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 |
|---|---|---|---|---|---|---|---|---|---|
| 55241 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ | 0.6396 | 0.787 | 0.8126 | [M:[1.1595, 0.8811, 0.8405, 0.7189, 0.7595, 1.2811], q:[0.3595, 0.4811], qb:[0.7595, 0.8], phi:[0.4]] | [M:[[1], [-2], [-1], [2], [1], [-2]], q:[[1], [-2]], qb:[[1], [0]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{6}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{3}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | ${}$ | -1 | t^2.278 + t^2.4 + t^2.522 + t^2.643 + t^3.357 + t^3.478 + t^3.722 + t^3.843 + t^4.087 + 2*t^4.557 + 2*t^4.678 + t^4.8 + 3*t^4.922 + 2*t^5.043 + t^5.287 + 3*t^5.757 + t^5.878 - t^6. + 2*t^6.122 + t^6.243 + t^6.365 + 2*t^6.487 + t^6.608 + t^6.713 + t^6.73 + t^6.835 + 2*t^6.957 + 2*t^7.078 + 2*t^7.2 + 3*t^7.322 + 3*t^7.443 + 3*t^7.565 + t^7.687 + t^7.808 + t^7.913 + 2*t^7.93 + 2*t^8.035 + t^8.157 + t^8.173 - t^8.278 + t^8.4 - t^8.522 - t^8.643 + 3*t^8.765 + t^8.887 - t^4.2/y - t^6.478/y - t^6.6/y - t^6.843/y + t^7.557/y + t^7.678/y + (2*t^7.8)/y + (3*t^7.922)/y + t^8.043/y + t^8.165/y + t^8.635/y + t^8.757/y + t^8.878/y - t^4.2*y - t^6.478*y - t^6.6*y - t^6.843*y + t^7.557*y + t^7.678*y + 2*t^7.8*y + 3*t^7.922*y + t^8.043*y + t^8.165*y + t^8.635*y + t^8.757*y + t^8.878*y | g1*t^2.278 + t^2.4 + t^2.522/g1 + t^2.643/g1^2 + g1^2*t^3.357 + g1*t^3.478 + t^3.722/g1 + t^3.843/g1^2 + t^4.087/g1^4 + 2*g1^2*t^4.557 + 2*g1*t^4.678 + t^4.8 + (3*t^4.922)/g1 + (2*t^5.043)/g1^2 + t^5.287/g1^4 + 3*g1^2*t^5.757 + g1*t^5.878 - t^6. + (2*t^6.122)/g1 + t^6.243/g1^2 + t^6.365/g1^3 + (2*t^6.487)/g1^4 + t^6.608/g1^5 + g1^4*t^6.713 + t^6.73/g1^6 + g1^3*t^6.835 + 2*g1^2*t^6.957 + 2*g1*t^7.078 + 2*t^7.2 + (3*t^7.322)/g1 + (3*t^7.443)/g1^2 + (3*t^7.565)/g1^3 + t^7.687/g1^4 + t^7.808/g1^5 + g1^4*t^7.913 + (2*t^7.93)/g1^6 + 2*g1^3*t^8.035 + g1^2*t^8.157 + t^8.173/g1^8 - g1*t^8.278 + t^8.4 - t^8.522/g1 - t^8.643/g1^2 + (3*t^8.765)/g1^3 + t^8.887/g1^4 - t^4.2/y - (g1*t^6.478)/y - t^6.6/y - t^6.843/(g1^2*y) + (g1^2*t^7.557)/y + (g1*t^7.678)/y + (2*t^7.8)/y + (3*t^7.922)/(g1*y) + t^8.043/(g1^2*y) + t^8.165/(g1^3*y) + (g1^3*t^8.635)/y + (g1^2*t^8.757)/y + (g1*t^8.878)/y - t^4.2*y - g1*t^6.478*y - t^6.6*y - (t^6.843*y)/g1^2 + g1^2*t^7.557*y + g1*t^7.678*y + 2*t^7.8*y + (3*t^7.922*y)/g1 + (t^8.043*y)/g1^2 + (t^8.165*y)/g1^3 + g1^3*t^8.635*y + g1^2*t^8.757*y + g1*t^8.878*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 |
|---|---|---|---|---|---|---|---|---|
| 56909 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{7}$ | 0.6536 | 0.8118 | 0.8051 | [M:[1.1657, 0.8686, 0.8343, 0.7314, 0.7657, 1.2686, 0.8343], q:[0.3657, 0.4686], qb:[0.7657, 0.8], phi:[0.4]] | t^2.297 + t^2.4 + 2*t^2.503 + t^2.606 + t^3.394 + t^3.703 + t^3.806 + t^4.012 + 2*t^4.594 + 2*t^4.697 + 2*t^4.8 + 4*t^4.903 + 4*t^5.006 + t^5.109 + t^5.212 + 2*t^5.794 + t^5.897 - 2*t^6. - t^4.2/y - t^4.2*y | detail | |
| 56908 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.6231 | 0.758 | 0.8219 | [M:[1.1595, 0.8811, 0.8405, 0.7189, 0.7595, 1.2811, 1.2], q:[0.3595, 0.4811], qb:[0.7595, 0.8], phi:[0.4]] | t^2.278 + t^2.522 + t^2.643 + t^3.357 + t^3.478 + t^3.6 + t^3.722 + t^3.843 + t^4.087 + 2*t^4.557 + t^4.678 + 2*t^4.922 + t^5.043 + t^5.287 + 2*t^5.757 + t^5.878 - t^6. - t^4.2/y - t^4.2*y | detail | |
| 56910 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ | 0.6583 | 0.8208 | 0.802 | [M:[1.1556, 0.8889, 0.8444, 0.7111, 0.7556, 1.2889, 0.7556], q:[0.3556, 0.4889], qb:[0.7556, 0.8], phi:[0.4]] | 2*t^2.267 + t^2.4 + t^2.533 + t^2.667 + t^3.333 + t^3.467 + t^3.867 + t^4.133 + 4*t^4.533 + 3*t^4.667 + 2*t^4.8 + 4*t^4.933 + 2*t^5.067 + t^5.333 + t^5.6 + 4*t^5.733 + t^5.867 - 2*t^6. - t^4.2/y - t^4.2*y | detail | {a: 11849/18000, c: 7387/9000, M1: 52/45, M2: 8/9, M3: 38/45, M4: 32/45, M5: 34/45, M6: 58/45, M7: 34/45, q1: 16/45, q2: 22/45, qb1: 34/45, qb2: 4/5, phi1: 2/5} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 47066 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ | 0.6598 | 0.8251 | 0.7997 | [M:[1.1553, 0.8894, 0.8447, 0.7106, 0.7553], q:[0.3553, 0.4894], qb:[0.7553, 0.8], phi:[0.4]] | t^2.132 + t^2.266 + t^2.4 + t^2.534 + t^2.668 + t^3.332 + t^3.466 + t^3.734 + t^4.136 + t^4.264 + t^4.398 + 3*t^4.532 + 3*t^4.666 + 2*t^4.8 + 3*t^4.934 + 2*t^5.068 + t^5.336 + t^5.464 + t^5.598 + 3*t^5.732 + 2*t^5.866 - t^6. - t^4.2/y - t^4.2*y | detail |