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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | [M:[[8], [-12], [-8], [4], [0], [-4]], q:[[0], [-8]], qb:[[8], [4]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{3}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{4}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{5}\phi_{1}^{2}$ | ${}$ | -1 | 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^6.04 - t^6.081 + t^6.121 + t^6.915 + t^6.996 + 2*t^7.077 + t^7.117 + 2*t^7.157 - t^7.198 + 3*t^7.238 + t^7.278 + 3*t^7.319 + 3*t^7.399 + t^7.44 + 3*t^7.48 - t^7.52 + 3*t^7.56 + t^7.601 + 3*t^7.641 - t^7.681 + 2*t^7.722 + 2*t^7.802 - t^7.843 + t^7.883 + t^7.964 + t^8.274 + t^8.315 + t^8.355 + t^8.436 + 2*t^8.476 + t^8.516 + 2*t^8.557 + 3*t^8.637 + t^8.677 + 2*t^8.718 - t^8.758 + 4*t^8.798 - 3*t^8.839 + 4*t^8.879 - 4*t^8.919 + 3*t^8.96 - t^4.48/y - t^7.238/y - t^7.44/y + t^7.52/y + t^7.722/y + t^8.597/y + t^8.677/y + t^8.718/y + (2*t^8.758)/y + t^8.798/y + (2*t^8.839)/y + t^8.879/y + (3*t^8.919)/y + t^8.96/y - t^4.48*y - t^7.238*y - t^7.44*y + t^7.52*y + t^7.722*y + t^8.597*y + t^8.677*y + t^8.718*y + 2*t^8.758*y + t^8.798*y + 2*t^8.839*y + t^8.879*y + 3*t^8.919*y + t^8.96*y | t^2.758/g1^12 + t^2.839/g1^8 + t^2.919/g1^4 + t^2.96/g1^2 + t^3. + g1^4*t^3.081 + g1^8*t^3.161 + t^4.157/g1^17 + t^4.319/g1^9 + t^4.399/g1^5 + (2*t^4.48)/g1 + g1^3*t^4.56 + 2*g1^7*t^4.641 + g1^11*t^4.722 + g1^15*t^4.802 + t^5.516/g1^24 + t^5.597/g1^20 + t^5.677/g1^16 + t^5.718/g1^14 + t^5.758/g1^12 + t^5.798/g1^10 + t^5.839/g1^8 + t^5.879/g1^6 + (2*t^5.919)/g1^4 + t^5.96/g1^2 - t^6. + g1^2*t^6.04 - g1^4*t^6.081 + g1^6*t^6.121 + t^6.915/g1^29 + t^6.996/g1^25 + (2*t^7.077)/g1^21 + t^7.117/g1^19 + (2*t^7.157)/g1^17 - t^7.198/g1^15 + (3*t^7.238)/g1^13 + t^7.278/g1^11 + (3*t^7.319)/g1^9 + (3*t^7.399)/g1^5 + t^7.44/g1^3 + (3*t^7.48)/g1 - g1*t^7.52 + 3*g1^3*t^7.56 + g1^5*t^7.601 + 3*g1^7*t^7.641 - g1^9*t^7.681 + 2*g1^11*t^7.722 + 2*g1^15*t^7.802 - g1^17*t^7.843 + g1^19*t^7.883 + g1^23*t^7.964 + t^8.274/g1^36 + t^8.315/g1^34 + t^8.355/g1^32 + t^8.436/g1^28 + (2*t^8.476)/g1^26 + t^8.516/g1^24 + (2*t^8.557)/g1^22 + (3*t^8.637)/g1^18 + t^8.677/g1^16 + (2*t^8.718)/g1^14 - t^8.758/g1^12 + (4*t^8.798)/g1^10 - (3*t^8.839)/g1^8 + (4*t^8.879)/g1^6 - (4*t^8.919)/g1^4 + (3*t^8.96)/g1^2 - t^4.48/(g1*y) - t^7.238/(g1^13*y) - t^7.44/(g1^3*y) + (g1*t^7.52)/y + (g1^11*t^7.722)/y + t^8.597/(g1^20*y) + t^8.677/(g1^16*y) + t^8.718/(g1^14*y) + (2*t^8.758)/(g1^12*y) + t^8.798/(g1^10*y) + (2*t^8.839)/(g1^8*y) + t^8.879/(g1^6*y) + (3*t^8.919)/(g1^4*y) + t^8.96/(g1^2*y) - (t^4.48*y)/g1 - (t^7.238*y)/g1^13 - (t^7.44*y)/g1^3 + g1*t^7.52*y + g1^11*t^7.722*y + (t^8.597*y)/g1^20 + (t^8.677*y)/g1^16 + (t^8.718*y)/g1^14 + (2*t^8.758*y)/g1^12 + (t^8.798*y)/g1^10 + (2*t^8.839*y)/g1^8 + (t^8.879*y)/g1^6 + (3*t^8.919*y)/g1^4 + (t^8.96*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 |
|---|---|---|---|---|---|---|---|---|
| 2501 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{7}$ | 0.7032 | 0.8682 | 0.8099 | [M:[1.0751, 0.8874, 0.9249, 1.0375, 1.0, 0.9625, 0.9249], q:[0.5, 0.4249], qb:[0.5751, 0.5375], phi:[0.4906]] | t^2.662 + 2*t^2.775 + t^2.887 + t^2.944 + t^3. + t^3.113 + t^4.021 + t^4.247 + t^4.359 + 2*t^4.472 + t^4.584 + 2*t^4.697 + t^4.81 + t^4.922 + t^5.324 + 2*t^5.437 + 3*t^5.55 + t^5.606 + 2*t^5.662 + 2*t^5.719 + 2*t^5.775 + t^5.831 + 2*t^5.887 + t^5.944 - 2*t^6. - t^4.472/y - t^4.472*y | detail | |
| 2498 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{7}$ | 0.6933 | 0.8493 | 0.8163 | [M:[1.0309, 0.9537, 0.9691, 1.0154, 1.0, 0.9846, 1.0309], q:[0.5, 0.4691], qb:[0.5309, 0.5154], phi:[0.4961]] | t^2.861 + t^2.954 + t^2.977 + t^3. + t^3.046 + 2*t^3.093 + t^4.303 + t^4.396 + t^4.442 + 2*t^4.488 + t^4.535 + 2*t^4.581 + t^4.627 + t^4.674 + t^5.722 + t^5.838 + t^5.931 + 2*t^5.954 + t^5.977 - 2*t^6. - t^4.488/y - t^4.488*y | detail | |
| 2500 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{4}M_{7}$ | 0.7 | 0.8618 | 0.8122 | [M:[1.0649, 0.9026, 0.9351, 1.0325, 1.0, 0.9675, 0.9675], q:[0.5, 0.4351], qb:[0.5649, 0.5325], phi:[0.4919]] | t^2.708 + t^2.805 + 2*t^2.903 + t^2.951 + t^3. + t^3.195 + t^4.086 + t^4.281 + t^4.378 + 2*t^4.476 + t^4.573 + 2*t^4.67 + t^4.768 + t^4.865 + t^5.415 + t^5.513 + 2*t^5.61 + t^5.659 + 2*t^5.708 + t^5.756 + 2*t^5.805 + 2*t^5.854 + 2*t^5.903 + t^5.951 - 2*t^6. - t^4.476/y - t^4.476*y | detail | |
| 2499 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{6}M_{7}$ | 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]] | 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. - t^4.484/y - t^4.484*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 |
|---|---|---|---|---|---|---|---|---|---|
| 932 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.7378 | 0.9171 | 0.8045 | [M:[1.0, 0.7895, 1.0, 0.7895, 1.0, 0.7895], q:[0.5, 0.5], qb:[0.5, 0.7105], phi:[0.4474]] | 3*t^2.368 + t^2.684 + 3*t^3. + 6*t^4.342 + 6*t^4.737 + 3*t^4.974 + 3*t^5.053 + 7*t^5.368 + t^5.605 + 3*t^5.684 - 4*t^6. - t^4.342/y - t^4.342*y | detail |