Complete intersection Calabi-Yau manifolds

Candelas, Philip; Dale, Anders M.; Lütken, C.A.; Schimmrigk, Rolf

doi:10.1016/0550-3213(88)90352-5

Cited by 370 publications

(799 citation statements)

References 5 publications

Supporting

Mentioning

781

Contrasting

Order By: Relevance

“…We find examples which suggest that many naively distinct heterotic N=2 moduli spaces are in fact connected, in a way which is very analogous to the way the different type II Calabi-Yau compactifications are connected [8] [17]. Moreover as we will argue some N = 2 vacua have dual realizations as both type II and heterotic compactifications.…”

Section: Introductionmentioning

confidence: 92%

Exact results for N=2 compactifications of heterotic strings

Kachru

Vafa

1996

Nuclear Physics B - Proceedings Supplements

201

599

View full text Add to dashboard Cite

We search for N = 2, d = 4 theories which can be realized both as heterotic string compactifications on K 3 × T 2 and as type II string compactifications on Calabi-Yau threefolds. In such cases, the exact non-perturbative superpotential of one string theory is given in terms of tree level computations in the other string theory. In particular we find concrete examples which provide the stringy realization of the results of Seiberg and Witten on N=2 Yang-Mills theory, corrected by gravitational/stringy effects. We also discuss some examples which shed light on how the moduli spaces of different N=2 heterotic vacua are connected.May 1995 † Junior Fellow, Harvard Society of Fellows

show abstract

Section: Introductionmentioning

confidence: 92%

Exact results for N=2 compactifications of heterotic strings

Kachru

Vafa

1996

Nuclear Physics B - Proceedings Supplements

201

599

View full text Add to dashboard Cite

show abstract

“…In this work, we greatly extend our class of bundles and manifolds by generalizing the techniques to Calabi-Yau manifolds obtained as complete intersections in products of (un-weighted) projective spaces. From the 7890 such complete intersection Calabi-Yau manifolds (CICYs) classified in [2][3][4][5][6][7], we consider the 4500 or so "favourable" ones, by which we mean CICYs whose second cohomology entirely descends from the ambient space. In this paper, we focus on the "traditional" class of positive monads, that is, monads defined using strictly positive line bundles only.…”

Section: Introductionmentioning

confidence: 99%

Monad bundles in heterotic string compactifications

Anderson

Lukas

2008

J. High Energy Phys.

106

204

View full text Add to dashboard Cite

In this paper, we study positive monad vector bundles on complete intersection Calabi-Yau manifolds in the context of E 8 × E 8 heterotic string compactifications. We show that the class of such bundles, subject to the heterotic anomaly condition, is finite and consists of about 7000 models. We explain how to compute the complete particle spectrum for these models. In particular, we prove the absence of vector-like family anti-family pairs in all cases. We also verify a set of highly non-trivial necessary conditions for the stability of the bundles. A full stability proof will appear in a companion paper. A scan over all models shows that even a few rudimentary physical constraints reduces the number of viable models drastically.anderson@maths.ox.ac.uk

show abstract

“…The constant of proportionality seems to be universal and has been calculated explicitly for the quintic hypersurface in ~[~4 and other one-moduli cases [14,13] as -i~(3)/(2~-) 3. Im(aij = Im(bi) = 0 is a necessary condition for having a continuous Peccei-Quinn symmetry, t~ ~ tj + a j, a~ real, which is broken by instanton corrections to discrete shifts t z --* t' + 1 as mentioned before.…”

Section: F(t) ~ (Wod(3)wo +~T "Vo~ "O~mentioning

confidence: 99%

“…Since most formulas allow for an incorporation of weights we will state them for the general case. Denote by d~ i) the degree of the 5 Instead of presenting a lengthy list of examples, we distribute the Mathematica program INSTAN-TON which calculates the Yukawa couplings and counts the numbers of rational curves for any complete intersection Calabi-Yau manifold discussed in [3,4] and other examples in singular ambient spaces. It is appended to the hep-th/9406055 version of this paper.…”

Section: Calculation Of the Classical Topological Data Of Cicysmentioning

confidence: 99%

[Experimental nuclear physics]

1992

View full text Add to dashboard Cite

We extend the discussion of mirror symmetry, Picard-Fuchs equations, instanton corrected Yukawa couplings and the topological one-loop partition function to the case of complete intersections with higher dimensional moduli spaces. We will develop a new method of obtaining the instanton corrected Yukawa couplings through a study of the solutions of the Picard-Fuchs equations. This leads to closed formulas for the prepotential for the K~ihler moduli fields induced from the ambient space for all complete intersections in nonsingular weighted projective spaces. As examples we treat part of the moduli space of the phenomenologically interesting three-generation models which are found in this class. We also apply our method to solve the simplest model in which a topology change was observed and discuss examples of complete intersections in singular ambient spaces.

show abstract

Complete intersection Calabi-Yau manifolds

Cited by 370 publications

References 5 publications

Exact results for N=2 compactifications of heterotic strings

Exact results for N=2 compactifications of heterotic strings

Monad bundles in heterotic string compactifications

[Experimental nuclear physics]

Contact Info

Product

Resources

About