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 |
---|---|---|---|---|---|---|---|---|---|
1068 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{4}M_{6}$ | 0.6304 | 0.7811 | 0.807 | [M:[0.8118, 1.2, 0.7882, 0.8, 0.7882, 1.2], q:[0.8, 0.3882], qb:[0.8, 0.4118], phi:[0.4]] | [M:[[1], [0], [-1], [0], [-1], [0]], q:[[0], [-1]], qb:[[0], [1]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}q_{2}$, ${ }M_{2}$, ${ }M_{6}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{4}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{3}q_{1}q_{2}$, ${ }M_{5}q_{1}q_{2}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{6}$ | ${}M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$ | 0 | 2*t^2.365 + t^2.4 + t^2.435 + t^3.529 + t^3.565 + 2*t^3.6 + t^3.671 + 3*t^4.729 + 2*t^4.765 + 4*t^4.8 + t^4.835 + t^4.871 + 2*t^5.894 + 2*t^5.929 + 4*t^5.965 + 2*t^6.035 + t^6.106 + t^7.058 + 5*t^7.094 + 4*t^7.129 + 5*t^7.165 + 3*t^7.2 + t^7.235 + t^7.271 + t^7.306 + t^7.342 + 3*t^8.258 + 3*t^8.294 + 6*t^8.329 - 2*t^8.365 + 3*t^8.4 - 4*t^8.435 + 2*t^8.471 + t^8.542 - t^4.2/y - (2*t^6.565)/y - t^6.635/y + t^7.729/y + (3*t^7.765)/y + (2*t^7.8)/y + (3*t^7.835)/y + (2*t^8.894)/y + (6*t^8.965)/y - t^4.2*y - 2*t^6.565*y - t^6.635*y + t^7.729*y + 3*t^7.765*y + 2*t^7.8*y + 3*t^7.835*y + 2*t^8.894*y + 6*t^8.965*y | (2*t^2.365)/g1 + t^2.4 + g1*t^2.435 + t^3.529/g1^2 + t^3.565/g1 + 2*t^3.6 + g1^2*t^3.671 + (3*t^4.729)/g1^2 + (2*t^4.765)/g1 + 4*t^4.8 + g1*t^4.835 + g1^2*t^4.871 + (2*t^5.894)/g1^3 + (2*t^5.929)/g1^2 + (4*t^5.965)/g1 + 2*g1*t^6.035 + g1^3*t^6.106 + t^7.058/g1^4 + (5*t^7.094)/g1^3 + (4*t^7.129)/g1^2 + (5*t^7.165)/g1 + 3*t^7.2 + g1*t^7.235 + g1^2*t^7.271 + g1^3*t^7.306 + g1^4*t^7.342 + (3*t^8.258)/g1^4 + (3*t^8.294)/g1^3 + (6*t^8.329)/g1^2 - (2*t^8.365)/g1 + 3*t^8.4 - 4*g1*t^8.435 + 2*g1^2*t^8.471 + g1^4*t^8.542 - t^4.2/y - (2*t^6.565)/(g1*y) - (g1*t^6.635)/y + t^7.729/(g1^2*y) + (3*t^7.765)/(g1*y) + (2*t^7.8)/y + (3*g1*t^7.835)/y + (2*t^8.894)/(g1^3*y) + (6*t^8.965)/(g1*y) - t^4.2*y - (2*t^6.565*y)/g1 - g1*t^6.635*y + (t^7.729*y)/g1^2 + (3*t^7.765*y)/g1 + 2*t^7.8*y + 3*g1*t^7.835*y + (2*t^8.894*y)/g1^3 + (6*t^8.965*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 |
---|---|---|---|---|---|---|---|---|
1661 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{7}$ | 0.615 | 0.7557 | 0.8139 | [M:[0.8252, 1.2, 0.7748, 0.8, 0.7748, 1.2, 1.1748], q:[0.8, 0.3748], qb:[0.8, 0.4252], phi:[0.4]] | 2*t^2.324 + t^2.4 + t^3.449 + 2*t^3.524 + 2*t^3.6 + t^3.751 + 3*t^4.649 + 2*t^4.724 + 2*t^4.8 + 2*t^5.773 + 4*t^5.849 + 4*t^5.924 - t^6. - t^4.2/y - t^4.2*y | detail | |
1662 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{4}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6468 | 0.8099 | 0.7986 | [M:[0.7907, 1.2, 0.8093, 0.8, 0.8093, 1.2, 0.7814], q:[0.8, 0.4093], qb:[0.8, 0.3907], phi:[0.4]] | t^2.344 + t^2.372 + t^2.4 + 2*t^2.428 + t^3.544 + 2*t^3.6 + t^3.628 + t^4.689 + t^4.717 + 2*t^4.744 + 3*t^4.772 + 4*t^4.8 + 2*t^4.828 + 3*t^4.856 + t^5.889 + t^5.917 + 2*t^5.944 + 3*t^5.972 - t^4.2/y - t^4.2*y | detail | |
2126 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{4}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ | 0.649 | 0.8166 | 0.7948 | [M:[0.8272, 1.2, 0.7728, 0.8, 0.7728, 1.2, 0.7456], q:[0.8, 0.3728], qb:[0.8, 0.4272], phi:[0.4]] | t^2.237 + 2*t^2.318 + t^2.4 + t^2.482 + t^3.437 + t^3.518 + 2*t^3.6 + t^4.474 + 2*t^4.555 + 4*t^4.637 + 3*t^4.718 + 4*t^4.8 + t^4.882 + t^4.963 + t^5.674 + 3*t^5.755 + 4*t^5.837 + 4*t^5.918 - 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 |