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 |
|---|---|---|---|---|---|---|---|---|---|
| 2552 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ | 0.7003 | 0.8676 | 0.8071 | [M:[1.0806, 0.7583, 0.8957, 0.9432, 1.0568, 0.782, 1.1043], q:[0.5403, 0.3791], qb:[0.564, 0.6777], phi:[0.4597]] | [M:[[-2], [6], [15], [-11], [11], [-7], [-15]], q:[[-1], [3]], qb:[[-14], [8]], phi:[[1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{1}$, ${ }M_{7}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{5}\phi_{1}^{2}$ | ${}$ | -1 | t^2.275 + t^2.346 + t^2.758 + t^2.83 + t^3.17 + t^3.242 + t^3.313 + t^3.654 + t^4.137 + t^4.209 + 2*t^4.55 + 2*t^4.621 + 2*t^4.692 + t^4.763 + 2*t^5.033 + 2*t^5.104 + t^5.176 + t^5.445 + 2*t^5.517 + 2*t^5.588 + t^5.659 + t^5.929 - t^6. + t^6.071 + t^6.142 + 2*t^6.412 + 2*t^6.483 + t^6.555 + t^6.626 + 2*t^6.824 + 2*t^6.896 + 4*t^6.967 + 3*t^7.038 + t^7.109 + 3*t^7.308 + 2*t^7.379 + 3*t^7.45 + 3*t^7.522 + t^7.593 + t^7.72 + 3*t^7.791 + 3*t^7.863 + 3*t^7.934 + 2*t^8.005 + t^8.076 + 2*t^8.204 - t^8.275 + 2*t^8.417 + t^8.489 + t^8.616 + 2*t^8.687 + 2*t^8.901 + 2*t^8.972 - t^4.379/y - t^6.654/y - t^6.725/y + t^7.621/y + (2*t^8.033)/y + (3*t^8.104)/y + t^8.176/y + t^8.445/y + (2*t^8.517)/y + (3*t^8.588)/y + t^8.659/y + t^8.929/y - t^4.379*y - t^6.654*y - t^6.725*y + t^7.621*y + 2*t^8.033*y + 3*t^8.104*y + t^8.176*y + t^8.445*y + 2*t^8.517*y + 3*t^8.588*y + t^8.659*y + t^8.929*y | g1^6*t^2.275 + t^2.346/g1^7 + g1^2*t^2.758 + t^2.83/g1^11 + g1^11*t^3.17 + t^3.242/g1^2 + t^3.313/g1^15 + g1^7*t^3.654 + g1^3*t^4.137 + t^4.209/g1^10 + 2*g1^12*t^4.55 + (2*t^4.621)/g1 + (2*t^4.692)/g1^14 + t^4.763/g1^27 + 2*g1^8*t^5.033 + (2*t^5.104)/g1^5 + t^5.176/g1^18 + g1^17*t^5.445 + 2*g1^4*t^5.517 + (2*t^5.588)/g1^9 + t^5.659/g1^22 + g1^13*t^5.929 - t^6. + t^6.071/g1^13 + t^6.142/g1^26 + 2*g1^9*t^6.412 + (2*t^6.483)/g1^4 + t^6.555/g1^17 + t^6.626/g1^30 + 2*g1^18*t^6.824 + 2*g1^5*t^6.896 + (4*t^6.967)/g1^8 + (3*t^7.038)/g1^21 + t^7.109/g1^34 + 3*g1^14*t^7.308 + 2*g1*t^7.379 + (3*t^7.45)/g1^12 + (3*t^7.522)/g1^25 + t^7.593/g1^38 + g1^23*t^7.72 + 3*g1^10*t^7.791 + (3*t^7.863)/g1^3 + (3*t^7.934)/g1^16 + (2*t^8.005)/g1^29 + t^8.076/g1^42 + 2*g1^19*t^8.204 - g1^6*t^8.275 + (2*t^8.417)/g1^20 + t^8.489/g1^33 + g1^28*t^8.616 + 2*g1^15*t^8.687 + (2*t^8.901)/g1^24 + (2*t^8.972)/g1^37 - (g1*t^4.379)/y - (g1^7*t^6.654)/y - t^6.725/(g1^6*y) + t^7.621/(g1*y) + (2*g1^8*t^8.033)/y + (3*t^8.104)/(g1^5*y) + t^8.176/(g1^18*y) + (g1^17*t^8.445)/y + (2*g1^4*t^8.517)/y + (3*t^8.588)/(g1^9*y) + t^8.659/(g1^22*y) + (g1^13*t^8.929)/y - g1*t^4.379*y - g1^7*t^6.654*y - (t^6.725*y)/g1^6 + (t^7.621*y)/g1 + 2*g1^8*t^8.033*y + (3*t^8.104*y)/g1^5 + (t^8.176*y)/g1^18 + g1^17*t^8.445*y + 2*g1^4*t^8.517*y + (3*t^8.588*y)/g1^9 + (t^8.659*y)/g1^22 + g1^13*t^8.929*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 |
