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 |
|---|---|---|---|---|---|---|---|---|---|
| 4767 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{8}$ | 0.6843 | 0.8602 | 0.7955 | [M:[0.9538, 0.814, 0.9538, 0.814, 1.186, 0.7441, 0.7441, 1.186], q:[0.6392, 0.407], qb:[0.407, 0.779], phi:[0.4419]] | [M:[[-22], [-2], [-22], [-2], [2], [8], [8], [2]], q:[[23], [-1]], qb:[[-1], [3]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{7}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{5}$, ${ }M_{8}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{4}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{3}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}M_{7}$, ${ }M_{6}M_{8}$, ${ }M_{7}M_{8}$ | ${}M_{4}M_{8}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{7}\phi_{1}q_{2}^{2}$ | -1 | 2*t^2.232 + t^2.442 + t^2.652 + 2*t^2.861 + 2*t^3.558 + t^3.768 + t^4.255 + 5*t^4.464 + 2*t^4.674 + 3*t^4.884 + 5*t^5.094 + t^5.161 + t^5.303 + 2*t^5.513 + 3*t^5.723 + 4*t^5.79 - t^6. + t^6.21 + 4*t^6.419 + 2*t^6.487 + 6*t^6.697 + 3*t^6.906 + 7*t^7.116 + 9*t^7.326 + 2*t^7.393 + 3*t^7.536 + 5*t^7.745 + t^7.813 + 7*t^7.955 + 7*t^8.023 + 2*t^8.165 - 5*t^8.232 + 3*t^8.374 - t^8.442 + 4*t^8.584 + 4*t^8.652 + 5*t^8.719 - 7*t^8.861 + 7*t^8.929 - t^4.326/y - (2*t^6.558)/y - t^6.977/y - (2*t^7.187)/y + (3*t^7.464)/y + (3*t^7.674)/y + (2*t^7.884)/y + (7*t^8.094)/y + (2*t^8.303)/y + (2*t^8.513)/y + t^8.723/y + t^8.79/y - t^4.326*y - 2*t^6.558*y - t^6.977*y - 2*t^7.187*y + 3*t^7.464*y + 3*t^7.674*y + 2*t^7.884*y + 7*t^8.094*y + 2*t^8.303*y + 2*t^8.513*y + t^8.723*y + t^8.79*y | 2*g1^8*t^2.232 + t^2.442/g1^2 + t^2.652/g1^12 + (2*t^2.861)/g1^22 + 2*g1^2*t^3.558 + t^3.768/g1^8 + g1^26*t^4.255 + 5*g1^16*t^4.464 + 2*g1^6*t^4.674 + (3*t^4.884)/g1^4 + (5*t^5.094)/g1^14 + g1^40*t^5.161 + t^5.303/g1^24 + (2*t^5.513)/g1^34 + (3*t^5.723)/g1^44 + 4*g1^10*t^5.79 - t^6. + t^6.21/g1^10 + (4*t^6.419)/g1^20 + 2*g1^34*t^6.487 + 6*g1^24*t^6.697 + 3*g1^14*t^6.906 + 7*g1^4*t^7.116 + (9*t^7.326)/g1^6 + 2*g1^48*t^7.393 + (3*t^7.536)/g1^16 + (5*t^7.745)/g1^26 + g1^28*t^7.813 + (7*t^7.955)/g1^36 + 7*g1^18*t^8.023 + (2*t^8.165)/g1^46 - 5*g1^8*t^8.232 + (3*t^8.374)/g1^56 - t^8.442/g1^2 + (4*t^8.584)/g1^66 + (4*t^8.652)/g1^12 + 5*g1^42*t^8.719 - (7*t^8.861)/g1^22 + 7*g1^32*t^8.929 - t^4.326/(g1^6*y) - (2*g1^2*t^6.558)/y - t^6.977/(g1^18*y) - (2*t^7.187)/(g1^28*y) + (3*g1^16*t^7.464)/y + (3*g1^6*t^7.674)/y + (2*t^7.884)/(g1^4*y) + (7*t^8.094)/(g1^14*y) + (2*t^8.303)/(g1^24*y) + (2*t^8.513)/(g1^34*y) + t^8.723/(g1^44*y) + (g1^10*t^8.79)/y - (t^4.326*y)/g1^6 - 2*g1^2*t^6.558*y - (t^6.977*y)/g1^18 - (2*t^7.187*y)/g1^28 + 3*g1^16*t^7.464*y + 3*g1^6*t^7.674*y + (2*t^7.884*y)/g1^4 + (7*t^8.094*y)/g1^14 + (2*t^8.303*y)/g1^24 + (2*t^8.513*y)/g1^34 + (t^8.723*y)/g1^44 + g1^10*t^8.79*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 |
