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 |
|---|---|---|---|---|---|---|---|---|---|
| 46384 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ | 0.6363 | 0.7853 | 0.8103 | [M:[1.1492, 0.7237, 0.8508, 0.8085], q:[0.4042, 0.4466], qb:[0.872, 0.7449], phi:[0.3831]] | [M:[[12], [18], [-12], [-2]], q:[[-1], [-11]], qb:[[-17], [13]], phi:[[4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}^{3}q_{1}^{2}$ | ${}\phi_{1}^{3}q_{1}q_{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$ | 1 | t^2.171 + t^2.298 + t^2.425 + t^2.553 + t^3.447 + t^3.575 + t^3.702 + t^3.829 + t^3.956 + t^4.342 + t^4.47 + 2*t^4.597 + 2*t^4.724 + 3*t^4.851 + t^4.978 + t^5.105 + t^5.619 + t^5.746 + t^5.873 + t^6. + 2*t^6.127 + 2*t^6.254 + 2*t^6.381 + t^6.508 + t^6.514 + t^6.641 + 2*t^6.768 + 3*t^6.895 + 3*t^7.022 + 3*t^7.149 + 2*t^7.276 + 2*t^7.403 + t^7.53 + 2*t^7.658 + t^7.785 + t^7.79 + t^7.912 + t^7.917 + t^8.044 + t^8.298 - t^8.425 + t^8.553 + 2*t^8.68 + t^8.685 + 3*t^8.807 + t^8.812 + 2*t^8.934 + 2*t^8.939 - t^4.149/y - t^6.32/y - t^6.447/y - t^6.575/y + t^7.47/y + t^7.597/y + (3*t^7.724)/y + (2*t^7.851)/y + (2*t^7.978)/y - t^8.492/y + (2*t^8.873)/y - t^4.149*y - t^6.32*y - t^6.447*y - t^6.575*y + t^7.47*y + t^7.597*y + 3*t^7.724*y + 2*t^7.851*y + 2*t^7.978*y - t^8.492*y + 2*t^8.873*y | g1^18*t^2.171 + g1^8*t^2.298 + t^2.425/g1^2 + t^2.553/g1^12 + g1^12*t^3.447 + g1^2*t^3.575 + t^3.702/g1^8 + t^3.829/g1^18 + t^3.956/g1^28 + g1^36*t^4.342 + g1^26*t^4.47 + 2*g1^16*t^4.597 + 2*g1^6*t^4.724 + (3*t^4.851)/g1^4 + t^4.978/g1^14 + t^5.105/g1^24 + g1^30*t^5.619 + g1^20*t^5.746 + g1^10*t^5.873 + t^6. + (2*t^6.127)/g1^10 + (2*t^6.254)/g1^20 + (2*t^6.381)/g1^30 + t^6.508/g1^40 + g1^54*t^6.514 + g1^44*t^6.641 + 2*g1^34*t^6.768 + 3*g1^24*t^6.895 + 3*g1^14*t^7.022 + 3*g1^4*t^7.149 + (2*t^7.276)/g1^6 + (2*t^7.403)/g1^16 + t^7.53/g1^26 + (2*t^7.658)/g1^36 + t^7.785/g1^46 + g1^48*t^7.79 + t^7.912/g1^56 + g1^38*t^7.917 + g1^28*t^8.044 + g1^8*t^8.298 - t^8.425/g1^2 + t^8.553/g1^12 + (2*t^8.68)/g1^22 + g1^72*t^8.685 + (3*t^8.807)/g1^32 + g1^62*t^8.812 + (2*t^8.934)/g1^42 + 2*g1^52*t^8.939 - (g1^4*t^4.149)/y - (g1^22*t^6.32)/y - (g1^12*t^6.447)/y - (g1^2*t^6.575)/y + (g1^26*t^7.47)/y + (g1^16*t^7.597)/y + (3*g1^6*t^7.724)/y + (2*t^7.851)/(g1^4*y) + (2*t^7.978)/(g1^14*y) - (g1^40*t^8.492)/y + (2*g1^10*t^8.873)/y - g1^4*t^4.149*y - g1^22*t^6.32*y - g1^12*t^6.447*y - g1^2*t^6.575*y + g1^26*t^7.47*y + g1^16*t^7.597*y + 3*g1^6*t^7.724*y + (2*t^7.851*y)/g1^4 + (2*t^7.978*y)/g1^14 - g1^40*t^8.492*y + 2*g1^10*t^8.873*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 |
