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 |
---|---|---|---|---|---|---|---|---|---|
879 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ | 0.6512 | 0.8292 | 0.7854 | [M:[0.8048, 1.1952, 0.8048, 0.6952, 1.1524], q:[0.75, 0.4452], qb:[0.4024, 0.4024], 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 |
---|---|---|---|---|
${}M_{4}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$ | ${}M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | 0 | t^2.086 + 2*t^2.414 + t^2.543 + t^3. + 3*t^3.457 + 2*t^3.914 + 2*t^4.043 + 2*t^4.171 + 2*t^4.5 + t^4.629 + 3*t^4.829 + 2*t^4.957 + 2*t^5.086 + 2*t^5.414 + 4*t^5.543 + 4*t^5.871 + 2*t^6.257 + 4*t^6.329 + 5*t^6.457 + 4*t^6.586 + 2*t^6.714 + 7*t^6.914 + 2*t^7.171 + 4*t^7.243 + 5*t^7.371 + 2*t^7.5 + 4*t^7.629 + 5*t^7.829 + 6*t^7.957 + 2*t^8.086 + 2*t^8.214 + 5*t^8.286 + 3*t^8.343 - 2*t^8.414 - t^8.543 + 2*t^8.671 + 6*t^8.743 + 2*t^8.8 + 6*t^8.871 - t^4.5/y - t^6.586/y - t^6.914/y + t^7.043/y + (2*t^7.5)/y + t^7.629/y + t^7.829/y + t^7.957/y + (2*t^8.086)/y + (3*t^8.414)/y + (4*t^8.543)/y - t^8.671/y + (6*t^8.871)/y - t^4.5*y - t^6.586*y - t^6.914*y + t^7.043*y + 2*t^7.5*y + t^7.629*y + t^7.829*y + t^7.957*y + 2*t^8.086*y + 3*t^8.414*y + 4*t^8.543*y - t^8.671*y + 6*t^8.871*y | t^2.086/g1^2 + 2*g1^2*t^2.414 + t^2.543/g1 + t^3. + 3*g1*t^3.457 + 2*g1^2*t^3.914 + (2*t^4.043)/g1 + (2*t^4.171)/g1^4 + 2*t^4.5 + t^4.629/g1^3 + 3*g1^4*t^4.829 + 2*g1*t^4.957 + (2*t^5.086)/g1^2 + 2*g1^2*t^5.414 + (4*t^5.543)/g1 + 4*g1^3*t^5.871 + (2*t^6.257)/g1^6 + 4*g1^4*t^6.329 + 5*g1*t^6.457 + (4*t^6.586)/g1^2 + (2*t^6.714)/g1^5 + 7*g1^2*t^6.914 + (2*t^7.171)/g1^4 + 4*g1^6*t^7.243 + 5*g1^3*t^7.371 + 2*t^7.5 + (4*t^7.629)/g1^3 + 5*g1^4*t^7.829 + 6*g1*t^7.957 + (2*t^8.086)/g1^2 + (2*t^8.214)/g1^5 + 5*g1^5*t^8.286 + (3*t^8.343)/g1^8 - 2*g1^2*t^8.414 - t^8.543/g1 + (2*t^8.671)/g1^4 + 6*g1^6*t^8.743 + (2*t^8.8)/g1^7 + 6*g1^3*t^8.871 - t^4.5/y - t^6.586/(g1^2*y) - (g1^2*t^6.914)/y + t^7.043/(g1*y) + (2*t^7.5)/y + t^7.629/(g1^3*y) + (g1^4*t^7.829)/y + (g1*t^7.957)/y + (2*t^8.086)/(g1^2*y) + (3*g1^2*t^8.414)/y + (4*t^8.543)/(g1*y) - t^8.671/(g1^4*y) + (6*g1^3*t^8.871)/y - t^4.5*y - (t^6.586*y)/g1^2 - g1^2*t^6.914*y + (t^7.043*y)/g1 + 2*t^7.5*y + (t^7.629*y)/g1^3 + g1^4*t^7.829*y + g1*t^7.957*y + (2*t^8.086*y)/g1^2 + 3*g1^2*t^8.414*y + (4*t^8.543*y)/g1 - (t^8.671*y)/g1^4 + 6*g1^3*t^8.871*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 |
---|---|---|---|---|---|---|---|---|
1368 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6719 | 0.869 | 0.7731 | [M:[0.8085, 1.1915, 0.8085, 0.6915, 1.1542, 0.6915], q:[0.75, 0.4415], qb:[0.4042, 0.4042], phi:[0.5]] | 2*t^2.075 + 2*t^2.425 + t^2.537 + t^3. + 3*t^3.463 + t^3.925 + 2*t^4.037 + 4*t^4.149 + 4*t^4.5 + 2*t^4.612 + 3*t^4.851 + 2*t^4.963 + 3*t^5.075 + 2*t^5.425 + 7*t^5.537 + 4*t^5.888 - t^4.5/y - t^4.5*y | detail | |
1369 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{2}\tilde{q}_{2}$ | 0.6381 | 0.8072 | 0.7905 | [M:[0.7944, 1.2056, 0.7944, 0.7056, 1.1472, 1.1472], q:[0.75, 0.4556], qb:[0.3972, 0.3972], phi:[0.5]] | t^2.117 + 2*t^2.383 + t^3. + 4*t^3.442 + 2*t^3.883 + 2*t^4.058 + 2*t^4.233 + 2*t^4.5 + 3*t^4.767 + t^5.117 + 2*t^5.383 + 4*t^5.558 + 6*t^5.825 - 3*t^6. - t^4.5/y - t^4.5*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 |
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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 |