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 |
---|---|---|---|---|---|---|---|---|---|
47037 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ | 0.6499 | 0.8094 | 0.803 | [M:[1.1637, 0.7456, 0.8363, 0.806, 0.8363], q:[0.403, 0.4332], qb:[0.8514, 0.7607], phi:[0.3879]] | [M:[[12], [18], [-12], [-2], [-12]], q:[[-1], [-11]], qb:[[-17], [13]], phi:[[4]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{3}$, ${ }M_{5}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$ | ${}\phi_{1}^{3}q_{1}q_{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$ | 0 | t^2.237 + t^2.327 + t^2.418 + 2*t^2.509 + t^3.582 + t^3.673 + t^3.763 + t^3.854 + t^4.474 + t^4.564 + 2*t^4.655 + 3*t^4.746 + 4*t^4.836 + 2*t^4.927 + 3*t^5.018 + 3*t^6.091 + 3*t^6.181 + 3*t^6.272 + 2*t^6.363 + t^6.71 + t^6.801 + 2*t^6.892 + 3*t^6.982 + 3*t^7.073 + 4*t^7.164 + 4*t^7.254 + 5*t^7.345 + 3*t^7.436 + 5*t^7.526 + t^7.617 + t^7.708 - t^8.146 - 2*t^8.237 - 2*t^8.327 - 2*t^8.418 + 5*t^8.599 + 6*t^8.69 + 5*t^8.781 + 3*t^8.871 + t^8.947 - t^4.164/y - t^6.401/y - t^6.491/y - t^6.582/y - t^6.673/y + t^7.564/y + (2*t^7.655)/y + (4*t^7.746)/y + (3*t^7.836)/y + (3*t^7.927)/y + t^8.018/y - t^8.637/y - t^8.728/y - t^8.819/y - t^4.164*y - t^6.401*y - t^6.491*y - t^6.582*y - t^6.673*y + t^7.564*y + 2*t^7.655*y + 4*t^7.746*y + 3*t^7.836*y + 3*t^7.927*y + t^8.018*y - t^8.637*y - t^8.728*y - t^8.819*y | g1^18*t^2.237 + g1^8*t^2.327 + t^2.418/g1^2 + (2*t^2.509)/g1^12 + g1^2*t^3.582 + t^3.673/g1^8 + t^3.763/g1^18 + t^3.854/g1^28 + g1^36*t^4.474 + g1^26*t^4.564 + 2*g1^16*t^4.655 + 3*g1^6*t^4.746 + (4*t^4.836)/g1^4 + (2*t^4.927)/g1^14 + (3*t^5.018)/g1^24 + (3*t^6.091)/g1^10 + (3*t^6.181)/g1^20 + (3*t^6.272)/g1^30 + (2*t^6.363)/g1^40 + g1^54*t^6.71 + g1^44*t^6.801 + 2*g1^34*t^6.892 + 3*g1^24*t^6.982 + 3*g1^14*t^7.073 + 4*g1^4*t^7.164 + (4*t^7.254)/g1^6 + (5*t^7.345)/g1^16 + (3*t^7.436)/g1^26 + (5*t^7.526)/g1^36 + t^7.617/g1^46 + t^7.708/g1^56 - g1^28*t^8.146 - 2*g1^18*t^8.237 - 2*g1^8*t^8.327 - (2*t^8.418)/g1^2 + (5*t^8.599)/g1^22 + (6*t^8.69)/g1^32 + (5*t^8.781)/g1^42 + (3*t^8.871)/g1^52 + g1^72*t^8.947 - (g1^4*t^4.164)/y - (g1^22*t^6.401)/y - (g1^12*t^6.491)/y - (g1^2*t^6.582)/y - t^6.673/(g1^8*y) + (g1^26*t^7.564)/y + (2*g1^16*t^7.655)/y + (4*g1^6*t^7.746)/y + (3*t^7.836)/(g1^4*y) + (3*t^7.927)/(g1^14*y) + t^8.018/(g1^24*y) - (g1^40*t^8.637)/y - (g1^30*t^8.728)/y - (g1^20*t^8.819)/y - g1^4*t^4.164*y - g1^22*t^6.401*y - g1^12*t^6.491*y - g1^2*t^6.582*y - (t^6.673*y)/g1^8 + g1^26*t^7.564*y + 2*g1^16*t^7.655*y + 4*g1^6*t^7.746*y + (3*t^7.836*y)/g1^4 + (3*t^7.927*y)/g1^14 + (t^8.018*y)/g1^24 - g1^40*t^8.637*y - g1^30*t^8.728*y - g1^20*t^8.819*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 |
