A generalized construction of mirror manifolds

Berglund, Per; Hübsch, Tristan

doi:10.1016/0550-3213(93)90250-s

Cited by 214 publications

(342 citation statements)

References 31 publications

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“…5 It would be interesting to study the more general modular invariants of type D and/or type E for the compact factors. 6 The theory we start out with obeys the charge relation r =r. Since β0 · βi ∈ Z Z, we still have the relation e 2πi(Q+Q)/2 = e 2πiQ after the (Z Z p+q 2 ) orbifold.…”

Section: Integer R-charge Orbifoldmentioning

confidence: 99%

“…An NS-sector state |φ satisfies the equations G + −l−1/2 |φ = 0 = G − l+1/2 |φ if and only if its conformal dimension h and R-charge Q satisfy the relation h = (l+1/2)Q−c(l 2 +l)/6 [19]. 6. A chiral ring exists [37].…”

Section: The Consequences Of Unitaritymentioning

confidence: 99%

“…We first note that β 0 · β i is an integer, such that the action of the orbifold on β i twisted sectors is identical to the action on β i untwisted sectors. The order of the 2β 0 orbifold is therefore the order of the operator e 2πiQ in the untwisted theory (where Q is the total left-moving R-charge in light-cone gauge) 6 . The order of that orbifold is the smallest common divisor d of all the levels in the theory (including the fermionic level 2 when p + q is even and not when p + q is odd).…”

Section: Integer R-charge Orbifoldmentioning

confidence: 99%

“…It gives rise to a natural picture of mirror symmetry in conformal field theories, that is strongly reminiscent of its compact counterpart [3,12]. We will discuss this point in section 6.…”

Section: Introductionmentioning

confidence: 99%

“…This was explored in more detail in [5] which contained the first mathematical predictions from mirror symmetry. Many generalizations were found using the Landau-Ginzburg formulation that were applicable in non-geometric regimes [6].…”

Section: Introductionmentioning

confidence: 99%

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Non-compact Gepner models, Landau-Ginzburg orbifolds and mirror symmetry

Ashok

Benichou

Troost

2008

J. High Energy Phys.

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We study non-compact Gepner models that preserve sixteen or eight supercharges in type II string theories. In particular, we develop an orbifolded Landau-Ginzburg description of these models analogous to the Landau-Ginzburg formulation of compact Gepner models. The Landau-Ginzburg description provides an easy and direct access to the geometry of the singularity associated to the non-compact Gepner models. Using these tools, we are able to give an intuitive account of the chiral rings of the models, and of the massless moduli in particular. By studying orbifolds of the singular linear dilaton models, we describe mirror pairs of non-compact Gepner models by suitably adapting the Greene-Plesser construction of mirror pairs for the compact case. For particular models, we take a large level, low curvature limit in which we can analyze corrections to a flat space orbifold approximation of the non-compact Gepner models. This gives rise to a counting of moduli which differs from the toric counting in a subtle way.

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Section: Integer R-charge Orbifoldmentioning

confidence: 99%

Section: The Consequences Of Unitaritymentioning

confidence: 99%

Section: Integer R-charge Orbifoldmentioning

confidence: 99%

“…It gives rise to a natural picture of mirror symmetry in conformal field theories, that is strongly reminiscent of its compact counterpart [3,12]. We will discuss this point in section 6.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations