Fundamental Strings as Black Bodies

We show that the decay spectrum of massive excitations in perturbative string theories is thermal when averaged over the (many) initial degenerate states. We first compute the inclusive photon spectrum for open strings at the tree level showing that a black body spectrum with the Hagedorn temperature emerges in the averaging. A similar calculation for a massive closed string state with winding and Kaluza-Klein charges shows that the emitted graviton spectrum is thermal with a "grey-body" factor, which approaches one near extremality. These results uncover a simple physical meaning of the Hagedorn temperature and provide an explicit microscopic derivation of the black body spectrum from a unitary $S$ matrix.Comment: some changes in the Discussion section and in the reference list. 11 pages, Late

Decay Modes of Intersecting Fluxbranes

Just as the single fluxbrane is quantum mechanically unstable to the nucleation of a locally charged spherical brane, so intersecting fluxbranes are unstable to various decay modes. Each individual element of the intersection can decay via the nucleation of a spherical brane, but uncharged spheres can also be nucleated in the region of intersection. For special values of the fluxes, however, intersecting fluxbranes are supersymmetric, and so are expected to be stable. We explicitly consider the instanton describing the decay modes of the two--element intersection (an F5-brane in the string theory context), and show that in dimensions greater than four the action for the decay mode of the supersymmetric intersection diverges. This observation allows us to show that stable intersecting fluxbranes should also exist in type 0A string theory.Comment: 19 pages, 6 figures. References adde

Revealing the Competition between Peeled-Ssdna, Melting Bubbles and S-DNA during DNA Overstretching using Fluorescence Microscopy

Understanding the structural changes occurring in double-stranded (ds)DNA during mechanical strain is essential to build a quantitative picture of how proteins interact and modify DNA. However, the elastic response of dsDNA to tension is only well-understood for forces < 65 pN. Above this force, torsionally unconstrained dsDNA gains ∼70% of its contour length, a process known as overstretching. The structure of overstretched DNA has proved elusive, resulting in a rich and controversial debate in recent years. At the centre of the debate is the question of whether overstretching yields a base-paired elongated structure, known as S-DNA, or instead forms single-stranded (ss)DNA via base-pair cleavage. Here, we show clearly, using a combination of fluorescence microscopy and optical tweezers, that both S-DNA and base-pair melted structures can exist, often concurrently, during overstretching. The balance between the two models is affected strongly by temperature and ionic strength. Moreover, we reveal, for the first time, that base-pair melting can proceed via two entirely different processes: progressive strand unpeeling from a free end in the backbone, or by the formation of ‘bubbles' of ssDNA, nucleating initially in AT-rich regions. We demonstrate that the mechanism of base-pair melting is governed by DNA topology: strand unpeeling is favored when there are free ends in the DNA backbone. Our studies settle a long running debate, and unite the contradictory dogmas of DNA overstretching. These findings have important implications for both medical and biological sciences. Force-induced melting transitions (yielding either peeled-ssDNA or melting bubbles) may play active roles in DNA replication and damage repair. Further, the ability to switch easily from DNA containing melting bubbles to S-DNA may be particularly advantageous in the cell, for instance during the formation of RNA within transcription bubbles. Copyright © 2013 Biophysical Society. Published by Elsevier Inc. All rights reserved

Revealing the Competition between Peeled-Ssdna, Melting Bubbles and S-DNA during DNA Overstretching using Fluorescence Microscopy

Understanding the structural changes occurring in double-stranded (ds)DNA during mechanical strain is essential to build a quantitative picture of how proteins interact and modify DNA. However, the elastic response of dsDNA to tension is only well-understood for forces < 65 pN. Above this force, torsionally unconstrained dsDNA gains ∼70% of its contour length, a process known as overstretching. The structure of overstretched DNA has proved elusive, resulting in a rich and controversial debate in recent years. At the centre of the debate is the question of whether overstretching yields a base-paired elongated structure, known as S-DNA, or instead forms single-stranded (ss)DNA via base-pair cleavage. Here, we show clearly, using a combination of fluorescence microscopy and optical tweezers, that both S-DNA and base-pair melted structures can exist, often concurrently, during overstretching. The balance between the two models is affected strongly by temperature and ionic strength. Moreover, we reveal, for the first time, that base-pair melting can proceed via two entirely different processes: progressive strand unpeeling from a free end in the backbone, or by the formation of ‘bubbles' of ssDNA, nucleating initially in AT-rich regions. We demonstrate that the mechanism of base-pair melting is governed by DNA topology: strand unpeeling is favored when there are free ends in the DNA backbone. Our studies settle a long running debate, and unite the contradictory dogmas of DNA overstretching. These findings have important implications for both medical and biological sciences. Force-induced melting transitions (yielding either peeled-ssDNA or melting bubbles) may play active roles in DNA replication and damage repair. Further, the ability to switch easily from DNA containing melting bubbles to S-DNA may be particularly advantageous in the cell, for instance during the formation of RNA within transcription bubbles. Copyright © 2013 Biophysical Society. Published by Elsevier Inc. All rights reserved

