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 |
---|---|---|---|---|---|---|---|---|---|
55490 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6491 | 0.853 | 0.761 | [M:[1.0, 0.9038, 0.6899, 1.0481, 0.738, 0.738], q:[0.762, 0.238], qb:[0.5481, 0.5481], phi:[0.476]] | [M:[[0], [-8], [-5], [4], [-1], [-1]], q:[[1], [-1]], qb:[[4], [4]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{5}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{4}$, ${ }M_{1}\phi_{1}^{2}$ | ${}M_{4}\phi_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$ | -3 | t^2.07 + 2*t^2.214 + 2*t^2.358 + t^2.711 + t^2.856 + t^3. + t^3.144 + t^3.93 + t^4.139 + 2*t^4.284 + 5*t^4.428 + 4*t^4.572 + 6*t^4.716 + t^4.781 + 3*t^4.925 + 3*t^5.07 + 5*t^5.214 + 4*t^5.358 + t^5.423 + 2*t^5.502 + t^5.567 + 2*t^5.711 + t^5.856 - 3*t^6. + 2*t^6.144 + t^6.209 + 2*t^6.289 + 2*t^6.353 + 3*t^6.498 + 7*t^6.642 + 9*t^6.786 + t^6.851 + 9*t^6.93 + 3*t^6.995 + 9*t^7.075 + 6*t^7.139 + 8*t^7.284 + 9*t^7.428 + t^7.493 + 10*t^7.572 + 3*t^7.637 + 6*t^7.716 + 4*t^7.781 + 4*t^7.861 + 5*t^7.925 + t^8.07 + t^8.134 - 6*t^8.214 + 2*t^8.279 - 5*t^8.358 + 4*t^8.423 + 5*t^8.567 + 4*t^8.647 + 2*t^8.711 + 7*t^8.856 + t^8.92 - t^4.428/y - t^6.498/y - (2*t^6.642)/y - t^7.139/y + (2*t^7.284)/y + (3*t^7.428)/y + (4*t^7.572)/y + (2*t^7.716)/y + t^7.781/y + (3*t^7.925)/y + (5*t^8.07)/y + (7*t^8.214)/y + (5*t^8.358)/y + (2*t^8.502)/y - t^8.711/y - t^8.856/y - t^4.428*y - t^6.498*y - 2*t^6.642*y - t^7.139*y + 2*t^7.284*y + 3*t^7.428*y + 4*t^7.572*y + 2*t^7.716*y + t^7.781*y + 3*t^7.925*y + 5*t^8.07*y + 7*t^8.214*y + 5*t^8.358*y + 2*t^8.502*y - t^8.711*y - t^8.856*y | t^2.07/g1^5 + (2*t^2.214)/g1 + 2*g1^3*t^2.358 + t^2.711/g1^8 + t^2.856/g1^4 + t^3. + g1^4*t^3.144 + g1^5*t^3.93 + t^4.139/g1^10 + (2*t^4.284)/g1^6 + (5*t^4.428)/g1^2 + 4*g1^2*t^4.572 + 6*g1^6*t^4.716 + t^4.781/g1^13 + (3*t^4.925)/g1^9 + (3*t^5.07)/g1^5 + (5*t^5.214)/g1 + 4*g1^3*t^5.358 + t^5.423/g1^16 + 2*g1^7*t^5.502 + t^5.567/g1^12 + (2*t^5.711)/g1^8 + t^5.856/g1^4 - 3*t^6. + 2*g1^4*t^6.144 + t^6.209/g1^15 + 2*g1^8*t^6.289 + (2*t^6.353)/g1^11 + (3*t^6.498)/g1^7 + (7*t^6.642)/g1^3 + 9*g1*t^6.786 + t^6.851/g1^18 + 9*g1^5*t^6.93 + (3*t^6.995)/g1^14 + 9*g1^9*t^7.075 + (6*t^7.139)/g1^10 + (8*t^7.284)/g1^6 + (9*t^7.428)/g1^2 + t^7.493/g1^21 + 10*g1^2*t^7.572 + (3*t^7.637)/g1^17 + 6*g1^6*t^7.716 + (4*t^7.781)/g1^13 + 4*g1^10*t^7.861 + (5*t^7.925)/g1^9 + t^8.07/g1^5 + t^8.134/g1^24 - (6*t^8.214)/g1 + (2*t^8.279)/g1^20 - 5*g1^3*t^8.358 + (4*t^8.423)/g1^16 + (5*t^8.567)/g1^12 + 4*g1^11*t^8.647 + (2*t^8.711)/g1^8 + (7*t^8.856)/g1^4 + t^8.92/g1^23 - t^4.428/(g1^2*y) - t^6.498/(g1^7*y) - (2*t^6.642)/(g1^3*y) - t^7.139/(g1^10*y) + (2*t^7.284)/(g1^6*y) + (3*t^7.428)/(g1^2*y) + (4*g1^2*t^7.572)/y + (2*g1^6*t^7.716)/y + t^7.781/(g1^13*y) + (3*t^7.925)/(g1^9*y) + (5*t^8.07)/(g1^5*y) + (7*t^8.214)/(g1*y) + (5*g1^3*t^8.358)/y + (2*g1^7*t^8.502)/y - t^8.711/(g1^8*y) - t^8.856/(g1^4*y) - (t^4.428*y)/g1^2 - (t^6.498*y)/g1^7 - (2*t^6.642*y)/g1^3 - (t^7.139*y)/g1^10 + (2*t^7.284*y)/g1^6 + (3*t^7.428*y)/g1^2 + 4*g1^2*t^7.572*y + 2*g1^6*t^7.716*y + (t^7.781*y)/g1^13 + (3*t^7.925*y)/g1^9 + (5*t^8.07*y)/g1^5 + (7*t^8.214*y)/g1 + 5*g1^3*t^8.358*y + 2*g1^7*t^8.502*y - (t^8.711*y)/g1^8 - (t^8.856*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 |
