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 |
---|---|---|---|---|---|---|---|---|---|
396 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{1}M_{4}$ | 0.6306 | 0.7937 | 0.7946 | [M:[1.2171, 1.1085, 0.7829, 0.7829], q:[0.75, 0.4244], qb:[0.3585, 0.4671], phi:[0.5]] | [M:[[2], [1], [-2], [-2]], q:[[0], [-3]], qb:[[1], [2]], phi:[[0]]] | 1 | {a: 895529/1420032, c: 1127041/1420032, M1: 157/129, M2: 143/129, M3: 101/129, M4: 101/129, q1: 3/4, q2: 73/172, qb1: 185/516, qb2: 241/516, phi1: 1/2} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{3}q_{1}q_{2}$, ${ }M_{4}q_{1}q_{2}$ | ${}M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$ | 0 | 2*t^2.349 + t^2.477 + t^3. + 2*t^3.326 + t^3.523 + t^3.651 + t^3.849 + t^3.977 + t^4.047 + t^4.174 + t^4.302 + 3*t^4.698 + 2*t^4.826 + t^4.953 + 2*t^5.349 + t^5.477 + 3*t^5.674 + t^5.802 + t^5.872 + t^6.198 + 2*t^6.326 + 2*t^6.395 + t^6.453 + 2*t^6.523 + 4*t^6.651 + t^6.779 + t^6.849 + t^6.977 + 5*t^7.047 + 3*t^7.174 + 3*t^7.302 + t^7.372 + t^7.43 + t^7.57 + t^7.628 + 3*t^7.698 + t^7.826 + t^7.895 + 2*t^7.953 + 4*t^8.023 + t^8.093 + t^8.151 + 2*t^8.221 + 2*t^8.279 - t^8.349 - t^8.477 + t^8.547 + t^8.605 + t^8.674 + 3*t^8.744 + t^8.802 + 2*t^8.872 + t^8.93 - t^4.5/y - t^6.849/y + t^7.174/y + t^7.698/y + t^7.826/y + t^8.151/y + (2*t^8.349)/y + t^8.477/y + (4*t^8.674)/y + (2*t^8.802)/y + (2*t^8.872)/y - t^4.5*y - t^6.849*y + t^7.174*y + t^7.698*y + t^7.826*y + t^8.151*y + 2*t^8.349*y + t^8.477*y + 4*t^8.674*y + 2*t^8.802*y + 2*t^8.872*y | (2*t^2.349)/g1^2 + g1^3*t^2.477 + t^3. + 2*g1*t^3.326 + t^3.523/g1^3 + g1^2*t^3.651 + t^3.849/g1^2 + g1^3*t^3.977 + t^4.047/g1^6 + t^4.174/g1 + g1^4*t^4.302 + (3*t^4.698)/g1^4 + 2*g1*t^4.826 + g1^6*t^4.953 + (2*t^5.349)/g1^2 + g1^3*t^5.477 + (3*t^5.674)/g1 + g1^4*t^5.802 + t^5.872/g1^5 + t^6.198/g1^4 + 2*g1*t^6.326 + (2*t^6.395)/g1^8 + g1^6*t^6.453 + (2*t^6.523)/g1^3 + 4*g1^2*t^6.651 + g1^7*t^6.779 + t^6.849/g1^2 + g1^3*t^6.977 + (5*t^7.047)/g1^6 + (3*t^7.174)/g1 + 3*g1^4*t^7.302 + t^7.372/g1^5 + g1^9*t^7.43 + t^7.57/g1^9 + g1^5*t^7.628 + (3*t^7.698)/g1^4 + g1*t^7.826 + t^7.895/g1^8 + 2*g1^6*t^7.953 + (4*t^8.023)/g1^3 + t^8.093/g1^12 + g1^2*t^8.151 + (2*t^8.221)/g1^7 + 2*g1^7*t^8.279 - t^8.349/g1^2 - g1^3*t^8.477 + t^8.547/g1^6 + g1^8*t^8.605 + t^8.674/g1 + (3*t^8.744)/g1^10 + g1^4*t^8.802 + (2*t^8.872)/g1^5 + g1^9*t^8.93 - t^4.5/y - t^6.849/(g1^2*y) + t^7.174/(g1*y) + t^7.698/(g1^4*y) + (g1*t^7.826)/y + (g1^2*t^8.151)/y + (2*t^8.349)/(g1^2*y) + (g1^3*t^8.477)/y + (4*t^8.674)/(g1*y) + (2*g1^4*t^8.802)/y + (2*t^8.872)/(g1^5*y) - t^4.5*y - (t^6.849*y)/g1^2 + (t^7.174*y)/g1 + (t^7.698*y)/g1^4 + g1*t^7.826*y + g1^2*t^8.151*y + (2*t^8.349*y)/g1^2 + g1^3*t^8.477*y + (4*t^8.674*y)/g1 + 2*g1^4*t^8.802*y + (2*t^8.872*y)/g1^5 |
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 |
---|---|---|---|---|---|---|---|---|
639 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6508 | 0.8317 | 0.7826 | [M:[1.2136, 1.1068, 0.7864, 0.7864, 0.7136], q:[0.75, 0.4297], qb:[0.3568, 0.4636], phi:[0.5]] | t^2.141 + 2*t^2.359 + t^2.461 + t^3. + 2*t^3.32 + t^3.539 + t^3.641 + t^3.961 + t^4.078 + t^4.18 + 2*t^4.281 + 2*t^4.5 + t^4.602 + 3*t^4.719 + 2*t^4.82 + t^4.922 + t^5.141 + 2*t^5.359 + 3*t^5.461 + 4*t^5.68 + 2*t^5.781 + t^5.898 - t^4.5/y - t^4.5*y | detail | |
1834 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6483 | 0.8256 | 0.7853 | [M:[1.2243, 1.1122, 0.7757, 0.7757, 0.7757], q:[0.75, 0.4135], qb:[0.3622, 0.4743], 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 |
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 |
---|---|---|---|---|---|---|---|---|---|
248 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ | 0.6134 | 0.7631 | 0.8038 | [M:[1.2089, 1.1045, 0.7911], q:[0.75, 0.4366], qb:[0.3545, 0.4589], phi:[0.5]] | t^2.373 + t^2.44 + t^3. + 2*t^3.313 + t^3.56 + 2*t^3.627 + t^3.873 + t^3.94 + t^4.12 + t^4.187 + t^4.253 + t^4.747 + t^4.813 + t^4.88 + t^5.373 + t^5.44 + t^5.687 + t^5.753 - t^4.5/y - t^4.5*y | detail |