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 |
---|---|---|---|---|---|---|---|---|---|
4604 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{2}M_{8}$ | 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]] | [M:[[-2], [6], [15], [-11], [11], [-7], [-15], [-6]], q:[[-1], [3]], qb:[[-14], [8]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{1}$, ${ }M_{7}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{8}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{6}M_{7}$ | ${}$ | -1 | 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. + 2*t^6.045 + t^6.091 + t^6.43 + 2*t^6.475 + 2*t^6.521 + t^6.566 + t^6.906 + 3*t^6.951 + 3*t^6.996 + t^7.042 + t^7.336 + t^7.381 + 3*t^7.426 + 3*t^7.472 + t^7.517 + t^7.811 + 2*t^7.857 + 3*t^7.902 + 2*t^7.947 + t^7.993 + t^8.241 + t^8.287 + 3*t^8.377 + 2*t^8.423 + t^8.672 - t^8.762 + 2*t^8.853 + 2*t^8.898 - t^4.381/y - t^6.713/y + t^8.049/y + t^8.094/y + t^8.14/y + t^8.525/y + (2*t^8.57)/y + t^8.615/y + t^8.955/y - t^4.381*y - t^6.713*y + t^8.049*y + t^8.094*y + t^8.14*y + t^8.525*y + 2*t^8.57*y + t^8.615*y + t^8.955*y | t^2.332/g1^7 + g1^2*t^2.762 + t^2.808/g1^11 + g1^11*t^3.192 + t^3.238/g1^2 + t^3.283/g1^15 + g1^7*t^3.668 + t^3.713/g1^6 + g1^3*t^4.143 + t^4.189/g1^10 + g1^12*t^4.574 + t^4.619/g1 + (2*t^4.664)/g1^14 + t^4.71/g1^27 + g1^8*t^5.049 + t^5.094/g1^5 + t^5.14/g1^18 + g1^4*t^5.525 + t^5.57/g1^9 + t^5.615/g1^22 - t^6. + (2*t^6.045)/g1^13 + t^6.091/g1^26 + g1^9*t^6.43 + (2*t^6.475)/g1^4 + (2*t^6.521)/g1^17 + t^6.566/g1^30 + g1^5*t^6.906 + (3*t^6.951)/g1^8 + (3*t^6.996)/g1^21 + t^7.042/g1^34 + g1^14*t^7.336 + g1*t^7.381 + (3*t^7.426)/g1^12 + (3*t^7.472)/g1^25 + t^7.517/g1^38 + g1^10*t^7.811 + (2*t^7.857)/g1^3 + (3*t^7.902)/g1^16 + (2*t^7.947)/g1^29 + t^7.993/g1^42 + g1^19*t^8.241 + g1^6*t^8.287 + (3*t^8.377)/g1^20 + (2*t^8.423)/g1^33 + g1^28*t^8.672 - g1^2*t^8.762 + (2*t^8.853)/g1^24 + (2*t^8.898)/g1^37 - (g1*t^4.381)/y - t^6.713/(g1^6*y) + (g1^8*t^8.049)/y + t^8.094/(g1^5*y) + t^8.14/(g1^18*y) + (g1^4*t^8.525)/y + (2*t^8.57)/(g1^9*y) + t^8.615/(g1^22*y) + (g1^13*t^8.955)/y - g1*t^4.381*y - (t^6.713*y)/g1^6 + g1^8*t^8.049*y + (t^8.094*y)/g1^5 + (t^8.14*y)/g1^18 + g1^4*t^8.525*y + (2*t^8.57*y)/g1^9 + (t^8.615*y)/g1^22 + g1^13*t^8.955*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 |
---|---|---|---|---|---|---|---|---|