---|---|---|---|---|---|---|---|---|
57085 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ | 0.6101 | 0.812 | 0.7513 | [M:[1.0, 1.1538, 0.8462, 0.9231, 0.7692, 0.7692], q:[0.7308, 0.2692], qb:[0.4231, 0.4231], phi:[0.5385]] | 2*t^2.077 + 2*t^2.308 + t^2.538 + t^2.769 + t^3. + t^3.231 + 2*t^3.462 + 6*t^4.154 + 4*t^4.385 + 5*t^4.615 + 4*t^4.846 + 5*t^5.077 + 5*t^5.308 + 5*t^5.538 + 5*t^5.769 - 2*t^6. - t^4.615/y - t^4.615*y | detail | {a: 21447/35152, c: 28545/35152, M1: 1, M2: 15/13, M3: 11/13, M4: 12/13, M5: 10/13, M6: 10/13, q1: 19/26, q2: 7/26, qb1: 11/26, qb2: 11/26, phi1: 7/13} |
57090 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ | 0.6434 | 0.8452 | 0.7613 | [M:[1.0, 0.9755, 0.7347, 1.0122, 0.7469, 0.7469, 1.0245], q:[0.7531, 0.2469], qb:[0.5122, 0.5122], phi:[0.4939]] | t^2.204 + 2*t^2.241 + 2*t^2.278 + t^2.963 + t^3. + t^3.037 + t^3.073 + t^3.796 + t^4.408 + 2*t^4.445 + 5*t^4.482 + 4*t^4.518 + 6*t^4.555 + t^5.167 + t^5.204 + 5*t^5.241 + 5*t^5.278 + 4*t^5.314 + 2*t^5.351 + t^5.927 - 3*t^6. - t^4.482/y - t^4.482*y | detail | |
57091 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}M_{7}$ | 0.6543 | 0.8625 | 0.7586 | [M:[1.0, 0.8707, 0.6692, 1.0647, 0.7338, 0.7338, 0.9353], q:[0.7662, 0.2338], qb:[0.5647, 0.5647], phi:[0.4677]] | t^2.007 + 2*t^2.201 + 2*t^2.396 + t^2.612 + 2*t^2.806 + t^3. + t^3.993 + t^4.015 + 2*t^4.209 + 5*t^4.403 + 4*t^4.597 + t^4.619 + 6*t^4.791 + 4*t^4.813 + 5*t^5.007 + 6*t^5.201 + t^5.224 + 2*t^5.396 + 2*t^5.418 + 4*t^5.612 + t^5.806 - 4*t^6. - t^4.403/y - t^4.403*y | detail | |
57089 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{3}X_{1}$ | 0.6057 | 0.7843 | 0.7723 | [X:[1.4286], M:[1.0, 0.7143, 0.5714, 1.1429, 0.7143, 0.7143], q:[0.7857, 0.2143], qb:[0.6429, 0.6429], phi:[0.4286]] | 3*t^2.143 + 3*t^2.571 + t^3. + t^3.429 + 8*t^4.286 + 7*t^4.714 + 12*t^5.143 + 5*t^5.571 - 4*t^6. - t^4.286/y - t^4.286*y | detail | {a: 831/1372, c: 269/343, X1: 10/7, M1: 1, M2: 5/7, M3: 4/7, M4: 8/7, M5: 5/7, M6: 5/7, q1: 11/14, q2: 3/14, qb1: 9/14, qb2: 9/14, phi1: 3/7} |
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 |
---|---|---|---|---|---|---|---|---|---|
47144 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6296 | 0.8171 | 0.7705 | [M:[1.0, 0.9072, 0.692, 1.0464, 0.7384], q:[0.7616, 0.2384], qb:[0.5464, 0.5464], phi:[0.4768]] | t^2.076 + t^2.215 + 2*t^2.354 + t^2.722 + t^2.861 + t^3. + t^3.139 + t^3.785 + t^3.924 + t^4.152 + t^4.291 + 3*t^4.43 + 2*t^4.57 + 6*t^4.709 + t^4.798 + 2*t^4.937 + 2*t^5.076 + 4*t^5.215 + 3*t^5.354 + t^5.443 + 2*t^5.494 + t^5.582 + 2*t^5.722 + 2*t^5.861 - 2*t^6. - t^4.43/y - t^4.43*y | detail |