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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58851 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ | 1.4522 | 1.64 | 0.8855 | [X:[1.3675], M:[0.8974, 0.8932], q:[0.4373, 0.5442], qb:[0.5627, 0.5585], phi:[0.3162]] | [X:[[0, 4]], M:[[0, -12], [3, -13]], q:[[1, -1], [-2, 12]], qb:[[-1, 1], [2, 0]], phi:[[0, -2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}^{2}$, ${ }M_{2}\phi_{1}^{3}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{6}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}$ | -2 | t^2.68 + t^2.69 + t^2.85 + t^2.99 + t^3. + t^3.94 + t^3.95 + t^4.1 + t^4.26 + t^4.27 + t^4.88 + t^4.9 + 2*t^5.21 + t^5.22 + t^5.36 + t^5.37 + t^5.38 + 2*t^5.53 + t^5.54 + t^5.67 + t^5.68 + 2*t^5.69 + t^5.83 + t^5.85 + t^5.97 + t^5.99 - 2*t^6. - t^6.01 + t^6.15 - t^6.32 + t^6.47 + t^6.62 + t^6.63 + t^6.64 + 3*t^6.78 + 2*t^6.79 + t^6.92 + 3*t^6.94 + 2*t^6.95 + t^7.09 + 3*t^7.1 + t^7.12 + t^7.24 + t^7.26 - t^7.27 + t^7.42 + t^7.56 + t^7.58 + t^7.59 + 2*t^7.74 + 3*t^7.87 + 4*t^7.88 + 3*t^7.9 + t^7.91 + t^8.04 + 2*t^8.05 + 2*t^8.06 + t^8.08 + 3*t^8.19 + 5*t^8.21 + t^8.22 + t^8.23 + t^8.35 + t^8.36 + 3*t^8.37 + 2*t^8.38 + 3*t^8.51 + 2*t^8.53 + 2*t^8.54 + t^8.65 - 2*t^8.68 - 2*t^8.69 - t^8.7 + 2*t^8.82 + 3*t^8.83 - t^8.86 + t^8.96 + t^8.97 - 3*t^8.99 + t^8.85/y^2 - t^3.95/y - t^4.9/y - t^6.63/y - t^6.64/y - t^6.79/y - t^6.94/y - t^6.95/y - t^7.58/y - t^7.59/y - t^7.74/y - t^7.88/y - t^7.9/y + t^8.37/y + t^8.53/y + t^8.54/y + t^8.67/y + (2*t^8.68)/y + t^8.69/y + t^8.99/y - t^3.95*y - t^4.9*y - t^6.63*y - t^6.64*y - t^6.79*y - t^6.94*y - t^6.95*y - t^7.58*y - t^7.59*y - t^7.74*y - t^7.88*y - t^7.9*y + t^8.37*y + t^8.53*y + t^8.54*y + t^8.67*y + 2*t^8.68*y + t^8.69*y + t^8.99*y + t^8.85*y^2 | (g1^3*t^2.68)/g2^13 + t^2.69/g2^12 + t^2.85/g2^6 + (g1^3*t^2.99)/g2 + t^3. + (g1^3*t^3.94)/g2^3 + t^3.95/g2^2 + g2^4*t^4.1 + g2^10*t^4.26 + (g2^11*t^4.27)/g1^3 + (g1^3*t^4.88)/g2^5 + t^4.9/g2^4 + 2*g2^8*t^5.21 + (g2^9*t^5.22)/g1^3 + (g1^6*t^5.36)/g2^26 + (g1^3*t^5.37)/g2^25 + t^5.38/g2^24 + (g1^3*t^5.53)/g2^19 + (g2^21*t^5.53)/g1^3 + t^5.54/g2^18 + (g1^6*t^5.67)/g2^14 + (g1^3*t^5.68)/g2^13 + (2*t^5.69)/g2^12 + (g1^3*t^5.83)/g2^7 + t^5.85/g2^6 + (g1^6*t^5.97)/g2^2 + (g1^3*t^5.99)/g2 - 2*t^6. - (g2*t^6.01)/g1^3 + g2^6*t^6.15 - (g2^13*t^6.32)/g1^3 + (g2^19*t^6.47)/g1^3 + (g1^6*t^6.62)/g2^16 + (g1^3*t^6.63)/g2^15 + t^6.64/g2^14 + (3*g1^3*t^6.78)/g2^9 + (2*t^6.79)/g2^8 + (g1^6*t^6.92)/g2^4 + (3*g1^3*t^6.94)/g2^3 + (2*t^6.95)/g2^2 + g1^3*g2^3*t^7.09 + 3*g2^4*t^7.1 + (g2^5*t^7.12)/g1^3 + g1^3*g2^9*t^7.24 + g2^10*t^7.26 - (g2^11*t^7.27)/g1^3 + (g2^17*t^7.42)/g1^3 + (g1^6*t^7.56)/g2^18 + (g1^3*t^7.58)/g2^17 + t^7.59/g2^16 + t^7.74/g2^10 + (g2^30*t^7.74)/g1^6 + (3*g1^6*t^7.87)/g2^6 + (4*g1^3*t^7.88)/g2^5 + (3*t^7.9)/g2^4 + t^7.91/(g1^3*g2^3) + (g1^9*t^8.04)/g2^39 + (g1^6*t^8.05)/g2^38 + g2^2*t^8.05 + (g1^3*t^8.06)/g2^37 + (g2^3*t^8.06)/g1^3 + t^8.08/g2^36 + 3*g1^3*g2^7*t^8.19 + (g1^6*t^8.21)/g2^32 + 4*g2^8*t^8.21 + (g1^3*t^8.22)/g2^31 + t^8.23/g2^30 + (g1^9*t^8.35)/g2^27 + (g1^6*t^8.36)/g2^26 + (2*g1^3*t^8.37)/g2^25 + (g2^15*t^8.37)/g1^3 + (2*t^8.38)/g2^24 + (g1^6*t^8.51)/g2^20 + 2*g2^20*t^8.51 + (g1^3*t^8.53)/g2^19 + (g2^21*t^8.53)/g1^3 + (2*t^8.54)/g2^18 + (g1^9*t^8.65)/g2^15 - (2*g1^3*t^8.68)/g2^13 - (2*t^8.69)/g2^12 - t^8.7/(g1^3*g2^11) + (2*g1^6*t^8.82)/g2^8 + (3*g1^3*t^8.83)/g2^7 - t^8.86/(g1^3*g2^5) + (g1^9*t^8.96)/g2^3 + (g1^6*t^8.97)/g2^2 - (3*g1^3*t^8.99)/g2 + t^8.85/(g2^6*y^2) - t^3.95/(g2^2*y) - t^4.9/(g2^4*y) - (g1^3*t^6.63)/(g2^15*y) - t^6.64/(g2^14*y) - t^6.79/(g2^8*y) - (g1^3*t^6.94)/(g2^3*y) - t^6.95/(g2^2*y) - (g1^3*t^7.58)/(g2^17*y) - t^7.59/(g2^16*y) - t^7.74/(g2^10*y) - (g1^3*t^7.88)/(g2^5*y) - t^7.9/(g2^4*y) + (g1^3*t^8.37)/(g2^25*y) + (g1^3*t^8.53)/(g2^19*y) + t^8.54/(g2^18*y) + (g1^6*t^8.67)/(g2^14*y) + (2*g1^3*t^8.68)/(g2^13*y) + t^8.69/(g2^12*y) + (g1^3*t^8.99)/(g2*y) - (t^3.95*y)/g2^2 - (t^4.9*y)/g2^4 - (g1^3*t^6.63*y)/g2^15 - (t^6.64*y)/g2^14 - (t^6.79*y)/g2^8 - (g1^3*t^6.94*y)/g2^3 - (t^6.95*y)/g2^2 - (g1^3*t^7.58*y)/g2^17 - (t^7.59*y)/g2^16 - (t^7.74*y)/g2^10 - (g1^3*t^7.88*y)/g2^5 - (t^7.9*y)/g2^4 + (g1^3*t^8.37*y)/g2^25 + (g1^3*t^8.53*y)/g2^19 + (t^8.54*y)/g2^18 + (g1^6*t^8.67*y)/g2^14 + (2*g1^3*t^8.68*y)/g2^13 + (t^8.69*y)/g2^12 + (g1^3*t^8.99*y)/g2 + (t^8.85*y^2)/g2^6 |
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 |
---|---|---|---|---|---|---|---|---|---|
57591 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1.4443 | 1.6268 | 0.8878 | [X:[1.3603], M:[0.9191], q:[0.4451, 0.5106], qb:[0.5549, 0.5703], phi:[0.3199]] | t^2.76 + t^2.88 + t^3. + t^3.05 + t^3.2 + t^3.96 + t^4.01 + t^4.08 + t^4.16 + t^4.2 + t^4.92 + t^4.97 + t^5.12 + 2*t^5.16 + t^5.36 + t^5.51 + t^5.64 + 2*t^5.76 + t^5.88 + t^5.92 - 2*t^6. - t^3.96/y - t^4.92/y - t^3.96*y - t^4.92*y | detail |