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0705.0881.txt |@word dewitt:1 gr:1 magnetic:3 scalar:14 mna:4 gm:5 consider:2 devoted:1 inverse:1 manifolds:1 th:9 analogous:1 belonging:2 orthogonal:6 conditions:1 exact:2 presented:1 solution:8 pullback:1 vector:2 configurations:1 jhep:1 mn:1 det:3 cosh:2 integrability:1 chen:1 ωas:1 canonical:2 index:3 what:3 above:1 acknowledgments:1 satisfy:2 ibid:1 respectively:3 here:11 sinh:2 equations:1 obtained:1 antisymmetric:1 nachrichten:1 institute:1 vectors:6 products:2 action:2 formulated:1 projection:1 family:3 rus:1 use:1 covariant:4 positive:1 msu:1 negative:1 m1:4 m2:1 type:3 more:1 flat:6 composite:5 curvature:5 correspondingly:1 cases:3 derivation:1 ii:1 science:1 equation:1 work:1 mi:4 modified:1 theories:1 vs:8 following:5 f1:3 cosmological:5 uas:4 cartan:1 degenerate:1 τi1:1 guarantee:1 rather:1 means:1 sin:2 2ci:3 product:1 fs:7 description:1 τik:1 ua1:4 fa:1 fm:2 constants:2 correspond:3 st:2 sm:5 representation:1 sg:1 se:5 restriction:2 satisfied:2 paper:3 existence:1 perfect:1 2λa:1 τi:1 forms:6 systems:3 semisimple:1 yi:2 non:4 daa:1 they:1 multidimensional:8 now:1 term:1 finite:1 hαβ:12 classified:1 2d:2 2g:1 2c:2 friendship:1 constraints:6 2hs:1 related:2 toda:4 tsov:1 quantum:5 our:2 special:4 ivashchuk:8 ru:1 matrix:1 rs:4 nuovo:1 algebra:1 rev:1 δi1:1 research:1 may:4 gˆi:2 rl:1 rn:1 math:2 foundation:1 linear:2 diagonal:1 definition:1 r1:1 r2:1 ministry:1 δii:3 δij:2 signature:1 first:2 little:1 introduction:1 relations:4 melnikov:5 dfg:1 gives:1 moscow:2 part:1 sign:2 target:1 fundamental:1 cimento:1 second:1 gij:4 project:1 classes:1 were:3 f12:2 russia:3 unchanged:1 sv:1 kasner:2 curved:1 cosmology:6 intersecting:4 lie:2 zero:3 depending:1 gravity:1 εs:7 oriented:1 generalized:4 electric:2 bss:6 connected:1 class:3 χs:9 considered:4 calculated:1 steady:1 ohta:1 exp:11 sigma:2 notion:1 inflationary:1 supported:1 notations:2 spaces:5 relation:1 solutions:22 analogue:2 d1:10 indicator:1 parameters:2 explain:1 explicitly:1 subsection:4 integrable:2 do:1 dj:4 di:20 dd:1 fluid:1 dz:2 dx:2 du:5 qs:6 fields:5 arxiv:1 grav:6 qc:1 contain:2 moduli:1 set:5 ricci:6 see:4 gravitation:2 tensor:1 review:1 supergravity:1 symmetric:1 state:1 approach:2 terms:1 n1a:1 restrictions:3 last:1 etc:1 fna:1 otherwise:1 cj:1 ci:11 co:2 cb:1 ca:10 cs:12 branes:10 ps:1 described:1 union:1 minisuperspace:4 due:2 describes:1 basic:1 pi:1 empty:1 define:1 field:3 corresponding:2 θa:3 ik:3 gal:1 external:2 systematic:1 astron:1 c1:16 c0:2 present:1 case:3 subsets:1 will:1 euclidean:1 λaα:1 strominger:1 spacelike:1 metric:6 obeying:1 reads:4 ij:1 zhuk:4 technology:1 ric:2 metrology:1 belong:1 lett:2 any:3 read:2 peoples:1 electro:1 i1:3 i0:2 upon:1 kim:1 kept:1 center:1 charges:1 colour:1 well:1 without:3 