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 |
---|---|---|---|---|---|---|---|---|---|
2878 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6751 | 0.8593 | 0.7856 | [M:[0.7632, 0.8553, 0.671, 1.1447, 0.7632, 0.7632], q:[0.7632, 0.4737], qb:[0.3816, 0.8553], phi:[0.3816]] | [M:[[-2], [3], [-7], [-3], [-2], [-2]], q:[[-2], [4]], qb:[[-1], [3]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | ${}M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ | -2 | t^2.013 + 4*t^2.289 + t^2.566 + 2*t^3.434 + t^3.987 + t^4.026 + 4*t^4.303 + 11*t^4.579 + 5*t^4.855 + t^5.132 + 2*t^5.447 + 6*t^5.724 - 2*t^6. + t^6.039 + 2*t^6.276 + 4*t^6.316 + t^6.553 + 11*t^6.592 + 26*t^6.868 + 9*t^7.145 + 2*t^7.461 - t^7.697 + 6*t^7.737 + t^7.974 + 10*t^8.013 + t^8.053 - 11*t^8.289 + 4*t^8.329 - 4*t^8.566 + 11*t^8.605 + t^8.842 + 26*t^8.882 - t^4.145/y - t^6.158/y - (4*t^6.434)/y + (4*t^7.303)/y + (7*t^7.579)/y + (8*t^7.855)/y + t^8.132/y - t^8.171/y - (2*t^8.447)/y - (2*t^8.724)/y - t^4.145*y - t^6.158*y - 4*t^6.434*y + 4*t^7.303*y + 7*t^7.579*y + 8*t^7.855*y + t^8.132*y - t^8.171*y - 2*t^8.447*y - 2*t^8.724*y | t^2.013/g1^7 + (4*t^2.289)/g1^2 + g1^3*t^2.566 + (2*t^3.434)/g1^3 + g1^7*t^3.987 + t^4.026/g1^14 + (4*t^4.303)/g1^9 + (11*t^4.579)/g1^4 + 5*g1*t^4.855 + g1^6*t^5.132 + (2*t^5.447)/g1^10 + (6*t^5.724)/g1^5 - 2*t^6. + t^6.039/g1^21 + 2*g1^5*t^6.276 + (4*t^6.316)/g1^16 + g1^10*t^6.553 + (11*t^6.592)/g1^11 + (26*t^6.868)/g1^6 + (9*t^7.145)/g1 + (2*t^7.461)/g1^17 - g1^9*t^7.697 + (6*t^7.737)/g1^12 + g1^14*t^7.974 + (10*t^8.013)/g1^7 + t^8.053/g1^28 - (11*t^8.289)/g1^2 + (4*t^8.329)/g1^23 - 4*g1^3*t^8.566 + (11*t^8.605)/g1^18 + g1^8*t^8.842 + (26*t^8.882)/g1^13 - t^4.145/(g1*y) - t^6.158/(g1^8*y) - (4*t^6.434)/(g1^3*y) + (4*t^7.303)/(g1^9*y) + (7*t^7.579)/(g1^4*y) + (8*g1*t^7.855)/y + (g1^6*t^8.132)/y - t^8.171/(g1^15*y) - (2*t^8.447)/(g1^10*y) - (2*t^8.724)/(g1^5*y) - (t^4.145*y)/g1 - (t^6.158*y)/g1^8 - (4*t^6.434*y)/g1^3 + (4*t^7.303*y)/g1^9 + (7*t^7.579*y)/g1^4 + 8*g1*t^7.855*y + g1^6*t^8.132*y - (t^8.171*y)/g1^15 - (2*t^8.447*y)/g1^10 - (2*t^8.724*y)/g1^5 |
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 |
---|---|---|---|---|---|---|---|---|
3442 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{7}$ | 0.6881 | 0.8804 | 0.7816 | [M:[0.7692, 0.8461, 0.6924, 1.1539, 0.7692, 0.7692, 0.8461], q:[0.7692, 0.4615], qb:[0.3846, 0.8461], phi:[0.3846]] | t^2.077 + 4*t^2.308 + 2*t^2.538 + t^3.462 + t^3.923 + t^4.154 + 4*t^4.385 + 12*t^4.615 + 9*t^4.846 + 3*t^5.077 + t^5.539 + 2*t^5.769 - 2*t^6. - t^4.154/y - t^4.154*y | detail | |
3443 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6959 | 0.9008 | 0.7725 | [M:[0.7628, 0.8558, 0.6699, 1.1442, 0.7628, 0.7628, 0.6699], q:[0.7628, 0.4744], qb:[0.3814, 0.8558], phi:[0.3814]] | 2*t^2.01 + 4*t^2.288 + t^2.567 + 2*t^3.433 + 3*t^4.019 + 8*t^4.298 + 12*t^4.577 + 5*t^4.856 + t^5.135 + 4*t^5.442 + 6*t^5.721 - 3*t^6. - t^4.144/y - t^4.144*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 |
---|---|---|---|---|---|---|---|---|---|
1867 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | 0.6567 | 0.8256 | 0.7954 | [M:[0.7658, 0.8514, 0.6801, 1.1486, 0.7658], q:[0.7658, 0.4685], qb:[0.3829, 0.8514], phi:[0.3829]] | t^2.04 + 3*t^2.297 + t^2.554 + 2*t^3.446 + t^3.703 + t^3.96 + t^4.081 + 3*t^4.338 + 7*t^4.595 + 4*t^4.851 + t^5.108 + 2*t^5.486 + 5*t^5.743 + t^6. - t^4.149/y - t^4.149*y | detail |