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 |
|---|---|---|---|---|---|---|---|---|---|
| 46322 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}^{2}$ | 0.5526 | 0.6831 | 0.809 | [M:[0.9176, 1.0824, 1.0], q:[0.6264, 0.456], qb:[0.2912, 0.956], phi:[0.4176]] | [M:[[-2], [2], [0]], q:[[-3], [5]], qb:[[1], [5]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$ | 0 | t^2.242 + t^2.506 + t^2.753 + t^3. + t^3.247 + t^3.494 + t^3.742 + t^3.989 + t^4.236 + t^4.483 + 2*t^4.747 + t^4.994 + t^5.011 + t^5.242 + t^5.489 + t^5.506 + t^5.736 + t^5.753 + t^5.983 + t^6.23 + t^6.247 + t^6.477 + 2*t^6.494 - t^6.511 + t^6.725 + 2*t^6.742 - t^6.758 + 3*t^6.989 - t^7.006 + 3*t^7.236 + 3*t^7.483 - t^7.5 + t^7.517 + 2*t^7.73 + 3*t^7.977 + 2*t^8.225 - t^8.242 + 2*t^8.472 + t^8.489 - t^8.506 + t^8.719 + 2*t^8.736 - 2*t^8.753 + t^8.966 + 2*t^8.983 - t^4.253/y - t^6.758/y + (2*t^7.747)/y + t^7.994/y + t^8.242/y + t^8.258/y + t^8.489/y + t^8.506/y + t^8.736/y + (2*t^8.753)/y + t^8.983/y - t^4.253*y - t^6.758*y + 2*t^7.747*y + t^7.994*y + t^8.242*y + t^8.258*y + t^8.489*y + t^8.506*y + t^8.736*y + 2*t^8.753*y + t^8.983*y | g1^6*t^2.242 + t^2.506/g1^4 + t^2.753/g1^2 + t^3. + g1^2*t^3.247 + g1^4*t^3.494 + g1^6*t^3.742 + g1^8*t^3.989 + g1^10*t^4.236 + g1^12*t^4.483 + 2*g1^2*t^4.747 + g1^4*t^4.994 + t^5.011/g1^8 + g1^6*t^5.242 + g1^8*t^5.489 + t^5.506/g1^4 + g1^10*t^5.736 + t^5.753/g1^2 + g1^12*t^5.983 + g1^14*t^6.23 + g1^2*t^6.247 + g1^16*t^6.477 + 2*g1^4*t^6.494 - t^6.511/g1^8 + g1^18*t^6.725 + 2*g1^6*t^6.742 - t^6.758/g1^6 + 3*g1^8*t^6.989 - t^7.006/g1^4 + 3*g1^10*t^7.236 + 3*g1^12*t^7.483 - t^7.5 + t^7.517/g1^12 + 2*g1^14*t^7.73 + 3*g1^16*t^7.977 + 2*g1^18*t^8.225 - g1^6*t^8.242 + 2*g1^20*t^8.472 + g1^8*t^8.489 - t^8.506/g1^4 + g1^22*t^8.719 + 2*g1^10*t^8.736 - (2*t^8.753)/g1^2 + g1^24*t^8.966 + 2*g1^12*t^8.983 - t^4.253/(g1^2*y) - t^6.758/(g1^6*y) + (2*g1^2*t^7.747)/y + (g1^4*t^7.994)/y + (g1^6*t^8.242)/y + t^8.258/(g1^6*y) + (g1^8*t^8.489)/y + t^8.506/(g1^4*y) + (g1^10*t^8.736)/y + (2*t^8.753)/(g1^2*y) + (g1^12*t^8.983)/y - (t^4.253*y)/g1^2 - (t^6.758*y)/g1^6 + 2*g1^2*t^7.747*y + g1^4*t^7.994*y + g1^6*t^8.242*y + (t^8.258*y)/g1^6 + g1^8*t^8.489*y + (t^8.506*y)/g1^4 + g1^10*t^8.736*y + (2*t^8.753*y)/g1^2 + g1^12*t^8.983*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 |
|---|---|---|---|---|---|---|---|---|
| 46710 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{2}M_{4}$ | 0.5604 | 0.6948 | 0.8065 | [M:[0.9129, 1.0871, 1.0, 0.9129], q:[0.6194, 0.4677], qb:[0.2935, 0.9677], phi:[0.4129]] | t^2.284 + t^2.477 + 2*t^2.739 + t^3. + t^3.523 + t^3.784 + t^4.045 + t^4.306 + t^4.568 + 2*t^4.761 + t^4.955 + 2*t^5.023 + t^5.216 + t^5.284 + 3*t^5.477 + t^5.739 + t^5.806 - t^6. - t^4.239/y - t^4.239*y | detail | |
