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Summing the Instantons in Half-Twisted Linear Sigma Models · Around

2008

Summing the Instantons in Half-Twisted Linear Sigma Models

McOrist, Jock, Melnikov, Ilarion V.

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We study half-twisted linear sigma models relevant to (0,2) compactifications of the heterotic string.

Focusing on theories with a (2,2) locus, we examine the linear model parameter space and the dependence of genus zero half-twisted correlators on these parameters.
We show that in a class of theories the correlators and parameters separate into A and B types, present techniques to compute the dependence, and apply these to some examples.
These results should bear on the mathematics of (0,2) mirror symmetry and the physics of the moduli space and Yukawa couplings in heterotic compactifications.

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Similar

P. S. Aspinwall, B. R. Greene, and D. R. Morrison, “Calabi-Yau moduli space, mirror manifolds and spacetime topology change in string theory,” Nucl. Phys. B416
1994
Cited alongside, same era.
E. Silverstein and E. Witten, “Global U(1) R symmetry and conformal invariance of (0,2) models,” Phys. Lett
1994
Cited alongside, same era.
E. Silverstein and E. Witten, “Criteria for conformal invariance of (0,2) models,” Nucl. Phys. B444
1995
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D. R. Morrison and M. Ronen Plesser, “Summing the instantons: Quantum cohomology and mirror symmetry in toric varieties,” Nucl. Phys. B440
1995
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S. Hosono, A. Klemm, S. Theisen, and S.-T. Yau, “Mirror symmetry, mirror map and applications to Calabi-Yau hypersurfaces,” Commun. Math. Phys. 167
1995
Cited alongside, same era.

Then

B. Noyvert, “Sigma models on Calabi-Yau complete intersections in toric varieties.” M.Sc. Thesis, Weizmann Institute, May, 1997
1997
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D. A. Cox and S. Katz, “Mirror symmetry and algebraic geometry,”. Providence, USA: AMS (2000) 469 p
2000
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A. Basu and S. Sethi, “World-sheet stability of (0,2) linear sigma models,” Phys. Rev
2003
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C. Beasley and E. Witten, “Residues and world-sheet instantons,” JHEP
2003
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A. Adams, A. Basu, and S. Sethi, “(0,2) duality,” Adv. Theor. Math. Phys
2004
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A. Adams, J. Distler, and M. Ernebjerg, “Topological heterotic rings,” Adv. Theor. Math. Phys

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