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 |
---|---|---|---|---|---|---|---|---|---|
46782 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ | 0.6304 | 0.7811 | 0.807 | [M:[0.7882, 0.8118, 1.2, 0.7882], q:[0.8, 0.4118], qb:[0.3882, 0.8], phi:[0.4]] | [M:[[1], [-1], [0], [1]], q:[[0], [-1]], qb:[[1], [0]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{4}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ | 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*g1*t^2.365 + t^2.4 + t^2.435/g1 + g1^2*t^3.529 + g1*t^3.565 + 2*t^3.6 + t^3.671/g1^2 + 3*g1^2*t^4.729 + 2*g1*t^4.765 + 4*t^4.8 + t^4.835/g1 + t^4.871/g1^2 + 2*g1^3*t^5.894 + 2*g1^2*t^5.929 + 4*g1*t^5.965 + (2*t^6.035)/g1 + t^6.106/g1^3 + g1^4*t^7.058 + 5*g1^3*t^7.094 + 4*g1^2*t^7.129 + 5*g1*t^7.165 + 3*t^7.2 + t^7.235/g1 + t^7.271/g1^2 + t^7.306/g1^3 + t^7.342/g1^4 + 3*g1^4*t^8.258 + 3*g1^3*t^8.294 + 6*g1^2*t^8.329 - 2*g1*t^8.365 + 3*t^8.4 - (4*t^8.435)/g1 + (2*t^8.471)/g1^2 + t^8.542/g1^4 - t^4.2/y - (2*g1*t^6.565)/y - t^6.635/(g1*y) + (g1^2*t^7.729)/y + (3*g1*t^7.765)/y + (2*t^7.8)/y + (3*t^7.835)/(g1*y) + (2*g1^3*t^8.894)/y + (6*g1*t^8.965)/y - t^4.2*y - 2*g1*t^6.565*y - (t^6.635*y)/g1 + g1^2*t^7.729*y + 3*g1*t^7.765*y + 2*t^7.8*y + (3*t^7.835*y)/g1 + 2*g1^3*t^8.894*y + 6*g1*t^8.965*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 |
---|---|---|---|---|---|---|---|---|
48275 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{5}\phi_{1}q_{2}^{2}$ | 0.649 | 0.8166 | 0.7948 | [M:[0.7728, 0.8272, 1.2, 0.7728, 0.7456], q:[0.8, 0.4272], qb:[0.3728, 0.8], 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 |
---|---|---|---|---|---|---|---|---|---|
46238 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ | 0.6675 | 0.8146 | 0.8195 | [M:[0.9667, 0.9917, 1.1204, 0.7676], q:[0.581, 0.4523], qb:[0.4273, 0.7801], phi:[0.4398]] | t^2.303 + t^2.639 + t^2.9 + t^2.975 + t^3.361 + t^3.622 + t^3.883 + t^3.958 + t^4.033 + t^4.083 + t^4.344 + t^4.419 + t^4.605 + t^4.805 + t^4.942 + t^5.203 + 2*t^5.278 + t^5.664 + t^5.8 + t^5.875 + t^5.95 - 2*t^6. - t^4.319/y - t^4.319*y | detail |