46 research outputs found
The string partition function in Hull's doubled formalism
T-duality is one of the essential elements of string theory. Recently, Hull
has developed a formalism where the dimension of the target space is doubled so
as to make T-duality manifest. This is then supplemented with a constraint
equation that allows the connection to the usual string sigma model. This paper
analyses the partition function of the doubled formalism by interpreting the
constraint equation as that of a chiral scalar and then using holomorphic
factorisation techniques to determine the partition function. We find there is
quantum equivalence to the ordinary string once the topological interaction
term is included.Comment: 16 pages, latex, v2 typos corrected, v3 some comments adde
A note on the M2-M5 brane system and fuzzy spheres
This note covers various aspects of recent attempts to describe membranes
ending on fivebranes using fuzzy geometry. In particular, we examine the
Basu-Harvey equation and its relation to the Nahm equation as well as the
consequences of using a non-associative algebra for the fuzzy three-sphere.
This produces the tantalising result that the fuzzy funnel solution
corresponding to Q coincident membranes ending on a five-brane has
degrees of freedom.Comment: 17 pages, late
Five-brane Calibrations and Fuzzy Funnels
We present a generalisation of the Basu-Harvey equation that describes
membranes ending on intersecting five-brane configurations corresponding to
various calibrated geometries.Comment: 20 pages, latex, v2: typos fixed and refs adde
Background Field Equations for the Duality Symmetric String
This paper describes the background field equations for strings in T-duality
symmetric formalisms in which the dimension of target space is doubled and the
sigma model supplemented with constraints. These are calculated by demanding
the vanishing of the beta-functional of the sigma model couplings in the
doubled target space. We demonstrate the equivalence with the background field
equations of the standard string sigma model.Comment: 26 pages, latex, v2 typos correcte
A Double Sigma Model for Double Field Theory
We define a sigma model with doubled target space and calculate its
background field equations. These coincide with generalised metric equation of
motion of double field theory, thus the double field theory is the effective
field theory for the sigma model.Comment: 26 pages, v1: 37 pages, v2: references added, v3: updated to match
published version - background and detail of calculations substantially
condensed, motivation expanded, refs added, results unchange
Connecting T-duality invariant theories
We show that the vanishing of the one-loop beta-functional of the doubled
formalism (which describes string theory on a torus fibration in which the
fibres are doubled) is the same as the equation of motion of the recently
proposed generalised metric formulation of double field theory restricted to
this background: both are the vanishing of a generalised Ricci tensor. That
this tensor arises in both backgrounds indicates the importance of a new
doubled differential geometry for understanding both constructions.Comment: 25 pages. v2: published version with minor correction
Superconformal Yang-Mills quantum mechanics and Calogero model with OSp(N|2,R) symmetry
In spacetime dimension two, pure Yang-Mills possesses no physical degrees of
freedom, and consequently it admits a supersymmetric extension to couple to an
arbitrary number, N say, of Majorana-Weyl gauginos. This results in (N,0) super
Yang-Mills. Further, its dimensional reduction to mechanics doubles the number
of supersymmetries, from N to N+N, to include conformal supercharges, and leads
to a superconformal Yang-Mills quantum mechanics with symmetry group
OSp(N|2,R). We comment on its connection to AdS_2 \times S^{N-1} and reduction
to a supersymmetric Calogero model.Comment: 1+28 pages, no figure; Refs added. To appear in JHE
Genomic, Pathway Network, and Immunologic Features Distinguishing Squamous Carcinomas
This integrated, multiplatform PanCancer Atlas study co-mapped and identified distinguishing
molecular features of squamous cell carcinomas (SCCs) from five sites associated with smokin
Pan-cancer Alterations of the MYC Oncogene and Its Proximal Network across the Cancer Genome Atlas
Although theMYConcogene has been implicated incancer, a systematic assessment of alterations ofMYC, related transcription factors, and co-regulatoryproteins, forming the proximal MYC network (PMN),across human cancers is lacking. Using computa-tional approaches, we define genomic and proteo-mic features associated with MYC and the PMNacross the 33 cancers of The Cancer Genome Atlas.Pan-cancer, 28% of all samples had at least one ofthe MYC paralogs amplified. In contrast, the MYCantagonists MGA and MNT were the most frequentlymutated or deleted members, proposing a roleas tumor suppressors.MYCalterations were mutu-ally exclusive withPIK3CA,PTEN,APC,orBRAFalterations, suggesting that MYC is a distinct onco-genic driver. Expression analysis revealed MYC-associated pathways in tumor subtypes, such asimmune response and growth factor signaling; chro-matin, translation, and DNA replication/repair wereconserved pan-cancer. This analysis reveals insightsinto MYC biology and is a reference for biomarkersand therapeutics for cancers with alterations ofMYC or the PMN