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247
Fivebranes, Membranes And NonPerturbative String Theory
, 1995
"... Nonperturbative instanton corrections to the moduli space geometry of type IIA string theory compactified on a CalabiYau space are derived and found to contain order e \Gamma1=g s contributions, where g s is the string coupling. The computation reduces to a weighted sum of supersymmetric extrema ..."
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Cited by 387 (6 self)
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Nonperturbative instanton corrections to the moduli space geometry of type IIA string theory compactified on a CalabiYau space are derived and found to contain order e \Gamma1=g s contributions, where g s is the string coupling. The computation reduces to a weighted sum of supersymmetric
Geometry of the theta divisor of a compactified Jacobian
 Preprint Math AG/07074602
"... Abstract. The object of this paper is the theta divisor of the compactified Jacobian of a nodal curve. We determine its irreducible components and give it a geometric interpretation. A characterization of hyperelliptic irreducible stable curves is appended as an application. ..."
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Cited by 11 (4 self)
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Abstract. The object of this paper is the theta divisor of the compactified Jacobian of a nodal curve. We determine its irreducible components and give it a geometric interpretation. A characterization of hyperelliptic irreducible stable curves is appended as an application.
On Conformally Compactified Phase Space
, 2008
"... Conformally compactified phase space is conceived as an automorphism space for the global action of the extended conformal group. Space time and momentum space appear then as conformally dual, that is conjugate with respect to conformal reflections. If now the former, as generally agreed, is appropr ..."
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Conformally compactified phase space is conceived as an automorphism space for the global action of the extended conformal group. Space time and momentum space appear then as conformally dual, that is conjugate with respect to conformal reflections. If now the former, as generally agreed
Seibergwitten theory and random partitions
"... We study N = 2 supersymmetric four dimensional gauge theories, in a certain N = 2 supergravity background, called Ωbackground. The partition function of the theory in the Ωbackground can be calculated explicitly. We investigate various representations for this partition function: a statistical sum ..."
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Cited by 267 (9 self)
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sum over random partitions, a partition function of the ensemble of random curves, a free fermion correlator. These representations allow to derive rigorously the SeibergWitten geometry, the curves, the differentials, and the prepotential. We study pure N = 2 theory, as well as the theory with matter
Quantum effects of compactified AdS5 geometry on the higgs potential
, 2000
"... In this paper we determine the one loop radiative correction to the higgs potential due to quantum fluctuations about the background metric of RandallSundrum model. We then examine the effects of the one loop effective potential on the stability of the classical vacuum paying particular attention t ..."
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In this paper we determine the one loop radiative correction to the higgs potential due to quantum fluctuations about the background metric of RandallSundrum model. We then examine the effects of the one loop effective potential on the stability of the classical vacuum paying particular attention to the tadpole terms which could dominate over the classical potential for small field configurations. We find that although the one loop potential due to scale fluctuations could develop a tadpole term in certain regions of the parameter space, it is positive for either sign of H. The quadratic and quartic terms in the radiative correction are too small to cause any instability to the classical vacuum for field configurations that do not violate the limits of ordinary perturbation theory. 1
A new approach to compactifying locally symmetric varieties
 In Proc. International Colloquium on Discrete Subgroup of Lie Groups
, 1975
"... SUPPOSE D IS a bounded symmetric domain and I ' c Aut (D) is a discrete group of arithmetic type. Then Borel and Baily [2] have shown that DIP can be canonically embedded as a Zariskiopen subset in a projective variety Dir. However, Igusa [6] and others have found that the singularities of D/F ..."
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Cited by 7 (0 self)
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/F are extraordinarily complicated and this presents a significant obstacle to using algebraic geometry on D/P in order to derive information on automorphic forms on D, etc. Igusa [7] for D = E2 and 9N, (En = Siegel's n x n upper halfspace) and F commensurable with Sp(2n, Z), and Hirzebruch [4] for D = SJJ21 x Ei
Topological Background Fields as Quantum Degrees of Freedom of Compactified Strings
, 2006
"... It is shown that background fields of a topological character usually introduced as such in compactified string theories correspond to quantum degrees of freedom which parametrise the freedom in choosing a representation of the zero mode quantum algebra in the presence of nontrivial topology. One c ..."
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Cited by 2 (0 self)
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consequence would appear to be that the values of such quantum degrees of freedom, in other words of the associated topological background fields, cannot The study of string theories compactified onto a large variety of spaces with different topologies and geometries has produced profound insights
Compactified Little String Theories and Compact Moduli Spaces of Vacua
, 1999
"... It is emphasized that compactified little string theories have compact moduli spaces of vacua, which globally probe compact string geometry. Compactifying various little string theories on T 3 leads to 3d theories with exact, quantum Coulomb branch given by: an arbitrary T 4 of volume M2 s, an arbit ..."
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Cited by 2 (0 self)
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It is emphasized that compactified little string theories have compact moduli spaces of vacua, which globally probe compact string geometry. Compactifying various little string theories on T 3 leads to 3d theories with exact, quantum Coulomb branch given by: an arbitrary T 4 of volume M2 s
1 Dilaton Stabilization in (A)dS Spacetime with Compactified Dimensions
, 2003
"... We investigate dilaton stabilization in a higherdimensional theory. The background geometry is based on an elevendimensional KaluzaKlein/supergravity model, which is assumed to be a product of fourdimensional de Sitter (dS4) spacetime and a seven sphere (S 7). The dilaton potential has a local m ..."
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Cited by 3 (3 self)
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We investigate dilaton stabilization in a higherdimensional theory. The background geometry is based on an elevendimensional KaluzaKlein/supergravity model, which is assumed to be a product of fourdimensional de Sitter (dS4) spacetime and a seven sphere (S 7). The dilaton potential has a local
Results 1  10
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247