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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57962 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ | 1.4417 | 1.6343 | 0.8821 | [X:[1.3815], M:[0.7731, 1.0824, 0.7731], q:[0.4588, 0.6134], qb:[0.4588, 0.6134], phi:[0.3092]] | [X:[[0, 0, 4]], M:[[0, 0, -5], [0, 0, -7], [0, 0, -5]], q:[[-1, 0, 7], [0, -1, 5]], qb:[[1, 0, 0], [0, 1, 0]], phi:[[0, 0, -2]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{1}$, ${ }M_{3}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{3}$, ${ }M_{3}\phi_{1}^{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ | -2 | 2*t^2.32 + t^2.78 + 2*t^3.22 + t^3.25 + 3*t^4.14 + 2*t^4.61 + 3*t^4.64 + 2*t^5.07 + 2*t^5.1 + 2*t^5.52 + 3*t^5.54 + 3*t^5.57 + 2*t^5.98 - 2*t^6. + t^6.03 + 3*t^6.43 + 2*t^6.45 + 4*t^6.46 + t^6.49 + 4*t^6.91 + 4*t^6.93 + 4*t^6.96 + 6*t^7.36 + 5*t^7.39 + 3*t^7.42 + 3*t^7.83 + 2*t^7.84 + 6*t^7.86 + 5*t^7.89 + 7*t^8.29 + 2*t^8.3 - 4*t^8.32 + 3*t^8.35 + 4*t^8.74 + 8*t^8.75 + 5*t^8.78 + 3*t^8.81 + t^8.78/y^2 - t^3.93/y - t^4.86/y - (2*t^6.25)/y - t^6.71/y - (2*t^7.14)/y - (3*t^7.17)/y + t^7.61/y - (2*t^8.07)/y + t^8.1/y + (4*t^8.54)/y - t^8.57/y - t^3.93*y - t^4.86*y - 2*t^6.25*y - t^6.71*y - 2*t^7.14*y - 3*t^7.17*y + t^7.61*y - 2*t^8.07*y + t^8.1*y + 4*t^8.54*y - t^8.57*y + t^8.78*y^2 | (2*t^2.32)/g3^5 + t^2.78/g3^6 + (g1*g3^5*t^3.22)/g2 + (g2*g3^7*t^3.22)/g1 + t^3.25/g3^7 + (g1*g3^3*t^4.14)/g2 + g3^4*t^4.14 + (g2*g3^5*t^4.14)/g1 + 2*g3^3*t^4.61 + (3*t^4.64)/g3^10 + (g1*g3*t^5.07)/g2 + (g2*g3^3*t^5.07)/g1 + (2*t^5.1)/g3^11 + (g1^2*g2*t^5.52)/g3^2 + (g3^17*t^5.52)/(g1^2*g2) + (g1*t^5.54)/g2 + g3*t^5.54 + (g2*g3^2*t^5.54)/g1 + (3*t^5.57)/g3^12 + (g1*g2^2*t^5.98)/g3^2 + (g3^15*t^5.98)/(g1*g2^2) - 4*t^6. + (g1*t^6.)/(g2*g3) + (g2*g3*t^6.)/g1 + t^6.03/g3^13 + (g1^2*g3^10*t^6.43)/g2^2 + g3^12*t^6.43 + (g2^2*g3^14*t^6.43)/g1^2 + (g1^2*g2*t^6.45)/g3^4 + (g3^15*t^6.45)/(g1^2*g2) + (g2*t^6.46)/g1 + (g1*t^6.46)/(g2*g3^2) + (2*t^6.46)/g3 + t^6.49/g3^14 + (g1^3*t^6.91)/g3^6 + (g1*g2^2*t^6.91)/g3^4 + (g3^13*t^6.91)/(g1*g2^2) + (g3^15*t^6.91)/g1^3 + (g1*t^6.93)/(g2*g3^3) + (2*t^6.93)/g3^2 + (g2*t^6.93)/(g1*g3) + (4*t^6.96)/g3^15 + (g1^2*g3^8*t^7.36)/g2^2 + (g1*g3^9*t^7.36)/g2 + 2*g3^10*t^7.36 + (g2*g3^11*t^7.36)/g1 + (g2^2*g3^12*t^7.36)/g1^2 + (g1^2*g2*t^7.38)/g3^6 - (g1*g2^2*t^7.38)/g3^5 - (g3^12*t^7.38)/(g1*g2^2) + (g3^13*t^7.38)/(g1^2*g2) + (g1*t^7.39)/(g2*g3^4) + (3*t^7.39)/g3^3 + (g2*t^7.39)/(g1*g3^2) + (3*t^7.42)/g3^16 + (2*g1*g3^8*t^7.83)/g2 - g3^9*t^7.83 + (2*g2*g3^10*t^7.83)/g1 + (g1*g2^2*t^7.84)/g3^6 + (g3^11*t^7.84)/(g1*g2^2) + (2*g1*t^7.86)/(g2*g3^5) + (2*t^7.86)/g3^4 + (2*g2*t^7.86)/(g1*g3^3) + (5*t^7.89)/g3^17 + (2*g1^2*g3^6*t^8.29)/g2^2 + 3*g3^8*t^8.29 + (2*g2^2*g3^10*t^8.29)/g1^2 - (g1^3*t^8.3)/g3^9 + (g1^2*g2*t^8.3)/g3^8 + (g2^3*t^8.3)/g3^6 + (g3^9*t^8.3)/g2^3 + (g3^11*t^8.3)/(g1^2*g2) - (g3^12*t^8.3)/g1^3 + (g1*t^8.32)/(g2*g3^6) - (6*t^8.32)/g3^5 + (g2*t^8.32)/(g1*g3^4) + (3*t^8.35)/g3^18 + g1^3*g3^3*t^8.74 + g1*g2^2*g3^5*t^8.74 + (g3^22*t^8.74)/(g1*g2^2) + (g3^24*t^8.74)/g1^3 + (g1^2*g3^5*t^8.75)/g2^2 + (3*g1*g3^6*t^8.75)/g2 + (3*g2*g3^8*t^8.75)/g1 + (g2^2*g3^9*t^8.75)/g1^2 + (g1*g2^2*t^8.77)/g3^8 - (g2^3*t^8.77)/g3^7 - (g3^8*t^8.77)/g2^3 + (g3^9*t^8.77)/(g1*g2^2) + (2*g1*t^8.78)/(g2*g3^7) + t^8.78/g3^6 + (2*g2*t^8.78)/(g1*g3^5) + (3*t^8.81)/g3^19 + t^8.78/(g3^6*y^2) - t^3.93/(g3^2*y) - t^4.86/(g3^4*y) - (2*t^6.25)/(g3^7*y) - t^6.71/(g3^8*y) - (g1*g3^3*t^7.14)/(g2*y) - (g2*g3^5*t^7.14)/(g1*y) - (3*t^7.17)/(g3^9*y) + (g3^3*t^7.61)/y - (g1*g3*t^8.07)/(g2*y) - (g2*g3^3*t^8.07)/(g1*y) + t^8.1/(g3^11*y) + (2*g1*t^8.54)/(g2*y) + (2*g2*g3^2*t^8.54)/(g1*y) - t^8.57/(g3^12*y) - (t^3.93*y)/g3^2 - (t^4.86*y)/g3^4 - (2*t^6.25*y)/g3^7 - (t^6.71*y)/g3^8 - (g1*g3^3*t^7.14*y)/g2 - (g2*g3^5*t^7.14*y)/g1 - (3*t^7.17*y)/g3^9 + g3^3*t^7.61*y - (g1*g3*t^8.07*y)/g2 - (g2*g3^3*t^8.07*y)/g1 + (t^8.1*y)/g3^11 + (2*g1*t^8.54*y)/g2 + (2*g2*g3^2*t^8.54*y)/g1 - (t^8.57*y)/g3^12 + (t^8.78*y^2)/g3^6 |
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 |
---|---|---|---|---|---|---|---|---|---|
57304 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ | 1.4239 | 1.604 | 0.8878 | [X:[1.3732], M:[0.7835, 1.0969], q:[0.4515, 0.6082], qb:[0.4515, 0.6082], phi:[0.3134]] | t^2.351 + t^2.821 + 2*t^3.179 + t^3.291 + t^3.649 + 3*t^4.12 + 2*t^4.59 + t^4.701 + 2*t^5.06 + t^5.171 + 2*t^5.474 + t^5.53 + 2*t^5.641 + 2*t^5.944 - t^6. - t^3.94/y - t^4.88/y - t^3.94*y - t^4.88*y | detail |