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 |
|---|---|---|---|---|---|---|---|---|---|
| 1434 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ | 0.7054 | 0.8688 | 0.8119 | [M:[1.0326, 0.9023, 1.0652, 0.8697, 1.0, 0.9348], q:[0.4511, 0.5163], qb:[0.4837, 0.614], phi:[0.4837]] | [M:[[2], [-6], [4], [-8], [0], [-4]], q:[[-3], [1]], qb:[[-1], [7]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{2}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{6}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{6}$, ${ }M_{5}\phi_{1}^{2}$ | ${}$ | -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 | t^2.609/g1^8 + t^2.707/g1^6 + t^2.805/g1^4 + t^2.902/g1^2 + t^3. + g1^2*t^3.098 + g1^4*t^3.195 + t^4.158/g1^7 + t^4.256/g1^5 + (2*t^4.353)/g1^3 + t^4.451/g1 + g1*t^4.549 + g1^3*t^4.647 + g1^5*t^4.744 + g1^7*t^4.842 + g1^13*t^5.135 + t^5.218/g1^16 + t^5.316/g1^14 + (2*t^5.414)/g1^12 + t^5.511/g1^10 + (2*t^5.609)/g1^8 + (2*t^5.707)/g1^6 + (3*t^5.805)/g1^4 + t^5.902/g1^2 - t^6. - g1^10*t^6.489 + t^6.767/g1^15 + (2*t^6.865)/g1^13 + (3*t^6.962)/g1^11 + (4*t^7.06)/g1^9 + (4*t^7.158)/g1^7 + (4*t^7.256)/g1^5 + (4*t^7.353)/g1^3 + (2*t^7.451)/g1 + 2*g1*t^7.549 + g1^5*t^7.744 + t^7.827/g1^24 + g1^7*t^7.842 + t^7.925/g1^22 + (2*t^8.023)/g1^20 + g1^11*t^8.038 + (2*t^8.12)/g1^18 + (2*t^8.218)/g1^16 + (4*t^8.316)/g1^14 + g1^17*t^8.331 + (4*t^8.414)/g1^12 + (4*t^8.511)/g1^10 + t^8.609/g1^8 - t^8.902/g1^2 - t^4.451/(g1*y) - t^7.06/(g1^9*y) - t^7.158/(g1^7*y) + (g1^5*t^7.744)/y + (g1^7*t^7.842)/y + t^8.316/(g1^14*y) + t^8.414/(g1^12*y) + (2*t^8.511)/(g1^10*y) + (2*t^8.609)/(g1^8*y) + (3*t^8.707)/(g1^6*y) + (3*t^8.805)/(g1^4*y) + (3*t^8.902)/(g1^2*y) - (t^4.451*y)/g1 - (t^7.06*y)/g1^9 - (t^7.158*y)/g1^7 + g1^5*t^7.744*y + g1^7*t^7.842*y + (t^8.316*y)/g1^14 + (t^8.414*y)/g1^12 + (2*t^8.511*y)/g1^10 + (2*t^8.609*y)/g1^8 + (3*t^8.707*y)/g1^6 + (3*t^8.805*y)/g1^4 + (3*t^8.902*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2506 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{1}M_{7}$ | 0.7086 | 0.875 | 0.8098 | [M:[1.0361, 0.8918, 1.0721, 0.8558, 1.0, 0.9279, 0.9639], q:[0.4459, 0.518], qb:[0.482, 0.6262], phi:[0.482]] | t^2.567 + t^2.675 + t^2.784 + 2*t^2.892 + t^3. + t^3.216 + t^4.121 + t^4.23 + 2*t^4.338 + t^4.446 + t^4.554 + t^4.662 + t^4.77 + t^4.879 + t^5.135 + t^5.203 + t^5.243 + 2*t^5.351 + 2*t^5.459 + 3*t^5.567 + 2*t^5.675 + 4*t^5.784 + t^5.892 - 2*t^6. - t^4.446/y - t^4.446*y | detail | |
| 2507 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{3}M_{7}$ | 0.712 | 0.8818 | 0.8075 | [M:[1.0392, 0.8823, 1.0785, 0.8431, 1.0, 0.9215, 0.9215], q:[0.4412, 0.5196], qb:[0.4804, 0.6373], 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 | |
| 2503 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{6}M_{7}$ | 0.7 | 0.8586 | 0.8152 | [M:[1.0257, 0.923, 1.0513, 0.8973, 1.0, 0.9487, 1.0513], q:[0.4615, 0.5128], qb:[0.4872, 0.5899], 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 | |
| 2502 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.679 | 0.8521 | 0.7969 | [M:[1.0769, 0.7692, 1.1538, 0.6923, 1.0, 0.8462], q:[0.3846, 0.5385], qb:[0.4615, 0.7692], phi:[0.4615]] | t^2.077 + t^2.308 + t^2.538 + t^2.769 + t^3. + t^3.231 + t^3.462 + t^3.692 + t^3.923 + 3*t^4.154 + 2*t^4.385 + 3*t^4.615 + 2*t^4.846 + 3*t^5.077 + 3*t^5.308 + 3*t^5.538 + 2*t^5.769 + 2*t^6. - t^4.385/y - t^4.385*y | detail | {a: 459/676, c: 144/169, M1: 14/13, M2: 10/13, M3: 15/13, M4: 9/13, M5: 1, M6: 11/13, q1: 5/13, q2: 7/13, qb1: 6/13, qb2: 10/13, phi1: 6/13} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 935 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.7231 | 0.895 | 0.8079 | [M:[1.0717, 0.7848, 0.9379, 0.9187, 1.0, 0.8566], q:[0.4952, 0.4331], qb:[0.5669, 0.6482], 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 |