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 |
|---|---|---|---|---|---|---|---|---|---|
| 2348 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{7}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6728 | 0.8419 | 0.7992 | [M:[1.1643, 1.0822, 0.6714, 1.0481, 0.7875, 1.0, 0.8357], q:[0.3938, 0.4419], qb:[0.5581, 0.7705], phi:[0.4589]] | [M:[[8], [4], [-16], [-22], [14], [0], [-8]], q:[[7], [-15]], qb:[[15], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{5}$, ${ }M_{7}$, ${ }M_{6}$, ${ }M_{4}$, ${ }M_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{7}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{2}M_{3}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{5}$, ${ }M_{6}M_{7}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{7}$, ${ }M_{3}\phi_{1}q_{1}^{2}$, ${ }M_{3}\phi_{1}q_{1}q_{2}$ | ${}$ | -1 | t^2.014 + t^2.363 + t^2.507 + t^3. + t^3.144 + t^3.246 + t^3.493 + t^3.739 + t^3.884 + 2*t^4.028 + t^4.232 + 2*t^4.377 + t^4.521 + 2*t^4.725 + t^4.87 + 2*t^5.014 + t^5.159 + t^5.261 + t^5.363 + 2*t^5.507 + t^5.609 + 2*t^5.754 + t^5.898 - t^6. + 2*t^6.042 + t^6.102 + 3*t^6.246 + t^6.289 - t^6.349 + 4*t^6.391 + 2*t^6.535 + t^6.595 + 4*t^6.739 + 2*t^6.884 + 3*t^7.028 + 2*t^7.088 - t^7.13 + 2*t^7.173 + 2*t^7.232 + t^7.275 + 2*t^7.377 + t^7.479 + 3*t^7.521 + 2*t^7.623 + t^7.725 + 3*t^7.768 + 2*t^7.912 + 2*t^7.972 - 2*t^8.014 + 3*t^8.057 + 2*t^8.116 + 4*t^8.261 + t^8.303 - 4*t^8.363 + 5*t^8.405 + 2*t^8.465 - 2*t^8.507 + 2*t^8.549 + 3*t^8.609 - t^8.711 + 7*t^8.754 - 2*t^8.856 + 3*t^8.898 + 2*t^8.958 - t^4.377/y - t^6.391/y - t^6.739/y + t^7.232/y + t^7.377/y + t^7.87/y + (2*t^8.014)/y + t^8.159/y + t^8.261/y + (2*t^8.363)/y - t^8.405/y + (3*t^8.507)/y + t^8.609/y + t^8.651/y + t^8.754/y + t^8.856/y + t^8.898/y - t^4.377*y - t^6.391*y - t^6.739*y + t^7.232*y + t^7.377*y + t^7.87*y + 2*t^8.014*y + t^8.159*y + t^8.261*y + 2*t^8.363*y - t^8.405*y + 3*t^8.507*y + t^8.609*y + t^8.651*y + t^8.754*y + t^8.856*y + t^8.898*y | t^2.014/g1^16 + g1^14*t^2.363 + t^2.507/g1^8 + t^3. + t^3.144/g1^22 + g1^4*t^3.246 + g1^8*t^3.493 + g1^12*t^3.739 + t^3.884/g1^10 + (2*t^4.028)/g1^32 + g1^20*t^4.232 + (2*t^4.377)/g1^2 + t^4.521/g1^24 + 2*g1^28*t^4.725 + g1^6*t^4.87 + (2*t^5.014)/g1^16 + t^5.159/g1^38 + t^5.261/g1^12 + g1^14*t^5.363 + (2*t^5.507)/g1^8 + g1^18*t^5.609 + (2*t^5.754)/g1^4 + t^5.898/g1^26 - t^6. + (2*t^6.042)/g1^48 + g1^26*t^6.102 + 3*g1^4*t^6.246 + t^6.289/g1^44 - g1^30*t^6.349 + (4*t^6.391)/g1^18 + (2*t^6.535)/g1^40 + g1^34*t^6.595 + 4*g1^12*t^6.739 + (2*t^6.884)/g1^10 + (3*t^7.028)/g1^32 + 2*g1^42*t^7.088 - t^7.13/g1^6 + (2*t^7.173)/g1^54 + 2*g1^20*t^7.232 + t^7.275/g1^28 + (2*t^7.377)/g1^2 + g1^24*t^7.479 + (3*t^7.521)/g1^24 + 2*g1^2*t^7.623 + g1^28*t^7.725 + (3*t^7.768)/g1^20 + (2*t^7.912)/g1^42 + 2*g1^32*t^7.972 - (2*t^8.014)/g1^16 + (3*t^8.057)/g1^64 + 2*g1^10*t^8.116 + (4*t^8.261)/g1^12 + t^8.303/g1^60 - 4*g1^14*t^8.363 + (5*t^8.405)/g1^34 + 2*g1^40*t^8.465 - (2*t^8.507)/g1^8 + (2*t^8.549)/g1^56 + 3*g1^18*t^8.609 - g1^44*t^8.711 + (7*t^8.754)/g1^4 - 2*g1^22*t^8.856 + (3*t^8.898)/g1^26 + 2*g1^48*t^8.958 - t^4.377/(g1^2*y) - t^6.391/(g1^18*y) - (g1^12*t^6.739)/y + (g1^20*t^7.232)/y + t^7.377/(g1^2*y) + (g1^6*t^7.87)/y + (2*t^8.014)/(g1^16*y) + t^8.159/(g1^38*y) + t^8.261/(g1^12*y) + (2*g1^14*t^8.363)/y - t^8.405/(g1^34*y) + (3*t^8.507)/(g1^8*y) + (g1^18*t^8.609)/y + t^8.651/(g1^30*y) + t^8.754/(g1^4*y) + (g1^22*t^8.856)/y + t^8.898/(g1^26*y) - (t^4.377*y)/g1^2 - (t^6.391*y)/g1^18 - g1^12*t^6.739*y + g1^20*t^7.232*y + (t^7.377*y)/g1^2 + g1^6*t^7.87*y + (2*t^8.014*y)/g1^16 + (t^8.159*y)/g1^38 + (t^8.261*y)/g1^12 + 2*g1^14*t^8.363*y - (t^8.405*y)/g1^34 + (3*t^8.507*y)/g1^8 + g1^18*t^8.609*y + (t^8.651*y)/g1^30 + (t^8.754*y)/g1^4 + g1^22*t^8.856*y + (t^8.898*y)/g1^26 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4352 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{7}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{8}\phi_{1}q_{1}q_{2}$ | 0.6932 | 0.8807 | 0.7871 | [M:[1.1628, 1.0814, 0.6744, 1.0523, 0.7849, 1.0, 0.8372, 0.7035], q:[0.3925, 0.4447], qb:[0.5553, 0.7704], phi:[0.4593]] | t^2.023 + t^2.111 + t^2.355 + t^2.512 + t^3. + t^3.157 + t^3.244 + t^3.488 + t^3.733 + 2*t^4.046 + t^4.134 + 2*t^4.221 + 2*t^4.378 + t^4.465 + t^4.535 + t^4.622 + 2*t^4.709 + t^4.866 + 2*t^5.023 + t^5.111 + t^5.18 + 2*t^5.267 + 2*t^5.355 + 2*t^5.512 + 2*t^5.599 + 2*t^5.756 + t^5.843 - t^6. - t^4.378/y - t^4.378*y | detail | |
| 4351 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{7}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{8}\phi_{1}q_{1}^{2}$ + ${ }M_{3}X_{1}$ | 0.671 | 0.8351 | 0.8035 | [X:[1.3364], M:[1.1682, 1.0841, 0.6636, 1.0375, 0.7943, 1.0, 0.8318, 0.7477], q:[0.3972, 0.4346], qb:[0.5654, 0.771], phi:[0.458]] | t^2.243 + t^2.383 + t^2.495 + t^3. + t^3.112 + t^3.252 + t^3.505 + t^3.869 + t^3.982 + t^4.009 + t^4.261 + t^4.374 + t^4.486 + t^4.626 + t^4.739 + 2*t^4.766 + t^4.878 + t^4.991 + t^5.243 + t^5.356 + t^5.383 + 2*t^5.495 + t^5.635 + 2*t^5.748 - t^6. - t^4.374/y - t^4.374*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1316 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{7}$ | 0.706 | 0.8681 | 0.8132 | [M:[1.0752, 1.0376, 0.8495, 0.9665, 0.9583, 1.0, 0.9248], q:[0.4791, 0.4456], qb:[0.5544, 0.5961], phi:[0.4812]] | t^2.549 + t^2.774 + t^2.875 + t^2.899 + t^3. + t^3.113 + t^3.226 + t^4.117 + t^4.218 + t^4.318 + t^4.444 + t^4.544 + t^4.569 + t^4.669 + t^4.77 + t^4.895 + t^5.02 + t^5.097 + t^5.323 + t^5.423 + t^5.448 + t^5.549 + t^5.661 + t^5.75 + 2*t^5.774 + t^5.799 + t^5.887 + t^5.988 - 2*t^6. - t^4.444/y - t^4.444*y | detail |