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10,250
Random spanning trees of Cayley graphs and an associated compactification of semigroups
, 1998
"... A sequential construction of a random spanning tree for the Cayley graph of a finitely generated, countably infinite subsemigroup V of a group G is considered. At stage n, the spanning tree T is approximated by a finite tree Tn rooted at the identity. The approximation Tn+1 is obtained by connecting ..."
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by connecting edges to the points of V that are not already vertices of Tn but can be obtained from vertices of Tn via multiplication by a random walk step taking values in the generating set of V. This construction leads to a compactification of the semigroup V in which a sequence of elements of V
Toroidal compactifications without vector structure
 JHEP
, 1998
"... Many important ideas about string duality that appear in conventional T2 compactification have analogs for T2 compactification without vector structure. We analyze some of these issues and show, in particular, how orientifold planes associated with Sp(n) gauge groups can arise from Tduality and how ..."
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Cited by 141 (4 self)
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Many important ideas about string duality that appear in conventional T2 compactification have analogs for T2 compactification without vector structure. We analyze some of these issues and show, in particular, how orientifold planes associated with Sp(n) gauge groups can arise from T
ON ORBIFOLD COMPACTIFICATIONS
, 2003
"... The twoloop chiral measure for superstring theories compactified on Z2 reflection orbifolds is constructed from first principles for even spin structures. This is achieved by a careful implementation of the chiral splitting procedure in the twisted sectors and the identification of a subtle worldsh ..."
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worldsheet supersymmetric and supermoduli dependent shift in the Prym period. The construction is generalized to compactifications which involve more general NS backgrounds preserving worldsheet supersymmetry. The measures are unambiguous and independent of the gauge slice. Two applications are presented
BPS Action and Superpotential for Heterotic String Compactifications with Fluxes
, 2003
"... We consider N = 1 compactifications to four dimensions of heterotic string theory in the presence of fluxes. We show that up to order O (α ′2) the associated action can be written as a sum of squares of BPSlike quantities. In this way we prove that the equations of motion are solved by backgrounds ..."
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Cited by 81 (4 self)
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We consider N = 1 compactifications to four dimensions of heterotic string theory in the presence of fluxes. We show that up to order O (α ′2) the associated action can be written as a sum of squares of BPSlike quantities. In this way we prove that the equations of motion are solved by backgrounds
Heterotic flux compactifications and their moduli
, 2006
"... We study supersymmetric compactification to four dimensions with nonzero Hflux in heterotic string theory. The background metric is generically conformally balanced and can be conformally Kähler if the primitive part of the Hflux vanishes. Analyzing the linearized variational equations, we write ..."
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Cited by 21 (3 self)
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down necessary conditions for the existence of moduli associated with the metric. In a heterotic model that is dual to a IIB compactification on an orientifold, we find the metric moduli in a fixed Hflux background via duality and check that they satisfy the required conditions. We also discuss
Kinetic terms in warped compactifications
"... We develop formalism for computing the kinetic terms of 4d fields in string compactifications, particularly with warping. With the help of the Hamiltonian approach, we identify a gauge dependent inner product on the compactification manifold which depends on the warp factor. It is shown that kinetic ..."
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Cited by 20 (1 self)
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We develop formalism for computing the kinetic terms of 4d fields in string compactifications, particularly with warping. With the help of the Hamiltonian approach, we identify a gauge dependent inner product on the compactification manifold which depends on the warp factor. It is shown
Results 1  10
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10,250