|---|---|---|---|---|---|---|---|---|
| 4609 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{1}M_{8}$ | 0.7077 | 0.8799 | 0.8043 | [M:[1.0814, 0.7557, 0.8893, 0.9479, 1.0521, 0.785, 1.1107, 0.9186], q:[0.5407, 0.3779], qb:[0.57, 0.6743], phi:[0.4593]] | t^2.267 + t^2.355 + 2*t^2.756 + t^2.844 + t^3.156 + t^3.332 + t^3.645 + t^4.134 + t^4.221 + 2*t^4.534 + 2*t^4.622 + 2*t^4.71 + t^4.798 + 3*t^5.023 + 3*t^5.111 + t^5.199 + t^5.423 + 3*t^5.511 + 2*t^5.599 + t^5.687 + 2*t^5.912 - 2*t^6. - t^4.378/y - t^4.378*y | detail | |
| 4604 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{2}M_{8}$ | 0.6817 | 0.8345 | 0.8169 | [M:[1.0792, 0.7623, 0.9056, 0.9359, 1.0641, 0.7774, 1.0944, 1.2377], q:[0.5396, 0.3811], qb:[0.5547, 0.683], phi:[0.4604]] | t^2.332 + t^2.762 + t^2.808 + t^3.192 + t^3.238 + t^3.283 + t^3.668 + t^3.713 + t^4.143 + t^4.189 + t^4.574 + t^4.619 + 2*t^4.664 + t^4.71 + t^5.049 + t^5.094 + t^5.14 + t^5.525 + t^5.57 + t^5.615 - t^6. - t^4.381/y - t^4.381*y | detail | |
| 4607 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{4}M_{8}$ | 0.6962 | 0.8605 | 0.8091 | [M:[1.0856, 0.7431, 0.8576, 0.9711, 1.0289, 0.7998, 1.1424, 1.0289], q:[0.5428, 0.3715], qb:[0.5995, 0.6574], phi:[0.4572]] | t^2.229 + t^2.399 + t^2.743 + 2*t^3.087 + t^3.257 + t^3.427 + t^3.601 + t^4.115 + t^4.285 + 2*t^4.458 + 2*t^4.628 + 2*t^4.799 + t^4.969 + 2*t^4.972 + t^5.142 + 2*t^5.316 + 3*t^5.486 + t^5.656 + 2*t^5.83 - 2*t^6. - t^4.372/y - t^4.372*y | detail | |
| 4601 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{4}^{2}$ | 0.6949 | 0.8597 | 0.8083 | [M:[1.0909, 0.7273, 0.8182, 1.0, 1.0, 0.8182, 1.1818], q:[0.5455, 0.3636], qb:[0.6364, 0.6364], phi:[0.4545]] | t^2.182 + t^2.455 + t^2.727 + 2*t^3. + t^3.273 + 2*t^3.545 + t^4.091 + 3*t^4.364 + 2*t^4.636 + 4*t^4.909 + 4*t^5.182 + 3*t^5.455 + 3*t^5.727 - t^4.364/y - t^4.364*y | detail | {a: 14799/21296, c: 4577/5324, M1: 12/11, M2: 8/11, M3: 9/11, M4: 1, M5: 1, M6: 9/11, M7: 13/11, q1: 6/11, q2: 4/11, qb1: 7/11, qb2: 7/11, phi1: 5/11} |
| 4608 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{5}M_{8}$ | 0.7067 | 0.8803 | 0.8028 | [M:[1.076, 0.772, 0.9301, 0.9179, 1.0821, 0.766, 1.0699, 0.9179], q:[0.538, 0.386], qb:[0.5319, 0.6961], phi:[0.462]] | t^2.298 + t^2.316 + 2*t^2.754 + t^2.772 + t^3.21 + t^3.228 + t^3.702 + t^4.14 + t^4.158 + t^4.577 + 2*t^4.596 + 2*t^4.614 + 2*t^4.632 + 2*t^5.052 + 3*t^5.07 + 2*t^5.088 + 3*t^5.508 + 3*t^5.526 + t^5.544 + 2*t^5.963 + 2*t^5.982 - 2*t^6. - t^4.386/y - t^4.386*y | detail | |