sets:3 model:4 dimension:1 manifold:2 λa:2 identify:1 previous:2 conclusions:1 topical:1 other:2 location:1 momentum:1 λas:7 rules:9 vacuum:4 using:1 intersection:9 modifications:1 appearing:1 like:4 follows:6 university:1 therein:1 deal:1 truncated:1 some:1 rffi:1 2c0:1 2c1:1 classical:2 chains:1 obey:3 agreement:1 interval:1 cβ:1 cα:7 obeys:1 worldvolume:2 block:1 references:2 einstein:3 hep:9 additional:2 assumed:1 u1:5 quadratic:1 way:1 was:1 energy:1 form:7 hs:14 brane:15 volume:2 russian:2 algebras:1 cosmol:3 us:6 submanifolds:1 ωa:6 ua:3 nonintersecting:1 ab:4 constant:1 defined:5 certain:1 abstract:1 nna:2 denote:2 ni:3 functions:1 completeness:1 na:3 when:1 nas:2 valid:1 wheeler:1 models:2 a1:2 variable:1 2d1:1 assume:1 space:6 pseudo:1 governed:1 gutperle:2 |
0705.0882.txt |@word represent:1 transitions:3 consider:8 lls:2 caused:9 magnetic:40 global:1 dynamic:1 results:7 existing:3 leads:1 grateful:1 transversally:2 go:1 follow:1 expressions:8 mp:4 issues:3 gr:1 increase:1 dimensionality:1 const:2 referring:1 technique:2 experimentally:1 charge:1 critical:1 those:4 th:7 under:8 circumstances:1 pickering:1 kν:3 interacting:1 conjecture:1 comparatively:1 proved:1 string:1 takes:3 orthogonal:1 very:2 decreases:2 rise:1 keeping:1 choice:4 electron:45 δsm:1 every:1 figs:1 mixing:4 hµν:1 exact:5 condition:1 treating:1 obvious:4 riemann:1 presented:1 did:1 turns:3 anisotropy:1 solution:2 jackiw:1 large:1 solved:2 pˆ2:3 math:1 recall:1 small:8 gauge:5 noted:4 degeneracy:2 governing:1 upper:2 employing:1 consistent:4 estimates:4 literature:5 sign:2 approximation:11 zero:6 growing:3 further:4 estimated:1 odd:6 canonical:2 even:5 what:3 developed:1 giving:1 fine:1 section:5 ρs:1 expressed:3 uniform:1 consistently:1 axial:3 3h:1 above:2 lifshitz:1 3c:2 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0705.0903.txt |@word crucial:1 magnetic:1 results:2 gy:1 rebbi:1 abundant:1 violate:1 segments:1 b267:1 charge:4 stable:2 must:2 string:7 choice:1 condition:2 dominate:1 17th:1 kharagpur:1 solution:3 presenter:1 degeneracy:1 upper:1 cosh:3 fold:1 zero:12 further:1 odd:4 even:1 what:2 networks:1 indian:1 above:1 fractional:7 new:1 solitonic:1 led:1 respectively:1 component:2 here:1 ranges:3 objects:3 ansatz:1 sinh:2 address:1 directions:1 equations:3 appears:1 intersect:3 institute:1 studied:2 periodic:1 resulting:1 jackiw:3 stern:1 summation:2 total:1 takes:1 usa:1 negative:4 next:1 nucl:4 therefore:1 iit:1 solitons:1 operators:1 under:3 validity:1 virtue:1 known:1 ahmedabad:1 presumed:1 abundance:1 monopoles:1 permits:1 science:1 work:1 theories:2 remain:3 vega:1 values:5 carefully:1 example:1 december:1 states:7 numbers:1 degenerate:2 pond:1 species:1 absolute:1 b596:1 normalisable:1 instead:1 sin:2 fs:1 may:3 b79:1 after:2 plane:1 waves:1 d13:1 