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 |
---|---|---|---|---|---|---|---|---|---|
1069 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{6}$ | 0.6315 | 0.7847 | 0.8048 | [M:[0.8252, 1.2, 0.7748, 0.8, 0.7748, 1.1748], q:[0.8, 0.3748], qb:[0.8, 0.4252], phi:[0.4]] | [M:[[1], [0], [-1], [0], [-1], [-1]], q:[[0], [-1]], qb:[[0], [1]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{5}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{6}$, ${ }q_{1}q_{2}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{3}q_{1}q_{2}$, ${ }M_{5}q_{1}q_{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}q_{1}q_{2}$ | ${}\phi_{1}\tilde{q}_{1}^{2}$ | -1 | 2*t^2.324 + 2*t^2.4 + t^3.449 + 2*t^3.524 + t^3.6 + t^3.751 + 3*t^4.649 + 4*t^4.724 + 4*t^4.8 + 2*t^5.773 + 5*t^5.849 + 4*t^5.924 - t^6. + t^6.151 + t^6.898 + 6*t^6.973 + 8*t^7.049 + 6*t^7.124 + 3*t^7.2 - 2*t^7.276 - t^7.351 + t^7.502 + 3*t^8.098 + 8*t^8.173 + 8*t^8.249 - 4*t^8.4 - 4*t^8.476 + t^8.551 - t^4.2/y - (2*t^6.524)/y - t^6.6/y + t^7.649/y + (4*t^7.724)/y + (2*t^7.8)/y + (2*t^7.876)/y + (2*t^8.773)/y + (3*t^8.849)/y + (4*t^8.924)/y - t^4.2*y - 2*t^6.524*y - t^6.6*y + t^7.649*y + 4*t^7.724*y + 2*t^7.8*y + 2*t^7.876*y + 2*t^8.773*y + 3*t^8.849*y + 4*t^8.924*y | (2*t^2.324)/g1 + 2*t^2.4 + t^3.449/g1^2 + (2*t^3.524)/g1 + t^3.6 + g1^2*t^3.751 + (3*t^4.649)/g1^2 + (4*t^4.724)/g1 + 4*t^4.8 + (2*t^5.773)/g1^3 + (5*t^5.849)/g1^2 + (4*t^5.924)/g1 - t^6. + g1^2*t^6.151 + t^6.898/g1^4 + (6*t^6.973)/g1^3 + (8*t^7.049)/g1^2 + (6*t^7.124)/g1 + 3*t^7.2 - 2*g1*t^7.276 - g1^2*t^7.351 + g1^4*t^7.502 + (3*t^8.098)/g1^4 + (8*t^8.173)/g1^3 + (8*t^8.249)/g1^2 - 4*t^8.4 - 4*g1*t^8.476 + g1^2*t^8.551 - t^4.2/y - (2*t^6.524)/(g1*y) - t^6.6/y + t^7.649/(g1^2*y) + (4*t^7.724)/(g1*y) + (2*t^7.8)/y + (2*g1*t^7.876)/y + (2*t^8.773)/(g1^3*y) + (3*t^8.849)/(g1^2*y) + (4*t^8.924)/(g1*y) - t^4.2*y - (2*t^6.524*y)/g1 - t^6.6*y + (t^7.649*y)/g1^2 + (4*t^7.724*y)/g1 + 2*t^7.8*y + 2*g1*t^7.876*y + (2*t^8.773*y)/g1^3 + (3*t^8.849*y)/g1^2 + (4*t^8.924*y)/g1 |
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 |
---|---|---|---|---|---|---|---|---|
1663 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{6}$ + ${ }M_{2}M_{7}$ | 0.648 | 0.8137 | 0.7964 | [M:[0.8252, 1.2, 0.7748, 0.8, 0.7748, 1.1748, 0.8], q:[0.8, 0.3748], qb:[0.8, 0.4252], phi:[0.4]] | 2*t^2.324 + 3*t^2.4 + t^3.449 + 2*t^3.524 + t^3.751 + 3*t^4.649 + 6*t^4.724 + 7*t^4.8 + 2*t^5.773 + 6*t^5.849 + 4*t^5.924 - 3*t^6. - t^4.2/y - t^4.2*y | detail | |
2127 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6511 | 0.823 | 0.7911 | [M:[0.8375, 1.2, 0.7625, 0.8, 0.7625, 1.1625, 0.7249], q:[0.8, 0.3625], qb:[0.8, 0.4375], phi:[0.4]] | t^2.175 + 2*t^2.287 + 2*t^2.4 + t^3.375 + 2*t^3.487 + t^3.6 + t^4.349 + 2*t^4.462 + 5*t^4.575 + 4*t^4.687 + 4*t^4.8 + t^5.549 + 4*t^5.662 + 6*t^5.775 + 4*t^5.887 - t^6. - t^4.2/y - t^4.2*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 |
---|---|---|---|---|---|---|---|---|---|
666 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ | 0.6469 | 0.8101 | 0.7985 | [M:[0.8118, 1.2, 0.7882, 0.8, 0.7882], q:[0.8, 0.3882], qb:[0.8, 0.4118], phi:[0.4]] | 2*t^2.365 + 2*t^2.4 + t^2.435 + t^3.529 + t^3.565 + t^3.6 + t^3.671 + 3*t^4.729 + 4*t^4.765 + 6*t^4.8 + 2*t^4.835 + t^4.871 + 2*t^5.894 + 3*t^5.929 + 3*t^5.965 - t^4.2/y - t^4.2*y | detail |