|---|---|---|---|---|---|---|---|---|
| 6377 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{8}$ + ${ }M_{1}M_{9}$ | 0.6824 | 0.8588 | 0.7946 | [M:[1.0045, 0.8186, 1.0045, 0.8186, 1.1814, 0.7256, 0.7256, 1.1814, 0.9955], q:[0.5862, 0.4093], qb:[0.4093, 0.7721], phi:[0.4558]] | 2*t^2.177 + t^2.456 + t^2.735 + t^2.986 + t^3.014 + 2*t^3.544 + t^3.823 + t^4.075 + 5*t^4.354 + 2*t^4.633 + t^4.884 + 3*t^4.912 + 2*t^5.163 + 3*t^5.19 + t^5.442 + 5*t^5.721 + t^5.748 + t^5.973 - t^4.367/y - t^4.367*y | detail | {a: 14746/21609, c: 296941/345744, M1: 443/441, M2: 361/441, M3: 443/441, M4: 361/441, M5: 521/441, M6: 320/441, M7: 320/441, M8: 521/441, M9: 439/441, q1: 517/882, q2: 361/882, qb1: 361/882, qb2: 227/294, phi1: 67/147} |
| 6378 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{8}$ + ${ }M_{9}\phi_{1}q_{2}^{2}$ | 0.7037 | 0.8958 | 0.7856 | [M:[0.9612, 0.8147, 0.9612, 0.8147, 1.1853, 0.7414, 0.7414, 1.1853, 0.7414], q:[0.6315, 0.4073], qb:[0.4073, 0.778], phi:[0.444]] | 3*t^2.224 + t^2.444 + t^2.664 + 2*t^2.884 + 2*t^3.556 + t^4.229 + 8*t^4.448 + 3*t^4.668 + 4*t^4.888 + 7*t^5.108 + t^5.121 + t^5.328 + 2*t^5.547 + 3*t^5.767 + 6*t^5.78 - 3*t^6. - t^4.332/y - t^4.332*y | detail | |
| 6376 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{8}$ + ${ }M_{9}\phi_{1}^{2}$ | 0.6745 | 0.8441 | 0.7991 | [M:[0.979, 0.8163, 0.979, 0.8163, 1.1837, 0.7349, 0.7349, 1.1837, 1.1024], q:[0.6129, 0.4081], qb:[0.4081, 0.7756], phi:[0.4488]] | 2*t^2.205 + t^2.449 + 2*t^2.937 + t^3.307 + 2*t^3.551 + t^3.795 + t^4.166 + 5*t^4.41 + 2*t^4.654 + t^4.898 + t^5.024 + 4*t^5.142 + 2*t^5.512 + 5*t^5.756 + 3*t^5.874 - t^6. - t^4.346/y - t^4.346*y | detail | |
| 6371 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{8}$ + ${ }q_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}X_{2}$ + ${ }\phi_{1}^{2}X_{3}$ | 0.4399 | 0.5217 | 0.8433 | [X:[1.5385, 1.5385, 1.3846], M:[0.4615, 0.7692, 0.4615, 0.7692, 1.2308, 0.9231, 0.9231, 1.2308], q:[1.1538, 0.3846], qb:[0.3846, 0.8462], phi:[0.3077]] | t^2.308 + 2*t^2.769 + t^3.231 + t^4.154 + t^4.615 + 2*t^5.077 + 4*t^5.538 - 2*t^6. - t^3.923/y - t^3.923*y | detail | {a: 15465/35152, c: 9169/17576, X1: 20/13, X2: 20/13, X3: 18/13, M1: 6/13, M2: 10/13, M3: 6/13, M4: 10/13, M5: 16/13, M6: 12/13, M7: 12/13, M8: 16/13, q1: 15/13, q2: 5/13, qb1: 5/13, qb2: 11/13, phi1: 4/13} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2645 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.7 | 0.8875 | 0.7887 | [M:[0.9506, 0.8137, 0.9506, 0.8137, 1.1863, 0.7452, 0.7452], q:[0.6426, 0.4068], qb:[0.4068, 0.7795], phi:[0.4411]] | 2*t^2.236 + 2*t^2.441 + t^2.646 + 2*t^2.852 + t^3.559 + t^3.764 + t^4.266 + 5*t^4.471 + 4*t^4.677 + 5*t^4.882 + 6*t^5.087 + t^5.179 + 3*t^5.293 + 2*t^5.498 + 3*t^5.704 + 2*t^5.795 - t^6. - t^4.323/y - t^4.323*y | detail |