One-loop four-graviton amplitude in eleven-dimensional supergravity

We find explicit expression for the one-loop four-graviton amplitude in eleven-dimensional supergravity compactified on a circle. Represented in terms of the string coupling (related to the compactification radius) it takes the form of an infinite sum of perturbative string loop corrections. We also compute the amplitude in the case of compactification on a 2-torus which is given by an SL(2,Z) invariant expansion in powers of the torus area. We discuss the structure of quantum corrections in eleven-dimensional theory and their relation to string theory.Comment: 14 pages, harvmac. Remarks on the amplitude in uncompactified D=11 space and on explicit structure of R^4 terms adde

A new technique for computing the spectral density of sunset-type diagrams: integral transformation in configuration space

We present a new method to investigate a class of diagrams which generalizes the sunset topology to any number of massive internal lines. Our attention is focused on the computation of the spectral density of these diagrams which is related to many-body phase space in $D$ dimensional space-time. The spectral density is determined by the inverse $K$-transform of the product of propagators in configuration space. The inverse $K$-transform reduces to the inverse Laplace transform in any odd number of space-time dimensions for which we present an explicit analytical result.Comment: 13 pages in LaTeX, one PostScript figure included in the tex

Geometric Entropy of Nonrelativistic Fermions and Two Dimensional Strings

We consider the geometric entropy of free nonrelativistic fermions in two dimensions and show that it is ultraviolet finite for finite fermi energies, but divergent in the infrared. In terms of the corresponding collective field theory this is a {\em nonperturbative} effect and is related to the soft behaviour of the usual thermodynamic entropy at high temperatures. We then show that thermodynamic entropy of the singlet sector of the one dimensional matrix model at high temperatures is governed by nonperturbative effects of the underlying string theory. In the high temperature limit the ``exact'' expression for the entropy is regular but leads to a negative specific heat, thus implying an instability. We speculate that in a properly defined two dimensional string theory, the thermodynamic entropy could approach a constant at high temperatures and lead to a geometric entropy which is finite in the ultraviolet.Comment: LaTex, 19 pages, no figures. Some references adde

Spinning and rotating strings for N=1 SYM theory and brane constructions

We obtain spinning and rotating closed string solutions in AdS_5 \times T^{1,1} background, and show how these solutions can be mapped onto rotating closed strings embedded in configurations of intersecting branes in type IIA string theory. Then, we discuss spinning closed string solutions in the UV limit of the Klebanov-Tseytlin background, and also properties of classical solutions in the related intersecting brane constructions in the UV limit. We comment on extensions of this analysis to the deformed conifold background, and in the corresponding intersecting brane construction, as well as its relation to the deep IR limit of the Klebanov-Strassler solution. We briefly discuss on the relation between type IIA brane constructions and their related M-theory descriptions, and how solitonic solutions are related in both descriptions.Comment: 35 pages. Dedicated to the memory of Ian I. Kogan. References adde

Strings in Gravimagnetic Fields

We provide a complete solution of closed strings propagating in Nappi-Witten space. Based on the analysis of geodesics we construct the coherent wavefunctions which approximate as closely as possible the classical trajectories. We then present a new free field realization of the current algebra using the gamma, beta ghost system. Finally we construct the quantum vertex operators, for the tachyon, by representing the wavefunctions in terms of the free fields. This allows us to compute the three- and four-point amplitudes, and propose the general result for N-point tachyon scattering amplitude.Comment: final version, 29 pages + 4 app