Results 1  10
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121
Strings from tachyons: The c = 1 matrix reloaded
 JHEP
"... We propose a new interpretation of the c=1 matrix model as the worldline theory of N unstable Dparticles, in which the hermitian matrix is provided by the nonabelian open string tachyon. For Dparticles in 1+1d string theory, we find a direct quantitative match between the closed string emission ..."
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Cited by 130 (1 self)
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We propose a new interpretation of the c=1 matrix model as the worldline theory of N unstable Dparticles, in which the hermitian matrix is provided by the nonabelian open string tachyon. For Dparticles in 1+1d string theory, we find a direct quantitative match between the closed string emission due to a rolling tachyon and that due to a rolling eigenvalue in the matrix model. We explain the origin of the doublescaling limit, and interpret it as an extreme representative of a large equivalence class of dual theories. Finally, we define a concrete decoupling limit of unstable Dparticles in IIB string theory that reduces to the c=1 matrix model, suggesting that The duality between open and closed string theory has led to various deep and surprising insights into the fundamental structure of both systems. A relatively recent, but still incompletely understood, example of such a duality is Sen’s observation that unstable Dbranes can completely decay into closed strings via open string tachyon condensation [1]. Both the full time
Unitary and complex matrix models as 1d type 0 strings
, 2003
"... We propose that the double scaling behavior of the unitary matrix models, and that of the complex matrix models, is related to type 0B and 0A fermionic string theories. The particular backgrounds involved correspond to ĉ < 1 matter coupled to superLiouville theory. We examine in detail the ĉ = 0 ..."
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Cited by 69 (10 self)
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We propose that the double scaling behavior of the unitary matrix models, and that of the complex matrix models, is related to type 0B and 0A fermionic string theories. The particular backgrounds involved correspond to ĉ < 1 matter coupled to superLiouville theory. We examine in detail the ĉ = 0 or pure supergravity case, which is related to the double scaling limit around the GrossWitten transition, and find that reversing the sign of the Liouville superpotential interchanges the 0A and 0B theories. We also find smooth transitions between weakly coupled string backgrounds with Dbranes, and backgrounds with RamondRamond fluxes only. Finally, we discuss matrix models with multicritical potentials that are conjectured to correspond to 0A/0B string theories based on (2, 4k) superminimal models.
Rolling Tachyons from Liouville theory
, 2003
"... In this work we propose an exact solution of the c = 1 Liouville model, i.e. of the worldsheet theory that describes the homogeneous decay of a closed string tachyon. Our expressions are obtained through careful extrapolation from the correlators of Liouville theory with c ≥ 25. In the c = 1 limit, ..."
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Cited by 42 (3 self)
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In this work we propose an exact solution of the c = 1 Liouville model, i.e. of the worldsheet theory that describes the homogeneous decay of a closed string tachyon. Our expressions are obtained through careful extrapolation from the correlators of Liouville theory with c ≥ 25. In the c = 1 limit, we find two different theories which differ by the signature of Liouville field. The Euclidean limit coincides with the interacting c = 1 theory that was constructed by Runkel and Watts as a limit of unitary minimal models. The couplings for the Lorentzian limit are new. In contrast to the behavior at c> 1, amplitudes in both c = 1 models are nonanalytic in the momenta and consequently they are not related by Wick rotation.
A holomorphic and background independent partition function for matrix models and topological strings
, 2009
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Nonperturbative Effects and the Large–Order Behavior of Matrix Models and Topological Strings
, 711
"... Abstract: This work addresses nonperturbative effects in both matrix models and topological strings, and their relation with the large–order behavior of perturbation theory. We study instanton configurations in generic one–cut matrix models, obtaining explicit results for the one–instanton amplitude ..."
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Cited by 33 (6 self)
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Abstract: This work addresses nonperturbative effects in both matrix models and topological strings, and their relation with the large–order behavior of perturbation theory. We study instanton configurations in generic one–cut matrix models, obtaining explicit results for the one–instanton amplitude at both one and two loops. The holographic description of topological strings in terms of matrix models implies that our nonperturbative results also apply to topological strings on toric Calabi–Yau manifolds. This yields very precise predictions for the large–order behavior of the perturbative genus expansion, both in conventional matrix models and in topological string theory. We test these predictions in detail in various examples, including the quartic matrix model, topological strings on the local curve, and Hurwitz theory. In all these cases we provide extensive numerical checks which heavily support our nonperturbative analytical results. Moreover, since all these models have a critical point describing two–dimensional gravity, we also obtain in this way the large–order asymptotics of the relevant solution to the Painlevé I equation, including corrections in inverse genus. From a mathematical point of view, our results predict
INSTANTONS IN NONCRITICAL STRINGS FROM THE TWOMATRIX MODEL
"... We derive the nonperturbative corrections to the free energy of the twomatrix model in terms of its algebraic curve. The eigenvalue instantons are associated with the vanishing cycles of the curve. For the (p, q) critical points our results agree with the geometrical interpretation of the instanto ..."