---|---|---|---|---|---|---|---|---|
55092 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{4}M_{6}$ | 0.6338 | 0.781 | 0.8115 | [M:[1.1617, 0.7426, 0.8383, 0.8064, 0.8383, 1.1936], q:[0.4032, 0.4351], qb:[0.8542, 0.7585], phi:[0.3872]] | t^2.228 + t^2.323 + 2*t^2.515 + 2*t^3.581 + t^3.677 + t^3.772 + t^3.868 + t^4.456 + t^4.551 + t^4.647 + 2*t^4.743 + 3*t^4.838 + 3*t^5.03 + t^5.809 + t^5.904 - t^6. - t^4.162/y - t^4.162*y | detail | |
55200 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ | 0.6679 | 0.8411 | 0.7941 | [M:[1.1573, 0.736, 0.8427, 0.8071, 0.8427, 0.7715], q:[0.4036, 0.4391], qb:[0.8605, 0.7538], phi:[0.3858]] | t^2.208 + 2*t^2.315 + t^2.421 + 2*t^2.528 + t^3.579 + t^3.792 + t^3.899 + t^4.416 + 2*t^4.523 + 4*t^4.629 + 4*t^4.736 + 6*t^4.843 + 2*t^4.949 + 3*t^5.056 - t^6. - t^4.157/y - t^4.157*y | detail | |
55180 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6694 | 0.8449 | 0.7923 | [M:[1.1542, 0.7313, 0.8458, 0.8076, 0.8458, 0.7313], q:[0.4038, 0.442], qb:[0.8649, 0.7504], phi:[0.3847]] | 2*t^2.194 + t^2.308 + t^2.423 + 2*t^2.537 + t^3.577 + t^3.692 + t^3.921 + 3*t^4.388 + 2*t^4.502 + 3*t^4.617 + 5*t^4.731 + 4*t^4.846 + 2*t^4.96 + 3*t^5.075 + t^5.771 + t^5.885 - t^6. - t^4.154/y - t^4.154*y | detail | |
55386 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6322 | 0.7785 | 0.8121 | [M:[1.1706, 0.7558, 0.8294, 0.8049, 0.8294, 1.2196], q:[0.4025, 0.427], qb:[0.8417, 0.7681], phi:[0.3902]] | t^2.267 + t^2.415 + 2*t^2.488 + t^3.585 + 2*t^3.659 + t^3.733 + t^3.806 + t^4.535 + t^4.682 + 2*t^4.756 + 2*t^4.829 + 2*t^4.903 + 3*t^4.977 - t^6. - t^4.171/y - t^4.171*y | detail | |
55229 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ | 0.6704 | 0.8481 | 0.7904 | [M:[1.1562, 0.7343, 0.8438, 0.8073, 0.8438, 0.6978], q:[0.4037, 0.4402], qb:[0.8621, 0.7525], phi:[0.3854]] | t^2.093 + t^2.203 + t^2.312 + t^2.422 + 2*t^2.531 + t^3.578 + t^3.688 + t^3.797 + t^4.187 + t^4.296 + 2*t^4.406 + 2*t^4.515 + 4*t^4.625 + 3*t^4.734 + 4*t^4.844 + 2*t^4.953 + 3*t^5.063 + t^5.671 + t^5.781 + t^5.89 - t^4.156/y - t^4.156*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 |
---|---|---|---|---|---|---|---|---|---|
46773 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{5}$ | 0.6501 | 0.8094 | 0.8031 | [M:[1.1622, 0.7548, 0.8378, 0.7947, 0.8378], q:[0.3974, 0.4405], qb:[0.8478, 0.7648], phi:[0.3874]] | t^2.265 + t^2.324 + t^2.384 + 2*t^2.513 + t^3.546 + t^3.676 + t^3.805 + t^3.865 + t^4.529 + t^4.589 + 2*t^4.649 + t^4.708 + t^4.768 + 2*t^4.778 + 3*t^4.838 + 2*t^4.898 + 3*t^5.027 + t^5.93 - 2*t^6. - t^4.162/y - t^4.162*y | detail |