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 |
|---|---|---|---|---|---|---|---|---|---|
| 4930 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{2}M_{8}$ | 0.6065 | 0.7781 | 0.7795 | [M:[1.0, 1.018, 0.9639, 1.2545, 0.7094, 0.7455, 1.0361, 0.982], q:[0.2455, 0.7545], qb:[0.5, 0.5361], phi:[0.491]] | [M:[[0], [4], [-8], [1], [-9], [-1], [8], [-4]], q:[[-1], [1]], qb:[[0], [8]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{8}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}$, ${ }M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}M_{8}$, ${ }M_{5}\phi_{1}q_{1}^{2}$, ${ }M_{6}M_{8}$, ${ }M_{6}\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{8}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{3}\tilde{q}_{2}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }M_{8}^{2}$, ${ }M_{8}\phi_{1}q_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}^{4}$, ${ }M_{1}M_{8}$, ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.128 + t^2.236 + t^2.345 + 2*t^2.946 + t^3. + t^3.108 + t^3.709 + t^3.764 + t^3.818 + t^4.257 + t^4.365 + 3*t^4.473 + 2*t^4.581 + 2*t^4.689 + 2*t^5.074 + 2*t^5.182 + t^5.236 + 2*t^5.291 + 2*t^5.345 + t^5.453 + t^5.838 + 3*t^5.892 + 3*t^5.946 - 2*t^6. + 3*t^6.054 + t^6.162 + t^6.216 + t^6.385 + t^6.493 + 2*t^6.601 + t^6.655 + 4*t^6.709 + 4*t^6.818 - t^6.872 + 3*t^6.926 + 2*t^7.034 + 2*t^7.202 + 2*t^7.311 - t^7.365 + 6*t^7.419 + 2*t^7.527 + 2*t^7.581 + 3*t^7.635 + 3*t^7.689 - t^7.743 + 2*t^7.798 + t^7.966 + 3*t^8.02 + t^8.074 - t^8.128 + 4*t^8.182 - 2*t^8.236 + 5*t^8.291 - 4*t^8.345 + 3*t^8.399 + t^8.453 + 2*t^8.507 + t^8.513 + t^8.561 + t^8.621 + 2*t^8.729 + 2*t^8.784 + 5*t^8.838 + 2*t^8.892 - t^8.946 - t^4.473/y - t^6.601/y + t^7.365/y - t^7.419/y + t^7.473/y + t^7.527/y + t^7.581/y + (2*t^8.074)/y + t^8.128/y + (2*t^8.182)/y + (2*t^8.236)/y + (2*t^8.291)/y + (3*t^8.345)/y + t^8.453/y - t^8.729/y + t^8.838/y + (2*t^8.892)/y + (4*t^8.946)/y - t^4.473*y - t^6.601*y + t^7.365*y - t^7.419*y + t^7.473*y + t^7.527*y + t^7.581*y + 2*t^8.074*y + t^8.128*y + 2*t^8.182*y + 2*t^8.236*y + 2*t^8.291*y + 3*t^8.345*y + t^8.453*y - t^8.729*y + t^8.838*y + 2*t^8.892*y + 4*t^8.946*y | t^2.128/g1^9 + t^2.236/g1 + g1^7*t^2.345 + (2*t^2.946)/g1^4 + t^3. + g1^8*t^3.108 + t^3.709/g1^3 + g1*t^3.764 + g1^5*t^3.818 + t^4.257/g1^18 + t^4.365/g1^10 + (3*t^4.473)/g1^2 + 2*g1^6*t^4.581 + 2*g1^14*t^4.689 + (2*t^5.074)/g1^13 + (2*t^5.182)/g1^5 + t^5.236/g1 + 2*g1^3*t^5.291 + 2*g1^7*t^5.345 + g1^15*t^5.453 + t^5.838/g1^12 + (3*t^5.892)/g1^8 + (3*t^5.946)/g1^4 - 2*t^6. + 3*g1^4*t^6.054 + g1^12*t^6.162 + g1^16*t^6.216 + t^6.385/g1^27 + t^6.493/g1^19 + (2*t^6.601)/g1^11 + t^6.655/g1^7 + (4*t^6.709)/g1^3 + 4*g1^5*t^6.818 - g1^9*t^6.872 + 3*g1^13*t^6.926 + 2*g1^21*t^7.034 + (2*t^7.202)/g1^22 + (2*t^7.311)/g1^14 - t^7.365/g1^10 + (6*t^7.419)/g1^6 + 2*g1^2*t^7.527 + 2*g1^6*t^7.581 + 3*g1^10*t^7.635 + 