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 |
|---|---|---|---|---|---|---|---|---|---|
| 50763 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{6}$ | 0.652 | 0.8141 | 0.8009 | [X:[1.5634], M:[0.4366, 1.1878, 0.7817, 0.8733, 0.7817, 0.8122], q:[0.7969, 0.7664], qb:[0.4519, 0.3603], phi:[0.4061]] | [X:[[12]], M:[[-12], [4], [6], [-24], [6], [-4]], q:[[1], [11]], qb:[[-17], [13]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | ${}$ | -3 | 2*t^2.345 + 2*t^2.437 + t^2.62 + t^3.38 + t^3.472 + t^3.747 + t^3.93 + t^4.599 + 4*t^4.69 + 3*t^4.782 + 4*t^4.873 + 2*t^4.965 + t^5.056 + t^5.24 + t^5.725 + 5*t^5.817 + t^5.908 - 3*t^6. + 2*t^6.092 + t^6.183 + 3*t^6.366 + t^6.549 + t^6.76 + t^6.852 + 6*t^7.035 + 4*t^7.127 + 4*t^7.218 + 8*t^7.31 + 2*t^7.401 + t^7.493 + 2*t^7.585 + 2*t^7.676 + 2*t^7.859 + t^7.979 + 2*t^8.07 + 5*t^8.162 + 4*t^8.253 - 5*t^8.345 - 3*t^8.437 - t^8.62 + 2*t^8.711 + 4*t^8.803 + 2*t^8.986 - t^4.218/y - (2*t^6.563)/y - t^6.655/y - t^6.838/y + t^7.599/y + t^7.69/y + (5*t^7.782)/y + (3*t^7.873)/y + (2*t^7.965)/y + (2*t^8.056)/y + (2*t^8.725)/y + (4*t^8.817)/y - t^8.908/y - t^4.218*y - 2*t^6.563*y - t^6.655*y - t^6.838*y + t^7.599*y + t^7.69*y + 5*t^7.782*y + 3*t^7.873*y + 2*t^7.965*y + 2*t^8.056*y + 2*t^8.725*y + 4*t^8.817*y - t^8.908*y | 2*g1^6*t^2.345 + (2*t^2.437)/g1^4 + t^2.62/g1^24 + g1^24*t^3.38 + g1^14*t^3.472 + t^3.747/g1^16 + t^3.93/g1^36 + g1^22*t^4.599 + 4*g1^12*t^4.69 + 3*g1^2*t^4.782 + (4*t^4.873)/g1^8 + (2*t^4.965)/g1^18 + t^5.056/g1^28 + t^5.24/g1^48 + g1^30*t^5.725 + 5*g1^20*t^5.817 + g1^10*t^5.908 - 3*t^6. + (2*t^6.092)/g1^10 + t^6.183/g1^20 + (3*t^6.366)/g1^40 + t^6.549/g1^60 + g1^48*t^6.76 + g1^38*t^6.852 + 6*g1^18*t^7.035 + 4*g1^8*t^7.127 + (4*t^7.218)/g1^2 + (8*t^7.31)/g1^12 + (2*t^7.401)/g1^22 + t^7.493/g1^32 + (2*t^7.585)/g1^42 + (2*t^7.676)/g1^52 + (2*t^7.859)/g1^72 + g1^46*t^7.979 + 2*g1^36*t^8.07 + 5*g1^26*t^8.162 + 4*g1^16*t^8.253 - 5*g1^6*t^8.345 - (3*t^8.437)/g1^4 - t^8.62/g1^24 + (2*t^8.711)/g1^34 + (4*t^8.803)/g1^44 + (2*t^8.986)/g1^64 - t^4.218/(g1^2*y) - (2*g1^4*t^6.563)/y - t^6.655/(g1^6*y) - t^6.838/(g1^26*y) + (g1^22*t^7.599)/y + (g1^12*t^7.69)/y + (5*g1^2*t^7.782)/y + (3*t^7.873)/(g1^8*y) + (2*t^7.965)/(g1^18*y) + (2*t^8.056)/(g1^28*y) + (2*g1^30*t^8.725)/y + (4*g1^20*t^8.817)/y - (g1^10*t^8.908)/y - (t^4.218*y)/g1^2 - 2*g1^4*t^6.563*y - (t^6.655*y)/g1^6 - (t^6.838*y)/g1^26 + g1^22*t^7.599*y + g1^12*t^7.69*y + 5*g1^2*t^7.782*y + (3*t^7.873*y)/g1^8 + (2*t^7.965*y)/g1^18 + (2*t^8.056*y)/g1^28 + 2*g1^30*t^8.725*y + 4*g1^20*t^8.817*y - g1^10*t^8.908*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 56106 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{4}^{2}$ | 0.6366 | 0.798 | 0.7977 | [X:[1.5], M:[0.5, 1.1667, 0.75, 1.0, 0.75, 0.8333], q:[0.7917, 0.7083], qb:[0.5417, 0.2917], phi:[0.4167]] | 2*t^2.25 + 2*t^2.5 + 2*t^3. + t^3.25 + t^4. + t^4.25 + 5*t^4.5 + 3*t^4.75 + 4*t^5. + 3*t^5.25 + 6*t^5.5 + t^5.75 - t^6. - t^4.25/y - t^4.25*y | detail | {a: 3911/6144, c: 4903/6144, X1: 3/2, M1: 1/2, M2: 7/6, M3: 3/4, M4: 1, M5: 3/4, M6: 5/6, q1: 19/24, q2: 17/24, qb1: 13/24, qb2: 7/24, phi1: 5/12} |
| 56118 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6728 | 0.8548 | 0.7871 | [X:[1.5604], M:[0.4396, 1.1868, 0.7802, 0.8792, 0.7802, 0.8132, 0.6812], q:[0.7967, 0.7637], qb:[0.4561, 0.3571], phi:[0.4066]] | t^2.043 + 2*t^2.341 + 2*t^2.44 + t^2.638 + t^3.362 + t^3.461 + t^3.758 + t^4.087 + 2*t^4.384 + 2*t^4.483 + t^4.582 + 5*t^4.681 + 3*t^4.78 + 4*t^4.879 + 2*t^4.978 + t^5.077 + t^5.275 + t^5.406 + t^5.505 + t^5.703 + 6*t^5.802 + t^5.901 - 3*t^6. - t^4.22/y - t^4.22*y | detail | |
| 56117 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ | 0.6712 | 0.8493 | 0.7903 | [X:[1.557], M:[0.443, 1.1857, 0.7785, 0.8859, 0.7785, 0.8143, 0.7427], q:[0.7964, 0.7606], qb:[0.4609, 0.3535], phi:[0.4072]] | t^2.228 + 2*t^2.336 + 2*t^2.443 + t^2.658 + t^3.342 + t^3.45 + t^3.987 + t^4.456 + 3*t^4.564 + 6*t^4.671 + 3*t^4.779 + 5*t^4.886 + 2*t^4.993 + t^5.101 + t^5.316 + t^5.57 + 2*t^5.678 + 5*t^5.785 + t^5.893 - 3*t^6. - t^4.221/y - t^4.221*y | detail | |
| 56116 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.6661 | 0.8389 | 0.794 | [X:[1.5734], M:[0.4266, 1.1911, 0.7867, 0.8532, 0.7867, 0.8089, 0.8311], q:[0.7978, 0.7756], qb:[0.4377, 0.3712], phi:[0.4044]] | 2*t^2.36 + 2*t^2.427 + t^2.493 + t^2.56 + t^3.44 + t^3.706 + t^3.84 + t^4.654 + 4*t^4.72 + 3*t^4.787 + 6*t^4.853 + 4*t^4.92 + 2*t^4.986 + t^5.053 + t^5.119 + t^5.8 + 3*t^5.867 - 3*t^6. - t^4.213/y - t^4.213*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47277 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6363 | 0.7867 | 0.8088 | [X:[1.5607], M:[0.4393, 1.1869, 0.7803, 0.8786, 0.7803], q:[0.7967, 0.764], qb:[0.4557, 0.3574], phi:[0.4066]] | 2*t^2.341 + t^2.439 + t^2.636 + t^3.364 + t^3.462 + t^3.561 + t^3.757 + t^3.954 + t^4.584 + 4*t^4.682 + t^4.78 + 2*t^4.879 + 2*t^4.977 + t^5.272 + t^5.705 + 4*t^5.803 + 2*t^5.902 - 2*t^6. - t^4.22/y - t^4.22*y | detail |