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 |
|---|---|---|---|---|---|---|---|---|---|
| 55090 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}M_{5}$ | 0.7054 | 0.8688 | 0.8119 | [M:[0.9348, 1.0326, 1.0, 0.9023, 1.0652, 0.8697], q:[0.4511, 0.614], qb:[0.5163, 0.4837], phi:[0.4837]] | [M:[[4], [-2], [0], [6], [-4], [8]], q:[[3], [-7]], qb:[[-1], [1]], phi:[[1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{4}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{2}$, ${ }M_{5}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{4}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{2}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{2}$, ${ }M_{4}M_{5}$, ${ }M_{3}\phi_{1}^{2}$ | ${}$ | -1 | t^2.609 + t^2.707 + t^2.805 + t^2.902 + t^3. + t^3.098 + t^3.195 + t^4.158 + t^4.256 + 2*t^4.353 + t^4.451 + t^4.549 + t^4.647 + t^4.744 + t^4.842 + t^5.135 + t^5.218 + t^5.316 + 2*t^5.414 + t^5.511 + 2*t^5.609 + 2*t^5.707 + 3*t^5.805 + t^5.902 - t^6. - t^6.489 + t^6.767 + 2*t^6.865 + 3*t^6.962 + 4*t^7.06 + 4*t^7.158 + 4*t^7.256 + 4*t^7.353 + 2*t^7.451 + 2*t^7.549 + t^7.744 + t^7.827 + t^7.842 + t^7.925 + 2*t^8.023 + t^8.038 + 2*t^8.12 + 2*t^8.218 + 4*t^8.316 + t^8.331 + 4*t^8.414 + 4*t^8.511 + t^8.609 - t^8.902 - t^4.451/y - t^7.06/y - t^7.158/y + t^7.744/y + t^7.842/y + t^8.316/y + t^8.414/y + (2*t^8.511)/y + (2*t^8.609)/y + (3*t^8.707)/y + (3*t^8.805)/y + (3*t^8.902)/y - t^4.451*y - t^7.06*y - t^7.158*y + t^7.744*y + t^7.842*y + t^8.316*y + t^8.414*y + 2*t^8.511*y + 2*t^8.609*y + 3*t^8.707*y + 3*t^8.805*y + 3*t^8.902*y | g1^8*t^2.609 + g1^6*t^2.707 + g1^4*t^2.805 + g1^2*t^2.902 + t^3. + t^3.098/g1^2 + t^3.195/g1^4 + g1^7*t^4.158 + g1^5*t^4.256 + 2*g1^3*t^4.353 + g1*t^4.451 + t^4.549/g1 + t^4.647/g1^3 + t^4.744/g1^5 + t^4.842/g1^7 + t^5.135/g1^13 + g1^16*t^5.218 + g1^14*t^5.316 + 2*g1^12*t^5.414 + g1^10*t^5.511 + 2*g1^8*t^5.609 + 2*g1^6*t^5.707 + 3*g1^4*t^5.805 + g1^2*t^5.902 - t^6. - t^6.489/g1^10 + g1^15*t^6.767 + 2*g1^13*t^6.865 + 3*g1^11*t^6.962 + 4*g1^9*t^7.06 + 4*g1^7*t^7.158 + 4*g1^5*t^7.256 + 4*g1^3*t^7.353 + 2*g1*t^7.451 + (2*t^7.549)/g1 + t^7.744/g1^5 + g1^24*t^7.827 + t^7.842/g1^7 + g1^22*t^7.925 + 2*g1^20*t^8.023 + t^8.038/g1^11 + 2*g1^18*t^8.12 + 2*g1^16*t^8.218 + 4*g1^14*t^8.316 + t^8.331/g1^17 + 4*g1^12*t^8.414 + 4*g1^10*t^8.511 + g1^8*t^8.609 - g1^2*t^8.902 - (g1*t^4.451)/y - (g1^9*t^7.06)/y - (g1^7*t^7.158)/y + t^7.744/(g1^5*y) + t^7.842/(g1^7*y) + (g1^14*t^8.316)/y + (g1^12*t^8.414)/y + (2*g1^10*t^8.511)/y + (2*g1^8*t^8.609)/y + (3*g1^6*t^8.707)/y + (3*g1^4*t^8.805)/y + (3*g1^2*t^8.902)/y - g1*t^4.451*y - g1^9*t^7.06*y - g1^7*t^7.158*y + (t^7.744*y)/g1^5 + (t^7.842*y)/g1^7 + g1^14*t^8.316*y + g1^12*t^8.414*y + 2*g1^10*t^8.511*y + 2*g1^8*t^8.609*y + 3*g1^6*t^8.707*y + 3*g1^4*t^8.805*y + 3*g1^2*t^8.902*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 |
