elucidates certain results and conjectures of Nakajima and Gritsenko & Nikulin, on geometrically defined algebras and furthermore suggests nontrivial generalizations of these algebras. In particular, to any Calabi-Yau 3-fold there are two canonically associated algebras exchanged by mirror symmetry.read more
Citations
More filters
Journal ArticleDOI
No More Walls! A Tale of Modularity, Symmetry, and Wall Crossing for 1/4 BPS Dyons
TL;DR: In this article, the generating functions of 1/4 BPS dyons in a class of 4d $\mathcal{N}=4$ string vacua arising as CHL orbifolds of $K3 \times T^2$ were determined.
Posted Content
On the classification of hyperbolic root systems of the rank three. Part III
TL;DR: In this paper, the authors classified maximal hyperbolic root systems of the rank three having restricted arithmetic type and a generalized lattice Weyl vector, and proved boundedness of families of algebraic surfaces with almost finite polyhedral Mori cone.
Journal ArticleDOI
Quiver Yangians and -algebras for generalized conifolds
TL;DR: In this paper , a coproduct of the quiver Yangian was constructed for most generalized conifolds, and it was shown that the universal enveloping algebras are truncations of the Quiver Yangians and therefore they naturally have truncated crystals as their representations.
Posted Content
Moduli stabilization with non-Abelian fluxes
TL;DR: In this article, the stabilization of moduli in IIB superstring theory on the six-dimensional toroidal orientifold was studied, and background space-filling D9-branes were used to stabilize all the complex structure moduli and some of the K\"ahler moduli.
Journal ArticleDOI
E9 symmetry in the heterotic string on S1 and the weak gravity conjecture
TL;DR: In this paper , it was shown that the heterotic string on a circle exhibits at the boundary of moduli space, or equivalently the decompactification limit $R \to \infty$, a tower of winding or momentum modes that enhance the affine algebras.
References
More filters
Journal ArticleDOI
String theory dynamics in various dimensions
TL;DR: The strong coupling dynamics of string theories in dimension d ⩾ 4 are studied in this paper, where it is argued that eleven-dimensional supergravity arises as a low energy limit of the ten-dimensional Type IIA superstring.
Journal ArticleDOI
Unity of superstring dualities
Chris Hull,Paul K. Townsend +1 more
TL;DR: In this article, it was shown that the effective action for type II string theory compactified on a six-torus is N = 8 supergravity, which is known to have an E7 duality symmetry.
Book
The Geometry of Four-Manifolds
Simon Donaldson,Peter Kronheimer +1 more
TL;DR: In this article, the Fourier transform and ADHM construction of smooth four-manifolds are discussed, as well as the topology and connections of algebraic surfaces with Yang-Mills moduli spaces.
Journal ArticleDOI
Target space duality in string theory
TL;DR: In this paper, target space duality and discrete symmetries in string theory are reviewed in different settings, and the authors present a generalization of the duality to string theory.
Journal ArticleDOI
Consistency of open superstring theories
Joseph Polchinski,Yunhai Cai +1 more
TL;DR: In this paper, it was shown that the anomalies arise from the tadpole of an unphysical field, and cannot be removed by any choice of background, and that the spacetime anomalies are due to a world-sheet superconformal anomaly of topological origin.