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83
The Sen conjecture for fundamental monopoles of distinct types
, 1996
"... I exhibit a middledimensional square integrable harmonic form on the moduli space of distinct fundamental BPS monopoles of an arbitrary Lie group. This is in accord with Sen’s Sduality conjecture. I also show that the moduli space has no closed or bound geodesics I. ..."
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Cited by 21 (0 self)
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I exhibit a middledimensional square integrable harmonic form on the moduli space of distinct fundamental BPS monopoles of an arbitrary Lie group. This is in accord with Sen’s Sduality conjecture. I also show that the moduli space has no closed or bound geodesics I.
Dbranes, tachyons, and string field theory
, 2003
"... In these notes we provide a pedagogical introduction to the subject of tachyon condensation in Witten’s cubic bosonic open string field theory. We use both the lowenergy YangMills description and the language of string field theory to explain the problem of tachyon condensation on unstable Dbra ..."
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Cited by 76 (4 self)
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branes. We give a selfcontained introduction to open string field theory using both conformal field theory and overlap integrals. Our main subjects are the Sen conjectures on tachyon condensation in open string field theory and the evidence that supports these conjectures. We conclude with a discussion
FOUR DIMENSIONAL STRING/STRING/STRING Triality
, 1995
"... In six spacetime dimensions, the heterotic string is dual to a Type IIA string. On further toroidal compactification to four spacetime dimensions, the heterotic string acquires an SL(2, Z)S strong/weak coupling duality and an SL(2, Z)T × SL(2, Z)U target space duality acting on the dilaton/axion, co ..."
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Cited by 135 (21 self)
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a (postcompactification) justification for this conjecture. We interpret the N = 4 Bogomol’nyi spectrum from all three points of view. In particular we generalize the SenSchwarz formula for short multiplets to include intermediate multiplets also and discuss the corresponding black hole spectrum
The Conjecture Of Tate And Voloch On pAdic Proximity To Torsion
 Internat. Math. Research Notices 1999
, 1999
"... . Tate and Voloch have conjectured that the padic distance from torsion points of semiabelian varieties over C p to subvarieties may be uniformly bounded. We prove this conjecture for torsion points on semiabelian varieties over Qp alg using methods of algebraic model theory and a result of ..."
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Cited by 12 (2 self)
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of Sen on Galois representation of HodgeTate type. As a generalization of their theorem on linear forms in padic roots of unity, Tate and Voloch conjectured: Conjecture: (Tate, Voloch) Let G be a semiabelian variety over C p . Let X G be a subvariety dened over C p . Then there is a constant N 2 N
Stiffness of finite free resolutions and the canonical element conjecture
, 2003
"... Sur un anneau local noethérien, les résolutions libres minimales finies ont une certaine propriété de rigidité lorsque la caractéristique de l’anneau égale la caractéristique de son corps résiduel (théorème 1). Cette propriété évoque le critère de Buchsbaum et Eisenbud où il n’est pas question de ca ..."
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Cited by 2 (1 self)
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caractéristique; cependant, personne ne sait si rigidité reste valable en caractéristique mixte. Conjecturons seulement ceci: sur tout anneau local de Gorenstein, d’égale caractéristique ou non, toutes les résolutions libres minimales finies sont rigides (au sens de la définition 1). L’objet de cette note est de
Steklov Mathematical Institute,
, 2002
"... In the framework of the Sen conjectures a construction of vacuum superstring field theory on a nonBPS brane is discussed. A distinguished feature of this theory is a presence of a ghost kinetic operator mixing GSO ± sectors. We proposed a candidate for such kinetic operator with zero cohomology. On ..."
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In the framework of the Sen conjectures a construction of vacuum superstring field theory on a nonBPS brane is discussed. A distinguished feature of this theory is a presence of a ghost kinetic operator mixing GSO ± sectors. We proposed a candidate for such kinetic operator with zero cohomology
Proof of vanishing cohomology at the tachyon vacuum
, 2006
"... We prove Sen’s third conjecture that there are no onshell perturbative excitations of the tachyon vacuum in open bosonic string field theory. The proof relies on the existence of a special state A, which, when acted on by the BRST operator at the tachyon vacuum, gives the identity. While this state ..."
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Cited by 87 (7 self)
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We prove Sen’s third conjecture that there are no onshell perturbative excitations of the tachyon vacuum in open bosonic string field theory. The proof relies on the existence of a special state A, which, when acted on by the BRST operator at the tachyon vacuum, gives the identity. While
Physique Théorique et Mathématique, Statistical and Plasma Physics C.P. 231,
, 2006
"... We review various Ktheory classification conjectures in string theory. Sen conjecture based proposals classify Dbrane trajectories in backgrounds with no H flux, while FreedWitten anomaly based proposals classify conserved RR charges and magnetic RR fluxes in topologically timeindependent backgr ..."
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We review various Ktheory classification conjectures in string theory. Sen conjecture based proposals classify Dbrane trajectories in backgrounds with no H flux, while FreedWitten anomaly based proposals classify conserved RR charges and magnetic RR fluxes in topologically time
Pure Gauge Configurations and Tachyon Solutions to String Field Theories Equations of Motion
, 2009
"... In construction of analytical solutions to open string field theories pure gauge configurations parameterized by wedge states play an essential role. These pure gauge configurations are constructed as perturbation expansions and to guaranty that these configurations are asymptotical solutions to e ..."
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Cited by 6 (1 self)
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this demonstration numerically for the pure gauge configurations related to tachyon solutions for the bosonic and NS fermionic SFT. By the numerical calculations we also show that the perturbation expansions are cured by adding extra terms. These terms are nothing but the terms necessary to make valued the Sen
Wordsheet corrections to dyons in string theories: A laboratory for the strong OSV conjecture
, 712
"... Abstract: The simplest dyons in the toroidal compactifications of type IIB string theory correspond to nontrivial dilaton, NS two form and metric in 10D. Presuming that the NS two form can be considered as torsion (MT conjecture), we construct all the α ′3 corrections from the known R 4 correction ..."
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before utilizing Sen’s formalism to evaluate α ′3 corrections to the entropy of such simplest dyon. These corrections are found nonvanishing. On the contrary, we argue that the strong OSV conjecture implies they should be vanishing. This conflict validates only one of the strong OSV conjecture
Results 1  10
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83