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 |
---|---|---|---|---|---|---|---|---|---|
1315 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.7287 | 0.8998 | 0.8098 | [M:[1.0, 1.0955, 0.809, 1.0, 0.809, 1.0, 0.809], q:[0.5, 0.5], qb:[0.5, 0.691], phi:[0.4523]] | [M:[[1, 0], [0, 2], [-1, -4], [-1, 0], [1, -4], [0, 0], [0, -4]], q:[[0, 0], [-1, 0]], qb:[[1, 0], [0, 4]], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{7}$, ${ }M_{3}$, ${ }M_{5}$, ${ }M_{1}$, ${ }M_{4}$, ${ }M_{6}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{7}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{5}$, ${ }M_{6}M_{7}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{5}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{5}$ | ${}M_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}M_{6}$ | -4 | 3*t^2.427 + 3*t^3. + t^3.286 + 6*t^4.357 + 6*t^4.854 + 3*t^4.93 + 6*t^5.427 + t^5.503 + 3*t^5.714 - 4*t^6. + 3*t^6.286 - 3*t^6.573 + 15*t^6.784 + 10*t^7.281 + 15*t^7.357 + 10*t^7.854 + 6*t^8.141 - 17*t^8.427 + 21*t^8.714 - t^4.357/y - (3*t^6.784)/y + (3*t^7.854)/y + (3*t^7.93)/y + (9*t^8.427)/y + (3*t^8.714)/y - t^4.357*y - 3*t^6.784*y + 3*t^7.854*y + 3*t^7.93*y + 9*t^8.427*y + 3*t^8.714*y | t^2.427/g2^4 + t^2.427/(g1*g2^4) + (g1*t^2.427)/g2^4 + t^3. + t^3./g1 + g1*t^3. + g2^2*t^3.286 + (2*t^4.357)/g2 + t^4.357/(g1^2*g2) + t^4.357/(g1*g2) + (g1*t^4.357)/g2 + (g1^2*t^4.357)/g2 + (2*t^4.854)/g2^8 + t^4.854/(g1^2*g2^8) + t^4.854/(g1*g2^8) + (g1*t^4.854)/g2^8 + (g1^2*t^4.854)/g2^8 + g2^3*t^4.93 + (g2^3*t^4.93)/g1 + g1*g2^3*t^4.93 + (2*t^5.427)/g2^4 + t^5.427/(g1^2*g2^4) + t^5.427/(g1*g2^4) + (g1*t^5.427)/g2^4 + (g1^2*t^5.427)/g2^4 + g2^7*t^5.503 + t^5.714/g2^2 + t^5.714/(g1*g2^2) + (g1*t^5.714)/g2^2 - 2*t^6. - t^6./g1 - g1*t^6. + g2^2*t^6.286 + (g2^2*t^6.286)/g1 + g1*g2^2*t^6.286 - g2^4*t^6.573 - (g2^4*t^6.573)/g1 - g1*g2^4*t^6.573 + (3*t^6.784)/g2^5 + t^6.784/(g1^3*g2^5) + (2*t^6.784)/(g1^2*g2^5) + (3*t^6.784)/(g1*g2^5) + (3*g1*t^6.784)/g2^5 + (2*g1^2*t^6.784)/g2^5 + (g1^3*t^6.784)/g2^5 + (2*t^7.281)/g2^12 + t^7.281/(g1^3*g2^12) + t^7.281/(g1^2*g2^12) + (2*t^7.281)/(g1*g2^12) + (2*g1*t^7.281)/g2^12 + (g1^2*t^7.281)/g2^12 + (g1^3*t^7.281)/g2^12 + (3*t^7.357)/g2 + t^7.357/(g1^3*g2) + (2*t^7.357)/(g1^2*g2) + (3*t^7.357)/(g1*g2) + (3*g1*t^7.357)/g2 + (2*g1^2*t^7.357)/g2 + (g1^3*t^7.357)/g2 + (2*t^7.854)/g2^8 + t^7.854/(g1^3*g2^8) + t^7.854/(g1^2*g2^8) + (2*t^7.854)/(g1*g2^8) + (2*g1*t^7.854)/g2^8 + (g1^2*t^7.854)/g2^8 + (g1^3*t^7.854)/g2^8 + (2*t^8.141)/g2^6 + t^8.141/(g1^2*g2^6) + t^8.141/(g1*g2^6) + (g1*t^8.141)/g2^6 + (g1^2*t^8.141)/g2^6 - (5*t^8.427)/g2^4 - (2*t^8.427)/(g1^2*g2^4) - (4*t^8.427)/(g1*g2^4) - (4*g1*t^8.427)/g2^4 - (2*g1^2*t^8.427)/g2^4 + (5*t^8.714)/g2^2 + t^8.714/(g1^4*g2^2) + t^8.714/(g1^3*g2^2) + (3*t^8.714)/(g1^2*g2^2) + (3*t^8.714)/(g1*g2^2) + (3*g1*t^8.714)/g2^2 + (3*g1^2*t^8.714)/g2^2 + (g1^3*t^8.714)/g2^2 + (g1^4*t^8.714)/g2^2 - t^4.357/(g2*y) - t^6.784/(g2^5*y) - t^6.784/(g1*g2^5*y) - (g1*t^6.784)/(g2^5*y) + t^7.854/(g2^8*y) + t^7.854/(g1*g2^8*y) + (g1*t^7.854)/(g2^8*y) + (g2^3*t^7.93)/y + (g2^3*t^7.93)/(g1*y) + (g1*g2^3*t^7.93)/y + (3*t^8.427)/(g2^4*y) + t^8.427/(g1^2*g2^4*y) + (2*t^8.427)/(g1*g2^4*y) + (2*g1*t^8.427)/(g2^4*y) + (g1^2*t^8.427)/(g2^4*y) + t^8.714/(g2^2*y) + t^8.714/(g1*g2^2*y) + (g1*t^8.714)/(g2^2*y) - (t^4.357*y)/g2 - (t^6.784*y)/g2^5 - (t^6.784*y)/(g1*g2^5) - (g1*t^6.784*y)/g2^5 + (t^7.854*y)/g2^8 + (t^7.854*y)/(g1*g2^8) + (g1*t^7.854*y)/g2^8 + g2^3*t^7.93*y + (g2^3*t^7.93*y)/g1 + g1*g2^3*t^7.93*y + (3*t^8.427*y)/g2^4 + (t^8.427*y)/(g1^2*g2^4) + (2*t^8.427*y)/(g1*g2^4) + (2*g1*t^8.427*y)/g2^4 + (g1^2*t^8.427*y)/g2^4 + (t^8.714*y)/g2^2 + (t^8.714*y)/(g1*g2^2) + (g1*t^8.714*y)/g2^2 |
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 |
---|---|---|---|---|---|---|---|---|
2343 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{8}$ | 0.7298 | 0.9024 | 0.8087 | [M:[1.0232, 1.0953, 0.7862, 0.9768, 0.8327, 1.0, 0.8094, 0.9768], q:[0.5, 0.4768], qb:[0.5232, 0.6906], phi:[0.4524]] | t^2.359 + t^2.428 + t^2.498 + 2*t^2.93 + t^3. + t^3.286 + t^4.218 + t^4.287 + 2*t^4.357 + t^4.427 + t^4.496 + t^4.717 + t^4.787 + 2*t^4.857 + t^4.859 + t^4.926 + t^4.929 + t^4.996 + t^4.998 + 2*t^5.289 + 2*t^5.359 + 2*t^5.428 + t^5.5 + t^5.645 + t^5.714 + t^5.784 + 2*t^5.861 - 3*t^6. - t^4.357/y - t^4.357*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 |
---|---|---|---|---|---|---|---|---|---|
831 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{1}M_{4}$ | 0.7138 | 0.8725 | 0.8181 | [M:[1.0, 1.0782, 0.8436, 1.0, 0.8436, 1.0], q:[0.5, 0.5], qb:[0.5, 0.6564], phi:[0.4609]] | 2*t^2.531 + 3*t^3. + t^3.235 + t^3.469 + 6*t^4.383 + 3*t^4.852 + 3*t^5.061 + t^5.321 + 3*t^5.531 + 2*t^5.765 - 2*t^6. - t^4.383/y - t^4.383*y | detail |