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 |
|---|---|---|---|---|---|---|---|---|---|
| 2159 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}q_{1}q_{2}$ | 0.6748 | 0.848 | 0.7958 | [M:[0.9778, 1.0838, 1.1453, 0.8547, 0.6872, 1.0838, 0.6872], q:[0.7709, 0.5419], qb:[0.4803, 0.3744], phi:[0.4581]] | [M:[[13], [-4], [5], [-5], [3], [-4], [3]], q:[[-1], [-2]], qb:[[-11], [6]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{7}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{6}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{7}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{7}$, ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{7}q_{1}\tilde{q}_{1}$, ${ }M_{1}^{2}$ | ${}$ | -2 | 2*t^2.062 + t^2.564 + t^2.933 + 2*t^3.251 + t^3.436 + t^3.62 + t^3.754 + 4*t^4.123 + t^4.256 + t^4.441 + 3*t^4.626 + 2*t^4.995 + t^5.128 + 4*t^5.313 + 2*t^5.497 + t^5.682 + 3*t^5.815 + t^5.867 - 2*t^6. + 7*t^6.185 + 2*t^6.318 + t^6.369 + 2*t^6.503 + t^6.554 + 6*t^6.687 + t^6.821 + 2*t^7.005 + 4*t^7.056 + t^7.19 + t^7.241 + 6*t^7.374 + 2*t^7.508 + 3*t^7.559 + t^7.692 + 2*t^7.744 + 5*t^7.877 + 2*t^7.928 + t^8.01 - 5*t^8.062 + 10*t^8.246 + 3*t^8.38 + 2*t^8.431 + t^8.513 + t^8.615 + t^8.697 + 9*t^8.749 + t^8.8 + 3*t^8.882 - 4*t^8.933 - t^4.374/y - (2*t^6.436)/y + (2*t^7.123)/y - t^7.308/y + t^7.441/y + t^7.626/y + (2*t^7.995)/y + (6*t^8.313)/y + (2*t^8.682)/y + (4*t^8.815)/y - t^4.374*y - 2*t^6.436*y + 2*t^7.123*y - t^7.308*y + t^7.441*y + t^7.626*y + 2*t^7.995*y + 6*t^8.313*y + 2*t^8.682*y + 4*t^8.815*y | 2*g1^3*t^2.062 + t^2.564/g1^5 + g1^13*t^2.933 + (2*t^3.251)/g1^4 + g1^5*t^3.436 + g1^14*t^3.62 + t^3.754/g1^12 + 4*g1^6*t^4.123 + t^4.256/g1^20 + t^4.441/g1^11 + (3*t^4.626)/g1^2 + 2*g1^16*t^4.995 + t^5.128/g1^10 + (4*t^5.313)/g1 + 2*g1^8*t^5.497 + g1^17*t^5.682 + (3*t^5.815)/g1^9 + g1^26*t^5.867 - 2*t^6. + 7*g1^9*t^6.185 + (2*t^6.318)/g1^17 + g1^18*t^6.369 + (2*t^6.503)/g1^8 + g1^27*t^6.554 + 6*g1*t^6.687 + t^6.821/g1^25 + (2*t^7.005)/g1^16 + 4*g1^19*t^7.056 + t^7.19/g1^7 + g1^28*t^7.241 + 6*g1^2*t^7.374 + (2*t^7.508)/g1^24 + 3*g1^11*t^7.559 + t^7.692/g1^15 + 2*g1^20*t^7.744 + (5*t^7.877)/g1^6 + 2*g1^29*t^7.928 + t^8.01/g1^32 - 5*g1^3*t^8.062 + 10*g1^12*t^8.246 + (3*t^8.38)/g1^14 + 2*g1^21*t^8.431 + t^8.513/g1^40 + g1^30*t^8.615 + t^8.697/g1^31 + 9*g1^4*t^8.749 + g1^39*t^8.8 + (3*t^8.882)/g1^22 - 4*g1^13*t^8.933 - (g1^2*t^4.374)/y - (2*g1^5*t^6.436)/y + (2*g1^6*t^7.123)/y - (g1^15*t^7.308)/y + t^7.441/(g1^11*y) + t^7.626/(g1^2*y) + (2*g1^16*t^7.995)/y + (6*t^8.313)/(g1*y) + (2*g1^17*t^8.682)/y + (4*t^8.815)/(g1^9*y) - g1^2*t^4.374*y - 2*g1^5*t^6.436*y + 2*g1^6*t^7.123*y - g1^15*t^7.308*y + (t^7.441*y)/g1^11 + (t^7.626*y)/g1^2 + 2*g1^16*t^7.995*y + (6*t^8.313*y)/g1 + 2*g1^17*t^8.682*y + (4*t^8.815*y)/g1^9 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4134 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}q_{1}q_{2}$ + ${ }M_{1}M_{8}$ | 0.6751 | 0.8497 | 0.7945 | [M:[1.0273, 1.0685, 1.1643, 0.8357, 0.6986, 1.0685, 0.6986, 0.9727], q:[0.7671, 0.5343], qb:[0.4384, 0.3972], phi:[0.4657]] | 2*t^2.096 + t^2.507 + t^2.918 + 2*t^3.206 + t^3.493 + t^3.617 + t^3.78 + t^4.028 + 4*t^4.192 + t^4.315 + 3*t^4.603 + 3*t^5.014 + 4*t^5.301 + t^5.425 + t^5.589 + 3*t^5.713 + t^5.836 + t^5.876 - 2*t^6. - t^4.397/y - t^4.397*y | detail | |
| 4133 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}q_{1}q_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6687 | 0.8415 | 0.7947 | [M:[1.0588, 1.0588, 1.1765, 0.8235, 0.7059, 1.0588, 0.7059], q:[0.7647, 0.5294], qb:[0.4118, 0.4118], phi:[0.4706]] | 2*t^2.118 + t^2.471 + 3*t^3.176 + 2*t^3.529 + 2*t^3.882 + 5*t^4.235 + 3*t^4.588 + t^4.941 + 6*t^5.294 + 5*t^5.647 + t^6. - t^4.412/y - t^4.412*y | detail | {a: 52563/78608, c: 33073/39304, M1: 18/17, M2: 18/17, M3: 20/17, M4: 14/17, M5: 12/17, M6: 18/17, M7: 12/17, q1: 13/17, q2: 9/17, qb1: 7/17, qb2: 7/17, phi1: 8/17} |
| 4135 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}q_{1}q_{2}$ + ${ }M_{8}q_{1}\tilde{q}_{1}$ | 0.6943 | 0.8842 | 0.7852 | [M:[0.9612, 1.0889, 1.1389, 0.8611, 0.6833, 1.0889, 0.6833, 0.7334], q:[0.7722, 0.5444], qb:[0.4944, 0.3667], phi:[0.4556]] | 2*t^2.05 + t^2.2 + t^2.583 + t^2.884 + 2*t^3.267 + t^3.417 + t^3.567 + 4*t^4.1 + 2*t^4.25 + t^4.333 + t^4.4 + t^4.483 + 3*t^4.633 + t^4.783 + 2*t^4.934 + t^5.084 + t^5.167 + 4*t^5.317 + 4*t^5.467 + 2*t^5.617 + 2*t^5.767 + t^5.85 - 2*t^6. - t^4.367/y - t^4.367*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 |
|---|
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1133 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6541 | 0.8078 | 0.8098 | [M:[0.9792, 1.0833, 1.1458, 0.8542, 0.6875, 1.0833], q:[0.7708, 0.5417], qb:[0.4792, 0.375], phi:[0.4583]] | t^2.063 + t^2.563 + t^2.938 + 2*t^3.25 + t^3.438 + t^3.625 + t^3.75 + t^3.938 + 2*t^4.125 + t^4.25 + t^4.438 + 2*t^4.625 + t^5. + t^5.125 + 2*t^5.313 + t^5.5 + 2*t^5.813 + t^5.875 - t^6. - t^4.375/y - t^4.375*y | detail | {a: 4019/6144, c: 4963/6144, M1: 47/48, M2: 13/12, M3: 55/48, M4: 41/48, M5: 11/16, M6: 13/12, q1: 37/48, q2: 13/24, qb1: 23/48, qb2: 3/8, phi1: 11/24} |