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 |
|---|---|---|---|---|---|---|---|---|---|
| 46729 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ | 0.6196 | 0.8021 | 0.7724 | [X:[1.3806], M:[0.6194, 0.6815, 1.0, 0.6991], q:[0.7699, 0.6106], qb:[0.5486, 0.2301], phi:[0.4602]] | [X:[[6]], M:[[-6], [16], [0], [-10]], q:[[-1], [7]], qb:[[-15], [1]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }X_{1}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}^{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{2}^{4}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | ${}$ | -2 | t^2.044 + t^2.097 + t^2.336 + t^2.522 + 2*t^2.761 + t^3. + t^3.478 + t^3.717 + t^4.089 + 2*t^4.142 + t^4.194 + t^4.381 + t^4.433 + t^4.567 + t^4.619 + 2*t^4.672 + 2*t^4.806 + 3*t^4.858 + 2*t^5.044 + 3*t^5.097 + 2*t^5.283 + t^5.336 + 5*t^5.522 + t^5.575 + 2*t^5.761 + t^5.814 - 2*t^6. + t^6.053 + t^6.133 + t^6.186 + 3*t^6.239 + t^6.292 + 3*t^6.478 + t^6.531 + t^6.611 + t^6.664 + 2*t^6.717 + 2*t^6.769 + 2*t^6.85 + 3*t^6.903 + 2*t^6.956 + 2*t^7.008 + 2*t^7.089 + 3*t^7.142 + 4*t^7.194 + 2*t^7.328 + t^7.381 + 5*t^7.433 + 5*t^7.567 + 5*t^7.619 + 2*t^7.672 + 3*t^7.806 + 5*t^7.858 + t^8.044 - t^8.097 + 2*t^8.15 + t^8.178 + t^8.231 + 7*t^8.283 + 3*t^8.389 + t^8.575 + t^8.628 + t^8.656 + t^8.708 - 5*t^8.761 + 4*t^8.814 + 2*t^8.867 + 2*t^8.894 + t^8.947 - t^4.381/y - t^6.425/y - t^6.478/y + t^7.381/y + t^7.433/y + t^7.567/y + (2*t^7.619)/y + (2*t^7.806)/y + (3*t^7.858)/y + t^8.044/y + (3*t^8.097)/y + (3*t^8.283)/y + (2*t^8.336)/y - t^8.469/y + (2*t^8.522)/y + (3*t^8.761)/y + (2*t^8.814)/y - t^4.381*y - t^6.425*y - t^6.478*y + t^7.381*y + t^7.433*y + t^7.567*y + 2*t^7.619*y + 2*t^7.806*y + 3*t^7.858*y + t^8.044*y + 3*t^8.097*y + 3*t^8.283*y + 2*t^8.336*y - t^8.469*y + 2*t^8.522*y + 3*t^8.761*y + 2*t^8.814*y | g1^16*t^2.044 + t^2.097/g1^10 + t^2.336/g1^14 + g1^8*t^2.522 + 2*g1^4*t^2.761 + t^3. + t^3.478/g1^8 + t^3.717/g1^12 + g1^32*t^4.089 + 2*g1^6*t^4.142 + t^4.194/g1^20 + g1^2*t^4.381 + t^4.433/g1^24 + g1^24*t^4.567 + t^4.619/g1^2 + (2*t^4.672)/g1^28 + 2*g1^20*t^4.806 + (3*t^4.858)/g1^6 + 2*g1^16*t^5.044 + (3*t^5.097)/g1^10 + 2*g1^12*t^5.283 + t^5.336/g1^14 + 5*g1^8*t^5.522 + t^5.575/g1^18 + 2*g1^4*t^5.761 + t^5.814/g1^22 - 2*t^6. + t^6.053/g1^26 + g1^48*t^6.133 + g1^22*t^6.186 + (3*t^6.239)/g1^4 + t^6.292/g1^30 + (3*t^6.478)/g1^8 + t^6.531/g1^34 + g1^40*t^6.611 + g1^14*t^6.664 + (2*t^6.717)/g1^12 + (2*t^6.769)/g1^38 + 2*g1^36*t^6.85 + 3*g1^10*t^6.903 + (2*t^6.956)/g1^16 + (2*t^7.008)/g1^42 + 2*g1^32*t^7.089 + 3*g1^6*t^7.142 + (4*t^7.194)/g1^20 + 2*g1^28*t^7.328 + g1^2*t^7.381 + (5*t^7.433)/g1^24 + 5*g1^24*t^7.567 + (5*t^7.619)/g1^2 + (2*t^7.672)/g1^28 + 3*g1^20*t^7.806 + (5*t^7.858)/g1^6 + g1^16*t^8.044 - t^8.097/g1^10 + (2*t^8.15)/g1^36 + g1^64*t^8.178 + g1^38*t^8.231 + 7*g1^12*t^8.283 + (3*t^8.389)/g1^40 + t^8.575/g1^18 + t^8.628/g1^44 + g1^56*t^8.656 + g1^30*t^8.708 - 5*g1^4*t^8.761 + (4*t^8.814)/g1^22 + (2*t^8.867)/g1^48 + 2*g1^52*t^8.894 + g1^26*t^8.947 - (g1^2*t^4.381)/y - (g1^18*t^6.425)/y - t^6.478/(g1^8*y) + (g1^2*t^7.381)/y + t^7.433/(g1^24*y) + (g1^24*t^7.567)/y + (2*t^7.619)/(g1^2*y) + (2*g1^20*t^7.806)/y + (3*t^7.858)/(g1^6*y) + (g1^16*t^8.044)/y + (3*t^8.097)/(g1^10*y) + (3*g1^12*t^8.283)/y + (2*t^8.336)/(g1^14*y) - (g1^34*t^8.469)/y + (2*g1^8*t^8.522)/y + (3*g1^4*t^8.761)/y + (2*t^8.814)/(g1^22*y) - g1^2*t^4.381*y - g1^18*t^6.425*y - (t^6.478*y)/g1^8 + g1^2*t^7.381*y + (t^7.433*y)/g1^24 + g1^24*t^7.567*y + (2*t^7.619*y)/g1^2 + 2*g1^20*t^7.806*y + (3*t^7.858*y)/g1^6 + g1^16*t^8.044*y + (3*t^8.097*y)/g1^10 + 3*g1^12*t^8.283*y + (2*t^8.336*y)/g1^14 - g1^34*t^8.469*y + 2*g1^8*t^8.522*y + 3*g1^4*t^8.761*y + (2*t^8.814*y)/g1^22 |
