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 |
|---|---|---|---|---|---|---|---|---|---|
| 57326 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1.4415 | 1.6254 | 0.8869 | [X:[1.3429], q:[0.4811, 0.4524], qb:[0.5189, 0.5763], phi:[0.3286]] | [X:[[6]], q:[[23], [5]], qb:[[-23], [13]], phi:[[-3]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$ | ${}$ | -1 | t^2.914 + t^2.957 + t^3. + t^3.086 + t^3.172 + t^3.9 + t^3.986 + t^4.029 + t^4.072 + t^4.158 + t^4.885 + t^4.971 + t^5.057 + 2*t^5.143 + t^5.229 + t^5.828 + t^5.871 + t^5.914 + t^5.957 - t^6. + t^6.043 + t^6.086 + 2*t^6.129 + t^6.172 + t^6.215 + t^6.258 + t^6.344 + t^6.814 + t^6.857 + t^6.9 + 2*t^6.943 + 2*t^6.986 + 3*t^7.029 + 2*t^7.072 + 3*t^7.115 + 2*t^7.158 + 2*t^7.201 + t^7.244 + t^7.287 + t^7.33 + t^7.627 + 2*t^7.799 + 2*t^7.885 + 3*t^7.971 + t^8.014 + 4*t^8.057 + 2*t^8.1 + 5*t^8.143 + t^8.186 + 3*t^8.229 + 3*t^8.315 + t^8.401 - t^8.656 + 2*t^8.785 + 3*t^8.871 - 2*t^8.914 + 2*t^8.957 + t^8.957/y^2 - t^3.986/y - t^4.971/y - t^6.9/y - t^6.943/y - t^6.986/y - t^7.072/y - t^7.158/y - t^7.885/y - t^7.928/y - t^7.971/y - t^8.057/y - t^8.143/y + t^8.914/y - t^3.986*y - t^4.971*y - t^6.9*y - t^6.943*y - t^6.986*y - t^7.072*y - t^7.158*y - t^7.885*y - t^7.928*y - t^7.971*y - t^8.057*y - t^8.143*y + t^8.914*y + t^8.957*y^2 | t^2.914/g1^18 + t^2.957/g1^9 + t^3. + g1^18*t^3.086 + g1^36*t^3.172 + t^3.9/g1^21 + t^3.986/g1^3 + g1^6*t^4.029 + g1^15*t^4.072 + g1^33*t^4.158 + t^4.885/g1^24 + t^4.971/g1^6 + g1^12*t^5.057 + 2*g1^30*t^5.143 + g1^48*t^5.229 + t^5.828/g1^36 + t^5.871/g1^27 + t^5.914/g1^18 + t^5.957/g1^9 - t^6. + g1^9*t^6.043 + g1^18*t^6.086 + 2*g1^27*t^6.129 + g1^36*t^6.172 + g1^45*t^6.215 + g1^54*t^6.258 + g1^72*t^6.344 + t^6.814/g1^39 + t^6.857/g1^30 + t^6.9/g1^21 + (2*t^6.943)/g1^12 + (2*t^6.986)/g1^3 + 3*g1^6*t^7.029 + 2*g1^15*t^7.072 + 3*g1^24*t^7.115 + 2*g1^33*t^7.158 + 2*g1^42*t^7.201 + g1^51*t^7.244 + g1^60*t^7.287 + g1^69*t^7.33 + t^7.627/g1^78 + (2*t^7.799)/g1^42 + (2*t^7.885)/g1^24 + (3*t^7.971)/g1^6 + g1^3*t^8.014 + 4*g1^12*t^8.057 + 2*g1^21*t^8.1 + 5*g1^30*t^8.143 + g1^39*t^8.186 + 3*g1^48*t^8.229 + 3*g1^66*t^8.315 + g1^84*t^8.401 - t^8.656/g1^72 + (2*t^8.785)/g1^45 + (3*t^8.871)/g1^27 - (2*t^8.914)/g1^18 + (2*t^8.957)/g1^9 + t^8.957/(g1^9*y^2) - t^3.986/(g1^3*y) - t^4.971/(g1^6*y) - t^6.9/(g1^21*y) - t^6.943/(g1^12*y) - t^6.986/(g1^3*y) - (g1^15*t^7.072)/y - (g1^33*t^7.158)/y - t^7.885/(g1^24*y) - t^7.928/(g1^15*y) - t^7.971/(g1^6*y) - (g1^12*t^8.057)/y - (g1^30*t^8.143)/y + t^8.914/(g1^18*y) - (t^3.986*y)/g1^3 - (t^4.971*y)/g1^6 - (t^6.9*y)/g1^21 - (t^6.943*y)/g1^12 - (t^6.986*y)/g1^3 - g1^15*t^7.072*y - g1^33*t^7.158*y - (t^7.885*y)/g1^24 - (t^7.928*y)/g1^15 - (t^7.971*y)/g1^6 - g1^12*t^8.057*y - g1^30*t^8.143*y + (t^8.914*y)/g1^18 + (t^8.957*y^2)/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 |
|---|---|---|---|---|---|---|---|---|
| 58077 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ | 1.4621 | 1.6651 | 0.8781 | [X:[1.3422], M:[0.6978], q:[0.4785, 0.4519], qb:[0.5215, 0.5748], phi:[0.3289]] | t^2.09 + t^2.92 + t^2.96 + t^3. + t^3.08 + t^3.16 + t^3.99 + t^4.03 + t^4.07 + t^4.15 + t^4.19 + t^4.89 + t^4.97 + t^5.01 + 2*t^5.05 + t^5.09 + 2*t^5.13 + t^5.17 + t^5.21 + t^5.25 + t^5.84 + t^5.88 + t^5.92 + t^5.96 - t^6. - t^3.99/y - t^4.97/y - t^3.99*y - t^4.97*y | detail | |
