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Quantization of DonaldsonUhlenbeckYau theory
, 705
"... A covariant pathintegral quantization is proposed for the nonLagrangian gauge theory described by the DonaldsonUhlenbeckYau equation. The corresponding partition function is shown to admit a nice pathintegral representation in terms of the gauged G/G Kähler WZW model. A relationship with the J ..."
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Cited by 4 (3 self)
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A covariant pathintegral quantization is proposed for the nonLagrangian gauge theory described by the DonaldsonUhlenbeckYau equation. The corresponding partition function is shown to admit a nice pathintegral representation in terms of the gauged G/G Kähler WZW model. A relationship with the J
Supersymmetry and gauge theory on CalabiYau 3folds
, 1997
"... We consider the dimensional reduction of supersymmetric Yang–Mills on a Calabi–Yau 3fold. We show by construction how the resulting cohomological theory is related to the balanced field theory of the Kähler Yang–Mills equations introduced by Donaldson and Uhlenbeck–Yau. ..."
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Cited by 7 (4 self)
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We consider the dimensional reduction of supersymmetric Yang–Mills on a Calabi–Yau 3fold. We show by construction how the resulting cohomological theory is related to the balanced field theory of the Kähler Yang–Mills equations introduced by Donaldson and Uhlenbeck–Yau.
A Simple Proof of a Theorem by Uhlenbeck and Yau
, 2003
"... Abstract. A subbundle of a Hermitian vector bundle (E, h) can be metrically and differentiably defined by the orthogonal projection onto this subbundle. A weakly holomorphic subbundle of a Hermitian holomorphic bundle is, by definition, an orthogonal projection π lying in the Sobolev space L 2 1 of ..."
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in the complement of an analytic set of codimension ≥ 2. This result was the crucial technical argument in Uhlenbeck’s and Yau’s proof of the KobayashiHitchin correspondence on compact Kähler manifolds. We give here a much simpler proof based on current theory. The idea is to construct local meromorphic sections
Heterotic gut and standard model vacua from simply connected calabiyau manifolds
, 2006
"... We consider fourdimensional supersymmetric compactifications of the E8× E8 heterotic string on CalabiYau manifolds endowed with vector bundles with structure group SU(N) × U(1) and fivebranes. After evaluating the GreenSchwarz mechanism and deriving the generalized DonaldsonUhlenbeckYau condi ..."
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Cited by 61 (3 self)
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We consider fourdimensional supersymmetric compactifications of the E8× E8 heterotic string on CalabiYau manifolds endowed with vector bundles with structure group SU(N) × U(1) and fivebranes. After evaluating the GreenSchwarz mechanism and deriving the generalized DonaldsonUhlenbeckYau
CALABIYAU VARIETIES WITH FIBRE STRUCTURES I.
, 2005
"... Abstract. Motivated by the StromingerYauZaslow conjecture, we study fibre spaces whose total space has trivial canonical bundle. Especially, we are interest in CalabiYau varieties with fibre structures. In this paper, we only consider semistable families. We use Hodge theory and the generalized ..."
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DonaldsonSimpsonUhlenbeckYau correspondence to study the parabolic structure of higher direct images over higher dimensional quasiprojective base, and obtain some results on parabolicsemipositivity. We then apply these results to study nonisotrivial CalabiYau varieties fibred by Abelian varieties (or
INSTANTONS AND FRAMED SHEAVES ON KÄHLER
"... Abstract. We provide stacky generalizations of classical gaugetheoretic results inspired by Donaldson, the UhlenbeckYau theorem and variants due to Bando and his collaborators. Moreover, we show an application of this machinery in the study of ALE spaces. Contents ..."
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Abstract. We provide stacky generalizations of classical gaugetheoretic results inspired by Donaldson, the UhlenbeckYau theorem and variants due to Bando and his collaborators. Moreover, we show an application of this machinery in the study of ALE spaces. Contents
Loopcorrected compactifications of the heterotic string with line bundles
, 2005
"... We consider the E8×E8 heterotic string theory compactified on CalabiYau manifolds with bundles containing abelian factors in their structure group. Generic low energy consequences such as the generalised GreenSchwarz mechanism for the multiple anomalous abelian gauge groups are studied. We also co ..."
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Cited by 84 (16 self)
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compute the holomorphic gauge couplings and induced FayetIliopoulos terms up to oneloop order, where the latter are interpreted as stringy oneloop corrections to the DonaldsonUhlenbeckYau condition. Such models generically have frozen combinations of Kähler and dilaton moduli. We study concrete
The uniqueness of the Abelian BornInfeld action
 Nucl. Phys. B
, 2001
"... Starting from BPS solutions to YangMills which define a stable holomorphic vector bundle, we investigate its deformations. Assuming slowly varying fieldstrengths, we find in the abelian case a unique deformation given by the abelian BornInfeld action. We obtain the deformed DonaldsonUhlenbeckYau ..."
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Cited by 6 (4 self)
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Starting from BPS solutions to YangMills which define a stable holomorphic vector bundle, we investigate its deformations. Assuming slowly varying fieldstrengths, we find in the abelian case a unique deformation given by the abelian BornInfeld action. We obtain the deformed DonaldsonUhlenbeckYau
Special metrics in Complex Geometry
"... In the first part of my talk, we consider special metrics on holomorphic bundles. We will recall the classical HitchinKobayashi correspondence (DonaldsonUhlenbeckYau theory) of stability and HermitianEinstein metrics on holomorphic vector bundles; and some generalizations of the classical Hit ..."
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In the first part of my talk, we consider special metrics on holomorphic bundles. We will recall the classical HitchinKobayashi correspondence (DonaldsonUhlenbeckYau theory) of stability and HermitianEinstein metrics on holomorphic vector bundles; and some generalizations of the classical
Higherdimensional WZW model on Kähler manifold and toroidal Lie algebra
, 1997
"... We construct a generalization of the twodimensional WessZuminoWitten model on a 2ndimensional Kähler manifold as a groupvalued nonlinear sigma model with an anomaly term containing the Kähler form. The model is shown to have an infinitedimensional symmetry which generates an ntoroidal Lie alg ..."
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Cited by 11 (0 self)
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algebra. The classical equation of motion turns out to be the DonaldsonUhlenbeckYau equation, which is a 2ndimensional There has recently been a renewed interest in field theories and supergravity theories in diverse dimensions. They are believed to play the role of effective field theories
Results 1  10
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