Residues and world sheet instantons

By C. Beasley, E. Witten. 2003

144 citations recorded by the source corpus.

We reconsider the question of which Calabi-Yau compactifications of the heterotic string are stable under world-sheet instanton corrections to the effective space-time superpotential. For instance, compactifications described by (0,2) linear sigma models are believed to be stable, suggesting a remarkable cancellation among the instanton effects in these theories. Here, we show that this cancellation follows directly from a residue theorem, whose proof relies only upon the right-moving world-sheet supersymmetries and suitable compactness properties of the (0,2) linear sigma model. Our residue theorem also extends to a new class of ``half-linear'' sigma models. Using these half-linear models, we show that heterotic compactifications on the quintic hypersurface in CP4 for which the gauge bundle pulls back from a bundle on CP4 are stable. Finally, we apply similar ideas to compute the superpotential contributions from families of membrane instantons in M-theory compactifications on manifolds of G2 holonomy.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/64aed56360aff6fa43091f80628770c1ea04b932

How researchers see this paper

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

In Astronomy and Astrophysics

1. Ralph Blumenhagen
2. T. Weigand
3. M. Cvetič
4. G. Honecker
5. Song He
6. F. Cachazo
7. E. Y. Yuan
8. D. Lust

In Nuclear and High Energy Physics

1. Ralph Blumenhagen
2. T. Weigand
3. M. Cvetič
4. Song He
5. F. Cachazo
6. G. Honecker
7. E. Y. Yuan
8. Thomas W. Grimm

Citations in the corpus

• Loop-corrected compactifications of the heterotic string with line bundles (2005, background): “This would be interesting, as it is by now well established that such models are not destabilized by world-sheet instantons [60–62].”
• Four-dimensional string compactifications with D-branes, orientifolds and fluxes (2006, unknown): “For heterotic compactifications, described by (0, 2) supersymmetric world sheet linear sigma-models no superpotential is generated for neutral scalars by world-sheet instantons [302, 303, 304].”
• Scattering of massless particles: scalars, gluons and gravitons (2013, methodology): “A possible solution may be similar to the method proposed in [22].”
• Spacetime instanton corrections in 4D string vacua: The Seesaw mechanism for D-Brane models (2006, background): “It is important to see whether the heterotic instanton sum rules of [46] can be generalised to D-brane models, thus ensuring that they are not destabilised by instantons.”
• Two-dimensional models with (0,2) supersymmetry: perturbative aspects (2005, unknown): “conformal invariance (for example, see [2-5]).”