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 |
|---|---|---|---|---|---|---|---|---|---|
| 466 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{1}M_{4}$ | 0.5207 | 0.6457 | 0.8064 | [M:[1.0179, 0.9821, 1.148, 0.9821], q:[0.5561, 1.0179], qb:[0.426, 0.2959], phi:[0.426]] | [M:[[7], [-7], [2], [-7]], q:[[-6], [7]], qb:[[-1], [4]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }M_{4}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}^{2}$ | ${}M_{3}q_{1}\tilde{q}_{2}$ | -1 | t^2.166 + t^2.556 + 2*t^2.946 + 2*t^3.444 + t^3.834 + t^3.941 + 2*t^4.332 + 2*t^4.722 + 2*t^5.112 + t^5.502 + t^5.61 + 3*t^5.893 - t^6. + t^6.107 + 2*t^6.39 + t^6.498 + t^6.781 + 3*t^6.888 + 3*t^7.278 + t^7.385 + 2*t^7.668 + t^7.776 + t^7.883 + 2*t^8.059 - 2*t^8.166 + 2*t^8.273 + t^8.449 - t^8.556 + 2*t^8.663 + 4*t^8.839 - 5*t^8.946 - t^4.278/y - t^7.224/y + t^7.332/y + t^7.722/y + (2*t^8.112)/y + (2*t^8.502)/y + (2*t^8.61)/y + t^8.893/y - t^4.278*y - t^7.224*y + t^7.332*y + t^7.722*y + 2*t^8.112*y + 2*t^8.502*y + 2*t^8.61*y + t^8.893*y | g1^3*t^2.166 + t^2.556/g1^2 + (2*t^2.946)/g1^7 + 2*g1^2*t^3.444 + t^3.834/g1^3 + g1^11*t^3.941 + 2*g1^6*t^4.332 + 2*g1*t^4.722 + (2*t^5.112)/g1^4 + t^5.502/g1^9 + g1^5*t^5.61 + (3*t^5.893)/g1^14 - t^6. + g1^14*t^6.107 + (2*t^6.39)/g1^5 + g1^9*t^6.498 + t^6.781/g1^10 + 3*g1^4*t^6.888 + (3*t^7.278)/g1 + g1^13*t^7.385 + (2*t^7.668)/g1^6 + g1^8*t^7.776 + g1^22*t^7.883 + (2*t^8.059)/g1^11 - 2*g1^3*t^8.166 + 2*g1^17*t^8.273 + t^8.449/g1^16 - t^8.556/g1^2 + 2*g1^12*t^8.663 + (4*t^8.839)/g1^21 - (5*t^8.946)/g1^7 - t^4.278/(g1*y) - t^7.224/(g1^8*y) + (g1^6*t^7.332)/y + (g1*t^7.722)/y + (2*t^8.112)/(g1^4*y) + (2*t^8.502)/(g1^9*y) + (2*g1^5*t^8.61)/y + t^8.893/(g1^14*y) - (t^4.278*y)/g1 - (t^7.224*y)/g1^8 + g1^6*t^7.332*y + g1*t^7.722*y + (2*t^8.112*y)/g1^4 + (2*t^8.502*y)/g1^9 + 2*g1^5*t^8.61*y + (t^8.893*y)/g1^14 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1854 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ | 0.5415 | 0.6866 | 0.7886 | [M:[1.023, 0.977, 1.1494, 0.977, 0.6781], q:[0.5517, 1.023], qb:[0.4253, 0.2989], phi:[0.4253]] | t^2.034 + t^2.172 + t^2.552 + 2*t^2.931 + 2*t^3.448 + t^3.828 + t^4.069 + t^4.207 + 2*t^4.345 + t^4.586 + 2*t^4.724 + 2*t^4.965 + 2*t^5.103 + 3*t^5.483 + t^5.621 + 4*t^5.862 - t^6. - t^4.276/y - t^4.276*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 |
|---|---|---|---|---|---|---|---|---|---|
| 291 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}^{2}$ | 0.5213 | 0.6482 | 0.8042 | [M:[0.9697, 1.0303, 1.1342], q:[0.5974, 0.9697], qb:[0.4329, 0.2684], phi:[0.4329]] | t^2.104 + t^2.597 + t^2.909 + t^3.091 + 2*t^3.403 + t^3.714 + t^3.896 + 2*t^4.208 + 2*t^4.701 + t^5.013 + t^5.195 + 2*t^5.506 + 2*t^5.818 - t^4.299/y - t^4.299*y | detail | {a: 148361/284592, c: 92237/142296, M1: 32/33, M2: 34/33, M3: 262/231, q1: 46/77, q2: 32/33, qb1: 100/231, qb2: 62/231, phi1: 100/231} |