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 |
---|---|---|---|---|---|---|---|---|---|
429 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6704 | 0.8228 | 0.8147 | [M:[0.979, 1.1205, 0.979, 0.6807], q:[0.7801, 0.4398], qb:[0.5813, 0.4398], phi:[0.4398]] | [M:[[9], [-4], [9], [-6]], q:[[-1], [2]], qb:[[-11], [2]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{2}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{4}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$ | ${}M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ | -2 | t^2.042 + t^2.639 + 2*t^2.937 + t^3.361 + 2*t^3.66 + 2*t^3.958 + 2*t^4.084 + 2*t^4.382 + t^4.681 + t^4.807 + 2*t^4.979 + t^5.277 + t^5.403 + 2*t^5.702 + 3*t^5.874 - 2*t^6. + 2*t^6.126 + 2*t^6.298 + 5*t^6.597 + t^6.723 + t^6.849 + 2*t^6.895 + 4*t^7.021 + 3*t^7.319 + 2*t^7.445 + 2*t^7.618 + 4*t^7.744 + 6*t^7.916 + 3*t^8.168 + 2*t^8.34 + 2*t^8.467 + t^8.639 + 2*t^8.765 + 4*t^8.811 + 2*t^8.891 - 6*t^8.937 - t^4.319/y - t^6.361/y - (2*t^7.256)/y + (2*t^7.382)/y + t^7.681/y + (2*t^7.979)/y + t^8.277/y + (2*t^8.576)/y + (2*t^8.702)/y + t^8.874/y - t^4.319*y - t^6.361*y - 2*t^7.256*y + 2*t^7.382*y + t^7.681*y + 2*t^7.979*y + t^8.277*y + 2*t^8.576*y + 2*t^8.702*y + t^8.874*y | t^2.042/g1^6 + g1^4*t^2.639 + 2*g1^9*t^2.937 + t^3.361/g1^4 + 2*g1*t^3.66 + 2*g1^6*t^3.958 + (2*t^4.084)/g1^12 + (2*t^4.382)/g1^7 + t^4.681/g1^2 + t^4.807/g1^20 + 2*g1^3*t^4.979 + g1^8*t^5.277 + t^5.403/g1^10 + (2*t^5.702)/g1^5 + 3*g1^18*t^5.874 - 2*t^6. + (2*t^6.126)/g1^18 + 2*g1^5*t^6.298 + 5*g1^10*t^6.597 + t^6.723/g1^8 + t^6.849/g1^26 + 2*g1^15*t^6.895 + (4*t^7.021)/g1^3 + 3*g1^2*t^7.319 + (2*t^7.445)/g1^16 + 2*g1^7*t^7.618 + (4*t^7.744)/g1^11 + 6*g1^12*t^7.916 + (3*t^8.168)/g1^24 + (2*t^8.34)/g1 + (2*t^8.467)/g1^19 + g1^4*t^8.639 + (2*t^8.765)/g1^14 + 4*g1^27*t^8.811 + (2*t^8.891)/g1^32 - 6*g1^9*t^8.937 - (g1^2*t^4.319)/y - t^6.361/(g1^4*y) - (2*g1^11*t^7.256)/y + (2*t^7.382)/(g1^7*y) + t^7.681/(g1^2*y) + (2*g1^3*t^7.979)/y + (g1^8*t^8.277)/y + (2*g1^13*t^8.576)/y + (2*t^8.702)/(g1^5*y) + (g1^18*t^8.874)/y - g1^2*t^4.319*y - (t^6.361*y)/g1^4 - 2*g1^11*t^7.256*y + (2*t^7.382*y)/g1^7 + (t^7.681*y)/g1^2 + 2*g1^3*t^7.979*y + g1^8*t^8.277*y + 2*g1^13*t^8.576*y + (2*t^8.702*y)/g1^5 + g1^18*t^8.874*y |
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 |
---|---|---|---|---|---|---|---|---|
716 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}M_{5}$ | 0.6496 | 0.7822 | 0.8305 | [M:[0.9769, 1.1214, 0.9769, 0.6821, 1.3179], q:[0.7803, 0.4393], qb:[0.5838, 0.4393], phi:[0.4393]] | t^2.636 + 2*t^2.931 + t^3.364 + 2*t^3.659 + 3*t^3.954 + t^4.092 + 2*t^4.387 + t^4.821 + t^5.272 + 3*t^5.861 - 4*t^6. - t^4.318/y - t^4.318*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 |
---|---|---|---|---|---|---|---|---|---|
266 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ | 0.6704 | 0.8232 | 0.8144 | [M:[0.9756, 1.1208, 0.9809, 0.6759], q:[0.7802, 0.4423], qb:[0.5821, 0.437], phi:[0.4396]] | t^2.028 + t^2.638 + t^2.927 + t^2.943 + t^3.362 + t^3.651 + t^3.667 + t^3.941 + t^3.957 + t^4.055 + t^4.087 + t^4.376 + t^4.392 + t^4.665 + t^4.811 + t^4.954 + t^4.97 + t^5.275 + t^5.39 + t^5.679 + t^5.695 + t^5.854 + t^5.87 + t^5.886 + t^5.968 - 2*t^6. - t^4.319/y - t^4.319*y | detail |