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Cited by 22 (1 self)
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We derive the nonperturbative corrections to the free energy of the twomatrix model in terms of its algebraic curve. The eigenvalue instantons are associated with the vanishing cycles of the curve. For the (p, q) critical points our results agree with the geometrical interpretation of the instanton effects recently discovered in the CFT approach. The form of the instanton corrections implies that the linear relation between the FZZT and ZZ disc amplitudes is a general property of the 2D string theory and holds for any classical background. We find that the agreement with the CFT results holds in the presence of infinitesimal perturbations by order operators and observe that the ambiguity in the interpretation of the eigenvalue instantons as ZZbranes (four different choices for the matter and Liouville boundary conditions lead to the same result) is not lifted by the perturbations. We find similar results to the c = 1 string theory in the presence of tachyon perturbations. ∗Membre de l’Institut Universitaire de France † Associate member of the Institute for Nuclear Research and Nuclear Energy (I�I�E),
A new hat for the c = 1 matrix model
"... We consider two dimensional supergravity coupled to ĉ = 1 matter. This system can also be interpreted as noncritical type 0 string theory in a two dimensional target space. After reviewing and extending the traditional descriptions of this class of theories, we provide a matrix model description. Th ..."
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Cited by 19 (0 self)
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We consider two dimensional supergravity coupled to ĉ = 1 matter. This system can also be interpreted as noncritical type 0 string theory in a two dimensional target space. After reviewing and extending the traditional descriptions of this class of theories, we provide a matrix model description. The 0B theory is similar to the realization of two dimensional bosonic string theory via matrix quantum mechanics in an inverted harmonic oscillator potential; the difference is that we expand around a nonperturbatively stable vacuum, where the matrix eigenvalues are equally distributed on both sides of the potential. The 0A theory is described by a quiver matrix model. July
Twodimensional unoriented strings and matrix models
 JHEP 0406
, 2004
"... We investigate unoriented strings and superstrings in two dimensions and their dual matrix quantum mechanics. Most of the models we study have a tachyon tadpole coming from the RP 2 worldsheet which needs to be cancelled by a renormalization of the worldsheet theory. We find evidence that the dual m ..."
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Cited by 17 (1 self)
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We investigate unoriented strings and superstrings in two dimensions and their dual matrix quantum mechanics. Most of the models we study have a tachyon tadpole coming from the RP 2 worldsheet which needs to be cancelled by a renormalization of the worldsheet theory. We find evidence that the dual matrix models describe the renormalized theory. The singlet sector of the matrix models is integrable and can be formulated in terms of fermions moving in an external potential and interacting via the CalogeroMoser potential. We show that in the doublescaling limit the latter system exhibits particlehole duality and interpret it in terms of the dual string theory. We also show that oriented string theories in two dimensions can be continuously deformed into unoriented ones by turning on nonlocal interactions on the worldsheet. We find two unoriented superstring models for which only oriented worldsheets contribute to the Smatrix. A simple explanation for this is found in the dual matrix model. 10/2003
ZZ brane amplitudes from matrix models
 JHEP 0502 0502 (2005) 032 [arXiv:hepth/0412201
"... We study instanton contribution to the partition function of the one matrix model in the kth multicritical region which corresponds to the (2,2k − 1) minimal model coupled to Liouville theory. The instantons in the one matrix model are given by local extrema of the effective potential for a matrix ..."
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Cited by 15 (0 self)
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We study instanton contribution to the partition function of the one matrix model in the kth multicritical region which corresponds to the (2,2k − 1) minimal model coupled to Liouville theory. The instantons in the one matrix model are given by local extrema of the effective potential for a matrix eigenvalue and identified with the ZZ branes in Liouville theory. We show that the 2instanton contribution in the partition function is universal as well as the 1instanton contribution and that the connected part of the 2instanton contribution reproduces the annulus amplitudes between the ZZ branes in Liouville theory. Our result serves as another nontrivial check on the correspondence between the instantons in the one matrix model and the ZZ branes in Liouville theory, and also suggests that the expansion of the partition function in terms of the instanton numbers are universal and gives systematically ZZ brane amplitudes in Liouville theory.
On the Smatrix of type 0 string theory
 JHEP
, 2003
"... The recent discovery of nonperturbatively stable twodimensional string backgrounds and their dual matix models allows the study of complete scattering matrices in string theory. In this note we adapt work of Moore, Plesser, and Ramgoolam on the bosonic string to compute the exact Smatrices of 0A ..."
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Cited by 14 (0 self)
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The recent discovery of nonperturbatively stable twodimensional string backgrounds and their dual matix models allows the study of complete scattering matrices in string theory. In this note we adapt work of Moore, Plesser, and Ramgoolam on the bosonic string to compute the exact Smatrices of 0A and 0B string theory in two dimensions. Unitarity of the 0B theory requires the inclusion of massless soliton sectors carrying RR scalar charge as asymptotic states. We propose a regularization of IR divergences and find transition probabilities that distinguish the otherwise energetically degenerate soliton sectors. Unstable Dbranes can decay into distinct soliton sectors.