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 |
|---|---|---|---|---|---|---|---|---|---|
| 2499 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{6}M_{7}$ | 0.695 | 0.8522 | 0.8155 | [M:[1.0423, 0.9365, 0.9577, 1.0212, 1.0, 0.9788, 1.0212], q:[0.5, 0.4577], qb:[0.5423, 0.5212], phi:[0.4947]] | [M:[[8], [-12], [-8], [4], [0], [-4], [4]], q:[[0], [-8]], qb:[[8], [4]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{2}M_{7}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{5}\phi_{1}^{2}$ | ${}$ | -2 | t^2.809 + t^2.873 + t^2.968 + t^3. + 2*t^3.064 + t^3.127 + t^4.23 + t^4.357 + t^4.421 + 2*t^4.484 + t^4.548 + 2*t^4.611 + t^4.675 + t^4.738 + t^5.619 + t^5.682 + t^5.778 + t^5.841 + t^5.873 + 2*t^5.936 + t^5.968 - 2*t^6. + 2*t^6.032 - t^6.064 + t^6.095 + 2*t^6.127 + t^6.191 + t^7.04 + t^7.103 + t^7.167 + t^7.198 + 2*t^7.23 - t^7.262 + 3*t^7.294 + t^7.325 + 2*t^7.357 + 2*t^7.421 + t^7.452 + 3*t^7.484 - t^7.516 + 3*t^7.548 + t^7.579 + 3*t^7.611 - t^7.643 + 3*t^7.675 + 3*t^7.738 - t^7.77 + 2*t^7.802 + t^7.865 + t^8.428 + t^8.46 + t^8.492 + 2*t^8.587 + 2*t^8.651 + 2*t^8.714 + t^8.746 + t^8.778 - 2*t^8.809 + 4*t^8.841 - 5*t^8.873 + 4*t^8.905 - 2*t^8.936 + 2*t^8.968 - t^4.484/y - t^7.294/y + t^7.421/y - t^7.452/y + t^7.516/y - t^7.548/y + t^7.675/y + t^8.682/y + t^8.778/y + t^8.809/y + t^8.841/y + (3*t^8.873)/y + (3*t^8.936)/y + t^8.968/y - t^4.484*y - t^7.294*y + t^7.421*y - t^7.452*y + t^7.516*y - t^7.548*y + t^7.675*y + t^8.682*y + t^8.778*y + t^8.809*y + t^8.841*y + 3*t^8.873*y + 3*t^8.936*y + t^8.968*y | t^2.809/g1^12 + t^2.873/g1^8 + t^2.968/g1^2 + t^3. + 2*g1^4*t^3.064 + g1^8*t^3.127 + t^4.23/g1^17 + t^4.357/g1^9 + t^4.421/g1^5 + (2*t^4.484)/g1 + g1^3*t^4.548 + 2*g1^7*t^4.611 + g1^11*t^4.675 + g1^15*t^4.738 + t^5.619/g1^24 + t^5.682/g1^20 + t^5.778/g1^14 + t^5.841/g1^10 + t^5.873/g1^8 + (2*t^5.936)/g1^4 + t^5.968/g1^2 - 2*t^6. + 2*g1^2*t^6.032 - g1^4*t^6.064 + g1^6*t^6.095 + 2*g1^8*t^6.127 + g1^12*t^6.191 + t^7.04/g1^29 + t^7.103/g1^25 + t^7.167/g1^21 + t^7.198/g1^19 + (2*t^7.23)/g1^17 - t^7.262/g1^15 + (3*t^7.294)/g1^13 + t^7.325/g1^11 + (2*t^7.357)/g1^9 + (2*t^7.421)/g1^5 + t^7.452/g1^3 + (3*t^7.484)/g1 - g1*t^7.516 + 3*g1^3*t^7.548 + g1^5*t^7.579 + 3*g1^7*t^7.611 - g1^9*t^7.643 + 3*g1^11*t^7.675 + 3*g1^15*t^7.738 - g1^17*t^7.77 + 2*g1^19*t^7.802 + g1^23*t^7.865 + t^8.428/g1^36 + t^8.46/g1^34 + t^8.492/g1^32 + (2*t^8.587)/g1^26 + (2*t^8.651)/g1^22 + (2*t^8.714)/g1^18 + t^8.746/g1^16 + t^8.778/g1^14 - (2*t^8.809)/g1^12 + (4*t^8.841)/g1^10 - (5*t^8.873)/g1^8 + (4*t^8.905)/g1^6 - (2*t^8.936)/g1^4 + (2*t^8.968)/g1^2 - t^4.484/(g1*y) - t^7.294/(g1^13*y) + t^7.421/(g1^5*y) - t^7.452/(g1^3*y) + (g1*t^7.516)/y - (g1^3*t^7.548)/y + (g1^11*t^7.675)/y + t^8.682/(g1^20*y) + t^8.778/(g1^14*y) + t^8.809/(g1^12*y) + t^8.841/(g1^10*y) + (3*t^8.873)/(g1^8*y) + (3*t^8.936)/(g1^4*y) + t^8.968/(g1^2*y) - (t^4.484*y)/g1 - (t^7.294*y)/g1^13 + (t^7.421*y)/g1^5 - (t^7.452*y)/g1^3 + g1*t^7.516*y - g1^3*t^7.548*y + g1^11*t^7.675*y + (t^8.682*y)/g1^20 + (t^8.778*y)/g1^14 + (t^8.809*y)/g1^12 + (t^8.841*y)/g1^10 + (3*t^8.873*y)/g1^8 + (3*t^8.936*y)/g1^4 + (t^8.968*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 |
|---|---|---|---|---|---|---|---|---|
| 4542 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{6}M_{7}$ + ${ }M_{1}M_{8}$ | 0.6999 | 0.8617 | 0.8123 | [M:[1.0643, 0.9035, 0.9357, 1.0322, 1.0, 0.9678, 1.0322, 0.9357], q:[0.5, 0.4357], qb:[0.5643, 0.5322], phi:[0.492]] | t^2.711 + 2*t^2.807 + t^2.952 + t^3. + 2*t^3.096 + t^4.09 + t^4.283 + t^4.379 + 2*t^4.476 + t^4.572 + 2*t^4.669 + t^4.765 + t^4.862 + t^5.421 + 2*t^5.518 + 2*t^5.614 + t^5.662 + 2*t^5.759 + 2*t^5.807 + 3*t^5.904 + t^5.952 - 3*t^6. - t^4.476/y - t^4.476*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1429 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$ | 0.6972 | 0.8564 | 0.8141 | [M:[1.0538, 0.9194, 0.9462, 1.0269, 1.0, 0.9731], q:[0.5, 0.4462], qb:[0.5538, 0.5269], phi:[0.4933]] | t^2.758 + t^2.839 + t^2.919 + t^2.96 + t^3. + t^3.081 + t^3.161 + t^4.157 + t^4.319 + t^4.399 + 2*t^4.48 + t^4.56 + 2*t^4.641 + t^4.722 + t^4.802 + t^5.516 + t^5.597 + t^5.677 + t^5.718 + t^5.758 + t^5.798 + t^5.839 + t^5.879 + 2*t^5.919 + t^5.96 - t^6. - t^4.48/y - t^4.48*y | detail |