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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60576 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ | 1.4622 | 1.6497 | 0.8863 | [X:[1.3698], M:[0.9453, 0.9453, 0.8906], q:[0.5, 0.5547], qb:[0.5, 0.5547], phi:[0.3151]] | [X:[[0, 0, 2]], M:[[-1, 1, -6], [1, -1, 0], [0, 0, -6]], q:[[-1, 0, 0], [0, -1, 6]], qb:[[1, 0, 0], [0, 1, 0]], phi:[[0, 0, -1]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{3}$, ${ }M_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}\phi_{1}^{3}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{6}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}^{3}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$ | ${}$ | -3 | t^2.67 + 3*t^2.84 + t^3. + t^3.95 + 3*t^4.11 + t^4.27 + t^4.89 + 2*t^5.05 + t^5.22 + t^5.34 + 3*t^5.51 + 2*t^5.61 + 7*t^5.67 + 2*t^5.77 + t^5.84 - 3*t^6. - 2*t^6.16 + 2*t^6.55 + t^6.62 + 2*t^6.72 + 4*t^6.78 + 8*t^6.95 + 4*t^7.11 + t^7.27 + 2*t^7.34 + t^7.56 + 3*t^7.73 + 2*t^7.83 + 7*t^7.89 + t^8.02 + 5*t^8.05 + 3*t^8.18 + 5*t^8.22 + 7*t^8.34 + 2*t^8.38 + 2*t^8.45 + 11*t^8.51 + t^8.55 + 2*t^8.61 - 2*t^8.67 - 9*t^8.84 + t^8.84/y^2 - t^3.95/y - t^4.89/y - t^6.62/y - (3*t^6.78)/y - t^6.95/y - t^7.56/y - (3*t^7.73)/y - t^7.89/y + (3*t^8.51)/y + (4*t^8.67)/y + (2*t^8.84)/y - t^3.95*y - t^4.89*y - t^6.62*y - 3*t^6.78*y - t^6.95*y - t^7.56*y - 3*t^7.73*y - t^7.89*y + 3*t^8.51*y + 4*t^8.67*y + 2*t^8.84*y + t^8.84*y^2 | t^2.67/g3^6 + (g1*t^2.84)/g2 + (g2*t^2.84)/(g1*g3^6) + t^2.84/g3^3 + t^3. + t^3.95/g3 + (g2*t^4.11)/(g1*g3) + g3^2*t^4.11 + (g1*g3^5*t^4.11)/g2 + g3^5*t^4.27 + t^4.89/g3^2 + (g2*t^5.05)/(g1*g3^2) + (g1*g3^4*t^5.05)/g2 + g3^4*t^5.22 + t^5.34/g3^12 + (g2*t^5.51)/(g1*g3^12) + t^5.51/g3^9 + (g1*t^5.51)/(g2*g3^6) + (g1^2*g2*t^5.61)/g3 + (g3^5*t^5.61)/(g1^2*g2) + (g1^2*t^5.67)/g2^2 + (g2^2*t^5.67)/(g1^2*g3^12) + (g2*t^5.67)/(g1*g3^9) + (3*t^5.67)/g3^6 + (g1*t^5.67)/(g2*g3^3) + (g1*g2^2*t^5.77)/g3 + (g3^11*t^5.77)/(g1*g2^2) + t^5.84/g3^3 - 3*t^6. - (g2*t^6.16)/g1 - (g1*g3^6*t^6.16)/g2 + (g1^2*g2*t^6.55)/g3^2 + (g3^4*t^6.55)/(g1^2*g2) + t^6.62/g3^7 + (g1*g2^2*t^6.72)/g3^2 + (g3^10*t^6.72)/(g1*g2^2) + (g2*t^6.78)/(g1*g3^7) + (2*t^6.78)/g3^4 + (g1*t^6.78)/(g2*g3) + (g2^2*t^6.95)/(g1^2*g3^7) + (2*g2*t^6.95)/(g1*g3^4) + (2*t^6.95)/g3 + (2*g1*g3^2*t^6.95)/g2 + (g1^2*g3^5*t^6.95)/g2^2 + (g2*t^7.11)/(g1*g3) + 2*g3^2*t^7.11 + (g1*g3^5*t^7.11)/g2 + g3^5*t^7.27 + t^7.34/(g1^3*g3^3) + (g1^3*t^7.34)/g3^3 - (g1*g2^2*t^7.5)/g3^6 + (g1^2*g2*t^7.5)/g3^3 + (g3^3*t^7.5)/(g1^2*g2) - (g3^6*t^7.5)/(g1*g2^2) + t^7.56/g3^8 - g1^2*g2*t^7.66 + (g1*g2^2*t^7.66)/g3^3 - (g3^6*t^7.66)/(g1^2*g2) + (g3^9*t^7.66)/(g1*g2^2) + (g2*t^7.73)/(g1*g3^8) + t^7.73/g3^5 + (g1*t^7.73)/(g2*g3^2) + (g2^3*t^7.83)/g3^3 + (g3^15*t^7.83)/g2^3 + (g2^2*t^7.89)/(g1^2*g3^8) + (g2*t^7.89)/(g1*g3^5) + (3*t^7.89)/g3^2 + (g1*g3*t^7.89)/g2 + (g1^2*g3^4*t^7.89)/g2^2 + t^8.02/g3^18 + (2*g2*t^8.05)/(g1*g3^2) + g3*t^8.05 + (2*g1*g3^4*t^8.05)/g2 + (g2*t^8.18)/(g1*g3^18) + t^8.18/g3^15 + (g1*t^8.18)/(g2*g3^12) + (g2^2*t^8.22)/(g1^2*g3^2) + 3*g3^4*t^8.22 + (g1^2*g3^10*t^8.22)/g2^2 + (g2^2*t^8.34)/(g1^2*g3^18) + (g2*t^8.34)/(g1*g3^15) + (3*t^8.34)/g3^12 + (g1*t^8.34)/(g2*g3^9) + (g1^2*t^8.34)/(g2^2*g3^6) + (g2*g3^4*t^8.38)/g1 + (g1*g3^10*t^8.38)/g2 + (g1^2*g2*t^8.45)/g3^4 + (g3^2*t^8.45)/(g1^2*g2) + (g1^3*t^8.51)/g2^3 + (g2^3*t^8.51)/(g1^3*g3^18) + (g2^2*t^8.51)/(g1^2*g3^15) + (2*g2*t^8.51)/(g1*g3^12) + (3*t^8.51)/g3^9 + (2*g1*t^8.51)/(g2*g3^6) + (g1^2*t^8.51)/(g2^2*g3^3) + g3^10*t^8.55 + (g1*g2^2*t^8.61)/g3^4 + (g3^8*t^8.61)/(g1*g2^2) - (2*t^8.67)/g3^6 - (4*g1*t^8.84)/g2 - (4*g2*t^8.84)/(g1*g3^6) - t^8.84/g3^3 + t^8.84/(g3^3*y^2) - t^3.95/(g3*y) - t^4.89/(g3^2*y) - t^6.62/(g3^7*y) - (g2*t^6.78)/(g1*g3^7*y) - t^6.78/(g3^4*y) - (g1*t^6.78)/(g2*g3*y) - t^6.95/(g3*y) - t^7.56/(g3^8*y) - (g2*t^7.73)/(g1*g3^8*y) - t^7.73/(g3^5*y) - (g1*t^7.73)/(g2*g3^2*y) - t^7.89/(g3^2*y) + (g2*t^8.51)/(g1*g3^12*y) + t^8.51/(g3^9*y) + (g1*t^8.51)/(g2*g3^6*y) + (g2*t^8.67)/(g1*g3^9*y) + (2*t^8.67)/(g3^6*y) + (g1*t^8.67)/(g2*g3^3*y) + (g1*t^8.84)/(g2*y) + (g2*t^8.84)/(g1*g3^6*y) - (t^3.95*y)/g3 - (t^4.89*y)/g3^2 - (t^6.62*y)/g3^7 - (g2*t^6.78*y)/(g1*g3^7) - (t^6.78*y)/g3^4 - (g1*t^6.78*y)/(g2*g3) - (t^6.95*y)/g3 - (t^7.56*y)/g3^8 - (g2*t^7.73*y)/(g1*g3^8) - (t^7.73*y)/g3^5 - (g1*t^7.73*y)/(g2*g3^2) - (t^7.89*y)/g3^2 + (g2*t^8.51*y)/(g1*g3^12) + (t^8.51*y)/g3^9 + (g1*t^8.51*y)/(g2*g3^6) + (g2*t^8.67*y)/(g1*g3^9) + (2*t^8.67*y)/g3^6 + (g1*t^8.67*y)/(g2*g3^3) + (g1*t^8.84*y)/g2 + (g2*t^8.84*y)/(g1*g3^6) + (t^8.84*y^2)/g3^3 |
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 |
---|---|---|---|---|---|---|---|---|---|
57618 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ | 1.4548 | 1.6393 | 0.8875 | [X:[1.3497], M:[0.9755, 0.9755], q:[0.5, 0.5245], qb:[0.5, 0.5245], phi:[0.3252]] | 3*t^2.93 + t^3. + t^3.15 + t^3.98 + 3*t^4.05 + t^4.12 + t^4.95 + 2*t^5.02 + t^5.1 + 2*t^5.55 + 2*t^5.62 + 6*t^5.85 + t^5.93 - 3*t^6. - t^3.98/y - t^4.95/y - t^3.98*y - t^4.95*y | detail |