6137 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{2}M_{8}$ + ${ }M_{1}M_{9}$ | 0.689 | 0.8464 | 0.814 | [M:[1.0801, 0.7596, 0.8991, 0.9407, 1.0593, 0.7804, 1.1009, 1.2404, 0.9199], q:[0.5401, 0.3798], qb:[0.5609, 0.6795], phi:[0.4599]] | t^2.341 + 2*t^2.76 + t^2.822 + t^3.178 + t^3.303 + t^3.659 + t^3.721 + t^4.139 + t^4.202 + t^4.558 + t^4.62 + 2*t^4.683 + t^4.745 + t^5.038 + 2*t^5.101 + t^5.163 + 3*t^5.519 + t^5.582 + t^5.644 + t^5.938 - 2*t^6. - t^4.38/y - t^4.38*y | detail | |
6135 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{2}M_{8}$ + ${ }M_{4}M_{9}$ | 0.677 | 0.8253 | 0.8203 | [M:[1.0844, 0.7467, 0.8668, 0.9644, 1.0356, 0.7955, 1.1332, 1.2533, 1.0356], q:[0.5422, 0.3734], qb:[0.591, 0.6623], phi:[0.4578]] | t^2.386 + t^2.747 + 2*t^3.107 + t^3.253 + t^3.4 + t^3.614 + t^3.76 + t^4.12 + t^4.266 + t^4.48 + t^4.627 + 2*t^4.773 + t^4.919 + t^4.987 + t^5.133 + 2*t^5.493 + t^5.854 - 2*t^6. - t^4.373/y - t^4.373*y | detail | |
6136 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{2}M_{8}$ + ${ }M_{5}M_{9}$ | 0.6888 | 0.8492 | 0.8111 | [M:[1.0746, 0.7761, 0.9404, 0.9104, 1.0896, 0.7612, 1.0596, 1.2239, 0.9104], q:[0.5373, 0.3881], qb:[0.5223, 0.7015], phi:[0.4627]] | t^2.283 + 2*t^2.731 + t^2.776 + t^3.179 + t^3.224 + t^3.672 + t^3.717 + t^4.119 + t^4.164 + t^4.522 + 2*t^4.567 + t^4.612 + t^4.657 + 2*t^5.015 + t^5.06 + t^5.105 + 3*t^5.462 + 2*t^5.507 + 2*t^5.91 + 3*t^5.955 - 2*t^6. - t^4.388/y - t^4.388*y | detail | |
6134 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{2}M_{8}$ + ${ }M_{6}M_{9}$ | 0.6641 | 0.8026 | 0.8274 | [M:[1.0812, 0.7565, 0.8914, 0.9463, 1.0537, 0.784, 1.1086, 1.2435, 1.216], q:[0.5406, 0.3783], qb:[0.5681, 0.6754], phi:[0.4594]] | t^2.757 + t^2.839 + t^3.161 + t^3.243 + t^3.326 + 2*t^3.648 + t^3.73 + t^4.135 + t^4.217 + t^4.539 + t^4.622 + t^4.704 + t^4.787 + t^5.026 - 2*t^6. - t^4.378/y - t^4.378*y | detail | |
6138 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{2}M_{8}$ + ${ }M_{9}q_{1}\tilde{q}_{2}$ | 0.6996 | 0.8674 | 0.8065 | [M:[1.0775, 0.7674, 0.9184, 0.9265, 1.0735, 0.7714, 1.0816, 1.2326, 0.7714], q:[0.5388, 0.3837], qb:[0.5428, 0.6898], phi:[0.4612]] | 2*t^2.314 + t^2.767 + t^2.779 + t^3.221 + t^3.233 + t^3.245 + t^3.698 + t^4.151 + t^4.163 + t^4.604 + t^4.616 + 4*t^4.628 + t^4.64 + t^5.07 + 2*t^5.082 + 2*t^5.094 + 2*t^5.535 + 2*t^5.547 + 2*t^5.559 - 2*t^6. - t^4.384/y - t^4.384*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 |
---|---|---|---|---|---|---|---|---|---|
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]] | 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^4.379/y - t^4.379*y | detail |