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 |
|---|---|---|---|---|---|---|---|---|---|
| 46075 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{2}$ | 0.5614 | 0.6887 | 0.8152 | [M:[1.0618, 0.9382], q:[0.611, 0.3272], qb:[0.4508, 0.9817], phi:[0.4073]] | [M:[[4], [-4]], q:[[-9], [5]], qb:[[13], [15]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$ | 0 | t^2.334 + t^2.444 + t^2.815 + 2*t^3.185 + t^3.556 + 2*t^3.927 + t^4.297 + t^4.668 + 2*t^4.778 + t^4.888 + t^5.149 + 2*t^5.519 + t^5.629 + t^5.89 + 2*t^6.261 + 3*t^6.371 - t^6.481 + t^6.631 + 2*t^6.741 - 2*t^6.851 + t^7.002 + 5*t^7.112 + t^7.332 + 3*t^7.483 - 2*t^7.593 + 5*t^7.853 + 3*t^8.224 - t^8.334 - 2*t^8.444 + 3*t^8.595 + 3*t^8.705 - 2*t^8.815 + t^8.965 - t^4.222/y - t^6.666/y + (2*t^7.778)/y + t^8.149/y + t^8.259/y + (2*t^8.519)/y + (2*t^8.629)/y + t^8.89/y - t^4.222*y - t^6.666*y + 2*t^7.778*y + t^8.149*y + t^8.259*y + 2*t^8.519*y + 2*t^8.629*y + t^8.89*y | g1^18*t^2.334 + t^2.444/g1^12 + t^2.815/g1^4 + 2*g1^4*t^3.185 + g1^12*t^3.556 + 2*g1^20*t^3.927 + g1^28*t^4.297 + g1^36*t^4.668 + 2*g1^6*t^4.778 + t^4.888/g1^24 + g1^14*t^5.149 + 2*g1^22*t^5.519 + t^5.629/g1^8 + g1^30*t^5.89 + 2*g1^38*t^6.261 + 3*g1^8*t^6.371 - t^6.481/g1^22 + g1^46*t^6.631 + 2*g1^16*t^6.741 - (2*t^6.851)/g1^14 + g1^54*t^7.002 + 5*g1^24*t^7.112 + t^7.332/g1^36 + 3*g1^32*t^7.483 - 2*g1^2*t^7.593 + 5*g1^40*t^7.853 + 3*g1^48*t^8.224 - g1^18*t^8.334 - (2*t^8.444)/g1^12 + 3*g1^56*t^8.595 + 3*g1^26*t^8.705 - (2*t^8.815)/g1^4 + g1^64*t^8.965 - t^4.222/(g1^6*y) - t^6.666/(g1^18*y) + (2*g1^6*t^7.778)/y + (g1^14*t^8.149)/y + t^8.259/(g1^16*y) + (2*g1^22*t^8.519)/y + (2*t^8.629)/(g1^8*y) + (g1^30*t^8.89)/y - (t^4.222*y)/g1^6 - (t^6.666*y)/g1^18 + 2*g1^6*t^7.778*y + g1^14*t^8.149*y + (t^8.259*y)/g1^16 + 2*g1^22*t^8.519*y + (2*t^8.629*y)/g1^8 + g1^30*t^8.89*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 |
|---|---|---|---|---|---|---|---|---|
| 46155 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{1}M_{3}$ | 0.5673 | 0.6974 | 0.8134 | [M:[1.0642, 0.9358, 0.9358], q:[0.6055, 0.3303], qb:[0.4587, 0.9908], phi:[0.4037]] | t^2.367 + t^2.422 + 2*t^2.807 + t^3.193 + t^3.578 + 2*t^3.963 + t^4.348 + t^4.734 + 2*t^4.789 + t^4.844 + 2*t^5.174 + t^5.23 + t^5.559 + 2*t^5.615 + t^5.945 - t^4.211/y - t^4.211*y | detail | |
| 46108 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ | 0.4422 | 0.5047 | 0.8762 | [X:[1.4286], M:[1.1429, 0.8571], q:[0.4286, 0.4286], qb:[0.7143, 1.2857], phi:[0.2857]] | t^2.571 + 3*t^3.429 + t^4.286 + t^5.143 - t^6. - t^3.857/y - t^3.857*y | detail | {a: 2427/5488, c: 1385/2744, X1: 10/7, M1: 8/7, M2: 6/7, q1: 3/7, q2: 3/7, qb1: 5/7, qb2: 9/7, phi1: 2/7} |
