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 |
|---|---|---|---|---|---|---|---|---|---|
| 4135 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}q_{1}q_{2}$ + ${ }M_{8}q_{1}\tilde{q}_{1}$ | 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]] | [M:[[13], [-4], [5], [-5], [3], [-4], [3], [12]], q:[[-1], [-2]], qb:[[-11], [6]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{7}$, ${ }M_{8}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{6}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}M_{8}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{7}$, ${ }M_{1}M_{8}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{7}$, ${ }M_{2}M_{8}$, ${ }M_{6}M_{8}$, ${ }M_{3}M_{8}$, ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{8}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{6}$ | ${}$ | -2 | 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. + 7*t^6.15 + 5*t^6.3 + t^6.383 + 3*t^6.45 + 3*t^6.533 + t^6.6 + 6*t^6.683 + 3*t^6.833 + t^6.916 + 5*t^6.984 + 3*t^7.134 + t^7.284 + 6*t^7.367 + 7*t^7.517 + t^7.6 + 6*t^7.667 + t^7.75 + 4*t^7.817 + t^7.9 + 2*t^7.967 - 4*t^8.05 + 8*t^8.2 - t^8.283 + 9*t^8.35 + 6*t^8.5 + t^8.583 + 4*t^8.651 + t^8.666 + 10*t^8.733 + t^8.801 + t^8.816 + 2*t^8.884 + 2*t^8.966 - t^4.367/y - (2*t^6.417)/y - t^6.567/y + (2*t^7.1)/y + t^7.25/y + t^7.483/y + t^7.633/y + t^7.783/y + (2*t^7.934)/y + t^8.084/y + t^8.167/y + (6*t^8.317)/y + (2*t^8.467)/y + t^8.617/y + (2*t^8.85)/y - t^4.367*y - 2*t^6.417*y - t^6.567*y + 2*t^7.1*y + t^7.25*y + t^7.483*y + t^7.633*y + t^7.783*y + 2*t^7.934*y + t^8.084*y + t^8.167*y + 6*t^8.317*y + 2*t^8.467*y + t^8.617*y + 2*t^8.85*y | 2*g1^3*t^2.05 + g1^12*t^2.2 + t^2.583/g1^5 + g1^13*t^2.884 + (2*t^3.267)/g1^4 + g1^5*t^3.417 + g1^14*t^3.567 + 4*g1^6*t^4.1 + 2*g1^15*t^4.25 + t^4.333/g1^20 + g1^24*t^4.4 + t^4.483/g1^11 + (3*t^4.633)/g1^2 + g1^7*t^4.783 + 2*g1^16*t^4.934 + g1^25*t^5.084 + t^5.167/g1^10 + (4*t^5.317)/g1 + 4*g1^8*t^5.467 + 2*g1^17*t^5.617 + 2*g1^26*t^5.767 + t^5.85/g1^9 - 2*t^6. + 7*g1^9*t^6.15 + 5*g1^18*t^6.3 + t^6.383/g1^17 + 3*g1^27*t^6.45 + (3*t^6.533)/g1^8 + g1^36*t^6.6 + 6*g1*t^6.683 + 3*g1^10*t^6.833 + t^6.916/g1^25 + 5*g1^19*t^6.984 + 3*g1^28*t^7.134 + g1^37*t^7.284 + 6*g1^2*t^7.367 + 7*g1^11*t^7.517 + t^7.6/g1^24 + 6*g1^20*t^7.667 + t^7.75/g1^15 + 4*g1^29*t^7.817 + t^7.9/g1^6 + 2*g1^38*t^7.967 - 4*g1^3*t^8.05 + 8*g1^12*t^8.2 - t^8.283/g1^23 + 9*g1^21*t^8.35 + 6*g1^30*t^8.5 + t^8.583/g1^5 + 4*g1^39*t^8.651 + t^8.666/g1^40 + 10*g1^4*t^8.733 + g1^48*t^8.801 + t^8.816/g1^31 + 2*g1^13*t^8.884 + (2*t^8.966)/g1^22 - (g1^2*t^4.367)/y - (2*g1^5*t^6.417)/y - (g1^14*t^6.567)/y + (2*g1^6*t^7.1)/y + (g1^15*t^7.25)/y + t^7.483/(g1^11*y) + t^7.633/(g1^2*y) + (g1^7*t^7.783)/y + (2*g1^16*t^7.934)/y + (g1^25*t^8.084)/y + t^8.167/(g1^10*y) + (6*t^8.317)/(g1*y) + (2*g1^8*t^8.467)/y + (g1^17*t^8.617)/y + (2*t^8.85)/(g1^9*y) - g1^2*t^4.367*y - 2*g1^5*t^6.417*y - g1^14*t^6.567*y + 2*g1^6*t^7.1*y + g1^15*t^7.25*y + (t^7.483*y)/g1^11 + (t^7.633*y)/g1^2 + g1^7*t^7.783*y + 2*g1^16*t^7.934*y + g1^25*t^8.084*y + (t^8.167*y)/g1^10 + (6*t^8.317*y)/g1 + 2*g1^8*t^8.467*y + g1^17*t^8.617*y + (2*t^8.85*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 |
|---|---|---|---|---|---|---|---|---|
| 5638 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}q_{1}q_{2}$ + ${ }M_{8}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{8}$ | 0.6666 | 0.8466 | 0.7874 | [M:[1.12, 1.04, 1.2, 0.8, 0.72, 1.04, 0.72, 0.88], q:[0.76, 0.52], qb:[0.36, 0.44], phi:[0.48]] | 2*t^2.16 + t^2.4 + t^2.64 + 2*t^3.12 + t^3.36 + 2*t^3.6 + 2*t^4.08 + 4*t^4.32 + 3*t^4.56 + 3*t^4.8 + t^5.04 + 5*t^5.28 + 3*t^5.52 + 5*t^5.76 - t^4.44/y - t^4.44*y | detail | {a: 41661/62500, c: 52911/62500, M1: 28/25, M2: 26/25, M3: 6/5, M4: 4/5, M5: 18/25, M6: 26/25, M7: 18/25, M8: 22/25, q1: 19/25, q2: 13/25, qb1: 9/25, qb2: 11/25, phi1: 12/25} |
| 5643 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}q_{1}q_{2}$ + ${ }M_{8}q_{1}\tilde{q}_{1}$ + ${ }M_{9}\phi_{1}\tilde{q}_{2}^{2}$ | 0.711 | 0.9128 | 0.7789 | [M:[0.9871, 1.0809, 1.1489, 0.8511, 0.6893, 1.0809, 0.6893, 0.7573, 0.7831], q:[0.7702, 0.5404], qb:[0.4724, 0.3787], phi:[0.4596]] | 2*t^2.068 + t^2.272 + t^2.349 + t^2.553 + t^2.961 + 2*t^3.243 + t^3.447 + 4*t^4.136 + t^4.213 + 2*t^4.34 + 3*t^4.417 + t^4.544 + 4*t^4.621 + t^4.699 + t^4.825 + t^4.903 + 2*t^5.029 + t^5.107 + t^5.233 + 5*t^5.311 + 4*t^5.515 + 2*t^5.592 + 2*t^5.796 + t^5.923 - 2*t^6. - t^4.379/y - t^4.379*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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | 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. - t^4.374/y - t^4.374*y | detail |