An overview of the geometry of string theory, which sets the various contributions to this proceedings in this context.

P-term potentials can give rise to Nielsen-Olesen or semi-local cosmic strings. We present a general analysis of these cosmic strings where we derive the Bogomol’nyi equations and field profiles for both types of string and discuss their stability. We give an analysis of the fermionic zero modes that could live on the strings and a brief discussion of the inflationary period preceding their for...

We study Dirac-Born-Infeld type effective field theory of a complex tachyon and U(1)×U(1) gauge fields describing a D3D̄3 system. Classical solutions of straight global and local DFstrings with quantized vorticity are found and are classified into two types by the asymptotic behavior of the tachyon amplitude. For sufficiently large radial distances, one has linearlygrowing tachyon amplitude and ...

Motivated by applications in bioinformatics and image searching, what follows, we study the classic pattern matching problem context of elastic-degenerate strings: generalised notion gapped strings. An string can be seen as an ordered collection k strings interleaved k−1 symbols, where each such symbol corresponds to a set two or more variable-length We present efficient algorithms for variants...

We address the question of finding stable and metastable cosmic strings in quasirealistic heterotic M-theory compactifications with stabilized moduli. According to Polchinski’s conjecture, the only stable strings in the absence of massless fields are Aharonov-Bohm strings. Such strings could potentially be created in heterotic compactifications as bound states of open membranes, five-branes wra...

A compression algorithm takes a finite structure of a class K as input and produces a finite structure of a different class K’ as output. Given a property P on the class K defined in a logicL, we study the definability of property P on the class K’. We consider two compression schemas on unary ordered structures (words), compression by runlength encoding and the classical Lempel-Ziv. First-orde...

We show that several types of global strings occur in colour superconducting quark matter due to the spontaneous violation of relevant U(1) symmetries. These include the baryon U(1)B , and approximate axial U(1)A symmetries as well as an approximate U(1)S arising from kaon condensation. We discuss some general properties of these strings and their interactions. In particular, we demonstrate tha...

An avian analogue to human artificial or synthetic grammar learning (Reber, 1967) was developed. Pigeons viewed horizontal strings of three to eight colored letters. These strings either conformed to Reber's artificial grammar or violated it in one or two locations. Pigeons categorized the letter strings as grammatical (left keypeck) or nongrammatical (right keypeck). Overall accuracy of catego...