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An expander code is a binary linear code whose parity-check matrix is the bi-adjacency matrix of a bipartite expander graph. We provide a new formula for the minimum distance of such codes. We also provide a new proof of the result that…

Combinatorics · Mathematics 2021-01-06 Sudipta Mallik

Within the standard $3\nu$ framework, we discuss updated bounds on the leading oscillation parameters related to the $(\nu_1,\,\nu_2)$ states, namely, the squared mass difference $\delta m^2=m^2_2-m^2_1$ and the mixing parameter…

High Energy Physics - Phenomenology · Physics 2025-11-27 Francesco Capozzi , Eligio Lisi , Francesco Marcone , Antonio Marrone , Antonio Palazzo

There are at present two known string theories in $(2,2)$ dimensions. One of them is the well known $N=2$ string, and the other one is a more recently constructed $N=1$ spacetime supersymmetric string. They are both based on certain…

High Energy Physics - Theory · Physics 2010-04-06 H. Lu , C. N. Pope , E. Sezgin

We investigate the correlators in unitary minimal conformal models coupled to two-dimensional gravity from the two-matrix model. We show that simple fusion rules for all of the scaling operators exist. We demonstrate the role played by the…

High Energy Physics - Theory · Physics 2009-10-30 Masahiro Anazawa

Certain type II string non-threshold BPS bound states are shown to be related to non-static backgrounds in 11-dimensional theory. The 11-d counterpart of the bound state of NS-NS and R-R type IIB strings wound around a circle is a pure…

High Energy Physics - Theory · Physics 2009-09-17 J. G. Russo , A. A. Tseytlin

A brief historical synopsis of the connection between gauge theories and string theory is given. Meson configurations known as k-strings are examined from string theory via the gauge/gravity correspondence. Backgrounds dual to k-strings in…

High Energy Physics - Theory · Physics 2009-10-01 Kory Stiffler

We study the lowest energy E of a relativistic system of N identical bosons bound by harmonic-oscillator pair potentials in three spatial dimensions. In natural units the system has the semirelativistic ``spinless-Salpeter'' Hamiltonian H =…

Mathematical Physics · Physics 2009-11-07 Richard L. Hall , Wolfgang Lucha , F. F. Schoeberl

We study how tiny Dirac neutrino masses consistent with experimental constraints can arise in string theory SM-like vacua. We use as a laboratory 4d ${\cal N}=1$ type IIA Calabi--Yau orientifold compactifications, and in particular recent…

High Energy Physics - Theory · Physics 2024-07-22 Gonzalo F. Casas , Luis E. Ibáñez , Fernando Marchesano

Using the general connection between the upper limit on the neutrino mass and the upper limits on certain types of non-Standard Model interaction that can generate loop corrections to the neutrino mass, we derive constraints on some…

High Energy Physics - Phenomenology · Physics 2007-05-23 Takeyasu M. Ito , Gary Prezeau

The tensionless limit of string theory has recently been formulated in terms of worldsheet Rindler physics. In this paper, by considering closed strings moving in background Rindler spacetimes, we provide a concrete exemplification of this…

High Energy Physics - Theory · Physics 2022-05-04 Arjun Bagchi , Aritra Banerjee , Shankhadeep Chakrabortty , Ritankar Chatterjee

We present clear numerical evidence for string breaking in three-dimensional SU(2) gauge theory with fundamental bosonic matter through a mixing analysis between Wilson loops and meson operators representing bound states of a static source…

High Energy Physics - Lattice · Physics 2009-10-31 O. Philipsen , H. Wittig

In the minimal scenario of quantum correlations, two parties can choose from two observables with two possible outcomes each. Probabilities are specified by four marginals and four correlations. The resulting four-dimensional convex body of…

Quantum Physics · Physics 2023-03-22 Thinh P. Le , Chiara Meroni , Bernd Sturmfels , Reinhard F. Werner , Timo Ziegler

We uncover a remarkable role that an infinite hierarchy of non-linear differential equations plays in organizing and connecting certain {hat c}<1 string theories non-perturbatively. We are able to embed the type 0A and 0B (A,A) minimal…

High Energy Physics - Theory · Physics 2014-08-07 Ramakrishnan Iyer , Clifford V. Johnson , Jeffrey S. Pennington

We study the classical approximate string matching problem, that is, given strings $P$ and $Q$ and an error threshold $k$, find all ending positions of substrings of $Q$ whose edit distance to $P$ is at most $k$. Let $P$ and $Q$ have…

Data Structures and Algorithms · Computer Science 2011-03-21 Philip Bille

We compute all string tree level correlation functions of vertex operators in $c<1$ string theory. This is done by using the ring structure of the theory. In order to study the multicritical behaviour, we calculate the correlation functions…

High Energy Physics - Theory · Physics 2015-06-26 Suresh Govindarajan , T. Jayaraman , Varghese John

We revisit the line of non-unitary theories that interpolate between the Virasoro minimal models. Numerical bootstrap applications have brought about interest in the four-point function involving the scalar primary of lowest dimension.…

High Energy Physics - Theory · Physics 2021-07-08 Connor Behan

We study little string theory in a weak coupling limit defined in \gk.

High Energy Physics - Theory · Physics 2010-04-06 A. Giveon , D. Kutasov

We consider the M(2,3) Minimal Liouville gravity, whose states in the gravity sector are represented by irreducible modules of the Virasoro algebra. We present a recursive construction for BRST cohomology classes. This construction is based…

High Energy Physics - Theory · Physics 2014-11-20 O. Alekseev , M. Bershtein

In the context of Conformal Field Theory (CFT), many results can be obtained from the representation theory of the Virasoro algebra. While the interest in Logarithmic CFTs has been growing recently, the Virasoro representations…

High Energy Physics - Theory · Physics 2013-06-12 Azat M. Gainutdinov , Jesper Lykke Jacobsen , Hubert Saleur , Romain Vasseur

In this work we consider heterotic-gravity as the low-energy approximation to heterotic string theory. We define a consistent non-relativistic limit of heterotic gravity that includes the Yang-Mills Chern-Simons term. We perform three tests…

High Energy Physics - Theory · Physics 2023-10-31 Eric Bergshoeff , Luca Romano