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 |
|---|---|---|---|---|---|---|---|---|---|
| 56826 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{4}M_{7}$ | 0.7026 | 0.8862 | 0.7927 | [M:[0.8549, 0.6871, 0.9773, 1.1451, 1.0227, 0.8095, 0.8549], q:[0.6338, 0.5113], qb:[0.6791, 0.3435], phi:[0.4581]] | [M:[[-10], [6], [26], [10], [-26], [42], [-10]], q:[[23], [-13]], qb:[[-29], [3]], phi:[[4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{6}$, ${ }M_{1}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{5}M_{6}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{5}$, ${ }M_{5}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{4}M_{6}$ | ${}M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ | 0 | t^2.061 + t^2.429 + 2*t^2.565 + t^2.748 + t^2.932 + t^3.068 + t^3.435 + t^3.939 + t^4.122 + t^4.306 + 2*t^4.442 + t^4.49 + 2*t^4.626 + 2*t^4.81 + t^4.857 + t^4.946 + 2*t^4.993 + 3*t^5.129 + 2*t^5.177 + 3*t^5.313 + t^5.361 + t^5.449 + 3*t^5.497 + t^5.633 + t^5.68 + t^5.816 + t^5.864 + 2*t^6.184 + t^6.367 + t^6.503 + t^6.551 + 2*t^6.687 + t^6.735 + 4*t^6.871 + t^6.918 + 3*t^7.007 + 3*t^7.054 + 4*t^7.19 + 3*t^7.238 + t^7.286 + 5*t^7.374 + 2*t^7.422 + 3*t^7.51 + 3*t^7.558 + 2*t^7.605 + 2*t^7.694 + 5*t^7.742 + t^7.789 + 5*t^7.878 + 4*t^7.925 + 2*t^8.014 + t^8.061 + 2*t^8.109 + t^8.197 + 5*t^8.245 + t^8.293 + 2*t^8.381 - t^8.429 + t^8.517 - 4*t^8.565 + 3*t^8.612 - t^8.701 + 2*t^8.748 + t^8.796 + 2*t^8.884 - t^8.932 + t^8.98 - t^4.374/y - t^6.435/y - t^6.803/y - t^6.939/y - t^7.122/y + t^7.49/y + (3*t^7.626)/y + (2*t^7.81)/y + t^7.946/y + (3*t^7.993)/y + (2*t^8.129)/y + t^8.177/y + (3*t^8.313)/y + t^8.361/y + (3*t^8.497)/y + (2*t^8.633)/y + t^8.68/y + t^8.816/y - t^4.374*y - t^6.435*y - t^6.803*y - t^6.939*y - t^7.122*y + t^7.49*y + 3*t^7.626*y + 2*t^7.81*y + t^7.946*y + 3*t^7.993*y + 2*t^8.129*y + t^8.177*y + 3*t^8.313*y + t^8.361*y + 3*t^8.497*y + 2*t^8.633*y + t^8.68*y + t^8.816*y | g1^6*t^2.061 + g1^42*t^2.429 + (2*t^2.565)/g1^10 + g1^8*t^2.748 + g1^26*t^2.932 + t^3.068/g1^26 + g1^10*t^3.435 + t^3.939/g1^6 + g1^12*t^4.122 + g1^30*t^4.306 + (2*t^4.442)/g1^22 + g1^48*t^4.49 + (2*t^4.626)/g1^4 + 2*g1^14*t^4.81 + g1^84*t^4.857 + t^4.946/g1^38 + 2*g1^32*t^4.993 + (3*t^5.129)/g1^20 + 2*g1^50*t^5.177 + (3*t^5.313)/g1^2 + g1^68*t^5.361 + t^5.449/g1^54 + 3*g1^16*t^5.497 + t^5.633/g1^36 + g1^34*t^5.68 + t^5.816/g1^18 + g1^52*t^5.864 + 2*g1^18*t^6.184 + g1^36*t^6.367 + t^6.503/g1^16 + g1^54*t^6.551 + 2*g1^2*t^6.687 + g1^72*t^6.735 + 4*g1^20*t^6.871 + g1^90*t^6.918 + (3*t^7.007)/g1^32 + 3*g1^38*t^7.054 + (4*t^7.19)/g1^14 + 