| 46415 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ | 0.5367 | 0.6539 | 0.8208 | [M:[0.875, 1.125, 1.0], q:[0.5625, 0.5625], qb:[0.3125, 1.0625], phi:[0.375]] | t^2.25 + 2*t^2.625 + t^3. + t^3.375 + t^3.75 + t^4.125 + 2*t^4.5 + 3*t^4.875 + 3*t^5.25 + 2*t^5.625 - t^4.125/y - t^4.125*y | detail | {a: 8793/16384, c: 10713/16384, M1: 7/8, M2: 9/8, M3: 1, q1: 9/16, q2: 9/16, qb1: 5/16, qb2: 17/16, phi1: 3/8} |
| 46745 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.5673 | 0.7067 | 0.8027 | [M:[0.9104, 1.0896, 1.0, 0.8208], q:[0.6156, 0.474], qb:[0.2948, 0.974], phi:[0.4104]] | t^2.307 + 2*t^2.462 + t^2.731 + t^3. + t^3.269 + t^3.807 + t^4.075 + t^4.344 + t^4.613 + 3*t^4.769 + 3*t^4.925 + t^5.038 + t^5.193 + t^5.307 + 2*t^5.462 + t^5.575 + 2*t^5.731 - t^6. - t^4.231/y - t^4.231*y | detail | |
| 46785 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ | 0.5719 | 0.7171 | 0.7975 | [M:[0.912, 1.088, 1.0, 0.7359], q:[0.6179, 0.4701], qb:[0.294, 0.9701], phi:[0.412]] | t^2.208 + t^2.292 + t^2.472 + t^2.736 + t^3. + t^3.264 + t^3.528 + t^4.057 + t^4.321 + t^4.415 + t^4.5 + t^4.585 + t^4.679 + 2*t^4.764 + 2*t^4.943 + t^5.028 + t^5.208 + t^5.292 + 2*t^5.472 + t^5.557 + 2*t^5.736 + t^5.821 - t^4.236/y - t^4.236*y | detail | |
| 46794 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$ | 0.5498 | 0.6748 | 0.8147 | [M:[0.9, 1.1, 1.0], q:[0.6, 0.5], qb:[0.3, 1.0], phi:[0.4]] | 2*t^2.4 + t^2.7 + t^3. + t^3.3 + t^3.6 + t^3.9 + t^4.2 + t^4.5 + 4*t^4.8 + t^5.1 + 2*t^5.4 + 2*t^5.7 + t^6. - t^4.2/y - t^4.2*y | detail | {a: 2199/4000, c: 2699/4000, M1: 9/10, M2: 11/10, M3: 1, q1: 3/5, q2: 1/2, qb1: 3/10, qb2: 1, phi1: 2/5} |
| 46797 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 0.5526 | 0.6828 | 0.8093 | [M:[0.9167, 1.0833, 1.0], q:[0.625, 0.4583], qb:[0.2917, 0.9583], phi:[0.4167]] | t^2.25 + t^2.5 + t^2.75 + t^3. + t^3.25 + t^3.5 + t^3.75 + t^4. + t^4.25 + t^4.5 + 2*t^4.75 + 2*t^5. + t^5.25 + 2*t^5.5 + 2*t^5.75 + t^6. - t^4.25/y - t^4.25*y | detail | {a: 3395/6144, c: 4195/6144, M1: 11/12, M2: 13/12, M3: 1, q1: 5/8, q2: 11/24, qb1: 7/24, qb2: 23/24, phi1: 5/12} |
| 46594 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 0.474 | 0.5573 | 0.8505 | [X:[1.3333], M:[0.8333, 1.1667, 1.0], q:[0.5, 0.6667], qb:[0.3333, 1.1667], phi:[0.3333]] | t^2.5 + 2*t^3. + t^3.5 + 2*t^4. + 2*t^5. + t^5.5 - t^4./y - t^4.*y | detail | {a: 91/192, c: 107/192, X1: 4/3, M1: 5/6, M2: 7/6, M3: 1, q1: 1/2, q2: 2/3, qb1: 1/3, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 46007 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ | 0.5883 | 0.7268 | 0.8095 | [M:[1.0196, 0.9804, 0.7451], q:[0.5882, 0.3922], qb:[0.4314, 1.0196], phi:[0.3922]] | t^2.235 + t^2.353 + t^2.471 + t^2.941 + t^3.059 + t^3.529 + t^3.647 + t^4.235 + t^4.353 + t^4.471 + t^4.588 + 2*t^4.706 + 2*t^4.824 + t^4.941 + t^5.176 + t^5.294 + t^5.412 + t^5.529 + t^5.765 + 2*t^5.882 - t^4.176/y - t^4.176*y | detail | {a: 8161/13872, c: 5041/6936, M1: 52/51, M2: 50/51, M3: 38/51, q1: 10/17, q2: 20/51, qb1: 22/51, qb2: 52/51, phi1: 20/51} |