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We study the time-dependent tachyon backgrounds of the string collective field theory using the formalism of the $S$-matrix generating functional. In the process we clarify the connection between two ways of calculating the $S$-matrix, the…

High Energy Physics - Theory · Physics 2013-11-13 Julian Lee

We write down exact solutions in the collective field theory of the c=1 matrix model and in dilaton-gravity coupled to a massless scalar. Using the known correspondence between these two theories at the null boundaries of spacetime, we make…

High Energy Physics - Theory · Physics 2010-12-28 Joanna L. Karczmarek , Daoyan Wang

We derive the $\sigma$-model tachyon $\beta$-function equation of 2-dimensional string theory, in the background of flat space and linear dilaton, working entirely within the $c=1$ matrix model. The tachyon $\beta$-function equation is…

High Energy Physics - Theory · Physics 2009-10-28 Avinash Dhar , Gautam Mandal , Spenta R. Wadia

We discuss the basic features of the double scaling limit of the one dimensional matrix model and its interpretation as a two dimensional string theory. Using the collective field theory formulation of the model we show how the fluctuations…

High Energy Physics - Theory · Physics 2007-05-23 Sumit R. Das

We find classical solutions of two dimensional noncritical string theory which give rise to geometries with spacelike boundaries, similar to spacetimes with cosmological event horizons. In the c=1 matrix model, these solutions have a…

High Energy Physics - Theory · Physics 2009-11-10 Sumit R. Das , Joanna L. Karczmarek

We propose a new formulation of the space-time interpretation of the $c=1$ matrix model. Our formulation uses the well-known leg-pole factor that relates the matrix model amplitudes to that of the 2-dimensional string theory, but includes…

High Energy Physics - Theory · Physics 2009-10-28 Avinash Dhar , Gautam Mandal , Spenta R. Wadia

We discuss further a recent space-time interpretation of the $c=1$ matrix model which retains both sides of the inverted harmonic oscillator potential in the underlying free fermion theory and reproduces the physics of the discrete state…

High Energy Physics - Theory · Physics 2009-10-30 Avinash Dhar

It is generally accepted that the double-scaled 1D matrix model is equivalent to the $c=1$ string theory with tachyon condensation. There remain however puzzles that are to be clarified in order to utilize this connection for our quest…

High Energy Physics - Theory · Physics 2007-05-23 Tamiaki Yoneya

Through the continuum limit of the one matrix model on the multicritical point the corresponding Schwinger-Dyson equation of temporal-gauge string field theory is derived. It agrees with that of the background independent formulation…

High Energy Physics - Theory · Physics 2017-02-01 Michio Ikehara

We construct the string field Hamiltonian for $c=1-\frac{6}{m(m+1)}$ string theory in the temporal gauge. In order to do so, we first examine the Schwinger-Dyson equations of the matrix chain models and propose the continuum version of…

High Energy Physics - Theory · Physics 2009-10-28 M. Ikehara , N. Ishibashi , H. kawai , T. Mogami , R. Nakayama , N. Sasakura

We discuss time-dependent perturbations (induced by matter fields) of a black-hole background in tree-level two-dimensional string theory. We analyse the linearized case and show the possibility of having black-hole solutions with…

High Energy Physics - Theory · Physics 2009-10-22 G. A. Diamandis , B. C. Georgalas , X. Maintas , N. E. Mavromatos

In the Matrix Quantum Mechanical formulation of 2D string theory it is possible to introduce arbitrary tachyonic perturbations. In the case when the tachyonic momenta form a lattice, the theory is known to be integrable and, therefore, it…

High Energy Physics - Theory · Physics 2007-05-23 Sergei Alexandrov

We consider a matrix model description of the 2d string theory whose matter part is given by a time-like linear dilaton CFT. This is equivalent to the c=1 matrix model with a deformed, but very simple fermi surface. Indeed, after a Lorentz…

High Energy Physics - Theory · Physics 2008-11-26 Tadashi Takayanagi

We consider quantization of open string theories in linear dilaton and constant antisymmetric tensor backgrounds and discuss the noncommutativity of space-time coordinates arising in such theories, including their relationship with…

High Energy Physics - Theory · Physics 2014-11-18 Sandip Bhattacharyya , Alok Kumar , Swapna Mahapatra

We show that an integral transform of the fluctuations of the collective field of the $d=1$ matrix model satisfy the same linearized equation as that of the massless "tachyon" in the black hole background of the two dimensional critical…

High Energy Physics - Theory · Physics 2009-10-22 Sumit R. Das

Biadjoint scalar field theories appear in the study of scattering amplitudes and classical solutions in gauge, gravity and related theories. In this paper, we present new exact solutions of biadjoint scalar field theory, showing that…

High Energy Physics - Theory · Physics 2025-02-04 Kymani Armstrong-Williams , Chris D. White

The first massive level of closed bosonic string theory is studied. Free-field equations are derived by imposing Weyl invariance on the world sheet. A two-parameter solution to the equation of motion and constraints is found in two…

High Energy Physics - Theory · Physics 2009-10-31 Andy Wilkins

In this paper free quantum theories are derived solely from their underlying symmetry group without reference to a Lagrangean or classical physics and then interactions are introduced by making use of automorphism of the symmetry algebra.…

General Physics · Physics 2016-12-07 Harun Omer

After a brief review of critical string theory in trivial backgrounds we begin with introduction to strings in non--trivial backgrounds and noncritical string theory. In particular, we relate the latter to critical string theory in a linear…

High Energy Physics - Theory · Physics 2009-09-29 Arnaud Koetsier

We study possible backgrounds of 2D string theory using its equivalence with a system of fermions in upside-down harmonic potential. Each background corresponds to a certain profile of the Fermi sea, which can be considered as a deformation…

High Energy Physics - Theory · Physics 2011-07-19 Sergei Yu. Alexandrov , Vladimir A. Kazakov , Ivan K. Kostov
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