Triples, Fluxes, and Strings

By J. Boer, R. Dijkgraaf, K. Hori, A. Keurentjes, J. Morgan, D. Morrison, S. Sethi. 2001

236 citations recorded by the source corpus.

We study string compactications with sixteen supersymmetries. The moduli space for these compactications becomes quite intricate in lower dimensions, partly because there are many dierent irreducible components. We focus primarily, but not exclusively, on compactications to seven or more dimensions. These vacua can be realized in a number ways: the perturbative constructions we study include toroidal compactications of the heterotic/type I strings, asymmetric orbifolds, and orientifolds. In addition, we describe less conventional M and F theory compactications on smooth spaces. The last class of vacua considered are compactications on singular spaces with non-trivial discrete fluxes. We nd a number of new components in the string moduli space. Contained in some of these components are M theory compactications with novel kinds of \frozen" singularities. We are naturally led to conjecture the existence of new dualities relating spaces with dierent singular geometries and fluxes. As our study of these vacua unfolds, we also learn about additional topics including: F theory on spaces without section, automorphisms of del Pezzo surfaces, and novel physics (and puzzles) from equivariant K-theory. Lastly, we comment on how the data we gain about the M theory three-form might be interpreted.

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

View Paper: https://www.semanticscholar.org/paper/74dbe36c11c1be1db7d284b921608a782debc157

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

In Mathematical Physics

In Nuclear and High Energy Physics

Citations in the corpus

6d Conformal matter (2014, background): “One subtlety, however, is that the labels which correspond to trivial gauge group are different from [16].”
Compactification with Flux on K3 and Tori (2003, background): “Introduction Compactifications of String Theory in the presence of flux have attracted considerable attention lately [1–27].”
Flux compactifications of string theory on twisted tori (2005, unknown): “Email: c.hull@imperial.ac.uk, r.reid-edwards@imperial.ac.uk”
Supergravity microstates for BPS black holes and black rings (2005, background): “then the dual circle will be non-trivially fibered so that there is no longer an orbifold point. For similar ideas see [ 26 , 27]”
M-Theory Dynamics On A Manifold Of G_2 Holonomy (2001, methodology): “According to [21], for the M -theory singularity associated with a commuting triple, the Chern-Simons invariant has the following interpretation.”
Classifying bases for 6D F-theory models (2012, background): “…G whose component group π0(G) coincides with the Tate–Shafarevich group XX/B of the fibration [29], whose fundamental group π1(G) coincides with the Mordell–Weil group MW(X/B) of the fibration [30], and whose Lie algebra g has a non-abelian part that is determined by the singular fibers in…”
Nongeometric flux compactifications (2005, background): “This is presumably how the K-theory description of R-R charges [37] continues to be valid in the case with geometrical fluxes (possibly related considerations appeared in [38]).”
Fractional M2-branes (2008, background): “The geometry described above has a Z4k torsion 3-cycle; generally, the discrete torsion in M theory when we divide by a discrete group with |Γ| elements is Z|Γ| [31].”
Top down approach to 6D SCFTs (2018, background): “Some examples of this type have been referred to as “frozen singularities” in the context of M-theory and F-theory compactification (see [113–115]) and amount to singular geometries in the presence of a discrete (torsional) flux.”