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 |
---|---|---|---|---|---|---|---|---|---|
46659 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}q_{1}q_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ | 0.6585 | 0.8435 | 0.7807 | [M:[1.1149, 0.7702, 0.7702, 0.8851], q:[0.75, 0.4798], qb:[0.3649, 0.4053], phi:[0.5]] | [M:[[-1], [2], [2], [1]], q:[[0], [-2]], qb:[[-1], [3]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}M_{1}M_{4}$ | -1 | 3*t^2.311 + t^2.534 + t^2.655 + t^3. + t^3.345 + t^3.466 + t^3.811 + t^3.932 + t^4.034 + t^4.155 + t^4.379 + 6*t^4.621 + 3*t^4.845 + 3*t^4.966 + t^5.068 + t^5.189 + 4*t^5.311 + t^5.534 + 3*t^5.655 + 2*t^5.776 - t^6. + 3*t^6.121 - t^6.224 + 3*t^6.242 + 2*t^6.345 + 4*t^6.466 + t^6.568 + t^6.587 + 3*t^6.689 + t^6.811 + t^6.913 + 11*t^6.932 + 4*t^7.155 + 6*t^7.276 + 2*t^7.379 + t^7.397 + t^7.5 + t^7.603 + 8*t^7.621 + t^7.742 + 2*t^7.845 + t^7.863 + 7*t^7.966 + t^8.068 + 4*t^8.087 - 3*t^8.311 + t^8.413 + 5*t^8.432 - 4*t^8.534 + 6*t^8.553 + 8*t^8.776 + 3*t^8.897 - t^4.5/y - (2*t^6.811)/y + (3*t^7.621)/y + (3*t^7.845)/y + (3*t^7.966)/y + (3*t^8.189)/y + (3*t^8.311)/y + t^8.534/y + (4*t^8.655)/y + (3*t^8.776)/y + t^8.879/y - t^4.5*y - 2*t^6.811*y + 3*t^7.621*y + 3*t^7.845*y + 3*t^7.966*y + 3*t^8.189*y + 3*t^8.311*y + t^8.534*y + 4*t^8.655*y + 3*t^8.776*y + t^8.879*y | 3*g1^2*t^2.311 + t^2.534/g1^3 + g1*t^2.655 + t^3. + t^3.345/g1 + g1^3*t^3.466 + g1^2*t^3.811 + g1^6*t^3.932 + t^4.034/g1^3 + g1*t^4.155 + t^4.379/g1^4 + 6*g1^4*t^4.621 + (3*t^4.845)/g1 + 3*g1^3*t^4.966 + t^5.068/g1^6 + t^5.189/g1^2 + 4*g1^2*t^5.311 + t^5.534/g1^3 + 3*g1*t^5.655 + 2*g1^5*t^5.776 - t^6. + 3*g1^4*t^6.121 - t^6.224/g1^5 + 3*g1^8*t^6.242 + (2*t^6.345)/g1 + 4*g1^3*t^6.466 + t^6.568/g1^6 + g1^7*t^6.587 + (3*t^6.689)/g1^2 + g1^2*t^6.811 + t^6.913/g1^7 + 11*g1^6*t^6.932 + 4*g1*t^7.155 + 6*g1^5*t^7.276 + (2*t^7.379)/g1^4 + g1^9*t^7.397 + t^7.5 + t^7.603/g1^9 + 8*g1^4*t^7.621 + g1^8*t^7.742 + (2*t^7.845)/g1 + g1^12*t^7.863 + 7*g1^3*t^7.966 + t^8.068/g1^6 + 4*g1^7*t^8.087 - 3*g1^2*t^8.311 + t^8.413/g1^7 + 5*g1^6*t^8.432 - (4*t^8.534)/g1^3 + 6*g1^10*t^8.553 + 8*g1^5*t^8.776 + 3*g1^9*t^8.897 - t^4.5/y - (2*g1^2*t^6.811)/y + (3*g1^4*t^7.621)/y + (3*t^7.845)/(g1*y) + (3*g1^3*t^7.966)/y + (3*t^8.189)/(g1^2*y) + (3*g1^2*t^8.311)/y + t^8.534/(g1^3*y) + (4*g1*t^8.655)/y + (3*g1^5*t^8.776)/y + t^8.879/(g1^4*y) - t^4.5*y - 2*g1^2*t^6.811*y + 3*g1^4*t^7.621*y + (3*t^7.845*y)/g1 + 3*g1^3*t^7.966*y + (3*t^8.189*y)/g1^2 + 3*g1^2*t^8.311*y + (t^8.534*y)/g1^3 + 4*g1*t^8.655*y + 3*g1^5*t^8.776*y + (t^8.879*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 |
---|---|---|---|---|---|---|---|---|
47053 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}q_{1}q_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6784 | 0.88 | 0.7709 | [M:[1.1129, 0.7742, 0.7742, 0.8871, 0.7258], q:[0.75, 0.4758], qb:[0.3629, 0.4113], phi:[0.5]] | t^2.177 + 3*t^2.323 + t^2.516 + t^2.661 + t^3. + t^3.339 + t^3.484 + t^3.968 + t^4.016 + t^4.161 + 2*t^4.355 + 3*t^4.5 + 6*t^4.645 + t^4.694 + 4*t^4.839 + 3*t^4.984 + t^5.032 + 2*t^5.177 + 4*t^5.323 + 2*t^5.516 + 4*t^5.661 + 2*t^5.806 - t^6. - t^4.5/y - t^4.5*y | detail | |
48219 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}q_{1}q_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6793 | 0.8839 | 0.7685 | [M:[1.1134, 0.7732, 0.7732, 0.8866, 0.6804], q:[0.75, 0.4768], qb:[0.3634, 0.4098], phi:[0.5]] | t^2.041 + 3*t^2.32 + t^2.521 + t^2.66 + t^3. + t^3.34 + t^3.479 + t^3.82 + t^4.021 + t^4.083 + t^4.16 + 4*t^4.361 + t^4.562 + 6*t^4.639 + t^4.701 + 3*t^4.84 + 3*t^4.979 + 2*t^5.041 + t^5.18 + 4*t^5.32 + t^5.382 + 2*t^5.521 + 3*t^5.66 + 2*t^5.799 + t^5.861 - t^6. - t^4.5/y - t^4.5*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 |
---|---|---|---|---|---|---|---|---|---|
46215 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}q_{1}q_{2}$ | 0.6483 | 0.8256 | 0.7853 | [M:[1.1122, 0.7757, 0.7757], q:[0.75, 0.4743], qb:[0.3622, 0.4135], phi:[0.5]] | 3*t^2.327 + t^2.509 + t^3. + 2*t^3.336 + t^3.491 + t^3.827 + t^3.981 + t^4.009 + t^4.164 + t^4.346 + 6*t^4.654 + 3*t^4.836 + t^5.019 + 3*t^5.327 + t^5.509 + 5*t^5.664 + 2*t^5.818 + t^5.846 - 2*t^6. - t^4.5/y - t^4.5*y | detail |