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 |
---|---|---|---|---|---|---|---|---|---|
46572 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.7014 | 0.8528 | 0.8224 | [M:[1.0, 1.0, 1.0, 0.8973, 1.0514], q:[0.4486, 0.5514], qb:[0.5514, 0.5514], phi:[0.4743]] | [M:[[-2, 1], [0, 0], [2, -1], [-4, 0], [2, 0]], q:[[-2, 0], [4, -1]], qb:[[2, 0], [0, 1]], phi:[[-1, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$ | ${}M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ | -2 | t^2.692 + 3*t^3. + t^3.154 + 2*t^3.308 + t^4.115 + 3*t^4.423 + 6*t^4.731 + t^5.384 + t^5.846 - 2*t^6. + 3*t^6.154 + 3*t^6.308 + 2*t^6.462 + 3*t^6.616 + t^6.807 + 3*t^7.115 + 5*t^7.423 + 12*t^7.731 + 9*t^8.039 + t^8.075 + t^8.23 + 4*t^8.538 - 5*t^8.692 + 6*t^8.846 - t^4.423/y - t^7.115/y + t^7.731/y + (3*t^8.692)/y + t^8.846/y - t^4.423*y - t^7.115*y + t^7.731*y + 3*t^8.692*y + t^8.846*y | t^2.692/g1^4 + t^3. + (g1^2*t^3.)/g2 + (g2*t^3.)/g1^2 + g1^2*t^3.154 + (g1^6*t^3.308)/g2 + g1^2*g2*t^3.308 + t^4.115/g1^5 + t^4.423/g1 + (g1*t^4.423)/g2 + (g2*t^4.423)/g1^3 + 2*g1^3*t^4.731 + (g1^7*t^4.731)/g2^2 + (g1^5*t^4.731)/g2 + g1*g2*t^4.731 + (g2^2*t^4.731)/g1 + t^5.384/g1^8 + t^5.846/g1^2 - 2*t^6. + g1^2*t^6.154 + (g1^4*t^6.154)/g2 + g2*t^6.154 + g1^4*t^6.308 + (g1^8*t^6.308)/g2^2 + g2^2*t^6.308 + (g1^8*t^6.462)/g2 + g1^4*g2*t^6.462 + g1^8*t^6.616 + (g1^12*t^6.616)/g2^2 + g1^4*g2^2*t^6.616 + t^6.807/g1^9 + t^7.115/g1^5 + t^7.115/(g1^3*g2) + (g2*t^7.115)/g1^7 + t^7.423/g1 + (g1^3*t^7.423)/g2^2 + (g1*t^7.423)/g2 + (g2*t^7.423)/g1^3 + (g2^2*t^7.423)/g1^5 + 2*g1^3*t^7.731 + (g1^9*t^7.731)/g2^3 + (2*g1^7*t^7.731)/g2^2 + (2*g1^5*t^7.731)/g2 + 2*g1*g2*t^7.731 + (2*g2^2*t^7.731)/g1 + (g2^3*t^7.731)/g1^3 + g1^7*t^8.039 + (g1^13*t^8.039)/g2^3 + (g1^11*t^8.039)/g2^2 + (2*g1^9*t^8.039)/g2 + 2*g1^5*g2*t^8.039 + g1^3*g2^2*t^8.039 + g1*g2^3*t^8.039 + t^8.075/g1^12 + t^8.23/g1^10 + (2*t^8.538)/g1^6 + t^8.538/(g1^4*g2) + (g2*t^8.538)/g1^8 - (3*t^8.692)/g1^4 - t^8.692/(g1^2*g2) - (g2*t^8.692)/g1^6 + (2*t^8.846)/g1^2 + (g1^2*t^8.846)/g2^2 + t^8.846/g2 + (g2*t^8.846)/g1^4 + (g2^2*t^8.846)/g1^6 - t^4.423/(g1*y) - t^7.115/(g1^5*y) + (g1^3*t^7.731)/y + t^8.692/(g1^4*y) + t^8.692/(g1^2*g2*y) + (g2*t^8.692)/(g1^6*y) + t^8.846/(g1^2*y) - (t^4.423*y)/g1 - (t^7.115*y)/g1^5 + g1^3*t^7.731*y + (t^8.692*y)/g1^4 + (t^8.692*y)/(g1^2*g2) + (g2*t^8.692*y)/g1^6 + (t^8.846*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 |
---|---|---|---|---|---|---|---|---|
48161 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6511 | 0.7974 | 0.8166 | [M:[1.1698, 1.0, 0.8302, 0.7862, 1.1069], q:[0.3931, 0.4371], qb:[0.6069, 0.7767], phi:[0.4465]] | t^2.358 + t^2.491 + t^3. + t^3.132 + t^3.321 + t^3.509 + t^3.698 + t^3.83 + t^3.962 + t^4.151 + t^4.34 + t^4.472 + t^4.717 + t^4.849 + 2*t^4.981 + t^5.491 + t^5.623 + t^5.679 + t^5.811 - t^6. - t^4.34/y - t^4.34*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 |
---|---|---|---|---|---|---|---|---|---|
46314 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ | 0.7067 | 0.861 | 0.8208 | [M:[1.0, 1.0, 1.0, 0.8738], q:[0.4369, 0.5631], qb:[0.5631, 0.5631], phi:[0.4685]] | t^2.621 + t^2.811 + 3*t^3. + 2*t^3.379 + t^4.027 + 3*t^4.405 + 6*t^4.784 + t^5.243 + t^5.432 + t^5.621 + 3*t^5.811 - 2*t^6. - t^4.405/y - t^4.405*y | detail |