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 |
|---|---|---|---|---|---|---|---|---|---|
| 50867 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ | 0.6731 | 0.854 | 0.7881 | [M:[1.1481, 0.7221, 0.8519, 0.8087, 0.6789, 0.8087], q:[0.4043, 0.4476], qb:[0.8736, 0.7438], phi:[0.3827]] | [M:[[12], [18], [-12], [-2], [28], [-2]], q:[[-1], [-11]], qb:[[-17], [13]], phi:[[4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{6}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{5}\phi_{1}q_{2}^{2}$ | ${}\phi_{1}^{3}q_{1}q_{2}$ | 0 | t^2.037 + t^2.166 + t^2.296 + 2*t^2.426 + t^2.556 + t^3.444 + t^3.704 + t^3.834 + t^4.073 + t^4.203 + 2*t^4.333 + 3*t^4.463 + 4*t^4.592 + 3*t^4.722 + 5*t^4.852 + 2*t^4.982 + t^5.112 + t^5.481 + t^5.611 + t^5.74 + 2*t^5.87 + t^6.11 + t^6.13 + t^6.24 + 2*t^6.26 + 2*t^6.369 + t^6.389 + 4*t^6.499 + 5*t^6.629 + 6*t^6.759 + 9*t^6.888 + 7*t^7.018 + 6*t^7.148 + 6*t^7.278 + 2*t^7.408 + t^7.517 + t^7.537 + t^7.647 + t^7.667 + 2*t^7.777 + 2*t^7.907 + t^8.037 + t^8.146 - t^8.166 + t^8.276 + t^8.296 + 2*t^8.406 - 4*t^8.426 + 4*t^8.536 - t^8.556 + 6*t^8.665 + t^8.686 + 7*t^8.795 + t^8.815 + 12*t^8.925 + t^8.945 - t^4.148/y - t^6.185/y - t^6.314/y - t^6.444/y - (2*t^6.574)/y + t^7.203/y + t^7.333/y + (3*t^7.463)/y + (3*t^7.592)/y + (5*t^7.722)/y + (3*t^7.852)/y + (3*t^7.982)/y + t^8.112/y - t^8.221/y - t^8.351/y - t^8.481/y - (2*t^8.611)/y - t^8.74/y + (2*t^8.87)/y - t^4.148*y - t^6.185*y - t^6.314*y - t^6.444*y - 2*t^6.574*y + t^7.203*y + t^7.333*y + 3*t^7.463*y + 3*t^7.592*y + 5*t^7.722*y + 3*t^7.852*y + 3*t^7.982*y + t^8.112*y - t^8.221*y - t^8.351*y - t^8.481*y - 2*t^8.611*y - t^8.74*y + 2*t^8.87*y | g1^28*t^2.037 + g1^18*t^2.166 + g1^8*t^2.296 + (2*t^2.426)/g1^2 + t^2.556/g1^12 + g1^12*t^3.444 + t^3.704/g1^8 + t^3.834/g1^18 + g1^56*t^4.073 + g1^46*t^4.203 + 2*g1^36*t^4.333 + 3*g1^26*t^4.463 + 4*g1^16*t^4.592 + 3*g1^6*t^4.722 + (5*t^4.852)/g1^4 + (2*t^4.982)/g1^14 + t^5.112/g1^24 + g1^40*t^5.481 + g1^30*t^5.611 + g1^20*t^5.74 + 2*g1^10*t^5.87 + g1^84*t^6.11 + t^6.13/g1^10 + g1^74*t^6.24 + (2*t^6.26)/g1^20 + 2*g1^64*t^6.369 + t^6.389/g1^30 + 4*g1^54*t^6.499 + 5*g1^44*t^6.629 + 6*g1^34*t^6.759 + 9*g1^24*t^6.888 + 7*g1^14*t^7.018 + 6*g1^4*t^7.148 + (6*t^7.278)/g1^6 + (2*t^7.408)/g1^16 + g1^68*t^7.517 + t^7.537/g1^26 + g1^58*t^7.647 + t^7.667/g1^36 + 2*g1^48*t^7.777 + 2*g1^38*t^7.907 + g1^28*t^8.037 + g1^112*t^8.146 - g1^18*t^8.166 + g1^102*t^8.276 + g1^8*t^8.296 + 2*g1^92*t^8.406 - (4*t^8.426)/g1^2 + 4*g1^82*t^8.536 - t^8.556/g1^12 + 6*g1^72*t^8.665 + t^8.686/g1^22 + 7*g1^62*t^8.795 + t^8.815/g1^32 + 12*g1^52*t^8.925 + t^8.945/g1^42 - (g1^4*t^4.148)/y - (g1^32*t^6.185)/y - (g1^22*t^6.314)/y - (g1^12*t^6.444)/y - (2*g1^2*t^6.574)/y + (g1^46*t^7.203)/y + (g1^36*t^7.333)/y + (3*g1^26*t^7.463)/y + (3*g1^16*t^7.592)/y + (5*g1^6*t^7.722)/y + (3*t^7.852)/(g1^4*y) + (3*t^7.982)/(g1^14*y) + t^8.112/(g1^24*y) - (g1^60*t^8.221)/y - (g1^50*t^8.351)/y - (g1^40*t^8.481)/y - (2*g1^30*t^8.611)/y - (g1^20*t^8.74)/y + (2*g1^10*t^8.87)/y - g1^4*t^4.148*y - g1^32*t^6.185*y - g1^22*t^6.314*y - g1^12*t^6.444*y - 2*g1^2*t^6.574*y + g1^46*t^7.203*y + g1^36*t^7.333*y + 3*g1^26*t^7.463*y + 3*g1^16*t^7.592*y + 5*g1^6*t^7.722*y + (3*t^7.852*y)/g1^4 + (3*t^7.982*y)/g1^14 + (t^8.112*y)/g1^24 - g1^60*t^8.221*y - g1^50*t^8.351*y - g1^40*t^8.481*y - 2*g1^30*t^8.611*y - g1^20*t^8.74*y + 2*g1^10*t^8.87*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 |
