890 research outputs found
Instanton-soliton loops in 5D super-Yang-Mills
C.P. is a Royal Society Research Fellow and is partly supported by U.S. DOE Grants DOESC0010008,
DOE-ARRA-SC0003883 and DOE-DE-SC000789
5D Yang-Mills instantons from ABJM Monopoles
In the presence of a background supergravity flux, N M2-branes will expand
via the Myers effect into M5-branes wrapped on a fuzzy three-sphere. In
previous work the fluctuations of the M2-branes were shown to be described by
the five-dimensional Yang-Mills gauge theory associated to D4-branes. We show
that the ABJM prescription for eleven-dimensional momentum in terms of magnetic
flux lifts to an instanton flux of the effective five-dimensional Yang-Mills
theory on the sphere, giving an M-theory interpretation for these instantons.Comment: 29 pages, Latex; v2: added references and a comment on the
graviphoton coupling in section 5; v3: typos corrected and references adde
On Time-dependent Collapsing Branes and Fuzzy Odd-dimensional Spheres
We study the time-dependent dynamics of a collection of N
collapsing/expanding D0-branes in type IIA String Theory. We show that the
fuzzy-S^3 and S^5 provide time-dependent solutions to the Matrix Model of
D0-branes and its DBI generalisation. Some intriguing cancellations in the
calculation of the non-abelian DBI Matrix actions result in the fuzzy-S^3 and
S^5 having the same dynamics at large-N. For the Matrix model, we find analytic
solutions describing the time-dependent radius, in terms of Jacobi elliptic
functions. Investigation of the physical properties of these configurations
shows that there are no bounces for the trajectory of the collapse at large-N.
We also write down a set of useful identities for fuzzy-S^3, fuzzy-S^5 and
general fuzzy odd-spheres.Comment: 35 pages, latex; v2: discussion in Appendix B on the large-N limit of
the associator is modified, main results of paper unchange
Matrix Big Brunch
Following the holographic description of linear dilaton null Cosmologies with
a Big Bang in terms of Matrix String Theory put forward by Craps, Sethi and
Verlinde, we propose an extended background describing a Universe including
both Big Bang and Big Crunch singularities. This belongs to a class of exact
string backgrounds and is perturbative in the string coupling far away from the
singularities, both of which can be resolved using Matrix String Theory. We
provide a simple theory capable of describing the complete evolution of this
closed Universe.Comment: 15 pages, no figures. References adde
Deconstructing (2,0) proposals
C. P. is supported by the U.S. Department of Energy under
Grant No. DE-FG02-96ER40959. M. S. S. is supported by
an EURYI award of the European Science Foundatio
Accelerating Solitons
52 pages, 1 figureWe present the saddle-point approximation for the effective Hamiltonian of the quantum kink in two-dimensional linear sigma models to all orders in the time-derivative expansion. We show how the effective Hamiltonian can be used to obtain semiclassical soliton form factors, valid at momentum transfers of order the soliton mass. Explicit results, however, hinge on finding an explicit solution to a new wave-like partial differential equation, with a time-dependent velocity and a forcing term that depend on the solution. In the limit of small momentum transfer, the effective Hamiltonian reduces to the expected form, namely H = (P^2 + M^2)^(1/2), where M is the one-loop corrected soliton mass, and soliton form factors are given in terms of Fourier transforms of the corresponding classical profiles
Geometrical Aspects of An Abelian (2,0) Action
We explore various geometrical aspects of an action for six-dimensional chiral 2-forms based on the formalism of 1903.12196. We elucidate the coupling to general backgrounds and construct the full supersymmetric completion to an abelian (2,0) superconformal lagrangian including matter. We investigate the non-standard diffeomorphism properties of the fields and their relation to the hamiltonian formulation. We also test the action by considering compactifications on a circle, K3 and a Riemann surface. The results are consistent with expectations for an action describing the low-energy physics of an M5-brane in M-theory
AdS(7) black-hole entropy and 5D N=2 Yang-Mills
35 pages; v2 field-theory discussion modified, appendix added and typos correcte
Instanton Soliton Loops in 5D super-Yang-Mills
Soliton contributions to perturbative processes in QFT are controlled by a form factor, which depends on the soliton size. We provide a demonstration of this fact in a class of scalar theories with generic moduli spaces. We then argue that for instanton-solitons in 5D super-Yang-Mills theory the analogous form factor does not lead to faster-than-any-power suppression in the perturbative coupling. We also discuss the implications of such contributions for the UV behavior of maximally supersymmetric Yang-Mills in 5D and its relation to the (2,0) CFT in 6D. This is a contribution to the proceedings of the "String Math 2013'" conference and is a condensed version of results appearing in 1404.0016 and 1403.5017C.P. is a Royal Society Research Fellow and is partly supported by U.S. DOE Grants DOE-
SC0010008, DOE-ARRA-SC0003883 and DOE-DE-SC000789
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