cosmology:2 so:3 polyakov:1 september:1 indeed:1 over:3 stability:4 abhijit:1 existence:4 solitary:2 brook:1 d33:1 coordinates:1 systems:1 constitutes:1 into:3 dae:1 non:3 prevented:1 introduce:1 obeyed:2 bang:1 skyrme:1 they:3 half:2 now:3 possess:1 term:1 finite:1 dirac:7 2r:2 2s:1 university:1 hermitian:1 mode:2 toroidal:3 each:1 found:2 d47:1 referred:1 doing:2 energy:3 reduce:1 frequency:1 obtains:2 loops:3 laboratory:1 transitions:1 stabilised:4 out:1 shown:3 unbound:1 space:2 bombay:1 furthermore:1 lagrangian:1 research:1 acting:1 reader:1 induced:6 theory:3 possibility:1 standard:2 york:1 cosmic:5 sahu:1 length:2 produce:1 hence:2 hadrons:1 first:2 render:1 number:18 another:1 carry:2 given:1 perturbation:1 leading:1 their:2 fermions:5 ranging:1 gives:2 transverse:1 kind:1 second:1 project:1 matter:1 fermionic:4 determined:1 doubly:1 were:1 treated:2 perturbative:1 spectrum:1 winding:2 vilenkin:1 conjugate:1 any:1 depending:1 self:2 nucleosynthesis:1 mechanism:1 note:2 instance:1 lifts:1 brns:1 begin:1 though:1 object:1 phase:1 segment:1 soliton:6 behaviour:1 accounted:1 tech:1 meaning:1 show:2 supported:1 ending:1 relation:1 solutions:7 keywords:1 trivial:1 find:2 ground:3 just:1 mumbai:1 explain:1 topological:4 only:1 local:1 exchanged:1 do:1 goes:1 de:1 generalise:1 cannot:1 dz:2 aκ:2 dr:2 evolution:1 fields:1 arxiv:2 summary:1 implication:1 discussing:1 traverse:1 violated:1 see:1 result:3 sea:1 phases:1 satisfying:2 ruptures:1 state:4 simplest:2 boundary:2 conditions:3 invisible:1 configuration:1 come:1 topology:1 both:1 cos:4 monopole:1 last:1 density:1 contribution:1 cn:2 conclude:1 cc:2 asymptotically:1 anti:1 conjugation:3 cq:1 conference:1 jetp:1 disintegrate:1 due:1 been:1 ph:2 sufficient:2 formed:1 argument:1 demand:2 rupture:1 those:1 case:1 unlike:1 pacs:1 indefinitely:3 expanded:1 value:1 spontaneously:2 will:1 near:2 property:1 loop:6 would:2 coupled:1 binding:1 narendra:1 itself:1 technology:2 fermion:20 disappear:1 grant:1 d18:1 same:2 epoch:1 complex:1 several:1 conflict:1 extended:1 sudarshan:1 unpublished:1 infinite:1 lower:1 modes:9 well:1 analysis:1 solve:1 model:2 ccc:2 b190:1 unified:2 proposed:1 being:1 conjugates:1 gadde:2 infinitely:1 iϕ:1 lett:2 real:2 nielsen:2 rev:5 disappearance:1 big:1 implications:2 possible:2 dark:1 unification:1 background:3 integer:2 mod:1 generated:1 necessary:2 semi:1 follows:1 separately:1 vortex:1 steps:1 alternatively:1 preskill:1 parity:1 because:1 classical:2 picture:1 some:1 demonstrated:1 majorana:8 eiϕ:1 continuing:1 expansion:1 bk:2 broken:1 carried:1 universe:1 dependence:2 constituting:1 introduced:1 stony:1 considerations:1 localised:1 presence:1 ηm:2 integral:1 bound:2 appropriate:1 references:1 operator:5 bosonic:1 rossi:1 hep:3 assumed:1 long:1 hooft:1 was:3 function:1 form:3 metastable:6 but:3 true:2 us:1 below:1 limit:2 uk:1 quantised:1 expect:1 mechanics:1 b61:1 certain:1 twist:1 quantum:3 conserved:1 exist:1 our:1 physical:1 again:2 amounts:1 when:2 nf:1 field:5 becomes:1 department:1 er:1 shrink:2 conclusion:1 symposium:1 apparent:1 powai:1 develops:1 important:1 bounded:1 included:1 factors:1 mass:2 olesen:2 requires:1 strings:3 |
