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 |
---|---|---|---|---|---|---|---|---|---|
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]] | [M:[[-2, 1], [0, 0], [2, -1], [-4, 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 |
---|---|---|---|---|
${}M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{3}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$ | ${}M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ | -2 | t^2.621 + 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. + 2*t^6.189 + 2*t^6.379 + t^6.648 + 3*t^6.757 + t^6.838 + 3*t^7.027 + 2*t^7.216 + 5*t^7.405 + 3*t^7.595 + 12*t^7.784 + t^7.864 - 6*t^7.973 + 2*t^8.054 + 9*t^8.162 + t^8.243 + 4*t^8.432 - 2*t^8.621 + 4*t^8.811 - t^4.405/y - t^7.027/y - t^7.216/y + t^7.595/y + t^7.784/y + t^8.432/y + (3*t^8.621)/y + (3*t^8.811)/y - t^4.405*y - t^7.027*y - t^7.216*y + t^7.595*y + t^7.784*y + t^8.432*y + 3*t^8.621*y + 3*t^8.811*y | t^2.621/g1^4 + t^2.811/g1^2 + t^3. + (g1^2*t^3.)/g2 + (g2*t^3.)/g1^2 + (g1^6*t^3.379)/g2 + g1^2*g2*t^3.379 + t^4.027/g1^5 + t^4.405/g1 + (g1*t^4.405)/g2 + (g2*t^4.405)/g1^3 + 2*g1^3*t^4.784 + (g1^7*t^4.784)/g2^2 + (g1^5*t^4.784)/g2 + g1*g2*t^4.784 + (g2^2*t^4.784)/g1 + t^5.243/g1^8 + t^5.432/g1^6 + t^5.621/g1^4 + t^5.811/g1^2 + t^5.811/g2 + (g2*t^5.811)/g1^4 - 2*t^6. + (g1^4*t^6.189)/g2 + g2*t^6.189 + (g1^8*t^6.379)/g2^2 + g2^2*t^6.379 + t^6.648/g1^9 + g1^8*t^6.757 + (g1^12*t^6.757)/g2^2 + g1^4*g2^2*t^6.757 + t^6.838/g1^7 + t^7.027/g1^5 + t^7.027/(g1^3*g2) + (g2*t^7.027)/g1^7 + t^7.216/(g1*g2) + (g2*t^7.216)/g1^5 + t^7.405/g1 + (g1^3*t^7.405)/g2^2 + (g1*t^7.405)/g2 + (g2*t^7.405)/g1^3 + (g2^2*t^7.405)/g1^5 + g1*t^7.595 + (g1^5*t^7.595)/g2^2 + (g2^2*t^7.595)/g1^3 + 2*g1^3*t^7.784 + (g1^9*t^7.784)/g2^3 + (2*g1^7*t^7.784)/g2^2 + (2*g1^5*t^7.784)/g2 + 2*g1*g2*t^7.784 + (2*g2^2*t^7.784)/g1 + (g2^3*t^7.784)/g1^3 + t^7.864/g1^12 - 2*g1^5*t^7.973 - (g1^9*t^7.973)/g2^2 - (g1^7*t^7.973)/g2 - g1^3*g2*t^7.973 - g1*g2^2*t^7.973 + (2*t^8.054)/g1^10 + g1^7*t^8.162 + (g1^13*t^8.162)/g2^3 + (g1^11*t^8.162)/g2^2 + (2*g1^9*t^8.162)/g2 + 2*g1^5*g2*t^8.162 + g1^3*g2^2*t^8.162 + g1*g2^3*t^8.162 + t^8.243/g1^8 + (2*t^8.432)/g1^6 + t^8.432/(g1^4*g2) + (g2*t^8.432)/g1^8 - (2*t^8.621)/g1^4 + (g1^2*t^8.811)/g2^2 + t^8.811/g2 + (g2*t^8.811)/g1^4 + (g2^2*t^8.811)/g1^6 - t^4.405/(g1*y) - t^7.027/(g1^5*y) - t^7.216/(g1^3*y) + (g1*t^7.595)/y + (g1^3*t^7.784)/y + t^8.432/(g1^6*y) + t^8.621/(g1^4*y) + t^8.621/(g1^2*g2*y) + (g2*t^8.621)/(g1^6*y) + t^8.811/(g1^2*y) + t^8.811/(g2*y) + (g2*t^8.811)/(g1^4*y) - (t^4.405*y)/g1 - (t^7.027*y)/g1^5 - (t^7.216*y)/g1^3 + g1*t^7.595*y + g1^3*t^7.784*y + (t^8.432*y)/g1^6 + (t^8.621*y)/g1^4 + (t^8.621*y)/(g1^2*g2) + (g2*t^8.621*y)/g1^6 + (t^8.811*y)/g1^2 + (t^8.811*y)/g2 + (g2*t^8.811*y)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|
46572 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ | 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]] | 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. - t^4.423/y - t^4.423*y | detail | |
46570 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6611 | 0.8138 | 0.8124 | [M:[0.8357, 1.0, 1.1643, 0.7714], q:[0.3857, 0.7786], qb:[0.6143, 0.4501], phi:[0.4428]] | t^2.314 + t^2.507 + t^2.657 + t^3. + t^3.193 + t^3.493 + t^3.643 + t^3.836 + t^4.029 + t^4.179 + t^4.329 + t^4.522 + t^4.628 + t^4.821 + t^4.971 + 2*t^5.014 + t^5.164 + t^5.314 + t^5.507 + t^5.657 + t^5.7 + t^5.85 + t^5.957 - t^6. - t^4.329/y - t^4.329*y | detail | |
46396 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ | 0.5734 | 0.7016 | 0.8172 | [X:[1.3583], M:[1.2312, 1.0, 0.7688, 0.6417], q:[0.3208, 0.4479], qb:[0.6792, 0.9104], phi:[0.4104]] | t^2.306 + t^2.462 + t^3. + t^3.156 + t^3.381 + t^3.538 + t^3.694 + t^3.919 + t^4.075 + t^4.613 + 2*t^4.769 + t^4.925 + t^5.306 + t^5.462 + t^5.688 + t^5.844 - t^4.231/y - t^4.231*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 |
---|---|---|---|---|---|---|---|---|---|
46032 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ | 0.7126 | 0.866 | 0.8228 | [M:[1.0, 0.9022, 1.0, 0.9171], q:[0.4586, 0.5414], qb:[0.6393, 0.5414], phi:[0.4548]] | t^2.706 + t^2.729 + t^2.751 + 2*t^3. + 2*t^3.542 + t^4.116 + 2*t^4.364 + 3*t^4.613 + t^4.658 + 2*t^4.907 + t^5.2 + t^5.413 + t^5.435 + t^5.458 + t^5.48 + t^5.503 + 2*t^5.729 - 3*t^6. - t^4.364/y - t^4.364*y | detail |