Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
# | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
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1397 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{2}M_{6}$ | 0.6968 | 0.8524 | 0.8175 | [M:[1.0, 0.9556, 0.9112, 1.0444, 1.0, 1.0444], q:[0.5444, 0.4556], qb:[0.5444, 0.5], phi:[0.4889]] | [M:[[0], [-4], [-8], [4], [0], [4]], q:[[4], [-4]], qb:[[4], [0]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{4}$, ${ }M_{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$ | ${}M_{1}M_{5}$ | -3 | t^2.734 + t^2.933 + 2*t^3. + 3*t^3.133 + t^4.2 + t^4.333 + 3*t^4.467 + 2*t^4.6 + 3*t^4.733 + t^5.467 + t^5.667 + t^5.867 + 2*t^5.933 - 3*t^6. + 3*t^6.067 + 2*t^6.133 + 4*t^6.266 + t^6.934 + t^7.067 + t^7.134 + 3*t^7.2 + 2*t^7.333 + 2*t^7.4 + 4*t^7.467 - t^7.533 + 5*t^7.6 + t^7.667 + 7*t^7.733 - 3*t^7.8 + 7*t^7.866 + t^8.201 + 2*t^8.401 + t^8.534 + t^8.6 + 3*t^8.667 - 4*t^8.734 + 4*t^8.8 - 3*t^8.867 + 3*t^8.933 - t^4.467/y - t^7.2/y + t^7.333/y - t^7.4/y + t^7.533/y - t^7.6/y + t^7.733/y + t^8.667/y + (2*t^8.734)/y + (3*t^8.867)/y + (2*t^8.933)/y - t^4.467*y - t^7.2*y + t^7.333*y - t^7.4*y + t^7.533*y - t^7.6*y + t^7.733*y + t^8.667*y + 2*t^8.734*y + 3*t^8.867*y + 2*t^8.933*y | t^2.734/g1^8 + t^2.933/g1^2 + 2*t^3. + 3*g1^4*t^3.133 + t^4.2/g1^9 + t^4.333/g1^5 + (3*t^4.467)/g1 + 2*g1^3*t^4.6 + 3*g1^7*t^4.733 + t^5.467/g1^16 + t^5.667/g1^10 + t^5.867/g1^4 + (2*t^5.933)/g1^2 - 3*t^6. + 3*g1^2*t^6.067 + 2*g1^4*t^6.133 + 4*g1^8*t^6.266 + t^6.934/g1^17 + t^7.067/g1^13 + t^7.134/g1^11 + (3*t^7.2)/g1^9 + (2*t^7.333)/g1^5 + (2*t^7.4)/g1^3 + (4*t^7.467)/g1 - g1*t^7.533 + 5*g1^3*t^7.6 + g1^5*t^7.667 + 7*g1^7*t^7.733 - 3*g1^9*t^7.8 + 7*g1^11*t^7.866 + t^8.201/g1^24 + (2*t^8.401)/g1^18 + t^8.534/g1^14 + t^8.6/g1^12 + (3*t^8.667)/g1^10 - (4*t^8.734)/g1^8 + (4*t^8.8)/g1^6 - (3*t^8.867)/g1^4 + (3*t^8.933)/g1^2 - t^4.467/(g1*y) - t^7.2/(g1^9*y) + t^7.333/(g1^5*y) - t^7.4/(g1^3*y) + (g1*t^7.533)/y - (g1^3*t^7.6)/y + (g1^7*t^7.733)/y + t^8.667/(g1^10*y) + (2*t^8.734)/(g1^8*y) + (3*t^8.867)/(g1^4*y) + (2*t^8.933)/(g1^2*y) - (t^4.467*y)/g1 - (t^7.2*y)/g1^9 + (t^7.333*y)/g1^5 - (t^7.4*y)/g1^3 + g1*t^7.533*y - g1^3*t^7.6*y + g1^7*t^7.733*y + (t^8.667*y)/g1^10 + (2*t^8.734*y)/g1^8 + (3*t^8.867*y)/g1^4 + (2*t^8.933*y)/g1^2 |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
# | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
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Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
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Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
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Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|---|
913 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{4}$ | 0.7017 | 0.8608 | 0.8152 | [M:[1.0, 0.9396, 0.8792, 1.0604, 1.0], q:[0.5604, 0.4396], qb:[0.5604, 0.5], phi:[0.4849]] | t^2.638 + t^2.819 + t^2.909 + 2*t^3. + 2*t^3.181 + t^4.092 + t^4.273 + 3*t^4.455 + 2*t^4.636 + 3*t^4.817 + t^5.275 + t^5.456 + t^5.547 + t^5.638 + t^5.728 + 2*t^5.819 + 2*t^5.909 - t^6. - t^4.455/y - t^4.455*y | detail |