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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61057 | SU3adj1nf2 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ | 1.0697 | 1.2076 | 0.8858 | [X:[1.5174], M:[0.9651, 0.7238], q:[0.7471, 0.2645], qb:[1.0116, 0.5291], phi:[0.2413]] | [X:[[6]], M:[[-12], [-9]], q:[[-1], [5]], qb:[[4], [10]], phi:[[-3]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{2}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{3}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}^{3}q_{2}^{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$ | ${}M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}^{2}q_{2}\tilde{q}_{2}$ | -1 | 2*t^2.17 + t^2.38 + t^2.9 + 2*t^3.83 + 3*t^4.34 + 5*t^4.55 + t^4.76 + 2*t^5.07 + 2*t^5.28 + t^5.79 - t^6. + 2*t^6.21 + 4*t^6.51 + 8*t^6.72 + 7*t^6.93 + t^7.14 + 3*t^7.24 + 2*t^7.45 + 4*t^7.66 + 2*t^7.96 - 2*t^8.17 + 2*t^8.38 + 2*t^8.59 + 6*t^8.69 + 3*t^8.9 + t^8.17/y^2 - (2*t^8.9)/y^2 - t^3.72/y - t^4.45/y - (2*t^5.9)/y - t^6.1/y - (3*t^6.62)/y + t^7.55/y - t^8.07/y - t^8.49/y - (5*t^8.79)/y - t^3.72*y - t^4.45*y - 2*t^5.9*y - t^6.1*y - 3*t^6.62*y + t^7.55*y - t^8.07*y - t^8.49*y - 5*t^8.79*y + t^8.17*y^2 - 2*t^8.9*y^2 | (2*t^2.17)/g1^9 + g1^15*t^2.38 + t^2.9/g1^12 + 2*g1^9*t^3.83 + (3*t^4.34)/g1^18 + 5*g1^6*t^4.55 + g1^30*t^4.76 + (2*t^5.07)/g1^21 + 2*g1^3*t^5.28 + t^5.79/g1^24 - t^6. + 2*g1^24*t^6.21 + (4*t^6.51)/g1^27 + (8*t^6.72)/g1^3 + 7*g1^21*t^6.93 + g1^45*t^7.14 + (3*t^7.24)/g1^30 + (2*t^7.45)/g1^6 + 4*g1^18*t^7.66 + (2*t^7.96)/g1^33 - (2*t^8.17)/g1^9 + 2*g1^15*t^8.38 + 2*g1^39*t^8.59 + (6*t^8.69)/g1^36 + (3*t^8.9)/g1^12 + t^8.17/(g1^9*y^2) - (2*t^8.9)/(g1^12*y^2) - t^3.72/(g1^3*y) - t^4.45/(g1^6*y) - (2*t^5.9)/(g1^12*y) - (g1^12*t^6.1)/y - (3*t^6.62)/(g1^15*y) + (g1^6*t^7.55)/y - t^8.07/(g1^21*y) - (g1^27*t^8.49)/y - (5*t^8.79)/(g1^24*y) - (t^3.72*y)/g1^3 - (t^4.45*y)/g1^6 - (2*t^5.9*y)/g1^12 - g1^12*t^6.1*y - (3*t^6.62*y)/g1^15 + g1^6*t^7.55*y - (t^8.07*y)/g1^21 - g1^27*t^8.49*y - (5*t^8.79*y)/g1^24 + (t^8.17*y^2)/g1^9 - (2*t^8.9*y^2)/g1^12 |
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 |
---|---|---|---|---|---|---|---|---|---|
58840 | SU3adj1nf2 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ | 1.0499 | 1.1715 | 0.8962 | [X:[1.5135], M:[0.973], q:[0.7478, 0.2612], qb:[1.009, 0.5225], phi:[0.2433]] | t^2.19 + t^2.35 + t^2.92 + 3*t^3.81 + t^4.38 + 4*t^4.54 + t^4.7 + t^5.11 + 2*t^5.27 + t^5.84 - 2*t^6. - t^3.73/y - t^4.46/y - t^5.92/y - t^3.73*y - t^4.46*y - t^5.92*y | detail |