|---|---|---|---|---|---|---|---|---|
| 46885 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ | 0.6166 | 0.7496 | 0.8226 | [M:[1.1606, 0.7408, 0.8394, 0.8066, 1.2592], q:[0.4033, 0.4362], qb:[0.8559, 0.7573], phi:[0.3869]] | t^2.321 + t^2.42 + t^2.518 + t^3.482 + t^3.58 + t^3.679 + 2*t^3.777 + t^3.876 + t^4.642 + t^4.741 + 3*t^4.839 + t^4.938 + t^5.037 - t^4.161/y - t^4.161*y | detail | |
| 48162 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ | 0.6548 | 0.8185 | 0.8 | [M:[1.1429, 0.7143, 0.8571, 0.8095, 0.7619], q:[0.4048, 0.4524], qb:[0.881, 0.7381], phi:[0.381]] | t^2.143 + 2*t^2.286 + t^2.429 + t^2.571 + t^3.429 + t^3.571 + t^3.857 + t^4. + t^4.286 + 2*t^4.429 + 4*t^4.571 + 3*t^4.714 + 4*t^4.857 + t^5. + t^5.143 + t^5.571 + 2*t^5.714 + t^5.857 - t^4.143/y - t^4.143*y | detail | {a: 55/84, c: 275/336, M1: 8/7, M2: 5/7, M3: 6/7, M4: 17/21, M5: 16/21, q1: 17/42, q2: 19/42, qb1: 37/42, qb2: 31/42, phi1: 8/21} |
| 47240 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ | 0.6523 | 0.8133 | 0.8021 | [M:[1.1513, 0.727, 0.8487, 0.8081, 0.8081], q:[0.4041, 0.4446], qb:[0.869, 0.7472], phi:[0.3838]] | t^2.181 + t^2.303 + 2*t^2.424 + t^2.546 + t^3.454 + t^3.697 + t^3.819 + t^3.941 + t^4.362 + t^4.483 + 3*t^4.605 + 3*t^4.727 + 5*t^4.849 + 2*t^4.97 + t^5.092 + t^5.635 + t^5.878 - t^4.151/y - t^4.151*y | detail | |
| 48204 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.6181 | 0.7529 | 0.821 | [M:[1.1559, 0.7339, 0.8441, 0.8073, 1.2294], q:[0.4037, 0.4404], qb:[0.8625, 0.7522], phi:[0.3853]] | t^2.202 + t^2.422 + t^2.532 + t^3.468 + t^3.578 + 2*t^3.688 + t^3.798 + t^3.909 + t^4.403 + t^4.624 + t^4.734 + 2*t^4.844 + t^4.954 + t^5.065 + t^5.669 + t^5.89 - t^4.156/y - t^4.156*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46225 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6366 | 0.7855 | 0.8105 | [M:[1.1465, 0.7368, 0.8535, 0.7919], q:[0.396, 0.4575], qb:[0.8673, 0.7506], phi:[0.3822]] | t^2.21 + t^2.293 + t^2.376 + t^2.56 + t^3.44 + t^3.522 + t^3.707 + t^3.892 + t^3.974 + t^4.421 + t^4.503 + 2*t^4.586 + t^4.669 + t^4.751 + t^4.771 + 2*t^4.853 + t^4.936 + t^5.121 + t^5.65 + t^5.733 + t^5.815 + t^5.898 - t^6. - t^4.147/y - t^4.147*y | detail |