|---|---|---|---|---|---|---|---|---|
| 56732 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{1}M_{7}$ | 0.7 | 0.8586 | 0.8152 | [M:[0.9487, 1.0257, 1.0, 0.923, 1.0513, 0.8973, 1.0513], q:[0.4615, 0.5899], qb:[0.5128, 0.4872], phi:[0.4872]] | t^2.692 + t^2.769 + t^2.923 + t^3. + t^3.077 + 2*t^3.154 + t^4.23 + t^4.307 + 2*t^4.384 + t^4.461 + t^4.539 + t^4.616 + t^4.693 + t^4.77 + t^5.001 + t^5.384 + t^5.461 + t^5.538 + t^5.692 + t^5.769 + 3*t^5.846 + t^5.923 - 2*t^6. - t^4.461/y - t^4.461*y | detail | |
| 56735 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{5}M_{7}$ | 0.712 | 0.8818 | 0.8075 | [M:[0.9215, 1.0392, 1.0, 0.8823, 1.0785, 0.8431, 0.9215], q:[0.4412, 0.6373], qb:[0.5196, 0.4804], phi:[0.4804]] | t^2.529 + t^2.647 + 2*t^2.765 + t^2.882 + t^3. + t^3.118 + t^4.088 + t^4.206 + 2*t^4.323 + t^4.441 + t^4.559 + t^4.677 + t^4.794 + t^4.912 + t^5.059 + t^5.176 + t^5.265 + 3*t^5.294 + 2*t^5.412 + 4*t^5.529 + 3*t^5.647 + 3*t^5.765 + t^5.882 - 2*t^6. - t^4.441/y - t^4.441*y | detail | |
| 56734 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.7025 | 0.8633 | 0.8137 | [M:[0.9419, 1.0291, 1.0, 0.9128, 1.0581, 0.8837, 1.0291], q:[0.4564, 0.6018], qb:[0.5145, 0.4855], phi:[0.4855]] | t^2.651 + t^2.738 + t^2.826 + t^3. + 2*t^3.087 + t^3.174 + t^4.195 + t^4.282 + 2*t^4.369 + t^4.456 + t^4.544 + t^4.631 + t^4.718 + t^4.805 + t^5.067 + t^5.302 + t^5.389 + 2*t^5.477 + t^5.651 + 2*t^5.738 + 3*t^5.826 + t^5.913 - 2*t^6. - t^4.456/y - t^4.456*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47060 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{3}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ | 0.7231 | 0.895 | 0.8079 | [M:[0.8566, 1.0717, 1.0, 0.7848, 0.9379, 0.9187], q:[0.4952, 0.6482], qb:[0.4331, 0.5669], phi:[0.4641]] | t^2.354 + t^2.57 + t^2.756 + t^2.785 + t^2.814 + t^3. + t^3.215 + t^3.991 + t^4.177 + t^4.364 + t^4.392 + t^4.579 + t^4.636 + t^4.709 + t^4.794 + t^4.823 + t^4.924 + t^5.038 + t^5.111 + 2*t^5.139 + t^5.168 + t^5.282 + t^5.326 + t^5.354 + t^5.383 + t^5.512 + 4*t^5.57 + t^5.627 + t^5.785 + t^5.971 - 2*t^6. - t^4.392/y - t^4.392*y | detail |