0705.0904.txt |@word partial:1 gr:1 magnetic:17 leads:3 scalar:3 yavuz:1 sci:3 expressions:1 consider:2 depend:1 jaipur:1 deterministic:2 does:1 breach:1 include:1 letelier:3 g4:3 g3:1 string:21 rise:1 ostriker:2 choice:1 exact:2 condition:1 four:1 anisotropy:1 solution:6 t0:7 solved:1 vector:5 indices:1 maharaj:2 zh:1 occurrence:1 sign:1 civita:1 zero:1 melvin:2 linear:1 established:1 sub:1 ρp:7 wolfe:2 above:1 flowing:1 new:5 unrestricted:1 satisfy:1 explosion:1 respectively:2 component:3 here:2 understanding:1 behaviour:1 following:3 cylindrical:1 sinh:40 alone:2 along:1 strong:1 equations:13 obtained:1 remarks:1 study:3 studied:1 hospitality:1 suitable:2 highly:1 decrease:1 unit:1 proceed:1 would:1 covariant:1 positive:1 negative:1 asseo:2 approach:1 yilmaz:1 therefore:1 relativistic:2 taken:2 robertson:2 type:4 today:1 more:1 flat:1 duality:1 initiated:1 yahoo:2 particular:1 must:3 c44:5 comoving:1 c41:1 integrating:3 equation:1 work:1 theories:1 wands:2 pudritz:2 values:2 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0705.0916.txt |@word secondly:2 magnetic:1 advices:1 controversial:1 sch:3 whose:6 baye:1 spin:30 γh:6 γl:5 γg:5 worth:10 rise:2 intriguing:1 every:3 summarized:1 experimentally:1 gluex:2 convenience:1 hesse:1 horn:1 approximation:5 second:3 chen:1 qualitatively:3 estimated:1 nefediev:1 panda:2 goto:2 even:10 established:1 errors:1 hide:1 above:1 succesfully:1 new:8 increasing:1 pioneering:1 residual:1 here:2 symmetrizations:1 mev:4 olsson:5 auxiliary:1 obtained:9 voge:6 rigorously:2 study:16 brodsky:1 approaches:6 controversy:1 fernandez:1 complicated:2 changes:1 gluons:15 highly:2 brought:1 ujula:1 quarkantiquark:1 total:9 plot:1 would:1 negative:5 noting:2 m1:3 m0:3 m3:3 m2:9 robertson:1 separated:1 bakker:1 successful:1 brings:2 odinger:1 berlin:1 hold:1 must:1 md:1 springer:1 mc:2 mb:3 work:10 mk:1 mu:1 ms:5 root:1 example:6 mz:3 give:4 relativistic:29 involve:1 validated:1 absolute:4 end:1 provide:2 feature:2 shortrange:1 how:1 nontrivial:2 hou:1 answer:2 description:3 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0705.0917.txt |@word magnetically:1 partial:4 consider:1 remarkable:1 rev:10 luminosities:1 dynamic:1 results:3 kernphysik:1 existing:1 leads:3 eds:1 localized:1 γz:1 re:2 graph:1 technique:1 tr:3 nakajima:1 charge:2 under:1 cm2:5 appleton:1 mpg:3 presently:1 advantage:1 very:1 wave:16 electron:7 difference:1 condition:1 four:4 mξ:4 presented:1 