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 |
|---|---|---|---|---|---|---|---|---|---|
| 240 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{2}X_{1}$ | 0.5879 | 0.7149 | 0.8223 | [X:[1.4675], M:[0.8831, 0.5325, 1.0], q:[0.8084, 0.8084], qb:[0.3084, 0.5422], phi:[0.3831]] | [X:[[8]], M:[[-2], [-8], [0]], q:[[1], [1]], qb:[[1], [5]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}^{4}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | ${}M_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$ | 0 | t^2.299 + t^2.552 + t^2.649 + t^3. + t^3.351 + t^3.701 + 2*t^4.052 + t^4.402 + t^4.598 + 2*t^4.851 + t^4.948 + t^5.104 + t^5.201 + t^5.299 + t^5.552 + t^5.902 + t^6.253 + 2*t^6.351 - t^6.448 + 2*t^6.604 + 3*t^6.701 - 2*t^6.799 + t^6.896 + t^6.954 + 2*t^7.052 + t^7.247 + 3*t^7.402 + t^7.598 + t^7.655 + 2*t^7.753 + 4*t^8.104 - t^8.201 - t^8.299 + 3*t^8.454 - t^8.552 - 2*t^8.649 + 2*t^8.805 + 2*t^8.902 - t^4.149/y - t^6.448/y - t^6.799/y + t^7.5/y + (2*t^7.851)/y + t^7.948/y + t^8.201/y + t^8.299/y + t^8.552/y + (2*t^8.649)/y - t^8.747/y + t^8.902/y - t^4.149*y - t^6.448*y - t^6.799*y + t^7.5*y + 2*t^7.851*y + t^7.948*y + t^8.201*y + t^8.299*y + t^8.552*y + 2*t^8.649*y - t^8.747*y + t^8.902*y | t^2.299/g1^4 + g1^6*t^2.552 + t^2.649/g1^2 + t^3. + g1^2*t^3.351 + g1^4*t^3.701 + 2*g1^6*t^4.052 + g1^8*t^4.402 + t^4.598/g1^8 + 2*g1^2*t^4.851 + t^4.948/g1^6 + g1^12*t^5.104 + g1^4*t^5.201 + t^5.299/g1^4 + g1^6*t^5.552 + g1^8*t^5.902 + g1^10*t^6.253 + 2*g1^2*t^6.351 - t^6.448/g1^6 + 2*g1^12*t^6.604 + 3*g1^4*t^6.701 - (2*t^6.799)/g1^4 + t^6.896/g1^12 + g1^14*t^6.954 + 2*g1^6*t^7.052 + t^7.247/g1^10 + 3*g1^8*t^7.402 + t^7.598/g1^8 + g1^18*t^7.655 + 2*g1^10*t^7.753 + 4*g1^12*t^8.104 - g1^4*t^8.201 - t^8.299/g1^4 + 3*g1^14*t^8.454 - g1^6*t^8.552 - (2*t^8.649)/g1^2 + 2*g1^16*t^8.805 + 2*g1^8*t^8.902 - t^4.149/(g1^2*y) - t^6.448/(g1^6*y) - t^6.799/(g1^4*y) + t^7.5/y + (2*g1^2*t^7.851)/y + t^7.948/(g1^6*y) + (g1^4*t^8.201)/y + t^8.299/(g1^4*y) + (g1^6*t^8.552)/y + (2*t^8.649)/(g1^2*y) - t^8.747/(g1^10*y) + (g1^8*t^8.902)/y - (t^4.149*y)/g1^2 - (t^6.448*y)/g1^6 - (t^6.799*y)/g1^4 + t^7.5*y + 2*g1^2*t^7.851*y + (t^7.948*y)/g1^6 + g1^4*t^8.201*y + (t^8.299*y)/g1^4 + g1^6*t^8.552*y + (2*t^8.649*y)/g1^2 - (t^8.747*y)/g1^10 + g1^8*t^8.902*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 |
|---|---|---|---|---|---|---|---|---|
| 382 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6065 | 0.7473 | 0.8115 | [X:[1.4923], M:[0.8769, 0.5077, 1.0, 0.7538], q:[0.8115, 0.8115], qb:[0.3115, 0.5577], phi:[0.3769]] | 2*t^2.262 + t^2.608 + t^2.631 + t^3. + t^3.369 + 2*t^4.108 + t^4.477 + 3*t^4.523 + 3*t^4.869 + 2*t^4.892 + t^5.215 + t^5.238 + 2*t^5.262 + t^5.608 + t^5.631 + t^5.977 - t^6. - t^4.131/y - t^4.131*y | detail | |
| 380 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ | 0.5986 | 0.7318 | 0.8179 | [X:[1.4911], M:[0.8772, 0.5089, 1.0, 0.8772], q:[0.8114, 0.8114], qb:[0.3114, 0.5569], phi:[0.3772]] | t^2.263 + t^2.605 + 2*t^2.632 + t^3. + t^3.737 + 2*t^4.105 + t^4.473 + t^4.527 + 2*t^4.868 + 2*t^4.895 + t^5.21 + 2*t^5.237 + 3*t^5.263 + t^5.605 - t^6. - t^4.132/y - t^4.132*y | detail | |
| 383 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{2}X_{1}$ + ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 0.5874 | 0.7124 | 0.8245 | [X:[1.5], M:[0.875, 0.5, 1.0], q:[0.8125, 0.8125], qb:[0.3125, 0.5625], phi:[0.375]] | t^2.25 + 2*t^2.625 + t^3. + t^3.375 + t^3.75 + 2*t^4.125 + 2*t^4.5 + 3*t^4.875 + 3*t^5.25 + t^5.625 + t^6. - t^4.125/y - t^4.125*y | detail | {a: 1203/2048, c: 1459/2048, X1: 3/2, M1: 7/8, M2: 1/2, M3: 1, q1: 13/16, q2: 13/16, qb1: 5/16, qb2: 9/16, phi1: 3/8} |
| 379 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{2}X_{1}$ + ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{2}$ | 0.5508 | 0.6445 | 0.8545 | [X:[1.6667, 1.3333], M:[0.8333, 0.3333, 1.0], q:[0.8333, 0.8333], qb:[0.3333, 0.6667], phi:[0.3333]] | t^2.5 + 2*t^3. + t^3.5 + 2*t^4. + 2*t^4.5 + 2*t^5. - t^4./y - t^4.*y | detail | {a: 141/256, c: 165/256, X1: 5/3, X2: 4/3, M1: 5/6, M2: 1/3, M3: 1, q1: 5/6, q2: 5/6, qb1: 1/3, qb2: 2/3, phi1: 1/3} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 151 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6689 | 0.8347 | 0.8014 | [M:[0.6964, 0.7027, 0.6943], q:[0.8254, 0.8254], qb:[0.4782, 0.4741], phi:[0.3492]] | t^2.083 + t^2.089 + t^2.095 + t^2.108 + t^2.857 + 2*t^3.898 + t^3.905 + t^3.911 + t^4.166 + t^4.172 + 2*t^4.178 + t^4.185 + 2*t^4.191 + t^4.197 + t^4.203 + t^4.216 + t^4.94 + t^4.946 + 2*t^4.952 + t^4.965 + t^5.714 + 2*t^5.981 + 2*t^5.987 + 2*t^5.994 - t^6. - t^4.048/y - t^4.048*y | detail |