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Discrete Torsion
"... In this article we explain discrete torsion. Put simply, discrete torsion is the choice of orbifold group action on the B field. We derive the classification H 2 (Γ, U(1)), we derive the twisted sector phases appearing in string loop partition functions, we derive M. Douglas’s description of discret ..."
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Cited by 25 (11 self)
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In this article we explain discrete torsion. Put simply, discrete torsion is the choice of orbifold group action on the B field. We derive the classification H 2 (Γ, U(1)), we derive the twisted sector phases appearing in string loop partition functions, we derive M. Douglas’s description
Discrete Torsion
"... this paper, but is worth mentioning. Consult [8, 9] for further details. The reader might also wonder why one would ever go to so much trouble. Why not just work with a sigma model on X=G, which intellectually would look much simpler than a string orbifold? The answer is that for special X (e.g., to ..."
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.g., tori), the twodimensional QFT resulting from a string orbifold can be understood completely, in principle, and is wellbehaved. By contrast, a sigma model on X=G, even for special X, can be somewhat more complicated to understand, and is not as wellbehaved. 3 Basics of discrete torsion
Dbranes and discrete torsion
"... We show that discrete torsion is implemented in a Dbrane worldvolume theory by using a projective representation of the orbifold point group. We study the example ofC 3 / Z2 × Z2 and show that the resolution of singularities agrees with that proposed by Vafa and Witten. A new type of fractional br ..."
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Cited by 95 (5 self)
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We show that discrete torsion is implemented in a Dbrane worldvolume theory by using a projective representation of the orbifold point group. We study the example ofC 3 / Z2 × Z2 and show that the resolution of singularities agrees with that proposed by Vafa and Witten. A new type of fractional
Discrete Torsion and Shift Orbifolds
, 2003
"... In this paper we make two observations related to discrete torsion. First, we observe that an old obscure degree of freedom (momentum/translation shifts) in (symmetric) string orbifolds is related to discrete torsion. We point out how our previous derivation of discrete torsion from orbifold group a ..."
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In this paper we make two observations related to discrete torsion. First, we observe that an old obscure degree of freedom (momentum/translation shifts) in (symmetric) string orbifolds is related to discrete torsion. We point out how our previous derivation of discrete torsion from orbifold group
Discrete Torsion and Gerbes I
, 1999
"... In this technical note we give a purely geometric understanding of discrete torsion, as an analogue of orbifold Wilson lines for twoform tensor field potentials. In order to introduce discrete torsion in this context, we describe gerbes and the description of certain type II supergravity tensor fie ..."
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Cited by 23 (2 self)
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In this technical note we give a purely geometric understanding of discrete torsion, as an analogue of orbifold Wilson lines for twoform tensor field potentials. In order to introduce discrete torsion in this context, we describe gerbes and the description of certain type II supergravity tensor
Recent developments in discrete torsion
 hepth/0008191, Phys. Lett. B
"... In this short article we briefly review some recent developments in understanding discrete torsion. Specifically, we give a short overview of the highlights of a group of recent papers which give the basic understanding of discrete torsion. Briefly, those papers observe that discrete torsion can be ..."
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Cited by 2 (1 self)
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In this short article we briefly review some recent developments in understanding discrete torsion. Specifically, we give a short overview of the highlights of a group of recent papers which give the basic understanding of discrete torsion. Briefly, those papers observe that discrete torsion can
Notes on discrete torsion in orientifolds
, 2009
"... In this short note we discuss discrete torsion in orientifolds. In particular, we apply the physical understanding of discrete torsion worked out several years ago, as group actions on B fields, to the case of orientifolds, and recover some old results of Braun and Stefanski concerning group cohomol ..."
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In this short note we discuss discrete torsion in orientifolds. In particular, we apply the physical understanding of discrete torsion worked out several years ago, as group actions on B fields, to the case of orientifolds, and recover some old results of Braun and Stefanski concerning group
THE ALGEBRA OF DISCRETE TORSION
, 2002
"... Abstract. We analyze the algebraic structures of G–Frobenius algebras which are the algebras associated to global group quotient objects. Here G is any finite group. These algebras turn out to be modules over the Drinfeld double of the group ring k[G]. We furthermore prove that discrete torsion is a ..."
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Abstract. We analyze the algebraic structures of G–Frobenius algebras which are the algebras associated to global group quotient objects. Here G is any finite group. These algebras turn out to be modules over the Drinfeld double of the group ring k[G]. We furthermore prove that discrete torsion
THE ALGEBRA OF DISCRETE TORSION
, 2002
"... Abstract. We analyze the algebraic structures of G–Frobenius algebras which are the algebras associated to global group quotient objects. Here G is any finite group. These algebras turn out to be modules over the Drinfeld double of the group ring k[G]. We furthermore prove that discrete torsion is a ..."
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Abstract. We analyze the algebraic structures of G–Frobenius algebras which are the algebras associated to global group quotient objects. Here G is any finite group. These algebras turn out to be modules over the Drinfeld double of the group ring k[G]. We furthermore prove that discrete torsion
Discrete Torsion and Symmetric Products
, 1999
"... In this note we point out that a symmetric product orbifold CFT can be twisted by a unique nontrivial twococycle of the permutation group. This discrete torsion changes the spins and statistics of corresponding secondquantized string theory making it essentially “supersymmetric.” The long strings o ..."
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Cited by 12 (0 self)
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In this note we point out that a symmetric product orbifold CFT can be twisted by a unique nontrivial twococycle of the permutation group. This discrete torsion changes the spins and statistics of corresponding secondquantized string theory making it essentially “supersymmetric.” The long strings
Results 1  10
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35,790