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 |
---|---|---|---|---|---|---|---|---|---|
247 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6218 | 0.7781 | 0.7992 | [M:[1.1561, 1.1561, 0.6878], q:[0.75, 0.4378], qb:[0.4061, 0.4061], phi:[0.5]] | [M:[[1], [1], [-2]], q:[[0], [-2]], qb:[[1], [1]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{3}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{1}q_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | -2 | t^2.063 + t^2.437 + t^3. + 4*t^3.468 + t^3.563 + 2*t^3.937 + 2*t^4.032 + 2*t^4.127 + t^4.5 + t^4.873 + t^5.063 + t^5.437 + 4*t^5.532 + t^5.627 + 2*t^5.905 - 2*t^6. + 2*t^6.19 + 2*t^6.373 + 2*t^6.468 + t^6.563 + 9*t^6.937 + 2*t^7.032 + 2*t^7.127 + t^7.31 + 4*t^7.405 + 3*t^7.5 + 6*t^7.595 + 2*t^7.69 + 3*t^7.873 + 2*t^7.968 - t^8.063 + 2*t^8.158 + 3*t^8.253 + 2*t^8.342 - 2*t^8.437 + t^8.627 + 2*t^8.81 - t^4.5/y - t^6.563/y + (2*t^7.032)/y + t^7.5/y - (2*t^7.968)/y + t^8.063/y + (2*t^8.437)/y + (4*t^8.532)/y + (4*t^8.905)/y - t^4.5*y - t^6.563*y + 2*t^7.032*y + t^7.5*y - 2*t^7.968*y + t^8.063*y + 2*t^8.437*y + 4*t^8.532*y + 4*t^8.905*y | t^2.063/g1^2 + g1^2*t^2.437 + t^3. + 4*g1*t^3.468 + t^3.563/g1^2 + 2*g1^2*t^3.937 + (2*t^4.032)/g1 + (2*t^4.127)/g1^4 + t^4.5 + g1^4*t^4.873 + t^5.063/g1^2 + g1^2*t^5.437 + (4*t^5.532)/g1 + t^5.627/g1^4 + 2*g1^3*t^5.905 - 2*t^6. + (2*t^6.19)/g1^6 + 2*g1^4*t^6.373 + 2*g1*t^6.468 + t^6.563/g1^2 + 9*g1^2*t^6.937 + (2*t^7.032)/g1 + (2*t^7.127)/g1^4 + g1^6*t^7.31 + 4*g1^3*t^7.405 + 3*t^7.5 + (6*t^7.595)/g1^3 + (2*t^7.69)/g1^6 + 3*g1^4*t^7.873 + 2*g1*t^7.968 - t^8.063/g1^2 + (2*t^8.158)/g1^5 + (3*t^8.253)/g1^8 + 2*g1^5*t^8.342 - 2*g1^2*t^8.437 + t^8.627/g1^4 + 2*g1^6*t^8.81 - t^4.5/y - t^6.563/(g1^2*y) + (2*t^7.032)/(g1*y) + t^7.5/y - (2*g1*t^7.968)/y + t^8.063/(g1^2*y) + (2*g1^2*t^8.437)/y + (4*t^8.532)/(g1*y) + (4*g1^3*t^8.905)/y - t^4.5*y - (t^6.563*y)/g1^2 + (2*t^7.032*y)/g1 + t^7.5*y - 2*g1*t^7.968*y + (t^8.063*y)/g1^2 + 2*g1^2*t^8.437*y + (4*t^8.532*y)/g1 + 4*g1^3*t^8.905*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 |
---|---|---|---|---|---|---|---|---|
391 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}M_{4}$ | 0.6011 | 0.7381 | 0.8144 | [M:[1.154, 1.154, 0.6919, 1.3081], q:[0.75, 0.4419], qb:[0.404, 0.404], phi:[0.5]] | t^2.424 + t^3. + 4*t^3.462 + t^3.576 + 3*t^3.924 + 2*t^4.038 + t^4.151 + t^4.849 + t^5.424 + 2*t^5.886 - 4*t^6. - t^4.5/y - t^4.5*y | detail | |
392 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6426 | 0.8185 | 0.785 | [M:[1.1576, 1.1576, 0.6848, 0.6848], q:[0.75, 0.4348], qb:[0.4076, 0.4076], phi:[0.5]] | 2*t^2.054 + t^2.446 + t^3. + 4*t^3.473 + t^3.554 + t^3.946 + 2*t^4.027 + 4*t^4.109 + 2*t^4.5 + t^4.891 + 2*t^5.054 + t^5.446 + 8*t^5.527 + 2*t^5.609 + 2*t^5.919 - 2*t^6. - t^4.5/y - t^4.5*y | detail | |
393 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}X_{1}$ | 0.5859 | 0.7109 | 0.8242 | [X:[1.3333], M:[1.1667, 1.1667, 0.6667, 1.1667], q:[0.75, 0.4167], qb:[0.4167, 0.4167], phi:[0.5]] | t^3. + 6*t^3.5 + 6*t^4. - 9*t^6. - t^4.5/y - t^4.5*y | detail | {a: 75/128, c: 91/128, X1: 4/3, M1: 7/6, M2: 7/6, M3: 2/3, M4: 7/6, q1: 3/4, q2: 5/12, qb1: 5/12, qb2: 5/12, phi1: 1/2} |
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 |
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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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
158 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6219 | 0.7787 | 0.7986 | [M:[1.1511, 1.1598, 0.6804], q:[0.75, 0.4391], qb:[0.4098, 0.4011], phi:[0.5]] | t^2.041 + t^2.433 + t^3. + 2*t^3.453 + 2*t^3.479 + t^3.567 + t^3.906 + t^3.933 + t^4.021 + t^4.047 + t^4.083 + t^4.135 + t^4.474 + t^4.865 + t^5.041 + t^5.433 + 2*t^5.495 + 2*t^5.521 + t^5.609 + t^5.886 + t^5.912 + t^5.948 - 2*t^6. - t^4.5/y - t^4.5*y | detail |