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 |
|---|---|---|---|---|---|---|---|---|---|
| 4607 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{4}M_{8}$ | 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]] | [M:[[-2], [6], [15], [-11], [11], [-7], [-15], [11]], q:[[-1], [3]], qb:[[-14], [8]], phi:[[1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{8}$, ${ }M_{1}$, ${ }M_{7}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{8}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}M_{8}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$ | ${}$ | -2 | 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. + 2*t^6.174 + 3*t^6.344 + 2*t^6.514 + t^6.684 + 3*t^6.688 + t^6.854 + 2*t^6.858 + 3*t^7.028 + 2*t^7.198 + 4*t^7.201 + t^7.368 + t^7.372 + t^7.542 + 3*t^7.545 + t^7.712 + 5*t^7.715 + 3*t^7.885 + 2*t^8.056 + 4*t^8.059 + t^8.226 - t^8.229 + t^8.396 - 2*t^8.399 + 3*t^8.403 + 5*t^8.573 + t^8.913 + 4*t^8.917 - t^4.372/y - t^6.601/y - t^6.771/y + t^7.285/y - t^7.458/y + t^7.628/y + (2*t^7.972)/y + (2*t^8.142)/y + (2*t^8.316)/y + (3*t^8.486)/y + (2*t^8.656)/y + t^8.826/y + (2*t^8.83)/y - t^4.372*y - t^6.601*y - t^6.771*y + t^7.285*y - t^7.458*y + t^7.628*y + 2*t^7.972*y + 2*t^8.142*y + 2*t^8.316*y + 3*t^8.486*y + 2*t^8.656*y + t^8.826*y + 2*t^8.83*y | g1^6*t^2.229 + t^2.399/g1^7 + g1^2*t^2.743 + 2*g1^11*t^3.087 + t^3.257/g1^2 + t^3.427/g1^15 + g1^7*t^3.601 + g1^3*t^4.115 + t^4.285/g1^10 + 2*g1^12*t^4.458 + (2*t^4.628)/g1 + (2*t^4.799)/g1^14 + t^4.969/g1^27 + 2*g1^8*t^4.972 + t^5.142/g1^5 + 2*g1^17*t^5.316 + 3*g1^4*t^5.486 + t^5.656/g1^9 + 2*g1^13*t^5.83 - 2*t^6. + 2*g1^22*t^6.174 + 3*g1^9*t^6.344 + (2*t^6.514)/g1^4 + t^6.684/g1^17 + 3*g1^18*t^6.688 + t^6.854/g1^30 + 2*g1^5*t^6.858 + (3*t^7.028)/g1^8 + (2*t^7.198)/g1^21 + 4*g1^14*t^7.201 + t^7.368/g1^34 + g1*t^7.372 + t^7.542/g1^12 + 3*g1^23*t^7.545 + t^7.712/g1^25 + 5*g1^10*t^7.715 + (3*t^7.885)/g1^3 + (2*t^8.056)/g1^16 + 4*g1^19*t^8.059 + t^8.226/g1^29 - g1^6*t^8.229 + t^8.396/g1^42 - (2*t^8.399)/g1^7 + 3*g1^28*t^8.403 + 5*g1^15*t^8.573 + t^8.913/g1^11 + 4*g1^24*t^8.917 - (g1*t^4.372)/y - (g1^7*t^6.601)/y - t^6.771/(g1^6*y) + t^7.285/(g1^10*y) - (g1^12*t^7.458)/y + t^7.628/(g1*y) + (2*g1^8*t^7.972)/y + (2*t^8.142)/(g1^5*y) + (2*g1^17*t^8.316)/y + (3*g1^4*t^8.486)/y + (2*t^8.656)/(g1^9*y) + t^8.826/(g1^22*y) + (2*g1^13*t^8.83)/y - g1*t^4.372*y - g1^7*t^6.601*y - (t^6.771*y)/g1^6 + (t^7.285*y)/g1^10 - g1^12*t^7.458*y + (t^7.628*y)/g1 + 2*g1^8*t^7.972*y + (2*t^8.142*y)/g1^5 + 2*g1^17*t^8.316*y + 3*g1^4*t^8.486*y + (2*t^8.656*y)/g1^9 + (t^8.826*y)/g1^22 + 2*g1^13*t^8.83*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 |
|---|---|---|---|---|---|---|---|---|
| 6140 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{4}M_{8}$ + ${ }M_{1}M_{9}$ | 0.7041 | 0.8739 | 0.8057 | [M:[1.0866, 0.7403, 0.8509, 0.976, 1.024, 0.8029, 1.1491, 1.024, 0.9134], q:[0.5433, 0.3702], qb:[0.6059, 0.6538], phi:[0.4567]] | t^2.221 + t^2.409 + 2*t^2.74 + 2*t^3.072 + t^3.447 + t^3.591 + t^4.111 + t^4.298 + 2*t^4.442 + 2*t^4.63 + 2*t^4.818 + 3*t^4.961 + t^5.005 + 2*t^5.149 + 2*t^5.293 + 4*t^5.481 + 4*t^5.812 - 3*t^6. - t^4.37/y - t^4.37*y | detail | |
| 6139 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{4}M_{8}$ + ${ }M_{9}\phi_{1}^{2}$ | 0.6884 | 0.8473 | 0.8125 | [M:[1.0847, 0.7458, 0.8644, 0.9661, 1.0339, 0.7966, 1.1356, 1.0339, 1.0847], q:[0.5424, 0.3729], qb:[0.5932, 0.661], phi:[0.4576]] | t^2.237 + t^2.39 + 2*t^3.102 + 2*t^3.254 + t^3.407 + t^3.61 + t^4.119 + t^4.271 + 2*t^4.475 + 2*t^4.627 + 2*t^4.78 + t^4.932 + t^4.983 + 2*t^5.339 + 3*t^5.492 + 2*t^5.644 - 3*t^6. - t^4.373/y - t^4.373*y | detail | |
| 6141 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{4}M_{8}$ + ${ }M_{9}q_{1}\tilde{q}_{2}$ | 0.713 | 0.89 | 0.8011 | [M:[1.0836, 0.7492, 0.8731, 0.9597, 1.0403, 0.7926, 1.1269, 1.0403, 0.7926], q:[0.5418, 0.3746], qb:[0.5851, 0.6656], phi:[0.4582]] | t^2.248 + 2*t^2.378 + t^2.749 + 2*t^3.121 + t^3.251 + t^3.381 + t^4.124 + t^4.254 + 2*t^4.495 + 3*t^4.625 + 4*t^4.755 + t^4.885 + 2*t^4.997 + 2*t^5.127 + 2*t^5.368 + 5*t^5.498 + 2*t^5.628 + t^5.758 + t^5.87 - 3*t^6. - t^4.375/y - t^4.375*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 |