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 |
|---|---|---|---|---|---|---|---|---|---|
| 1526 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6693 | 0.8394 | 0.7974 | [M:[1.0824, 0.8062, 1.0557, 0.833, 1.167, 0.6949], q:[0.5145, 0.4031], qb:[0.4299, 0.7639], phi:[0.4722]] | [M:[[-30], [22], [4], [-12], [12], [14]], q:[[19], [11]], qb:[[-23], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{5}M_{6}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{5}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$ | ${}$ | -1 | t^2.085 + t^2.419 + t^2.499 + t^2.833 + t^3.167 + t^3.247 + t^3.501 + 2*t^3.835 + t^3.996 + 2*t^4.169 + t^4.249 + 2*t^4.503 + t^4.584 + t^4.837 + 2*t^4.918 + t^4.998 + 2*t^5.252 + 2*t^5.332 + 2*t^5.586 + 2*t^5.666 + 2*t^5.92 - t^6. + t^6.08 + 3*t^6.254 + 2*t^6.334 + t^6.414 + 2*t^6.495 + 3*t^6.588 + 4*t^6.668 + t^6.829 + 2*t^6.922 + 4*t^7.002 + t^7.082 - t^7.163 + t^7.243 + t^7.256 + 5*t^7.336 + t^7.416 + t^7.497 + 5*t^7.67 + 2*t^7.751 + t^7.831 + t^7.991 + 5*t^8.004 + t^8.165 + t^8.245 + 5*t^8.338 - t^8.419 + t^8.499 + t^8.579 + 5*t^8.672 + 4*t^8.753 - t^8.833 + 2*t^8.913 + t^8.994 - t^4.416/y - t^6.501/y - t^6.835/y + t^7.169/y + t^7.503/y + t^7.584/y - t^7.664/y + (2*t^7.918)/y + t^7.998/y + (2*t^8.252)/y + (3*t^8.332)/y + t^8.586/y + (2*t^8.666)/y + t^8.746/y + (2*t^8.92)/y - t^4.416*y - t^6.501*y - t^6.835*y + t^7.169*y + t^7.503*y + t^7.584*y - t^7.664*y + 2*t^7.918*y + t^7.998*y + 2*t^8.252*y + 3*t^8.332*y + t^8.586*y + 2*t^8.666*y + t^8.746*y + 2*t^8.92*y | g1^14*t^2.085 + g1^22*t^2.419 + t^2.499/g1^12 + t^2.833/g1^4 + g1^4*t^3.167 + t^3.247/g1^30 + g1^12*t^3.501 + 2*g1^20*t^3.835 + t^3.996/g1^48 + 2*g1^28*t^4.169 + t^4.249/g1^6 + 2*g1^36*t^4.503 + g1^2*t^4.584 + g1^44*t^4.837 + 2*g1^10*t^4.918 + t^4.998/g1^24 + 2*g1^18*t^5.252 + (2*t^5.332)/g1^16 + 2*g1^26*t^5.586 + (2*t^5.666)/g1^8 + 2*g1^34*t^5.92 - t^6. + t^6.08/g1^34 + 3*g1^42*t^6.254 + 2*g1^8*t^6.334 + t^6.414/g1^26 + (2*t^6.495)/g1^60 + 3*g1^50*t^6.588 + 4*g1^16*t^6.668 + t^6.829/g1^52 + 2*g1^58*t^6.922 + 4*g1^24*t^7.002 + t^7.082/g1^10 - t^7.163/g1^44 + t^7.243/g1^78 + g1^66*t^7.256 + 5*g1^32*t^7.336 + t^7.416/g1^2 + t^7.497/g1^36 + 5*g1^40*t^7.67 + 2*g1^6*t^7.751 + t^7.831/g1^28 + t^7.991/g1^96 + 5*g1^48*t^8.004 + t^8.165/g1^20 + t^8.245/g1^54 + 5*g1^56*t^8.338 - g1^22*t^8.419 + t^8.499/g1^12 + t^8.579/g1^46 + 5*g1^64*t^8.672 + 4*g1^30*t^8.753 - t^8.833/g1^4 + (2*t^8.913)/g1^38 + t^8.994/g1^72 - t^4.416/(g1^2*y) - (g1^12*t^6.501)/y - (g1^20*t^6.835)/y + (g1^28*t^7.169)/y + (g1^36*t^7.503)/y + (g1^2*t^7.584)/y - t^7.664/(g1^32*y) + (2*g1^10*t^7.918)/y + t^7.998/(g1^24*y) + (2*g1^18*t^8.252)/y + (3*t^8.332)/(g1^16*y) + (g1^26*t^8.586)/y + (2*t^8.666)/(g1^8*y) + t^8.746/(g1^42*y) + (2*g1^34*t^8.92)/y - (t^4.416*y)/g1^2 - g1^12*t^6.501*y - g1^20*t^6.835*y + g1^28*t^7.169*y + g1^36*t^7.503*y + g1^2*t^7.584*y - (t^7.664*y)/g1^32 + 2*g1^10*t^7.918*y + (t^7.998*y)/g1^24 + 2*g1^18*t^8.252*y + (3*t^8.332*y)/g1^16 + g1^26*t^8.586*y + (2*t^8.666*y)/g1^8 + (t^8.746*y)/g1^42 + 2*g1^34*t^8.92*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 |
|---|---|---|---|---|---|---|---|---|
| 2624 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{7}$ | 0.6537 | 0.8118 | 0.8053 | [M:[1.0604, 0.8224, 1.0586, 0.8242, 1.1758, 0.7051, 1.1776], q:[0.5284, 0.4112], qb:[0.413, 0.7647], phi:[0.4707]] | t^2.115 + t^2.472 + t^2.824 + t^3.176 + t^3.181 + t^3.528 + t^3.533 + 2*t^3.879 + t^3.89 + 2*t^4.231 + t^4.236 + t^4.583 + t^4.588 + t^4.94 + t^4.945 + t^5.291 + 2*t^5.297 + t^5.643 + 2*t^5.648 + t^5.995 - t^6. - t^4.412/y - t^4.412*y | detail | |
| 2617 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{7}$ | 0.6745 | 0.8479 | 0.7955 | [M:[1.077, 0.8102, 1.0564, 0.8308, 1.1692, 0.6974, 0.9436], q:[0.5179, 0.4051], qb:[0.4257, 0.7641], phi:[0.4718]] | t^2.092 + t^2.431 + t^2.492 + 2*t^2.831 + t^3.231 + t^3.508 + 2*t^3.846 + t^3.969 + 2*t^4.184 + t^4.246 + 2*t^4.523 + t^4.585 + t^4.861 + 3*t^4.923 + t^4.985 + 2*t^5.261 + 3*t^5.323 + t^5.6 + 3*t^5.662 + 2*t^5.938 - 2*t^6. - t^4.415/y - t^4.415*y | detail | |
| 2620 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ | 0.6839 | 0.8642 | 0.7913 | [M:[1.0701, 0.8153, 1.0573, 0.828, 1.172, 0.7006, 0.828], q:[0.5223, 0.4076], qb:[0.4204, 0.7643], phi:[0.4713]] | t^2.102 + t^2.446 + 2*t^2.484 + t^2.828 + t^3.172 + t^3.21 + 2*t^3.86 + t^3.936 + 2*t^4.204 + t^4.242 + 2*t^4.548 + 2*t^4.586 + t^4.892 + 3*t^4.93 + 3*t^4.968 + 2*t^5.274 + 3*t^5.312 + t^5.618 + 3*t^5.656 + t^5.694 + t^5.962 - 2*t^6. - t^4.414/y - t^4.414*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 |
|---|---|---|---|---|---|---|---|---|---|
| 981 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ | 0.6487 | 0.7997 | 0.8112 | [M:[1.0791, 0.8087, 1.0561, 0.8316, 1.1684], q:[0.5166, 0.4043], qb:[0.4273, 0.764], phi:[0.4719]] | t^2.426 + t^2.495 + t^2.832 + t^3.168 + t^3.237 + t^3.505 + 2*t^3.842 + t^3.911 + t^3.98 + t^4.179 + t^4.247 + t^4.515 + t^4.852 + t^4.921 + t^4.99 + t^5.258 + t^5.327 + t^5.594 + 2*t^5.663 - t^6. - t^4.416/y - t^4.416*y | detail |