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 |
|---|---|---|---|---|---|---|---|---|---|
| 4352 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{7}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{8}\phi_{1}q_{1}q_{2}$ | 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]] | [M:[[8], [4], [-16], [-22], [14], [0], [-8], [10]], q:[[7], [-15]], qb:[[15], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{8}$, ${ }M_{5}$, ${ }M_{7}$, ${ }M_{6}$, ${ }M_{4}$, ${ }M_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}M_{8}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}M_{8}$, ${ }M_{3}M_{7}$, ${ }M_{7}M_{8}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}M_{8}$, ${ }M_{3}M_{4}$, ${ }M_{2}M_{3}$, ${ }M_{4}M_{8}$, ${ }M_{5}M_{6}$, ${ }M_{2}M_{8}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{5}$, ${ }M_{6}M_{7}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{8}$, ${ }M_{2}M_{7}$, ${ }M_{3}\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{8}\phi_{1}q_{1}^{2}$ | ${}$ | -1 | 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. + 2*t^6.069 + t^6.087 + 2*t^6.157 + 3*t^6.244 + t^6.314 + t^6.332 + 3*t^6.401 + 2*t^6.488 + 2*t^6.558 + 2*t^6.576 + t^6.645 + 5*t^6.733 + 2*t^6.82 + t^6.889 + t^6.977 + 2*t^7.046 + 2*t^7.064 + 2*t^7.203 + 3*t^7.221 + 2*t^7.291 + 3*t^7.378 + 3*t^7.465 + 3*t^7.535 + 3*t^7.622 + 3*t^7.709 + 2*t^7.779 + 2*t^7.866 + 3*t^7.954 - 2*t^8.023 + 3*t^8.093 + 2*t^8.18 + t^8.198 + 4*t^8.267 + t^8.337 - t^8.355 + 5*t^8.424 + 3*t^8.442 + t^8.512 + 2*t^8.581 + 3*t^8.599 + 2*t^8.668 + t^8.686 + 7*t^8.756 + 3*t^8.843 + t^8.913 + 4*t^8.931 - t^4.378/y - t^6.401/y - t^6.488/y - t^6.733/y + t^7.134/y + t^7.221/y + t^7.378/y + t^7.465/y + t^7.622/y + t^7.866/y + (2*t^8.023)/y + t^8.111/y + t^8.18/y + (3*t^8.267)/y + (3*t^8.355)/y - t^8.424/y + (2*t^8.512)/y + t^8.599/y + t^8.668/y + t^8.756/y + t^8.843/y - t^4.378*y - t^6.401*y - t^6.488*y - t^6.733*y + t^7.134*y + t^7.221*y + t^7.378*y + t^7.465*y + t^7.622*y + t^7.866*y + 2*t^8.023*y + t^8.111*y + t^8.18*y + 3*t^8.267*y + 3*t^8.355*y - t^8.424*y + 2*t^8.512*y + t^8.599*y + t^8.668*y + t^8.756*y + t^8.843*y | t^2.023/g1^16 + g1^10*t^2.111 + g1^14*t^2.355 + t^2.512/g1^8 + t^3. + t^3.157/g1^22 + g1^4*t^3.244 + g1^8*t^3.488 + g1^12*t^3.733 + (2*t^4.046)/g1^32 + t^4.134/g1^6 + 2*g1^20*t^4.221 + (2*t^4.378)/g1^2 + g1^24*t^4.465 + t^4.535/g1^24 + g1^2*t^4.622 + 2*g1^28*t^4.709 + g1^6*t^4.866 + (2*t^5.023)/g1^16 + g1^10*t^5.111 + t^5.18/g1^38 + (2*t^5.267)/g1^12 + 2*g1^14*t^5.355 + (2*t^5.512)/g1^8 + 2*g1^18*t^5.599 + (2*t^5.756)/g1^4 + g1^22*t^5.843 - t^6. + (2*t^6.069)/g1^48 + g1^26*t^6.087 + (2*t^6.157)/g1^22 + 3*g1^4*t^6.244 + t^6.314/g1^44 + g1^30*t^6.332 + (3*t^6.401)/g1^18 + 2*g1^8*t^6.488 + (2*t^6.558)/g1^40 + 2*g1^34*t^6.576 + t^6.645/g1^14 + 5*g1^12*t^6.733 + 2*g1^38*t^6.82 + t^6.889/g1^10 + g1^16*t^6.977 + (2*t^7.046)/g1^32 + 2*g1^42*t^7.064 + (2*t^7.203)/g1^54 + 3*g1^20*t^7.221 + (2*t^7.291)/g1^28 + (3*t^7.378)/g1^2 + 3*g1^24*t^7.465 + (3*t^7.535)/g1^24 + 3*g1^2*t^7.622 + 3*g1^28*t^7.709 + (2*t^7.779)/g1^20 + 2*g1^6*t^7.866 + 3*g1^32*t^7.954 - (2*t^8.023)/g1^16 + (3*t^8.093)/g1^64 + (2*t^8.18)/g1^38 + g1^36*t^8.198 + (4*t^8.267)/g1^12 + t^8.337/g1^60 - g1^14*t^8.355 + (5*t^8.424)/g1^34 + 3*g1^40*t^8.442 + t^8.512/g1^8 + (2*t^8.581)/g1^56 + 3*g1^18*t^8.599 + (2*t^8.668)/g1^30 + g1^44*t^8.686 + (7*t^8.756)/g1^4 + 3*g1^22*t^8.843 + t^8.913/g1^26 + 4*g1^48*t^8.931 - t^4.378/(g1^2*y) - t^6.401/(g1^18*y) - (g1^8*t^6.488)/y - (g1^12*t^6.733)/y + t^7.134/(g1^6*y) + (g1^20*t^7.221)/y + t^7.378/(g1^2*y) + (g1^24*t^7.465)/y + (g1^2*t^7.622)/y + (g1^6*t^7.866)/y + (2*t^8.023)/(g1^16*y) + (g1^10*t^8.111)/y + t^8.18/(g1^38*y) + (3*t^8.267)/(g1^12*y) + (3*g1^14*t^8.355)/y - t^8.424/(g1^34*y) + (2*t^8.512)/(g1^8*y) + (g1^18*t^8.599)/y + t^8.668/(g1^30*y) + t^8.756/(g1^4*y) + (g1^22*t^8.843)/y - (t^4.378*y)/g1^2 - (t^6.401*y)/g1^18 - g1^8*t^6.488*y - g1^12*t^6.733*y + (t^7.134*y)/g1^6 + g1^20*t^7.221*y + (t^7.378*y)/g1^2 + g1^24*t^7.465*y + g1^2*t^7.622*y + g1^6*t^7.866*y + (2*t^8.023*y)/g1^16 + g1^10*t^8.111*y + (t^8.18*y)/g1^38 + (3*t^8.267*y)/g1^12 + 3*g1^14*t^8.355*y - (t^8.424*y)/g1^34 + (2*t^8.512*y)/g1^8 + g1^18*t^8.599*y + (t^8.668*y)/g1^30 + (t^8.756*y)/g1^4 + g1^22*t^8.843*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 |
|---|---|---|---|---|---|---|---|---|
| 5804 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{7}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{8}\phi_{1}q_{1}q_{2}$ + ${ }M_{2}M_{9}$ | 0.7008 | 0.8934 | 0.7844 | [M:[1.1654, 1.0827, 0.6692, 1.0452, 0.7894, 1.0, 0.8346, 0.7067, 0.9173], q:[0.3947, 0.4399], qb:[0.5601, 0.7707], phi:[0.4587]] | t^2.008 + t^2.12 + t^2.368 + t^2.504 + t^2.752 + t^3. + t^3.136 + t^3.496 + t^3.744 + 2*t^4.015 + t^4.128 + 2*t^4.24 + 2*t^4.376 + t^4.488 + t^4.512 + t^4.624 + 2*t^4.737 + t^4.76 + 2*t^4.872 + 2*t^5.008 + 2*t^5.12 + t^5.143 + 2*t^5.256 + t^5.368 + 3*t^5.504 + t^5.616 + 2*t^5.752 + t^5.864 + t^5.887 - t^6. - t^4.376/y - t^4.376*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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | 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. - t^4.377/y - t^4.377*y | detail |