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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1510 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{5}M_{6}$ | 0.71 | 0.8716 | 0.8146 | [M:[1.0, 0.8862, 1.0, 0.8862, 1.0569, 0.9431], q:[0.5284, 0.4716], qb:[0.4716, 0.6422], phi:[0.4716]] | [M:[[0], [-4], [0], [-4], [2], [-2]], q:[[1], [-1]], qb:[[-1], [5]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{4}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$ | ${}M_{1}M_{3}$ | -3 | 2*t^2.659 + 2*t^2.829 + 2*t^3. + t^3.512 + 3*t^4.244 + 2*t^4.415 + t^4.585 + 2*t^4.756 + t^4.927 + t^5.268 + 3*t^5.317 + 2*t^5.488 + 6*t^5.659 + 2*t^5.829 - 3*t^6. + 4*t^6.903 + t^7.024 + 9*t^7.073 + 8*t^7.244 + t^7.415 + 2*t^7.585 + 2*t^7.756 + 4*t^7.976 + t^8.097 + 3*t^8.147 + 2*t^8.268 + 6*t^8.317 + 9*t^8.488 + t^8.78 - 6*t^8.829 - t^4.415/y - (2*t^7.073)/y - t^7.244/y + t^7.585/y + (2*t^7.756)/y + t^8.317/y + (4*t^8.488)/y + (5*t^8.659)/y + (4*t^8.829)/y - t^4.415*y - 2*t^7.073*y - t^7.244*y + t^7.585*y + 2*t^7.756*y + t^8.317*y + 4*t^8.488*y + 5*t^8.659*y + 4*t^8.829*y | (2*t^2.659)/g1^4 + (2*t^2.829)/g1^2 + 2*t^3. + g1^6*t^3.512 + (3*t^4.244)/g1^3 + (2*t^4.415)/g1 + g1*t^4.585 + 2*g1^3*t^4.756 + g1^5*t^4.927 + g1^9*t^5.268 + (3*t^5.317)/g1^8 + (2*t^5.488)/g1^6 + (6*t^5.659)/g1^4 + (2*t^5.829)/g1^2 - 3*t^6. + (4*t^6.903)/g1^7 + g1^12*t^7.024 + (9*t^7.073)/g1^5 + (8*t^7.244)/g1^3 + t^7.415/g1 + 2*g1*t^7.585 + 2*g1^3*t^7.756 + (4*t^7.976)/g1^12 + g1^7*t^8.097 + (3*t^8.147)/g1^10 + 2*g1^9*t^8.268 + (6*t^8.317)/g1^8 + (9*t^8.488)/g1^6 + g1^15*t^8.78 - (6*t^8.829)/g1^2 - t^4.415/(g1*y) - (2*t^7.073)/(g1^5*y) - t^7.244/(g1^3*y) + (g1*t^7.585)/y + (2*g1^3*t^7.756)/y + t^8.317/(g1^8*y) + (4*t^8.488)/(g1^6*y) + (5*t^8.659)/(g1^4*y) + (4*t^8.829)/(g1^2*y) - (t^4.415*y)/g1 - (2*t^7.073*y)/g1^5 - (t^7.244*y)/g1^3 + g1*t^7.585*y + 2*g1^3*t^7.756*y + (t^8.317*y)/g1^8 + (4*t^8.488*y)/g1^6 + (5*t^8.659*y)/g1^4 + (4*t^8.829*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 |
---|---|---|---|---|---|---|---|---|---|
971 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}^{2}$ | 0.7051 | 0.8629 | 0.8172 | [M:[1.0, 0.9027, 1.0, 0.9027, 1.0486], q:[0.5243, 0.4757], qb:[0.4757, 0.6216], phi:[0.4757]] | 2*t^2.708 + t^2.854 + 2*t^3. + t^3.146 + t^3.438 + 3*t^4.281 + 2*t^4.427 + t^4.573 + 2*t^4.719 + t^4.865 + t^5.157 + 3*t^5.416 + 4*t^5.708 + 2*t^5.854 - 2*t^6. - t^4.427/y - t^4.427*y | detail |