|---|---|---|---|---|---|---|---|---|
| 56084 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ | 0.6864 | 0.8761 | 0.7835 | [M:[1.1575, 0.7363, 0.8425, 0.8071, 0.7008, 0.8071, 0.8425], q:[0.4035, 0.439], qb:[0.8602, 0.754], phi:[0.3858]] | t^2.103 + t^2.209 + t^2.315 + 2*t^2.421 + 2*t^2.527 + t^3.685 + t^3.791 + t^4.205 + t^4.311 + 2*t^4.418 + 3*t^4.524 + 5*t^4.63 + 4*t^4.736 + 6*t^4.842 + 4*t^4.949 + 3*t^5.055 - t^6. - t^4.158/y - t^4.158*y | detail | |
| 56059 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{2}M_{5}$ | 0.5899 | 0.753 | 0.7835 | [M:[1.3043, 0.9565, 0.6957, 0.7826, 1.0435, 0.7826], q:[0.3913, 0.3043], qb:[0.6522, 0.913], phi:[0.4348]] | t^2.087 + 2*t^2.348 + t^2.609 + t^2.87 + 2*t^3.13 + t^3.391 + t^3.913 + t^4.174 + 2*t^4.435 + 5*t^4.696 + 3*t^4.957 + 5*t^5.217 + 5*t^5.478 + 3*t^5.739 + t^6. - t^4.304/y - t^4.304*y | detail | {a: 14355/24334, c: 36645/48668, M1: 30/23, M2: 22/23, M3: 16/23, M4: 18/23, M5: 24/23, M6: 18/23, q1: 9/23, q2: 7/23, qb1: 15/23, qb2: 21/23, phi1: 10/23} |
| 56058 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{5}^{2}$ | 0.6074 | 0.7726 | 0.7862 | [M:[1.2857, 0.9286, 0.7143, 0.7857, 1.0, 0.7857], q:[0.3929, 0.3214], qb:[0.6786, 0.8929], phi:[0.4286]] | t^2.143 + 2*t^2.357 + t^2.571 + t^2.786 + t^3. + t^3.214 + t^3.429 + t^3.857 + t^4.286 + 2*t^4.5 + 5*t^4.714 + 3*t^4.929 + 4*t^5.143 + 4*t^5.357 + 4*t^5.571 + 2*t^5.786 + t^6. - t^4.286/y - t^4.286*y | detail | {a: 53337/87808, c: 67841/87808, M1: 9/7, M2: 13/14, M3: 5/7, M4: 11/14, M5: 1, M6: 11/14, q1: 11/28, q2: 9/28, qb1: 19/28, qb2: 25/28, phi1: 3/7} |
| 56085 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}q_{2}$ | 0.6915 | 0.8877 | 0.779 | [M:[1.1442, 0.7162, 0.8558, 0.8093, 0.6697, 0.8093, 0.7628], q:[0.4047, 0.4512], qb:[0.8791, 0.7395], phi:[0.3814]] | t^2.009 + t^2.149 + 2*t^2.288 + 2*t^2.428 + t^2.568 + t^3.432 + t^3.851 + t^4.018 + t^4.158 + 3*t^4.297 + 4*t^4.437 + 6*t^4.577 + 5*t^4.716 + 6*t^4.856 + 2*t^4.995 + t^5.135 + t^5.442 + t^5.581 + t^5.721 + t^5.86 - t^6. - t^4.144/y - t^4.144*y | detail | |
| 56083 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.6548 | 0.8208 | 0.7978 | [M:[1.1522, 0.7283, 0.8478, 0.808, 0.6885, 0.808, 1.2318], q:[0.404, 0.4438], qb:[0.8677, 0.7482], phi:[0.3841]] | t^2.066 + t^2.185 + 2*t^2.424 + t^2.543 + t^3.457 + 2*t^3.696 + t^3.815 + t^4.131 + t^4.251 + t^4.37 + 2*t^4.489 + 3*t^4.609 + t^4.728 + 4*t^4.848 + 2*t^4.967 + t^5.087 + t^5.522 + t^5.642 + t^5.761 + 3*t^5.881 - t^6. - t^4.152/y - t^4.152*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 |
|---|---|---|---|---|---|---|---|---|---|
| 48168 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ | 0.6733 | 0.8548 | 0.7876 | [M:[1.1492, 0.7116, 0.8508, 0.8206, 0.6814, 0.7963], q:[0.4103, 0.4405], qb:[0.8781, 0.7389], phi:[0.3831]] | t^2.044 + t^2.135 + t^2.298 + t^2.389 + t^2.462 + t^2.552 + t^3.448 + t^3.702 + t^3.792 + t^4.088 + t^4.179 + t^4.27 + t^4.343 + 2*t^4.433 + t^4.506 + t^4.524 + 3*t^4.597 + 2*t^4.687 + t^4.76 + t^4.778 + 3*t^4.851 + t^4.924 + t^4.941 + t^5.014 + t^5.105 + t^5.492 + t^5.582 + t^5.746 + 2*t^5.836 + t^5.927 - t^6. - t^4.149/y - t^4.149*y | detail |