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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56176 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{6}$ + ${ }M_{1}^{2}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ | 0.715 | 0.8847 | 0.8082 | [M:[1.0, 1.0479, 0.9042, 0.8564, 1.0479, 0.9521, 0.8564], q:[0.4042, 0.5958], qb:[0.5479, 0.5479], phi:[0.4761]] | [M:[[0], [2], [-4], [-6], [2], [-2], [-6]], q:[[-4], [4]], qb:[[2], [2]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{4}$, ${ }M_{7}$, ${ }M_{3}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{7}$, ${ }M_{3}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{6}$, ${ }M_{1}\phi_{1}^{2}$ | ${}M_{2}\phi_{1}^{2}$ | -3 | 2*t^2.569 + t^2.713 + 2*t^2.856 + t^3. + t^3.144 + t^3.854 + 2*t^4.285 + t^4.428 + 3*t^4.715 + 2*t^4.859 + t^5.003 + 3*t^5.138 + 2*t^5.282 + 4*t^5.425 + 2*t^5.569 + 6*t^5.713 + t^5.856 - 3*t^6. - t^6.144 + 2*t^6.423 - 2*t^6.431 + t^6.566 - t^6.575 + 2*t^6.71 + 4*t^6.854 + 2*t^6.997 + 4*t^7.141 + 6*t^7.285 + 3*t^7.428 + 6*t^7.572 + 5*t^7.707 + 3*t^7.715 + 3*t^7.851 + 6*t^7.995 + 5*t^8.138 - 2*t^8.146 + 10*t^8.282 - t^8.29 + 2*t^8.425 + t^8.569 - 2*t^8.713 - 7*t^8.856 + 3*t^8.992 - t^4.428/y - (2*t^6.997)/y - t^7.141/y + t^7.715/y + (2*t^7.859)/y + t^8.138/y + (2*t^8.282)/y + (4*t^8.425)/y + (4*t^8.569)/y + (4*t^8.713)/y + (3*t^8.856)/y - t^4.428*y - 2*t^6.997*y - t^7.141*y + t^7.715*y + 2*t^7.859*y + t^8.138*y + 2*t^8.282*y + 4*t^8.425*y + 4*t^8.569*y + 4*t^8.713*y + 3*t^8.856*y | (2*t^2.569)/g1^6 + t^2.713/g1^4 + (2*t^2.856)/g1^2 + t^3. + g1^2*t^3.144 + t^3.854/g1^9 + (2*t^4.285)/g1^3 + t^4.428/g1 + 3*g1^3*t^4.715 + 2*g1^5*t^4.859 + g1^7*t^5.003 + (3*t^5.138)/g1^12 + (2*t^5.282)/g1^10 + (4*t^5.425)/g1^8 + (2*t^5.569)/g1^6 + (6*t^5.713)/g1^4 + t^5.856/g1^2 - 3*t^6. - g1^2*t^6.144 + (2*t^6.423)/g1^15 - 2*g1^6*t^6.431 + t^6.566/g1^13 - g1^8*t^6.575 + (2*t^6.71)/g1^11 + (4*t^6.854)/g1^9 + (2*t^6.997)/g1^7 + (4*t^7.141)/g1^5 + (6*t^7.285)/g1^3 + (3*t^7.428)/g1 + 6*g1*t^7.572 + (5*t^7.707)/g1^18 + 3*g1^3*t^7.715 + (3*t^7.851)/g1^16 + (6*t^7.995)/g1^14 + (5*t^8.138)/g1^12 - 2*g1^9*t^8.146 + (10*t^8.282)/g1^10 - g1^11*t^8.29 + (2*t^8.425)/g1^8 + t^8.569/g1^6 - (2*t^8.713)/g1^4 - (7*t^8.856)/g1^2 + (3*t^8.992)/g1^21 - t^4.428/(g1*y) - (2*t^6.997)/(g1^7*y) - t^7.141/(g1^5*y) + (g1^3*t^7.715)/y + (2*g1^5*t^7.859)/y + t^8.138/(g1^12*y) + (2*t^8.282)/(g1^10*y) + (4*t^8.425)/(g1^8*y) + (4*t^8.569)/(g1^6*y) + (4*t^8.713)/(g1^4*y) + (3*t^8.856)/(g1^2*y) - (t^4.428*y)/g1 - (2*t^6.997*y)/g1^7 - (t^7.141*y)/g1^5 + g1^3*t^7.715*y + 2*g1^5*t^7.859*y + (t^8.138*y)/g1^12 + (2*t^8.282*y)/g1^10 + (4*t^8.425*y)/g1^8 + (4*t^8.569*y)/g1^6 + (4*t^8.713*y)/g1^4 + (3*t^8.856*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 |
---|---|---|---|---|---|---|---|---|---|
50786 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{6}$ + ${ }M_{1}^{2}$ | 0.7037 | 0.8634 | 0.8151 | [M:[1.0, 1.0362, 0.9275, 0.8913, 1.0362, 0.9638], q:[0.4275, 0.5725], qb:[0.5362, 0.5362], phi:[0.4819]] | t^2.674 + t^2.783 + 2*t^2.891 + t^3. + t^3.109 + t^3.326 + t^4.011 + 2*t^4.337 + t^4.446 + 3*t^4.663 + 2*t^4.772 + t^4.88 + t^5.348 + t^5.457 + 2*t^5.565 + t^5.674 + 5*t^5.783 + t^5.891 - 2*t^6. - t^4.446/y - t^4.446*y | detail |