| 46112 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ | 0.5822 | 0.7285 | 0.7991 | [M:[1.0631, 0.9369, 0.6846], q:[0.608, 0.3289], qb:[0.455, 0.9866], phi:[0.4054]] | t^2.054 + t^2.352 + t^2.432 + t^2.811 + 2*t^3.189 + t^3.568 + t^3.946 + t^4.107 + t^4.325 + t^4.405 + t^4.486 + t^4.703 + 2*t^4.784 + 2*t^4.864 + t^5.162 + 2*t^5.243 + 2*t^5.541 + 2*t^5.621 + t^5.92 + t^6. - t^4.216/y - t^4.216*y | detail | |
| 46280 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$ | 0.561 | 0.686 | 0.8178 | [M:[1.0667, 0.9333], q:[0.6, 0.3333], qb:[0.4667, 1.0], phi:[0.4]] | 2*t^2.4 + t^2.8 + 2*t^3.2 + t^3.6 + 2*t^4. + t^4.4 + 4*t^4.8 + t^5.2 + 3*t^5.6 + t^6. - t^4.2/y - t^4.2*y | detail | {a: 561/1000, c: 343/500, M1: 16/15, M2: 14/15, q1: 3/5, q2: 1/3, qb1: 7/15, qb2: 1, phi1: 2/5} |
| 46088 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.5466 | 0.6602 | 0.8279 | [M:[1.0909, 0.9091], q:[0.5455, 0.3636], qb:[0.5455, 1.0909], phi:[0.3636]] | t^2.182 + 2*t^2.727 + 2*t^3.273 + t^3.818 + 3*t^4.364 + 3*t^4.909 + 3*t^5.455 + t^6. - t^4.091/y - t^4.091*y | detail | {a: 1455/2662, c: 3515/5324, M1: 12/11, M2: 10/11, q1: 6/11, q2: 4/11, qb1: 6/11, qb2: 12/11, phi1: 4/11} |
| 46107 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 0.3165 | 0.3415 | 0.9268 | [X:[1.6], M:[1.2, 0.8], q:[0.3, 0.5], qb:[0.9, 1.5], phi:[0.2]] | t^2.4 + t^3.6 + t^4.8 - t^3.6/y - t^3.6*y | detail | {a: 633/2000, c: 683/2000, X1: 8/5, M1: 6/5, M2: 4/5, q1: 3/10, q2: 1/2, qb1: 9/10, qb2: 3/2, phi1: 1/5} |
| 46328 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 0.5 | 0.5833 | 0.8571 | [X:[1.3333], M:[1.1111, 0.8889], q:[0.5, 0.3889], qb:[0.6111, 1.1667], phi:[0.3333]] | t^2.667 + t^3. + 2*t^3.333 + 2*t^4. + t^4.667 + t^5. - t^4./y - t^4.*y | detail | {a: 1/2, c: 7/12, X1: 4/3, M1: 10/9, M2: 8/9, q1: 1/2, q2: 7/18, qb1: 11/18, qb2: 7/6, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 45884 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ | 0.6486 | 0.7977 | 0.8132 | [M:[0.6859, 0.6962], q:[0.8388, 0.4753], qb:[0.4649, 0.8079], phi:[0.3533]] | t^2.058 + t^2.089 + t^2.12 + t^2.821 + t^3.819 + 2*t^3.849 + t^3.88 + t^3.911 + t^4.115 + t^4.146 + 2*t^4.177 + t^4.208 + t^4.239 + t^4.878 + t^4.909 + 2*t^4.94 + t^5.641 + t^5.876 + 3*t^5.907 + 3*t^5.938 + 2*t^5.969 - t^6. - t^4.06/y - t^4.06*y | detail |