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 |
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1917 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ | 0.6785 | 0.8762 | 0.7744 | [M:[0.8242, 1.1758, 0.8242, 0.6758, 0.8379], q:[0.75, 0.4258], qb:[0.4121, 0.4121], phi:[0.5]] | [M:[[2], [-2], [2], [-2], [-1]], q:[[0], [-2]], qb:[[1], [1]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ | ${}M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | 0 | t^2.027 + 2*t^2.473 + 3*t^2.514 + t^3. + t^3.486 + 2*t^3.973 + 2*t^4.014 + 2*t^4.055 + 2*t^4.5 + 3*t^4.541 + 3*t^4.945 + 6*t^4.986 + 7*t^5.027 + 2*t^5.473 + 4*t^5.514 + 2*t^6.082 + 4*t^6.445 + 7*t^6.486 + 8*t^6.527 + 6*t^6.568 + 2*t^6.973 + 4*t^7.014 + 7*t^7.055 + 4*t^7.418 + 7*t^7.459 + 8*t^7.5 + 11*t^7.541 + 5*t^7.945 + 6*t^7.986 + 7*t^8.027 + 2*t^8.068 + 3*t^8.109 - t^8.432 - 6*t^8.473 - 6*t^8.514 + 2*t^8.555 + 6*t^8.596 + 6*t^8.918 + 10*t^8.959 - t^4.5/y - t^6.527/y - t^6.973/y - t^7.014/y + (2*t^7.5)/y + (3*t^7.541)/y + t^7.945/y + (7*t^7.986)/y + (5*t^8.027)/y + (3*t^8.473)/y + (4*t^8.514)/y - t^8.555/y + (2*t^8.959)/y - t^4.5*y - t^6.527*y - t^6.973*y - t^7.014*y + 2*t^7.5*y + 3*t^7.541*y + t^7.945*y + 7*t^7.986*y + 5*t^8.027*y + 3*t^8.473*y + 4*t^8.514*y - t^8.555*y + 2*t^8.959*y | t^2.027/g1^2 + 2*g1^2*t^2.473 + (3*t^2.514)/g1 + t^3. + g1*t^3.486 + 2*g1^2*t^3.973 + (2*t^4.014)/g1 + (2*t^4.055)/g1^4 + 2*t^4.5 + (3*t^4.541)/g1^3 + 3*g1^4*t^4.945 + 6*g1*t^4.986 + (7*t^5.027)/g1^2 + 2*g1^2*t^5.473 + (4*t^5.514)/g1 + (2*t^6.082)/g1^6 + 4*g1^4*t^6.445 + 7*g1*t^6.486 + (8*t^6.527)/g1^2 + (6*t^6.568)/g1^5 + 2*g1^2*t^6.973 + (4*t^7.014)/g1 + (7*t^7.055)/g1^4 + 4*g1^6*t^7.418 + 7*g1^3*t^7.459 + 8*t^7.5 + (11*t^7.541)/g1^3 + 5*g1^4*t^7.945 + 6*g1*t^7.986 + (7*t^8.027)/g1^2 + (2*t^8.068)/g1^5 + (3*t^8.109)/g1^8 - g1^5*t^8.432 - 6*g1^2*t^8.473 - (6*t^8.514)/g1 + (2*t^8.555)/g1^4 + (6*t^8.596)/g1^7 + 6*g1^6*t^8.918 + 10*g1^3*t^8.959 - t^4.5/y - t^6.527/(g1^2*y) - (g1^2*t^6.973)/y - t^7.014/(g1*y) + (2*t^7.5)/y + (3*t^7.541)/(g1^3*y) + (g1^4*t^7.945)/y + (7*g1*t^7.986)/y + (5*t^8.027)/(g1^2*y) + (3*g1^2*t^8.473)/y + (4*t^8.514)/(g1*y) - t^8.555/(g1^4*y) + (2*g1^3*t^8.959)/y - t^4.5*y - (t^6.527*y)/g1^2 - g1^2*t^6.973*y - (t^7.014*y)/g1 + 2*t^7.5*y + (3*t^7.541*y)/g1^3 + g1^4*t^7.945*y + 7*g1*t^7.986*y + (5*t^8.027*y)/g1^2 + 3*g1^2*t^8.473*y + (4*t^8.514*y)/g1 - (t^8.555*y)/g1^4 + 2*g1^3*t^8.959*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 |
---|---|---|---|---|---|---|---|---|
2951 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ | 0.6719 | 0.8594 | 0.7818 | [X:[1.3333], M:[0.8333, 1.1667, 0.8333, 0.6667, 0.8333, 0.8333], q:[0.75, 0.4167], qb:[0.4167, 0.4167], phi:[0.5]] | 6*t^2.5 + t^3. + 6*t^4. + 21*t^5. + 6*t^5.5 - 9*t^6. - t^4.5/y - t^4.5*y | detail | {a: 43/64, c: 55/64, X1: 4/3, M1: 5/6, M2: 7/6, M3: 5/6, M4: 2/3, M5: 5/6, M6: 5/6, 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 |
---|---|---|---|---|---|---|---|---|---|
566 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6647 | 0.8522 | 0.78 | [M:[0.8147, 1.1853, 0.8147, 0.6853], q:[0.75, 0.4353], qb:[0.4073, 0.4073], phi:[0.5]] | t^2.056 + 2*t^2.444 + 2*t^2.528 + t^3. + 2*t^3.472 + 2*t^3.944 + 2*t^4.028 + 2*t^4.112 + 2*t^4.5 + 2*t^4.584 + 3*t^4.888 + 4*t^4.972 + 4*t^5.056 + 2*t^5.444 + 4*t^5.528 + 2*t^5.916 + t^6. - t^4.5/y - t^4.5*y | detail |