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 |
|---|---|---|---|---|---|---|---|---|---|
| 1542 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6856 | 0.861 | 0.7963 | [M:[1.0546, 0.7437, 0.9454, 0.853, 1.147, 0.6975], q:[0.5735, 0.3718], qb:[0.4811, 0.7752], phi:[0.4496]] | [M:[[22], [-30], [-22], [14], [-14], [-12]], q:[[-7], [-15]], qb:[[29], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{4}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$ | ${}$ | -1 | t^2.092 + t^2.231 + t^2.559 + t^2.697 + t^2.836 + t^3.164 + t^3.441 + t^3.58 + t^4.046 + 2*t^4.185 + t^4.236 + t^4.323 + t^4.462 + t^4.513 + t^4.651 + 3*t^4.79 + 2*t^4.928 + t^5.067 + t^5.118 + 2*t^5.256 + 2*t^5.395 + 2*t^5.534 + 2*t^5.672 + t^5.811 + t^5.861 - t^6. + 2*t^6.139 + 4*t^6.277 + t^6.328 + 3*t^6.416 + t^6.554 + t^6.693 + 2*t^6.744 + t^6.794 + 4*t^6.882 + t^6.933 + 5*t^7.021 + 3*t^7.159 + t^7.21 + t^7.298 + 2*t^7.349 + t^7.399 + 4*t^7.487 - t^7.538 + 5*t^7.626 + t^7.677 + 4*t^7.764 + 2*t^7.903 + t^7.954 + t^8.042 + 2*t^8.231 + 6*t^8.37 + t^8.471 + 5*t^8.508 - t^8.559 + 3*t^8.647 - 2*t^8.697 + t^8.748 + t^8.785 + t^8.924 + 6*t^8.975 - t^4.349/y - t^6.441/y - t^6.58/y - t^7.046/y + t^7.323/y + (2*t^7.651)/y + (2*t^7.79)/y + (2*t^7.928)/y + t^8.067/y + t^8.118/y + (3*t^8.256)/y + (2*t^8.395)/y + t^8.534/y + t^8.672/y + t^8.723/y + t^8.861/y - t^4.349*y - t^6.441*y - t^6.58*y - t^7.046*y + t^7.323*y + 2*t^7.651*y + 2*t^7.79*y + 2*t^7.928*y + t^8.067*y + t^8.118*y + 3*t^8.256*y + 2*t^8.395*y + t^8.534*y + t^8.672*y + t^8.723*y + t^8.861*y | t^2.092/g1^12 + t^2.231/g1^30 + g1^14*t^2.559 + t^2.697/g1^4 + t^2.836/g1^22 + g1^22*t^3.164 + t^3.441/g1^14 + t^3.58/g1^32 + t^4.046/g1^6 + (2*t^4.185)/g1^24 + g1^56*t^4.236 + t^4.323/g1^42 + t^4.462/g1^60 + g1^20*t^4.513 + g1^2*t^4.651 + (3*t^4.79)/g1^16 + (2*t^4.928)/g1^34 + t^5.067/g1^52 + g1^28*t^5.118 + 2*g1^10*t^5.256 + (2*t^5.395)/g1^8 + (2*t^5.534)/g1^26 + (2*t^5.672)/g1^44 + t^5.811/g1^62 + g1^18*t^5.861 - t^6. + (2*t^6.139)/g1^18 + (4*t^6.277)/g1^36 + g1^44*t^6.328 + (3*t^6.416)/g1^54 + t^6.554/g1^72 + t^6.693/g1^90 + (2*t^6.744)/g1^10 + g1^70*t^6.794 + (4*t^6.882)/g1^28 + g1^52*t^6.933 + (5*t^7.021)/g1^46 + (3*t^7.159)/g1^64 + g1^16*t^7.21 + t^7.298/g1^82 + (2*t^7.349)/g1^2 + g1^78*t^7.399 + (4*t^7.487)/g1^20 - g1^60*t^7.538 + (5*t^7.626)/g1^38 + g1^42*t^7.677 + (4*t^7.764)/g1^56 + (2*t^7.903)/g1^74 + g1^6*t^7.954 + t^8.042/g1^92 + (2*t^8.231)/g1^30 + (6*t^8.37)/g1^48 + g1^112*t^8.471 + (5*t^8.508)/g1^66 - g1^14*t^8.559 + (3*t^8.647)/g1^84 - (2*t^8.697)/g1^4 + g1^76*t^8.748 + t^8.785/g1^102 + t^8.924/g1^120 + (6*t^8.975)/g1^40 - t^4.349/(g1^2*y) - t^6.441/(g1^14*y) - t^6.58/(g1^32*y) - t^7.046/(g1^6*y) + t^7.323/(g1^42*y) + (2*g1^2*t^7.651)/y + (2*t^7.79)/(g1^16*y) + (2*t^7.928)/(g1^34*y) + t^8.067/(g1^52*y) + (g1^28*t^8.118)/y + (3*g1^10*t^8.256)/y + (2*t^8.395)/(g1^8*y) + t^8.534/(g1^26*y) + t^8.672/(g1^44*y) + (g1^36*t^8.723)/y + (g1^18*t^8.861)/y - (t^4.349*y)/g1^2 - (t^6.441*y)/g1^14 - (t^6.58*y)/g1^32 - (t^7.046*y)/g1^6 + (t^7.323*y)/g1^42 + 2*g1^2*t^7.651*y + (2*t^7.79*y)/g1^16 + (2*t^7.928*y)/g1^34 + (t^8.067*y)/g1^52 + g1^28*t^8.118*y + 3*g1^10*t^8.256*y + (2*t^8.395*y)/g1^8 + (t^8.534*y)/g1^26 + (t^8.672*y)/g1^44 + g1^36*t^8.723*y + g1^18*t^8.861*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 |
|---|---|---|---|---|---|---|---|---|
| 2651 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{7}$ | 0.6814 | 0.8529 | 0.7989 | [M:[1.0367, 0.7681, 0.9633, 0.8416, 1.1584, 0.7072, 1.0367], q:[0.5792, 0.384], qb:[0.4575, 0.7744], phi:[0.4512]] | t^2.122 + t^2.304 + t^2.525 + t^2.707 + 2*t^3.11 + t^3.475 + t^3.658 + t^4.061 + t^4.099 + 2*t^4.243 + t^4.426 + t^4.464 + t^4.608 + t^4.646 + 3*t^4.829 + t^5.011 + t^5.049 + 3*t^5.232 + 2*t^5.414 + t^5.597 + t^5.635 + t^5.78 + 2*t^5.817 + t^5.962 - 2*t^6. - t^4.354/y - t^4.354*y | detail | |
| 2653 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ | 0.6987 | 0.8829 | 0.7914 | [M:[1.0455, 0.7561, 0.9545, 0.8472, 1.1528, 0.7024, 0.8472], q:[0.5764, 0.3781], qb:[0.4691, 0.7748], phi:[0.4504]] | t^2.107 + t^2.268 + 2*t^2.541 + t^2.702 + t^2.863 + t^3.137 + t^3.62 + t^4.054 + t^4.166 + 2*t^4.215 + t^4.376 + t^4.488 + t^4.537 + 2*t^4.649 + 4*t^4.81 + 2*t^4.971 + 3*t^5.083 + t^5.132 + 3*t^5.244 + 3*t^5.405 + t^5.566 + t^5.678 + t^5.727 + t^5.839 + t^5.888 - 2*t^6. - t^4.351/y - t^4.351*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 |
|---|---|---|---|---|---|---|---|---|---|
| 983 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ | 0.6651 | 0.8215 | 0.8096 | [M:[1.0528, 0.7461, 0.9472, 0.8518, 1.1482], q:[0.5741, 0.3731], qb:[0.4788, 0.7751], phi:[0.4497]] | t^2.238 + t^2.555 + t^2.698 + t^2.841 + t^3.159 + t^3.445 + t^3.588 + t^3.905 + t^4.048 + t^4.191 + t^4.222 + t^4.477 + t^4.508 + 2*t^4.794 + t^4.937 + t^5.08 + t^5.111 + t^5.254 + 2*t^5.397 + t^5.54 + t^5.683 + t^5.826 + t^5.857 - t^6. - t^4.349/y - t^4.349*y | detail |