| 4603 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.6996 | 0.8678 | 0.8061 | [M:[1.0769, 0.7692, 0.9231, 0.9231, 1.0769, 0.7692, 1.0769], q:[0.5385, 0.3846], qb:[0.5385, 0.6923], phi:[0.4615]] | 2*t^2.308 + 2*t^2.769 + 3*t^3.231 + t^3.692 + 2*t^4.154 + 7*t^4.615 + 5*t^5.077 + 6*t^5.538 + 2*t^6. - t^4.385/y - t^4.385*y | detail | {a: 24591/35152, c: 15253/17576, M1: 14/13, M2: 10/13, M3: 12/13, M4: 12/13, M5: 14/13, M6: 10/13, M7: 14/13, q1: 7/13, q2: 5/13, qb1: 7/13, qb2: 9/13, phi1: 6/13} |
| 4605 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{6}M_{8}$ | 0.6829 | 0.8366 | 0.8163 | [M:[1.0825, 0.7525, 0.8813, 0.9537, 1.0463, 0.7887, 1.1187, 1.2113], q:[0.5412, 0.3763], qb:[0.5775, 0.67], phi:[0.4588]] | t^2.258 + t^2.753 + t^2.861 + t^3.139 + t^3.247 + t^3.356 + 2*t^3.634 + t^4.129 + t^4.237 + 2*t^4.515 + t^4.624 + t^4.732 + t^4.841 + 2*t^5.01 + t^5.119 + t^5.396 + t^5.505 + t^5.614 + 2*t^5.891 - 2*t^6. - t^4.376/y - t^4.376*y | detail | |
| 4606 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.6929 | 0.8555 | 0.8099 | [M:[1.0797, 0.7608, 0.9021, 0.9385, 1.0615, 0.779, 1.0979, 1.0797], q:[0.5399, 0.3804], qb:[0.5581, 0.6811], phi:[0.4601]] | t^2.282 + t^2.337 + t^2.815 + t^3.185 + 2*t^3.239 + t^3.294 + t^3.663 + t^4.141 + t^4.196 + 2*t^4.565 + 2*t^4.62 + 2*t^4.674 + t^4.729 + t^5.043 + t^5.098 + t^5.153 + t^5.467 + 2*t^5.522 + 2*t^5.576 + t^5.631 - 2*t^6. - t^4.38/y - t^4.38*y | detail | |
| 4610 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ | 0.7179 | 0.8997 | 0.798 | [M:[1.0788, 0.7635, 0.9086, 0.9337, 1.0663, 0.776, 1.0914, 0.776], q:[0.5394, 0.3817], qb:[0.5519, 0.6846], phi:[0.4606]] | t^2.29 + 2*t^2.328 + t^2.763 + t^2.801 + t^3.199 + t^3.237 + t^3.274 + t^4.145 + t^4.183 + 2*t^4.581 + 3*t^4.618 + 4*t^4.656 + t^4.693 + 2*t^5.054 + 3*t^5.091 + 2*t^5.129 + t^5.489 + 3*t^5.527 + 3*t^5.564 + 2*t^5.602 - 2*t^6. - t^4.382/y - t^4.382*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1475 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.7115 | 0.8866 | 0.8025 | [M:[1.0862, 0.7414, 0.8534, 0.9742, 1.0258, 0.8017], q:[0.5431, 0.3707], qb:[0.6035, 0.6552], phi:[0.4569]] | t^2.224 + t^2.405 + t^2.56 + t^2.741 + t^2.923 + t^3.077 + t^3.259 + t^3.595 + t^4.112 + t^4.293 + 2*t^4.448 + 2*t^4.629 + t^4.784 + 2*t^4.81 + 3*t^4.965 + t^4.992 + t^5.12 + 2*t^5.147 + 2*t^5.302 + t^5.328 + 3*t^5.483 + t^5.638 + t^5.664 + 2*t^5.819 - t^6. - t^4.371/y - t^4.371*y | detail |