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 |
|---|---|---|---|---|---|---|---|---|---|
| 2564 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}M_{7}$ | 0.6366 | 0.7762 | 0.8202 | [X:[1.3502], M:[1.1167, 0.6498, 0.8579, 0.9086, 1.0914, 0.9086, 1.0914], q:[0.5584, 0.3249], qb:[0.5837, 0.7665], phi:[0.4416]] | [X:[[6]], M:[[2], [-6], [-11], [7], [-7], [7], [-7]], q:[[1], [-3]], qb:[[10], [-4]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }M_{5}$, ${ }M_{7}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{7}$, ${ }M_{1}M_{3}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$ | ${}M_{6}M_{7}$ | -2 | t^2.574 + t^2.65 + t^2.726 + 2*t^3.274 + t^3.35 + 2*t^3.975 + 2*t^4.051 + t^4.599 + t^4.751 + t^4.827 + t^5.148 + 2*t^5.3 + t^5.376 + 2*t^5.848 + 3*t^5.924 - 2*t^6. + 3*t^6.548 + 3*t^6.624 + t^6.7 + t^7.173 + 3*t^7.249 + 2*t^7.325 + 2*t^7.401 + t^7.477 + t^7.553 + t^7.721 + 2*t^7.873 + 2*t^7.949 + 2*t^8.025 + 3*t^8.101 + 2*t^8.422 + 2*t^8.498 - t^8.65 - 3*t^8.726 + t^8.802 + 2*t^8.878 - t^4.325/y - t^6.899/y + t^7.751/y + t^8.224/y + t^8.3/y + t^8.376/y + (2*t^8.848)/y + (3*t^8.924)/y - t^4.325*y - t^6.899*y + t^7.751*y + t^8.224*y + t^8.3*y + t^8.376*y + 2*t^8.848*y + 3*t^8.924*y | t^2.574/g1^11 + t^2.65/g1^2 + g1^7*t^2.726 + (2*t^3.274)/g1^7 + g1^2*t^3.35 + (2*t^3.975)/g1^3 + 2*g1^6*t^4.051 + t^4.599/g1^8 + g1^10*t^4.751 + g1^19*t^4.827 + t^5.148/g1^22 + (2*t^5.3)/g1^4 + g1^5*t^5.376 + (2*t^5.848)/g1^18 + (3*t^5.924)/g1^9 - 2*t^6. + (3*t^6.548)/g1^14 + (3*t^6.624)/g1^5 + g1^4*t^6.7 + t^7.173/g1^19 + (3*t^7.249)/g1^10 + (2*t^7.325)/g1 + 2*g1^8*t^7.401 + g1^17*t^7.477 + g1^26*t^7.553 + t^7.721/g1^33 + (2*t^7.873)/g1^15 + (2*t^7.949)/g1^6 + 2*g1^3*t^8.025 + 3*g1^12*t^8.101 + (2*t^8.422)/g1^29 + (2*t^8.498)/g1^20 - t^8.65/g1^2 - 3*g1^7*t^8.726 + g1^16*t^8.802 + 2*g1^25*t^8.878 - t^4.325/(g1*y) - t^6.899/(g1^12*y) + (g1^10*t^7.751)/y + t^8.224/(g1^13*y) + t^8.3/(g1^4*y) + (g1^5*t^8.376)/y + (2*t^8.848)/(g1^18*y) + (3*t^8.924)/(g1^9*y) - (t^4.325*y)/g1 - (t^6.899*y)/g1^12 + g1^10*t^7.751*y + (t^8.224*y)/g1^13 + (t^8.3*y)/g1^4 + g1^5*t^8.376*y + (2*t^8.848*y)/g1^18 + (3*t^8.924*y)/g1^9 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4643 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}M_{7}$ + ${ }M_{1}M_{8}$ | 0.6472 | 0.7944 | 0.8147 | [X:[1.355], M:[1.1183, 0.645, 0.8492, 0.9142, 1.0858, 0.9142, 1.0858, 0.8817], q:[0.5592, 0.3225], qb:[0.5917, 0.7633], phi:[0.4408]] | t^2.548 + 2*t^2.645 + t^2.742 + 2*t^3.258 + 2*t^3.968 + 2*t^4.065 + t^4.58 + t^4.775 + t^4.872 + t^5.095 + t^5.193 + 4*t^5.29 + 2*t^5.387 + 2*t^5.805 + 4*t^5.903 - 3*t^6. - t^4.323/y - t^4.323*y | detail | |
| 4640 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}M_{7}$ + ${ }M_{3}^{2}$ | 0.6191 | 0.7555 | 0.8195 | [X:[1.2727], M:[1.0909, 0.7273, 1.0, 0.8182, 1.1818, 0.8182, 1.1818], q:[0.5455, 0.3636], qb:[0.4545, 0.8182], phi:[0.4545]] | t^2.455 + t^2.727 + t^3. + t^3.273 + 2*t^3.545 + 2*t^3.818 + 3*t^4.091 + t^4.364 + t^4.909 + t^5.182 + 2*t^5.455 - t^6. - t^4.364/y - t^4.364*y | detail | {a: 13185/21296, c: 16089/21296, X1: 14/11, M1: 12/11, M2: 8/11, M3: 1, M4: 9/11, M5: 13/11, M6: 9/11, M7: 13/11, q1: 6/11, q2: 4/11, qb1: 5/11, qb2: 9/11, phi1: 5/11} |
| 4644 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}M_{7}$ + ${ }M_{8}\phi_{1}q_{1}q_{2}$ | 0.6574 | 0.8173 | 0.8044 | [X:[1.3498], M:[1.1166, 0.6502, 0.8587, 0.9081, 1.0919, 0.9081, 1.0919, 0.6749], q:[0.5583, 0.3251], qb:[0.583, 0.7668], phi:[0.4417]] | t^2.025 + t^2.576 + t^2.65 + t^2.724 + 2*t^3.276 + t^3.35 + t^3.975 + 3*t^4.049 + 2*t^4.601 + t^4.675 + 2*t^4.749 + t^4.823 + t^5.152 + 4*t^5.3 + 2*t^5.375 + 2*t^5.852 + 3*t^5.926 - t^6. - t^4.325/y - t^4.325*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1476 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}X_{1}$ | 0.6458 | 0.7917 | 0.8158 | [X:[1.3333], M:[1.1111, 0.6667, 0.8889, 0.8889, 1.1111, 0.8889], q:[0.5556, 0.3333], qb:[0.5556, 0.7778], phi:[0.4444]] | 4*t^2.667 + 2*t^3.333 + 4*t^4. + 3*t^4.667 + 8*t^5.333 + 2*t^6. - t^4.333/y - t^4.333*y | detail | {a: 31/48, c: 19/24, X1: 4/3, M1: 10/9, M2: 2/3, M3: 8/9, M4: 8/9, M5: 10/9, M6: 8/9, q1: 5/9, q2: 1/3, qb1: 5/9, qb2: 7/9, phi1: 4/9} |