3*g1^14*t^7.689 - g1^18*t^7.743 + 2*g1^22*t^7.798 + t^7.966/g1^21 + (3*t^8.02)/g1^17 + t^8.074/g1^13 - t^8.128/g1^9 + (4*t^8.182)/g1^5 - (2*t^8.236)/g1 + 5*g1^3*t^8.291 - 4*g1^7*t^8.345 + 3*g1^11*t^8.399 + g1^15*t^8.453 + 2*g1^19*t^8.507 + t^8.513/g1^36 + g1^23*t^8.561 + t^8.621/g1^28 + (2*t^8.729)/g1^20 + (2*t^8.784)/g1^16 + (5*t^8.838)/g1^12 + (2*t^8.892)/g1^8 - t^8.946/g1^4 - t^4.473/(g1^2*y) - t^6.601/(g1^11*y) + t^7.365/(g1^10*y) - t^7.419/(g1^6*y) + t^7.473/(g1^2*y) + (g1^2*t^7.527)/y + (g1^6*t^7.581)/y + (2*t^8.074)/(g1^13*y) + t^8.128/(g1^9*y) + (2*t^8.182)/(g1^5*y) + (2*t^8.236)/(g1*y) + (2*g1^3*t^8.291)/y + (3*g1^7*t^8.345)/y + (g1^15*t^8.453)/y - t^8.729/(g1^20*y) + t^8.838/(g1^12*y) + (2*t^8.892)/(g1^8*y) + (4*t^8.946)/(g1^4*y) - (t^4.473*y)/g1^2 - (t^6.601*y)/g1^11 + (t^7.365*y)/g1^10 - (t^7.419*y)/g1^6 + (t^7.473*y)/g1^2 + g1^2*t^7.527*y + g1^6*t^7.581*y + (2*t^8.074*y)/g1^13 + (t^8.128*y)/g1^9 + (2*t^8.182*y)/g1^5 + (2*t^8.236*y)/g1 + 2*g1^3*t^8.291*y + 3*g1^7*t^8.345*y + g1^15*t^8.453*y - (t^8.729*y)/g1^20 + (t^8.838*y)/g1^12 + (2*t^8.892*y)/g1^8 + (4*t^8.946*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 6553 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{2}M_{8}$ + ${ }M_{4}M_{9}$ | 0.6258 | 0.8133 | 0.7695 | [M:[1.0, 1.0191, 0.9619, 1.2548, 0.7071, 0.7452, 1.0381, 0.9809, 0.7452], q:[0.2452, 0.7548], qb:[0.5, 0.5381], phi:[0.4905]] | t^2.121 + 2*t^2.236 + t^2.35 + 2*t^2.943 + t^3. + t^3.114 + t^3.707 + t^3.821 + t^4.243 + 2*t^4.357 + 5*t^4.471 + 3*t^4.586 + 2*t^4.7 + 2*t^5.064 + 4*t^5.179 + 2*t^5.236 + 2*t^5.293 + 3*t^5.35 + t^5.464 + t^5.829 + 2*t^5.886 + 4*t^5.943 - 3*t^6. - t^4.471/y - t^4.471*y | detail | |
| 6552 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{2}M_{8}$ + ${ }M_{9}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6251 | 0.8117 | 0.7701 | [M:[1.0, 1.0145, 0.971, 1.2536, 0.7174, 0.7464, 1.029, 0.9855, 0.7609], q:[0.2464, 0.7536], qb:[0.5, 0.529], phi:[0.4928]] | t^2.152 + t^2.239 + t^2.283 + t^2.326 + 2*t^2.957 + t^3. + t^3.087 + t^3.761 + t^3.804 + t^4.304 + t^4.391 + t^4.435 + 3*t^4.478 + t^4.522 + 3*t^4.565 + t^4.609 + 2*t^4.652 + 2*t^5.109 + 2*t^5.196 + 3*t^5.239 + 3*t^5.283 + 2*t^5.326 + t^5.37 + t^5.413 + 3*t^5.913 + 2*t^5.957 - 2*t^6. - t^4.478/y - t^4.478*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 |
|---|---|---|---|---|---|---|---|---|---|
| 3064 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{7}$ | 0.6053 | 0.7765 | 0.7795 | [M:[1.0, 1.0083, 0.9834, 1.2521, 0.7313, 0.7479, 1.0166], q:[0.2479, 0.7521], qb:[0.5, 0.5166], phi:[0.4958]] | t^2.194 + t^2.244 + t^2.294 + t^2.975 + t^3. + t^3.025 + t^3.05 + t^3.731 + t^3.756 + t^3.781 + t^4.388 + t^4.438 + 3*t^4.488 + 2*t^4.537 + 2*t^4.587 + t^5.169 + 2*t^5.219 + t^5.244 + 2*t^5.269 + 2*t^5.294 + t^5.319 + t^5.344 + t^5.925 + t^5.95 + 2*t^5.975 - t^6. - t^4.488/y - t^4.488*y | detail |