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Team Theory
, 1987
"... Contemporary or modern (mathematical) logic was born at the end of the 19th century. Its origin is connected with mathematics rather than philosophy, and my article will likewise be informed by a mathematical culture although I will try make connections with philosophy and the philosophy of ..."
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Cited by 66 (16 self)
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Contemporary or modern (mathematical) logic was born at the end of the 19th century. Its origin is connected with mathematics rather than philosophy, and my article will likewise be informed by a mathematical culture although I will try make connections with philosophy and the philosophy of
Finite size giant magnons and interactions
 Acta Phys. Polon. B39 (2008) 3143–3152 [arXiv:0810.5236
"... Magnon interactions give important contributions to the wrapping interactions of the N = 4 spinchain. Similar effects are expected for the finite size corrections to the giant magnon energy in AdS5 × S 5. In this paper I review the finite gap description of giant magnons and the leading order calcu ..."
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Cited by 5 (2 self)
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Magnon interactions give important contributions to the wrapping interactions of the N = 4 spinchain. Similar effects are expected for the finite size corrections to the giant magnon energy in AdS5 × S 5. In this paper I review the finite gap description of giant magnons and the leading order calculation of the finite size corrections to the giant magnon dispersion relation for multimagnon states. PACS numbers: 11.25.Tq, 11.55.Fv 1. Gauge invariant operators and spinchains A major test of the large N AdS/CFT correspondence [1] is the matching of the spectrum of the scaling dimensions of single trace operators in N = 4 super YangMills (SYM) and the energies of single strings propagating in AdS5 × S 5. Many features of the spectrum of single trace operators can be understood by treating it as a lattice model. This is most easily understood in the SU(2) sector, which consists of operators built out of the scalars Z and Y. Here the operators can then be mapped to simple spinchains. As realized by Minahan and Zarembo [2], the oneloop dilation operator in this sector equals the hamiltonian of the Heisenberg SU(2) spinchain. If we let Z represent spin up and Y represent spin down, a ferromagnetic ground state of a chain of length J is given by Ω 〉 = TrZ J =  ↑ ↑ · · · ↑ ↑ 〉. (1) This is a BPS state with classical dimension E = J and vanishing anomalous dimension.
unknown title
, 2012
"... We solve the equation of motion of boundary string field theory allowing generic boundary operators quadratic in X, and explore string theory nonperturbative vacua with massive state condensation. Using numerical analysis, a large number of new solutions are found. Their energies turn out to distr ..."
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We solve the equation of motion of boundary string field theory allowing generic boundary operators quadratic in X, and explore string theory nonperturbative vacua with massive state condensation. Using numerical analysis, a large number of new solutions are found. Their energies turn out to distribute densely in the range between the Dbrane tension and the energy of the tachyon vacuum. We discuss an interpretation of these solutions as perturbative closed string states. From the cosmological point of view, the distribution of the energies can be regarded as the socalled landscape of string theory, as we have a vast number of nonperturbative string theory solutions including one with small vacuum energy. Subject Index B26, B28
Giant Magnons and Spiky Strings on S3 with BField
, 2008
"... We study solutions for a rotating string on S3 with a background NSNS Bfield and show the existence of spiky string and giant magnon as two limiting solutions. We make a connection to the sineGordon model via the Polyakov worldsheet action and study the effect of Bfield. In particular, we find t ..."
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We study solutions for a rotating string on S3 with a background NSNS Bfield and show the existence of spiky string and giant magnon as two limiting solutions. We make a connection to the sineGordon model via the Polyakov worldsheet action and study the effect of Bfield. In particular, we find the magnon solution can be mapped to the excitation of a spin chain. We conjecture a Bdeformed CFT to be the gauge theory dual to this background. Subject Index: 121, 181 The AdS/CFT correspondence has revealed deep relation between string theory and gauge theory, in particular the correspondence between IIB strings on AdS5×S5 and N = 4 super YangMills theory (SYM) at the t’Hooft large N limit.1)–3) While the correspondence was mostly tested for those BPS states where partial super
and WilsonLoop
, 2000
"... The renormalization group equations of the YangMills theory are examined in the noncritical string theory according to the framework of the holography. Under a simple ansatz for the tachyon, we could find several interesting solutions which are classified by the value of the tachyon potential at t ..."
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The renormalization group equations of the YangMills theory are examined in the noncritical string theory according to the framework of the holography. Under a simple ansatz for the tachyon, we could find several interesting solutions which are classified by the value of the tachyon potential at the vacuum. We show two typical, asymptoticfree solutions which are different in their infrared behaviors. For both types of solutions, we could obtain quarkconfinement potential from the Wilsonloop. The stability of the tachyon and the ZigZag symmetry are also discussed for these solutions. 1
from Noncritical String
, 2000
"... The renormalization group equations of the YangMills theory are examined in the noncritical string theory according to the framework of the holography. Under a simple ansatz for the tachyon, we could find several interesting solutions which are classified by the value of the tachyon potential at t ..."
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The renormalization group equations of the YangMills theory are examined in the noncritical string theory according to the framework of the holography. Under a simple ansatz for the tachyon, we could find several interesting solutions which are classified by the value of the tachyon potential at the vacuum. We show two typical, asymptoticfree solutions which are different in their infrared behaviors. For both types of solutions, we could obtain quarkconfinement potential from the Wilsonloop. The stability of the tachyon and the ZigZag symmetry are also discussed for these solutions. 1
a Center for Quantum Spacetime (CQUeST), Sogang University, Seoul 121742, Korea
, 812
"... We generalize the one magnon solution in R × S 2 to unbounded M magnon and find the corresponding solitonic string configuration in the string sigma model. This configuration gives rise to the expected dispersion relation like one obtained from the spin chain model in the large ’t Hooft coupling lim ..."
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We generalize the one magnon solution in R × S 2 to unbounded M magnon and find the corresponding solitonic string configuration in the string sigma model. This configuration gives rise to the expected dispersion relation like one obtained from the spin chain model in the large ’t Hooft coupling limit. After considering (M, M) multi magnon or spike on R × S 2 × S 2 as a subspace of AdS5 × S 5 or AdS4 × CP 3, we investigate the dispersion relation and the finite
Seoul 121742, Korea
, 812
"... We generalize the one magnon solution in R × S 2 to unbounded M magnon and find the corresponding solitonic string configuration in the string sigma model. This configuration gives rise to the expected dispersion relation obtained from the spin chain model in the large ’t Hooft coupling limit. After ..."
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We generalize the one magnon solution in R × S 2 to unbounded M magnon and find the corresponding solitonic string configuration in the string sigma model. This configuration gives rise to the expected dispersion relation obtained from the spin chain model in the large ’t Hooft coupling limit. After considering (M, M) multimagnon or spike on R × S 2 × S 2 as a subspace of AdS5 × S 5 or AdS4 × CP 3, we investigate the dispersion relation and the finite size effect for (M, M) multimagnon or spike.