| 58074 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.4403 | 1.6241 | 0.8868 | [X:[1.3413], M:[1.0119], q:[0.475, 0.4511], qb:[0.525, 0.5728], phi:[0.3294]] | t^2.93 + t^3. + t^3.04 + t^3.07 + t^3.14 + t^3.92 + t^3.99 + t^4.02 + t^4.06 + t^4.13 + t^4.9 + t^4.98 + t^5.05 + 2*t^5.12 + t^5.19 + t^5.86 + t^5.96 - t^6. - t^3.99/y - t^4.98/y - t^3.99*y - t^4.98*y | detail | |
| 58076 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ | 1.4485 | 1.636 | 0.8854 | [X:[1.3488], M:[0.9073], q:[0.5037, 0.4573], qb:[0.4963, 0.589], phi:[0.3256]] | t^2.72 + t^2.86 + t^2.93 + t^3. + t^3.14 + t^3.84 + t^3.98 + t^4.05 + t^4.12 + t^4.26 + t^4.81 + t^4.95 + t^5.09 + 2*t^5.23 + t^5.37 + t^5.44 + t^5.58 + t^5.65 + 2*t^5.72 + t^5.79 + 2*t^5.86 + t^5.93 - t^6. - t^3.98/y - t^4.95/y - t^3.98*y - t^4.95*y | detail | |
| 58073 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ | 1.4393 | 1.6232 | 0.8867 | [X:[1.3397], M:[1.0191], q:[0.4689, 0.4498], qb:[0.5311, 0.5694], phi:[0.3301]] | t^2.97 + t^3. + 2*t^3.06 + t^3.11 + t^3.93 + t^3.99 + t^4.02 + t^4.05 + t^4.11 + t^4.92 + t^4.98 + t^5.04 + 2*t^5.1 + t^5.15 + t^5.97 - 2*t^6. - t^3.99/y - t^4.98/y - t^3.99*y - t^4.98*y | detail | |
| 58075 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ | 1.4446 | 1.6298 | 0.8864 | [X:[1.346], M:[0.9619], q:[0.4932, 0.455], qb:[0.5068, 0.5831], phi:[0.327]] | 2*t^2.89 + t^2.94 + t^3. + t^3.23 + t^3.87 + t^3.98 + t^4.04 + t^4.1 + t^4.21 + t^4.85 + t^4.96 + t^5.08 + 2*t^5.19 + t^5.3 + 3*t^5.77 + 2*t^5.83 + 2*t^5.89 + t^5.94 - 2*t^6. - t^3.98/y - t^4.96/y - t^3.98*y - t^4.96*y | detail | |
| 58069 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ | 0.8845 | 1.0039 | 0.8811 | [X:[1.4545, 1.3636], M:[], q:[0.9091, 0.5455], qb:[0.0909, 0.8182], phi:[0.2727]] | t^2.45 + t^2.73 + t^3. + t^3.27 + t^3.55 + t^3.82 + 2*t^4.09 + t^4.36 + t^4.91 + 2*t^5.18 + t^5.45 + t^5.73 - t^3.82/y - t^4.64/y - t^3.82*y - t^4.64*y | detail | {a: 18837/21296, c: 10689/10648, X1: 16/11, X2: 15/11, q1: 10/11, q2: 6/11, qb1: 1/11, qb2: 9/11, phi1: 3/11} |
| 58072 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ | 1.3964 | 1.5683 | 0.8904 | [X:[1.375], M:[], q:[0.6042, 0.4792], qb:[0.3958, 0.6458], phi:[0.3125]] | t^2.62 + t^2.81 + t^3. + t^3.38 + t^3.56 + t^3.75 + t^3.94 + t^4.12 + t^4.31 + t^4.5 + t^4.69 + t^4.88 + 2*t^5.25 + t^5.44 + 3*t^5.62 + t^5.81 - t^3.94/y - t^4.88/y - t^3.94*y - t^4.88*y | detail | {a: 91515/65536, c: 102779/65536, X1: 11/8, q1: 29/48, q2: 23/48, qb1: 19/48, qb2: 31/48, phi1: 5/16} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 47883 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4532 | 1.6411 | 0.8855 | [X:[1.3322], q:[0.4975, 0.5008], qb:[0.5025, 0.4959], phi:[0.3339]] | t^2.98 + t^2.99 + t^3. + t^3.005 + t^3.01 + t^3.982 + t^3.992 + t^3.997 + t^4.002 + t^4.011 + t^4.984 + t^4.993 + t^5.003 + t^5.013 + t^5.484 + t^5.489 + t^5.499 + t^5.504 + t^5.961 + t^5.971 + t^5.98 + t^5.985 + t^5.99 + t^5.995 - 2*t^6. - t^4.002/y - t^5.003/y - t^4.002*y - t^5.003*y | detail |