evaluation:1 proposals:1 solution:1 damped:1 vector:4 phase:1 science:2 small:1 shows:2 equation:2 schroeder:1 employing:2 zh:1 oscillation:1 estimates:2 direct:1 approximation:1 rate:15 evaluated:2 rigorous:1 further:1 estimated:2 targets:1 theory:2 even:1 index:1 appear:2 assisted:1 8m:1 near:1 supplied:1 agrees:2 current:2 experiment:1 above:3 lifshitz:1 supplies:1 contrast:1 singhal:1 body:1 outgoing:1 ibid:5 fiz:1 respectively:2 equals:1 here:4 atoms:4 ionization:1 mev:3 address:3 directions:1 along:1 strong:5 equations:1 transformation:1 deduced:1 obtained:2 study:1 studied:2 allows:1 experience:1 finestructure:1 periodic:1 fourier:3 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0705.0920.txt |@word gd:2 limited:1 partial:4 gr:4 funct:5 global:3 datum:1 results:7 gx:3 lr1:3 gf:1 scalar:3 proposition:23 generalize:1 computation:1 rephrased:2 consists:1 follow:4 gl:11 issues:1 consider:8 compact:1 certainly:1 terms:5 analytic:1 tx:9 transferred:1 paris:1 technique:1 imme:1 young:2 finally:7 tj:4 depending:1 th:1 under:1 tf:2 td:4 tb:3 norm:18 symmetries:1 p2:5 kπ:1 fac:1 worse:2 orthogonal:1 very:1 reader:2 springer:1 focus:1 corollary:3 valued:4 every:19 lrt:1 lrx:5 elena:17 matrices:2 condition:1 classe:1 35b40:1 induction:1 t4:2 tokyo:1 t2:2 solution:4 t1:3 admissible:3 convenience:2 differential:7 ochenig:4 indices:2 eigenvalues:8 anal:7 der:1 nowak:1 berezin:1 upper:3 smaller:1 neighborhood:1 foundation:1 zd:10 det:87 guidelines:2 estimates:49 measurable:3 cosh:2 approximation:1 second:1 oberwolfach:1 l2t:11 incidentally:1 l2x:8 elliptiques:1 linear:5 spectral:1 index:5 what:1 nonlinear:2 appear:6 invertible:1 giving:2 diag:7 section:8 ast:1 analogously:2 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0705.0921.txt |@word limited:1 plenary:1 bottino:1 γz:1 violate:1 aug:2 segments:1 under:3 divergent:1 rise:1 jack:1 casas:1 affect:1 tagging:3 mχ01:2 haber:2 claudson:1 mizuta:1 cms:2 jhep:4 semileptonic:1 specially:1 consistent:6 guidelines:1 direct:6 approximation:1 likely:3 datta:7 chen:1 qualitatively:1 implemented:1 even:15 neutralino:17 selected:2 adhoc:3 poddar:1 above:7 new:1 increasing:1 mef:2 mechanisms:4 here:13 jcap:1 tevatron:9 calculate:1 obtained:3 study:5 typically:3 suitable:2 changes:1 yamada:1 brs:5 visible:1 neutrino:2 total:3 kobayashi:1 would:7 negative:22 m1:42 m0:44 heralded:2 type:4 relax:1 hold:1 must:2 abundance:5 mg:3 ma:1 pursue:1 work:3 mh:33 mt:7 temperatures:1 example:3 renormalization:2 indicated:1 give:2 india:4 generically:1 indicates:1 caution:2 degenerate:2 carriers:1 provide:1 feature:2 chargino:4 symposium:1 moroi:1 earlier:1 minimized:1 modest:2 sparticles:7 third:4 gluino:13 wino:1 acknowledges:1 order:3 edsjo:1 restriction:1 eigen:1 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