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 |
|---|---|---|---|---|---|---|---|---|---|
| 1641 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{7}q_{1}q_{2}$ | 0.7165 | 0.904 | 0.7926 | [M:[0.9701, 1.1244, 0.9701, 0.6866, 0.8756, 0.7811, 0.7811], q:[0.7811, 0.4378], qb:[0.5921, 0.4378], phi:[0.4378]] | [M:[[9], [-4], [9], [-6], [4], [-1], [-1]], q:[[-1], [2]], qb:[[-11], [2]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{6}$, ${ }M_{7}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{6}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }M_{5}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{3}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$ | ${}M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ | -3 | t^2.06 + 2*t^2.343 + 2*t^2.627 + 2*t^2.91 + 2*t^3.94 + 2*t^4.12 + 4*t^4.403 + 5*t^4.687 + t^4.866 + 6*t^4.97 + 7*t^5.254 + 2*t^5.537 + 3*t^5.821 - 3*t^6. + 2*t^6.179 + 2*t^6.283 + 4*t^6.463 + 3*t^6.567 + 9*t^6.746 + 2*t^6.85 + t^6.926 + 12*t^7.03 + 2*t^7.209 + 10*t^7.313 + t^7.493 + 12*t^7.597 - 2*t^7.776 + 13*t^7.88 - 5*t^8.06 + 8*t^8.164 + 2*t^8.239 - 8*t^8.343 + 3*t^8.447 + 4*t^8.523 - 5*t^8.627 + 4*t^8.731 + 9*t^8.806 - 4*t^8.91 + 2*t^8.986 - t^4.313/y - t^6.373/y - (2*t^6.657)/y - t^6.94/y - (2*t^7.224)/y + (4*t^7.403)/y + (4*t^7.687)/y + (8*t^7.97)/y + (6*t^8.254)/y - t^8.433/y + (4*t^8.537)/y - (2*t^8.717)/y + t^8.821/y - t^4.313*y - t^6.373*y - 2*t^6.657*y - t^6.94*y - 2*t^7.224*y + 4*t^7.403*y + 4*t^7.687*y + 8*t^7.97*y + 6*t^8.254*y - t^8.433*y + 4*t^8.537*y - 2*t^8.717*y + t^8.821*y | t^2.06/g1^6 + (2*t^2.343)/g1 + 2*g1^4*t^2.627 + 2*g1^9*t^2.91 + 2*g1^6*t^3.94 + (2*t^4.12)/g1^12 + (4*t^4.403)/g1^7 + (5*t^4.687)/g1^2 + t^4.866/g1^20 + 6*g1^3*t^4.97 + 7*g1^8*t^5.254 + 2*g1^13*t^5.537 + 3*g1^18*t^5.821 - 3*t^6. + (2*t^6.179)/g1^18 + 2*g1^5*t^6.283 + (4*t^6.463)/g1^13 + 3*g1^10*t^6.567 + (9*t^6.746)/g1^8 + 2*g1^15*t^6.85 + t^6.926/g1^26 + (12*t^7.03)/g1^3 + (2*t^7.209)/g1^21 + 10*g1^2*t^7.313 + t^7.493/g1^16 + 12*g1^7*t^7.597 - (2*t^7.776)/g1^11 + 13*g1^12*t^7.88 - (5*t^8.06)/g1^6 + 8*g1^17*t^8.164 + (2*t^8.239)/g1^24 - (8*t^8.343)/g1 + 3*g1^22*t^8.447 + (4*t^8.523)/g1^19 - 5*g1^4*t^8.627 + 4*g1^27*t^8.731 + (9*t^8.806)/g1^14 - 4*g1^9*t^8.91 + (2*t^8.986)/g1^32 - (g1^2*t^4.313)/y - t^6.373/(g1^4*y) - (2*g1*t^6.657)/y - (g1^6*t^6.94)/y - (2*g1^11*t^7.224)/y + (4*t^7.403)/(g1^7*y) + (4*t^7.687)/(g1^2*y) + (8*g1^3*t^7.97)/y + (6*g1^8*t^8.254)/y - t^8.433/(g1^10*y) + (4*g1^13*t^8.537)/y - (2*t^8.717)/(g1^5*y) + (g1^18*t^8.821)/y - g1^2*t^4.313*y - (t^6.373*y)/g1^4 - 2*g1*t^6.657*y - g1^6*t^6.94*y - 2*g1^11*t^7.224*y + (4*t^7.403*y)/g1^7 + (4*t^7.687*y)/g1^2 + 8*g1^3*t^7.97*y + 6*g1^8*t^8.254*y - (t^8.433*y)/g1^10 + 4*g1^13*t^8.537*y - (2*t^8.717*y)/g1^5 + g1^18*t^8.821*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 |
|---|---|---|---|---|---|---|---|---|
| 4033 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{7}q_{1}q_{2}$ + ${ }M_{1}M_{8}$ + ${ }M_{4}X_{1}$ | 0.6945 | 0.8612 | 0.8064 | [X:[1.336], M:[1.004, 1.1093, 1.004, 0.664, 0.8907, 0.7773, 0.7773, 0.996], q:[0.7773, 0.4453], qb:[0.5506, 0.4453], phi:[0.4453]] | 2*t^2.332 + 2*t^2.672 + t^2.988 + t^3.012 + t^3.984 + 3*t^4.008 + 2*t^4.324 + t^4.64 + 3*t^4.664 + 4*t^5.004 + 2*t^5.32 + 5*t^5.344 + 2*t^5.66 + t^5.976 - 4*t^6. - t^4.336/y - t^4.336*y | detail | |
| 4032 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{7}q_{1}q_{2}$ + ${ }M_{4}M_{8}$ | 0.6958 | 0.8638 | 0.8055 | [M:[0.9672, 1.1257, 0.9672, 0.6885, 0.8743, 0.7814, 0.7814, 1.3115], q:[0.7814, 0.4372], qb:[0.5957, 0.4372], phi:[0.4372]] | 2*t^2.344 + 2*t^2.623 + 2*t^2.902 + 3*t^3.934 + t^4.131 + 2*t^4.41 + 3*t^4.689 + t^4.885 + 4*t^4.967 + 7*t^5.246 + 2*t^5.524 + 3*t^5.803 - 5*t^6. - t^4.311/y - t^4.311*y | detail | |
| 4034 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{7}q_{1}q_{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ | 0.7372 | 0.9444 | 0.7806 | [M:[0.9725, 1.1233, 0.9725, 0.685, 0.8767, 0.7808, 0.7808, 0.685], q:[0.7808, 0.4383], qb:[0.5891, 0.4383], phi:[0.4383]] | 2*t^2.055 + 2*t^2.342 + 2*t^2.63 + 2*t^2.918 + t^3.945 + 4*t^4.11 + 6*t^4.397 + 7*t^4.685 + t^4.85 + 8*t^4.973 + 7*t^5.26 + 2*t^5.548 + 3*t^5.835 - 3*t^6. - t^4.315/y - t^4.315*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1056 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}q_{2}$ | 0.699 | 0.8728 | 0.8008 | [M:[0.9679, 1.1254, 0.9679, 0.6881, 0.8746, 0.7813], q:[0.7813, 0.4373], qb:[0.5948, 0.4373], phi:[0.4373]] | t^2.064 + t^2.344 + 2*t^2.624 + 2*t^2.904 + t^3.656 + 2*t^3.936 + 2*t^4.128 + 3*t^4.408 + 3*t^4.688 + t^4.881 + 4*t^4.968 + 5*t^5.248 + 2*t^5.528 + t^5.72 + 3*t^5.808 - 2*t^6. - t^4.312/y - t^4.312*y | detail |