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 |
---|---|---|---|---|---|---|---|---|---|
58405 | SU3adj1nf2 | ${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ | 1.3198 | 1.566 | 0.8428 | [X:[], M:[0.8611, 1.2], q:[0.4375, 0.5812], qb:[0.3014, 0.2798], phi:[0.4]] | [X:[], M:[[1, 2], [0, 0]], q:[[-2, -2], [1, 1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}\tilde{q}_{2}^{3}$ | ${2}\phi_{1}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ 2}\phi_{1}q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$ | 1 | t^2.15 + t^2.22 + 2*t^2.58 + t^2.65 + t^3.35 + 2*t^3.6 + 2*t^3.78 + 2*t^3.85 + t^4.3 + t^4.37 + t^4.43 + t^4.55 + t^4.62 + 2*t^4.74 + 3*t^4.8 + t^4.86 + 2*t^4.98 + 2*t^5.05 + 3*t^5.17 + 2*t^5.23 + t^5.3 + t^5.5 + t^5.57 + 2*t^5.75 + 2*t^5.82 + 3*t^5.94 + t^6. + t^6.06 + t^6.12 + 5*t^6.18 + 3*t^6.25 + t^6.31 + 4*t^6.37 + 4*t^6.43 + t^6.46 + 2*t^6.5 + t^6.52 + t^6.59 + t^6.65 + 2*t^6.7 + 2*t^6.77 + t^6.83 + 2*t^6.89 + 4*t^6.95 + 2*t^7.02 + t^7.08 + 4*t^7.14 + 6*t^7.2 + t^7.26 + 3*t^7.32 + 7*t^7.38 + 5*t^7.45 + t^7.51 + t^7.54 + 6*t^7.57 + 6*t^7.63 + t^7.66 + 4*t^7.7 + t^7.72 + 4*t^7.75 + t^7.79 + 3*t^7.81 + 2*t^7.88 + 3*t^7.9 + t^7.94 + 3*t^7.97 + 2*t^8.03 + 3*t^8.09 + 2*t^8.15 + t^8.27 + t^8.28 + 7*t^8.34 + 8*t^8.4 + 3*t^8.46 + 4*t^8.52 + t^8.53 + 2*t^8.58 + t^8.61 + 2*t^8.65 + t^8.67 + 2*t^8.7 + t^8.74 + 11*t^8.77 + t^8.8 + 11*t^8.83 + 2*t^8.86 + t^8.87 + 7*t^8.9 + 2*t^8.92 + 6*t^8.95 + t^8.96 + t^8.99 - t^4.2/y - t^5.4/y - t^6.35/y - t^6.42/y - (2*t^6.78)/y - t^6.85/y + t^7.37/y - t^7.55/y + (2*t^7.74)/y + (2*t^7.8)/y + t^7.86/y - (2*t^7.98)/y - t^8.05/y + t^8.17/y + (2*t^8.23)/y - t^8.63/y + t^8.75/y + (2*t^8.82)/y + (2*t^8.94)/y - t^4.2*y - t^5.4*y - t^6.35*y - t^6.42*y - 2*t^6.78*y - t^6.85*y + t^7.37*y - t^7.55*y + 2*t^7.74*y + 2*t^7.8*y + t^7.86*y - 2*t^7.98*y - t^8.05*y + t^8.17*y + 2*t^8.23*y - t^8.63*y + t^8.75*y + 2*t^8.82*y + 2*t^8.94*y | t^2.15/(g1^2*g2) + t^2.22/(g1*g2^2) + 2*g1*g2^2*t^2.58 + g1^2*g2*t^2.65 + t^3.35/(g1^2*g2) + 2*t^3.6 + 2*g1*g2^2*t^3.78 + 2*g1^2*g2*t^3.85 + t^4.3/(g1^4*g2^2) + t^4.37/(g1^3*g2^3) + t^4.43/(g1^2*g2^4) + t^4.55/(g1^2*g2) + t^4.62/(g1*g2^2) + (2*g2*t^4.74)/g1 + 3*t^4.8 + (g1*t^4.86)/g2 + 2*g1*g2^2*t^4.98 + 2*g1^2*g2*t^5.05 + 3*g1^2*g2^4*t^5.17 + 2*g1^3*g2^3*t^5.23 + g1^4*g2^2*t^5.3 + t^5.5/(g1^4*g2^2) + t^5.57/(g1^3*g2^3) + (2*t^5.75)/(g1^2*g2) + (2*t^5.82)/(g1*g2^2) + (3*g2*t^5.94)/g1 + t^6. + (g1*t^6.06)/g2 + g2^3*t^6.12 + 5*g1*g2^2*t^6.18 + 3*g1^2*g2*t^6.25 + g1^3*t^6.31 + 4*g1^2*g2^4*t^6.37 + 4*g1^3*g2^3*t^6.43 + t^6.46/(g1^6*g2^3) + 2*g1^4*g2^2*t^6.5 + t^6.52/(g1^5*g2^4) + t^6.59/(g1^4*g2^5) + t^6.65/(g1^3*g2^6) + (2*t^6.7)/(g1^4*g2^2) + (2*t^6.77)/(g1^3*g2^3) + t^6.83/(g1^2*g2^4) + (2*t^6.89)/g1^3 + (4*t^6.95)/(g1^2*g2) + (2*t^7.02)/(g1*g2^2) + t^7.08/g2^3 + (4*g2*t^7.14)/g1 + 6*t^7.2 + (g1*t^7.26)/g2 + 3*g2^3*t^7.32 + 7*g1*g2^2*t^7.38 + 5*g1^2*g2*t^7.45 + g1^3*t^7.51 + t^7.54/(g1^6*g2^6) + 6*g1^2*g2^4*t^7.57 + 6*g1^3*g2^3*t^7.63 + t^7.66/(g1^6*g2^3) + 4*g1^4*g2^2*t^7.7 + t^7.72/(g1^5*g2^4) + 4*g1^3*g2^6*t^7.75 + t^7.79/(g1^4*g2^5) + 3*g1^4*g2^5*t^7.81 + 2*g1^5*g2^4*t^7.88 + (3*t^7.9)/(g1^4*g2^2) + g1^6*g2^3*t^7.94 + (3*t^7.97)/(g1^3*g2^3) + (2*t^8.03)/(g1^2*g2^4) + (3*t^8.09)/g1^3 + (2*t^8.15)/(g1^2*g2) + (g2^2*t^8.27)/g1^2 + t^8.28/g2^3 + (7*g2*t^8.34)/g1 + 8*t^8.4 + (3*g1*t^8.46)/g2 + 4*g2^3*t^8.52 + (g1^2*t^8.53)/g2^2 + 2*g1*g2^2*t^8.58 + t^8.61/(g1^8*g2^4) + 2*g1^2*g2*t^8.65 + t^8.67/(g1^7*g2^5) + 2*g1*g2^5*t^8.7 + t^8.74/(g1^6*g2^6) + 11*g1^2*g2^4*t^8.77 + t^8.8/(g1^5*g2^7) + 11*g1^3*g2^3*t^8.83 + (2*t^8.86)/(g1^6*g2^3) + t^8.87/(g1^4*g2^8) + 7*g1^4*g2^2*t^8.9 + (2*t^8.92)/(g1^5*g2^4) + 6*g1^3*g2^6*t^8.95 + g1^5*g2*t^8.96 + t^8.99/(g1^4*g2^5) - t^4.2/y - t^5.4/y - t^6.35/(g1^2*g2*y) - t^6.42/(g1*g2^2*y) - (2*g1*g2^2*t^6.78)/y - (g1^2*g2*t^6.85)/y + t^7.37/(g1^3*g2^3*y) - t^7.55/(g1^2*g2*y) + (2*g2*t^7.74)/(g1*y) + (2*t^7.8)/y + (g1*t^7.86)/(g2*y) - (2*g1*g2^2*t^7.98)/y - (g1^2*g2*t^8.05)/y + (g1^2*g2^4*t^8.17)/y + (2*g1^3*g2^3*t^8.23)/y - t^8.63/(g1^2*g2^4*y) + t^8.75/(g1^2*g2*y) + (2*t^8.82)/(g1*g2^2*y) + (2*g2*t^8.94)/(g1*y) - t^4.2*y - t^5.4*y - (t^6.35*y)/(g1^2*g2) - (t^6.42*y)/(g1*g2^2) - 2*g1*g2^2*t^6.78*y - g1^2*g2*t^6.85*y + (t^7.37*y)/(g1^3*g2^3) - (t^7.55*y)/(g1^2*g2) + (2*g2*t^7.74*y)/g1 + 2*t^7.8*y + (g1*t^7.86*y)/g2 - 2*g1*g2^2*t^7.98*y - g1^2*g2*t^8.05*y + g1^2*g2^4*t^8.17*y + 2*g1^3*g2^3*t^8.23*y - (t^8.63*y)/(g1^2*g2^4) + (t^8.75*y)/(g1^2*g2) + (2*t^8.82*y)/(g1*g2^2) + (2*g2*t^8.94*y)/g1 |
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 |
---|---|---|---|---|---|---|---|---|
61261 | ${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}q_{1}\tilde{q}_{2}$ | 1.3313 | 1.5863 | 0.8393 | [X:[], M:[0.8604, 1.2, 0.8604], q:[0.4528, 0.5736], qb:[0.2868, 0.2868], phi:[0.4]] | 2*t^2.22 + 4*t^2.58 + 2*t^3.6 + 4*t^3.78 + 3*t^4.44 + 2*t^4.62 + 8*t^4.8 + 4*t^4.98 + 10*t^5.16 + 4*t^5.82 + 2*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail |
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 |
---|---|---|---|---|---|---|---|---|---|
57344 | SU3adj1nf2 | ${}\phi_{1}^{5}$ + ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ | 1.3363 | 1.595 | 0.8378 | [M:[0.8611], q:[0.4375, 0.5812], qb:[0.3014, 0.2798], phi:[0.4]] | t^2.152 + t^2.217 + t^2.4 + 2*t^2.583 + t^2.648 + t^3.352 + t^3.6 + 2*t^3.783 + 2*t^3.848 + t^4.304 + t^4.369 + t^4.434 + 2*t^4.552 + 2*t^4.617 + 2*t^4.735 + 4*t^4.8 + t^4.865 + 4*t^4.983 + 3*t^5.048 + 3*t^5.166 + 2*t^5.231 + t^5.296 + t^5.504 + t^5.569 + 2*t^5.752 + t^5.817 + 3*t^5.935 + 2*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail |