Stringy cosmic strings and noncompact Calabi-Yau manifolds

Greene, Brian; Shapere, Alfred D.; Vafa, Cumrun; Yau, Shing–Tung

doi:10.1016/0550-3213(90)90248-c

Cited by 455 publications

(920 citation statements)

References 43 publications

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“…(The explicit factors of (z−z (n) i∞ ) −1/12 cancel out the zeroes of the Dedekind eta function at these points). These solutions were first constructed in [24] as "stringy cosmic strings," before the invention of D-branes, and they were later interpreted as D7-brane solutions by [25]. A recent analysis is given in [26], whose notation we follow.…”

Section: Review Of 1/2-bps Seven-brane Solutionsmentioning

confidence: 99%

Localized modes at a D-brane—O-plane intersection and heterotic Alice strings

Harvey

Royston

2008

J. High Energy Phys.

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We study a system of N c D3-branes intersecting D7-branes and O7-planes in 1 + 1-dimensions. We use anomaly cancellation and string dualities to argue that there must be chiral fermion zero-modes on the D3-branes which are localized near the O7-planes. Away from the orientifold limit we verify this by using index theory as well as explicit construction of the zero-modes. This system is related to F-theory on K3 and heterotic matrix string theory, and the heterotic strings are related to Alice string defects in N = 4 Super-Yang-Mills. In the limit of large N c we find an AdS 3 dual of the heterotic matrix string CFT.

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Section: Review Of 1/2-bps Seven-brane Solutionsmentioning

confidence: 99%

Localized modes at a D-brane—O-plane intersection and heterotic Alice strings

Harvey

Royston

2008

J. High Energy Phys.

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“…Then, the warp factor becomes one, h = 1, and we recover the D7 brane solution in the so-called weak-coupling approximation. Here the complete D7 brane dilaton profile [104] (shown as a dashed curve in fig. 13a) is approximated by the logarithmic profile (4.5) (solid curve in fig.…”

Section: The D3/d7 Supergravity Solutionmentioning

confidence: 99%

Mesons in gauge/gravity duals

et al. 2008

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Abstract. We review recent progress in studying mesons within gauge/gravity duality, in the context of adding flavour degrees of freedom to generalizations of the AdS/CFT correspondence. Our main focus is on the "top-down approach" of considering models constructed within string theory. We explain the stringtheoretical constructions in detail, aiming at non-specialists. These give rise to a new way of describing strongly coupled confining large-N gauge theories similar to large-N QCD. In particular, we consider gravity dual descriptions of spontaneous chiral symmetry breaking, and compare with lattice results. A further topic covered is the behaviour of flavour bound states in finite-temperature field theories dual to a gravity background involving a black hole. We also describe the "bottom up" phenomenological approach to mesons within AdS/QCD. Some previously unpublished results are also included.PACS. 11.15.-q Gauge field theories -11.25.Tq Gauge/string duality -12.40.Yx Hadron mass models and calculations -14.40.-n Mesons

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“…One can show that membranes constructed in this manner have representatives which are holomorphic two-cycles in T , albeit with respect to a different complex structure than the usual one compatible with the elliptic fibration. The class of such membranes lies in the relative homology H 2 (T /F, Z) and will be denoted by v. If T = K3, then [25] the self-intersection number of any class v containing a holomorphic two-cycle is given by…”

Section: Kodaira Type Imentioning

confidence: 99%

Five-brane BPS states in heterotic M-theory

Grassi

Guralnik

Ovrut

2001

J. High Energy Phys.

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We present explicit methods for computing the discriminant curves and the associated Kodaira type fiber degeneracies of elliptically fibered Calabi-Yau threefolds.These methods are applied to a specific three-family, SU (5) grand unified theory of particle physics within the context of Heterotic M-Theory. It is demonstrated that there is always a region of moduli space where a bulk space five-brane is wrapped on a pure fiber in the Calabi-Yau threefold. Restricting the discussion to the smooth parts of the discriminant curve, we explore the properties of the N = 2 BPS supermultiplets that arise on the worldvolume of this five-brane due to the degeneration of the elliptic fiber. The associated degenerating M membranes are shown to project to string junctions in the base space. We use string junction techniques to explicitly compute the light BPS hyper-and vector multiplet spectrum for each Kodaira type fiber near the smooth part of the discriminant curve in the SU (5) GUT theory.

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Stringy cosmic strings and noncompact Calabi-Yau manifolds

Cited by 455 publications

References 43 publications

Localized modes at a D-brane—O-plane intersection and heterotic Alice strings

Localized modes at a D-brane—O-plane intersection and heterotic Alice strings

Mesons in gauge/gravity duals

Five-brane BPS states in heterotic M-theory

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