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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6069 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{2}M_{7}$ + ${ }M_{1}X_{1}$ + ${ }M_{4}M_{9}$ | 0.6494 | 0.8022 | 0.8095 | [X:[1.3664], M:[0.6336, 1.1442, 0.8558, 0.9219, 1.0781, 0.6997, 0.8558, 1.1442, 1.0781], q:[0.7943, 0.5721], qb:[0.3499, 0.506], phi:[0.4444]] | [X:[[2]], M:[[-2], [2], [-2], [2], [-2], [2], [-2], [2], [-2]], q:[[1], [1]], qb:[[1], [-3]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{6}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{9}$, ${ }M_{2}$, ${ }M_{8}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }M_{6}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}M_{9}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}M_{8}$, ${ }M_{5}M_{7}$, ${ }M_{7}M_{9}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{9}\phi_{1}^{2}$ | ${}M_{7}M_{8}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | -2 | t^2.099 + t^2.568 + t^2.667 + 2*t^3.234 + 2*t^3.432 + t^3.901 + 2*t^4.099 + t^4.198 + t^4.369 + t^4.568 + 3*t^4.766 + 2*t^5.234 + t^5.333 + t^5.432 + t^5.532 + t^5.802 + 2*t^5.901 - 2*t^6. + 3*t^6.099 + t^6.198 + t^6.297 + 3*t^6.468 + t^6.568 + t^6.667 + t^6.766 + 4*t^6.865 + t^6.937 + t^7.036 + t^7.135 + 3*t^7.333 + 2*t^7.432 + 3*t^7.532 + 2*t^7.603 + t^7.631 - t^7.703 + 3*t^7.802 + 4*t^8. - 5*t^8.099 + 6*t^8.198 + t^8.27 + t^8.297 - t^8.369 + t^8.397 + 4*t^8.468 - 2*t^8.568 + 2*t^8.667 + t^8.738 - 3*t^8.766 + 4*t^8.865 + t^8.937 + 3*t^8.964 - t^4.333/y - t^6.432/y - t^7./y + t^7.099/y - t^7.568/y + (2*t^7.667)/y + t^7.766/y + (2*t^8.234)/y + (2*t^8.333)/y + t^8.532/y + (2*t^8.802)/y + (2*t^8.901)/y - t^4.333*y - t^6.432*y - t^7.*y + t^7.099*y - t^7.568*y + 2*t^7.667*y + t^7.766*y + 2*t^8.234*y + 2*t^8.333*y + t^8.532*y + 2*t^8.802*y + 2*t^8.901*y | g1^2*t^2.099 + t^2.568/g1^2 + t^2.667 + (2*t^3.234)/g1^2 + 2*g1^2*t^3.432 + t^3.901/g1^2 + 2*g1^2*t^4.099 + g1^4*t^4.198 + t^4.369/g1^6 + t^4.568/g1^2 + 3*g1^2*t^4.766 + (2*t^5.234)/g1^2 + t^5.333 + g1^2*t^5.432 + g1^4*t^5.532 + t^5.802/g1^4 + (2*t^5.901)/g1^2 - 2*t^6. + 3*g1^2*t^6.099 + g1^4*t^6.198 + g1^6*t^6.297 + (3*t^6.468)/g1^4 + t^6.568/g1^2 + t^6.667 + g1^2*t^6.766 + 4*g1^4*t^6.865 + t^6.937/g1^8 + t^7.036/g1^6 + t^7.135/g1^4 + 3*t^7.333 + 2*g1^2*t^7.432 + 3*g1^4*t^7.532 + (2*t^7.603)/g1^8 + g1^6*t^7.631 - t^7.703/g1^6 + (3*t^7.802)/g1^4 + 4*t^8. - 5*g1^2*t^8.099 + 6*g1^4*t^8.198 + t^8.27/g1^8 + g1^6*t^8.297 - t^8.369/g1^6 + g1^8*t^8.397 + (4*t^8.468)/g1^4 - (2*t^8.568)/g1^2 + 2*t^8.667 + t^8.738/g1^12 - 3*g1^2*t^8.766 + 4*g1^4*t^8.865 + t^8.937/g1^8 + 3*g1^6*t^8.964 - t^4.333/y - (g1^2*t^6.432)/y - t^7./y + (g1^2*t^7.099)/y - t^7.568/(g1^2*y) + (2*t^7.667)/y + (g1^2*t^7.766)/y + (2*t^8.234)/(g1^2*y) + (2*t^8.333)/y + (g1^4*t^8.532)/y + (2*t^8.802)/(g1^4*y) + (2*t^8.901)/(g1^2*y) - t^4.333*y - g1^2*t^6.432*y - t^7.*y + g1^2*t^7.099*y - (t^7.568*y)/g1^2 + 2*t^7.667*y + g1^2*t^7.766*y + (2*t^8.234*y)/g1^2 + 2*t^8.333*y + g1^4*t^8.532*y + (2*t^8.802*y)/g1^4 + (2*t^8.901*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 |
---|---|---|---|---|---|---|---|---|---|
4568 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{2}M_{7}$ + ${ }M_{1}X_{1}$ | 0.6573 | 0.816 | 0.8055 | [X:[1.3496], M:[0.6504, 1.1274, 0.8726, 0.9051, 1.0949, 0.6829, 0.8726, 1.1274], q:[0.7859, 0.5637], qb:[0.3415, 0.5312], phi:[0.4444]] | t^2.049 + t^2.618 + t^2.667 + t^2.715 + t^3.285 + 2*t^3.382 + t^3.951 + 2*t^4.049 + t^4.097 + t^4.52 + t^4.618 + 3*t^4.715 + t^4.764 + 2*t^5.285 + t^5.333 + 2*t^5.382 + 2*t^5.431 + t^5.951 - t^6. - t^4.333/y - t^4.333*y | detail |