3*g1^56*t^7.238 + g1^126*t^7.286 + 5*g1^4*t^7.374 + 2*g1^74*t^7.422 + (3*t^7.51)/g1^48 + 3*g1^22*t^7.558 + 2*g1^92*t^7.605 + (2*t^7.694)/g1^30 + 5*g1^40*t^7.742 + g1^110*t^7.789 + (5*t^7.878)/g1^12 + 4*g1^58*t^7.925 + (2*t^8.014)/g1^64 + g1^6*t^8.061 + 2*g1^76*t^8.109 + t^8.197/g1^46 + 5*g1^24*t^8.245 + g1^94*t^8.293 + (2*t^8.381)/g1^28 - g1^42*t^8.429 + t^8.517/g1^80 - (4*t^8.565)/g1^10 + 3*g1^60*t^8.612 - t^8.701/g1^62 + 2*g1^8*t^8.748 + g1^78*t^8.796 + (2*t^8.884)/g1^44 - g1^26*t^8.932 + g1^96*t^8.98 - (g1^4*t^4.374)/y - (g1^10*t^6.435)/y - (g1^46*t^6.803)/y - t^6.939/(g1^6*y) - (g1^12*t^7.122)/y + (g1^48*t^7.49)/y + (3*t^7.626)/(g1^4*y) + (2*g1^14*t^7.81)/y + t^7.946/(g1^38*y) + (3*g1^32*t^7.993)/y + (2*t^8.129)/(g1^20*y) + (g1^50*t^8.177)/y + (3*t^8.313)/(g1^2*y) + (g1^68*t^8.361)/y + (3*g1^16*t^8.497)/y + (2*t^8.633)/(g1^36*y) + (g1^34*t^8.68)/y + t^8.816/(g1^18*y) - g1^4*t^4.374*y - g1^10*t^6.435*y - g1^46*t^6.803*y - (t^6.939*y)/g1^6 - g1^12*t^7.122*y + g1^48*t^7.49*y + (3*t^7.626*y)/g1^4 + 2*g1^14*t^7.81*y + (t^7.946*y)/g1^38 + 3*g1^32*t^7.993*y + (2*t^8.129*y)/g1^20 + g1^50*t^8.177*y + (3*t^8.313*y)/g1^2 + g1^68*t^8.361*y + 3*g1^16*t^8.497*y + (2*t^8.633*y)/g1^36 + g1^34*t^8.68*y + (t^8.816*y)/g1^18 |
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 |
|---|---|---|---|---|---|---|---|---|
| 58817 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{4}M_{7}$ + ${ }M_{3}\phi_{1}^{2}$ | 0.6906 | 0.8707 | 0.7931 | [M:[0.8235, 0.7059, 1.0588, 1.1765, 0.9412, 0.9412, 0.8235], q:[0.7059, 0.4706], qb:[0.5882, 0.3529], phi:[0.4706]] | t^2.118 + 2*t^2.471 + 3*t^2.824 + t^3.176 + t^3.529 + t^3.882 + 3*t^4.235 + 4*t^4.588 + 7*t^4.941 + 6*t^5.294 + 7*t^5.647 + 2*t^6. - t^4.412/y - t^4.412*y | detail | {a: 54285/78608, c: 34223/39304, M1: 14/17, M2: 12/17, M3: 18/17, M4: 20/17, M5: 16/17, M6: 16/17, M7: 14/17, q1: 12/17, q2: 8/17, qb1: 10/17, qb2: 6/17, phi1: 8/17} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 55151 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{4}$ | 0.7342 | 0.9219 | 0.7964 | [M:[0.9538, 0.8541, 0.9466, 1.0462, 1.0534, 0.847, 0.6708], q:[0.5195, 0.5267], qb:[0.6263, 0.4271], phi:[0.4751]] | t^2.012 + t^2.541 + t^2.562 + t^2.84 + t^2.851 + t^2.861 + t^3.139 + t^3.16 + t^4.025 + t^4.265 + t^4.287 + t^4.543 + t^4.553 + t^4.564 + t^4.575 + 2*t^4.585 + t^4.852 + 2*t^4.863 + t^4.874 + t^4.884 + t^5.082 + t^5.103 + t^5.125 + t^5.151 + t^5.173 + t^5.183 + t^5.381 + t^5.391 + t^5.402 + t^5.413 + t^5.424 + t^5.68 + t^5.69 + 2*t^5.701 + t^5.712 + t^5.723 + t^5.989 - 2*t^6. - t^4.425/y - t^4.425*y | detail |