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 |
|---|---|---|---|---|---|---|---|---|
| 47209 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{2}M_{5}$ | 0.5988 | 0.7618 | 0.7861 | [X:[1.3822], M:[0.6178, 0.6859, 1.0, 0.6963, 1.3141], q:[0.7696, 0.6126], qb:[0.5445, 0.2304], phi:[0.4607]] | t^2.089 + t^2.325 + t^2.529 + 2*t^2.764 + t^3. + t^3.471 + t^3.707 + t^3.942 + t^4.147 + t^4.178 + t^4.414 + t^4.618 + 2*t^4.649 + 3*t^4.853 + t^5.058 + 3*t^5.089 + 2*t^5.293 + t^5.325 + 4*t^5.529 + t^5.56 + t^5.764 + t^5.796 - 2*t^6. - t^4.382/y - t^4.382*y | detail | |
| 46811 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}X_{2}$ | 0.5841 | 0.7369 | 0.7927 | [X:[1.3333, 1.4444], M:[0.6667, 0.5556, 1.0, 0.7778], q:[0.7778, 0.5556], qb:[0.6667, 0.2222], phi:[0.4444]] | 2*t^2.333 + 3*t^2.667 + t^3. + t^3.667 + 2*t^4. + t^4.333 + 3*t^4.667 + 6*t^5. + 9*t^5.333 + t^5.667 - 2*t^6. - t^4.333/y - t^4.333*y | detail | {a: 757/1296, c: 955/1296, X1: 4/3, X2: 13/9, M1: 2/3, M2: 5/9, M3: 1, M4: 7/9, q1: 7/9, q2: 5/9, qb1: 2/3, qb2: 2/9, phi1: 4/9} |
| 48302 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}X_{2}$ | 0.6128 | 0.7847 | 0.781 | [X:[1.375, 1.3333], M:[0.625, 0.6667, 1.0, 0.7083, 0.8333], q:[0.7708, 0.6042], qb:[0.5625, 0.2292], phi:[0.4583]] | t^2.125 + t^2.375 + 2*t^2.5 + 2*t^2.75 + t^3. + t^3.75 + t^4. + t^4.125 + t^4.25 + t^4.5 + 2*t^4.625 + 2*t^4.75 + 4*t^4.875 + 3*t^5. + 3*t^5.125 + 4*t^5.25 + t^5.375 + 5*t^5.5 + t^5.75 - 3*t^6. - t^4.375/y - t^4.375*y | detail | {a: 1255/2048, c: 1607/2048, X1: 11/8, X2: 4/3, M1: 5/8, M2: 2/3, M3: 1, M4: 17/24, M5: 5/6, q1: 37/48, q2: 29/48, qb1: 9/16, qb2: 11/48, phi1: 11/24} |
| 46903 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{2}X_{2}$ | 0.5966 | 0.7557 | 0.7895 | [X:[1.3636, 1.3636], M:[0.6364, 0.6364, 1.0, 0.7273], q:[0.7727, 0.5909], qb:[0.5909, 0.2273], phi:[0.4545]] | t^2.182 + 2*t^2.455 + 2*t^2.727 + t^3. + t^3.545 + t^3.818 + 2*t^4.091 + t^4.364 + 2*t^4.636 + 6*t^4.909 + 5*t^5.182 + 5*t^5.455 + 2*t^5.727 - 2*t^6. - t^4.364/y - t^4.364*y | detail | {a: 105/176, c: 133/176, X1: 15/11, X2: 15/11, M1: 7/11, M2: 7/11, M3: 1, M4: 8/11, q1: 17/22, q2: 13/22, qb1: 13/22, qb2: 5/22, phi1: 5/11} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46157 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6466 | 0.8508 | 0.76 | [M:[0.6983, 0.7146, 1.0, 0.7331], q:[0.7587, 0.543], qb:[0.5267, 0.2413], phi:[0.4826]] | t^2.095 + t^2.144 + t^2.199 + t^2.304 + t^2.353 + 2*t^2.896 + t^3. + t^3.209 + t^3.752 + t^4.19 + t^4.239 + t^4.288 + t^4.294 + t^4.343 + 2*t^4.399 + 2*t^4.448 + t^4.497 + t^4.503 + t^4.552 + 2*t^4.608 + 2*t^4.657 + 2*t^4.706 + 2*t^4.991 + 2*t^5.039 + 2*t^5.095 + 3*t^5.199 + 2*t^5.248 + 2*t^5.304 + 2*t^5.353 + t^5.408 + t^5.513 + t^5.562 + 3*t^5.791 + t^5.847 + 2*t^5.896 - 3*t^6. - t^4.448/y - t^4.448*y | detail |