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 |
|---|---|---|---|---|---|---|---|---|---|
| 56877 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ + ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$ | 0.7139 | 0.8924 | 0.8 | [M:[1.0681, 1.0857, 0.9319, 0.7604, 0.9143, 0.9143, 0.778], q:[0.3802, 0.5517], qb:[0.5341, 0.6879], phi:[0.4615]] | [M:[[2], [-2], [-2], [2], [2], [2], [-2]], q:[[1], [-3]], qb:[[1], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{7}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{7}$, ${ }M_{1}M_{4}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$ | ${}$ | -2 | t^2.281 + t^2.334 + 2*t^2.743 + t^2.769 + t^2.796 + t^3.204 + t^3.666 + t^4.127 + t^4.18 + t^4.563 + 2*t^4.589 + t^4.615 + t^4.642 + t^4.668 + t^4.695 + 2*t^5.024 + 2*t^5.051 + 2*t^5.077 + 2*t^5.103 + t^5.13 + 3*t^5.486 + 3*t^5.512 + 2*t^5.538 + t^5.565 + 2*t^5.947 + t^5.974 - 2*t^6. - t^6.053 + 3*t^6.409 + t^6.435 - t^6.462 + t^6.844 + 4*t^6.87 + t^6.897 + 2*t^6.923 + 2*t^6.949 + 2*t^6.976 + t^7.002 + t^7.029 + 2*t^7.305 + 6*t^7.332 + 3*t^7.358 + 3*t^7.385 + 2*t^7.411 + 3*t^7.437 + 2*t^7.464 + t^7.49 + 3*t^7.767 + 6*t^7.793 + t^7.82 + 3*t^7.846 + 2*t^7.873 + t^7.899 - t^7.925 + 4*t^8.228 + 7*t^8.255 - t^8.281 + 2*t^8.308 - 3*t^8.334 - t^8.387 + 4*t^8.69 + 5*t^8.716 - 7*t^8.743 - t^8.769 - 5*t^8.796 - t^8.848 + t^8.875 - t^4.385/y - t^6.666/y - t^6.719/y - t^7.127/y - t^7.154/y + (2*t^7.615)/y + t^7.642/y + (2*t^8.024)/y + (2*t^8.051)/y + (3*t^8.077)/y + (2*t^8.103)/y + t^8.13/y + (2*t^8.486)/y + (2*t^8.512)/y + (3*t^8.538)/y + t^8.565/y + (2*t^8.947)/y + t^8.974/y - t^4.385*y - t^6.666*y - t^6.719*y - t^7.127*y - t^7.154*y + 2*t^7.615*y + t^7.642*y + 2*t^8.024*y + 2*t^8.051*y + 3*t^8.077*y + 2*t^8.103*y + t^8.13*y + 2*t^8.486*y + 2*t^8.512*y + 3*t^8.538*y + t^8.565*y + 2*t^8.947*y + t^8.974*y | g1^2*t^2.281 + t^2.334/g1^2 + 2*g1^2*t^2.743 + t^2.769 + t^2.796/g1^2 + g1^2*t^3.204 + g1^2*t^3.666 + g1^2*t^4.127 + t^4.18/g1^2 + g1^4*t^4.563 + 2*g1^2*t^4.589 + t^4.615 + t^4.642/g1^2 + t^4.668/g1^4 + t^4.695/g1^6 + 2*g1^4*t^5.024 + 2*g1^2*t^5.051 + 2*t^5.077 + (2*t^5.103)/g1^2 + t^5.13/g1^4 + 3*g1^4*t^5.486 + 3*g1^2*t^5.512 + 2*t^5.538 + t^5.565/g1^2 + 2*g1^4*t^5.947 + g1^2*t^5.974 - 2*t^6. - t^6.053/g1^4 + 3*g1^4*t^6.409 + g1^2*t^6.435 - t^6.462 + g1^6*t^6.844 + 4*g1^4*t^6.87 + g1^2*t^6.897 + 2*t^6.923 + (2*t^6.949)/g1^2 + (2*t^6.976)/g1^4 + t^7.002/g1^6 + t^7.029/g1^8 + 2*g1^6*t^7.305 + 6*g1^4*t^7.332 + 3*g1^2*t^7.358 + 3*t^7.385 + (2*t^7.411)/g1^2 + (3*t^7.437)/g1^4 + (2*t^7.464)/g1^6 + t^7.49/g1^8 + 3*g1^6*t^7.767 + 6*g1^4*t^7.793 + g1^2*t^7.82 + 3*t^7.846 + (2*t^7.873)/g1^2 + t^7.899/g1^4 - t^7.925/g1^6 + 4*g1^6*t^8.228 + 7*g1^4*t^8.255 - g1^2*t^8.281 + 2*t^8.308 - (3*t^8.334)/g1^2 - t^8.387/g1^6 + 4*g1^6*t^8.69 + 5*g1^4*t^8.716 - 7*g1^2*t^8.743 - t^8.769 - (5*t^8.796)/g1^2 - t^8.848/g1^6 + t^8.875/g1^8 - t^4.385/y - (g1^2*t^6.666)/y - t^6.719/(g1^2*y) - (g1^2*t^7.127)/y - t^7.154/y + (2*t^7.615)/y + t^7.642/(g1^2*y) + (2*g1^4*t^8.024)/y + (2*g1^2*t^8.051)/y + (3*t^8.077)/y + (2*t^8.103)/(g1^2*y) + t^8.13/(g1^4*y) + (2*g1^4*t^8.486)/y + (2*g1^2*t^8.512)/y + (3*t^8.538)/y + t^8.565/(g1^2*y) + (2*g1^4*t^8.947)/y + (g1^2*t^8.974)/y - t^4.385*y - g1^2*t^6.666*y - (t^6.719*y)/g1^2 - g1^2*t^7.127*y - t^7.154*y + 2*t^7.615*y + (t^7.642*y)/g1^2 + 2*g1^4*t^8.024*y + 2*g1^2*t^8.051*y + 3*t^8.077*y + (2*t^8.103*y)/g1^2 + (t^8.13*y)/g1^4 + 2*g1^4*t^8.486*y + 2*g1^2*t^8.512*y + 3*t^8.538*y + (t^8.565*y)/g1^2 + 2*g1^4*t^8.947*y + g1^2*t^8.974*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 |
|---|---|---|---|---|---|---|---|---|
| 58644 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ + ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}M_{6}$ | 0.6928 | 0.8659 | 0.8001 | [M:[1.1538, 1.0, 0.8462, 0.8462, 1.0, 1.0, 0.6923], q:[0.4231, 0.4231], qb:[0.5769, 0.7308], phi:[0.4615]] | t^2.077 + 2*t^2.538 + t^2.769 + 2*t^3. + t^3.462 + 3*t^3.923 + t^4.154 + 2*t^4.385 + 2*t^4.615 + 4*t^4.846 + 3*t^5.077 + 3*t^5.308 + 3*t^5.538 + 3*t^5.769 + 2*t^6. - t^4.385/y - t^4.385*y | detail | {a: 12177/17576, c: 15219/17576, M1: 15/13, M2: 1, M3: 11/13, M4: 11/13, M5: 1, M6: 1, M7: 9/13, q1: 11/26, q2: 11/26, qb1: 15/26, qb2: 19/26, phi1: 6/13} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 55226 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ | 0.7289 | 0.9135 | 0.7979 | [M:[1.0067, 1.0715, 0.9933, 0.8502, 0.9285, 0.9285, 0.6694], q:[0.4251, 0.5682], qb:[0.5033, 0.5816], phi:[0.4804]] | t^2.008 + t^2.551 + 2*t^2.785 + t^2.883 + t^2.98 + t^3.02 + t^3.255 + t^4.016 + t^4.227 + t^4.421 + 2*t^4.461 + t^4.559 + t^4.656 + t^4.696 + 2*t^4.793 + t^4.851 + 2*t^4.891 + t^4.931 + t^4.988 + t^5.028 + t^5.101 + t^5.263 + 2*t^5.336 + t^5.433 + 3*t^5.571 + 2*t^5.668 + t^5.765 + 2*t^5.805 + t^5.863 + t^5.903 - 3*t^6. - t^4.441/y - t^4.441*y | detail |