9,248 research outputs found
3-manifold topology and the Donaldson-Witten partition function
We consider Donaldson-Witten theory on four-manifolds of the form where is a compact three-manifold. We show that there are
interesting relations between the four-dimensional Donaldson invariants of
and certain topological invariants of . In particular, we reinterpret a
result of Meng-Taubes relating the Seiberg-Witten invariants to
Reidemeister-Milnor torsion. If we show that the partition function
reduces to the Casson-Walker-Lescop invariant of , as expected on formal
grounds. In the case there is a correction. Consequently, in the
case , we observe an interesting subtlety in the standard
expectations of Kaluza-Klein theory when applied to supersymmetric gauge theory
compactified on a circle of small radius.Comment: 35 pages, harvmac b-mode, 3 figures, minor result adde
Integrability from 2d N=(2,2) Dualities
We study integrable models in the context of the recently discovered
Gauge/YBE correspondence, where the Yang-Baxter equation is promoted to a
duality between two supersymmetric gauge theories. We study flavored elliptic
genus of 2d quiver gauge theories, which theories are
defined from statistical lattices regarded as quiver diagrams. Our R-matrices
are written in terms of theta functions, and simplifies considerably when the
gauge groups at the quiver nodes are Abelian. We also discuss the modularity
properties of the R-matrix, reduction of 2d index to 1d Witten index, and
string theory realizations of our theories.Comment: 30 pages, 8 figure
Boson Dominance in nuclei
We present a new method of bosonization of fermion systems applicable when
the partition function is dominated by composite bosons. Restricting the
partition function to such states we get an euclidean bosonic action from which
we derive the Hamiltonian. Such a procedure respects all the fermion
symmetries, in particular fermion number conservation, and provides a boson
mapping of all fermion operators.Comment: 12 page
The M5-Brane Elliptic Genus: Modularity and BPS States
The modified elliptic genus for an M5-brane wrapped on a four-cycle of a
Calabi-Yau threefold encodes the degeneracies of an infinite set of BPS states
in four dimensions. By holomorphy and modular invariance, it can be determined
completely from the knowledge of a finite set of such BPS states. We show the
feasibility of such a computation and determine the exact modified elliptic
genus for an M5-brane wrapping a hyperplane section of the quintic threefold.Comment: 21 page
Rotating Higher Spin Partition Functions and Extended BMS Symmetries
We evaluate one-loop partition functions of higher-spin fields in thermal
flat space with angular potentials; this computation is performed in arbitrary
space-time dimension, and the result is a simple combination of Poincar\'e
characters. We then focus on dimension three, showing that suitable products of
one-loop partition functions coincide with vacuum characters of higher-spin
asymptotic symmetry algebras at null infinity. These are extensions of the
bms_3 algebra that emerges in pure gravity, and we propose a way to build their
unitary representations and to compute the associated characters. We also
extend our investigations to supergravity and to a class of gauge theories
involving higher-spin fermionic fields.Comment: 58 pages; clarifications and references added; version to be
published in JHE
- …