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 |
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6458 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{3}M_{7}$ + ${ }M_{5}M_{8}$ + ${ }M_{1}M_{4}$ | 0.6073 | 0.7375 | 0.8234 | [X:[1.4167], M:[1.0833, 0.5833, 0.75, 0.9167, 1.0833, 1.0, 1.25, 0.9167], q:[0.625, 0.2917], qb:[0.625, 0.7917], phi:[0.4167]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 3731/6144, c: 4531/6144, X1: 17/12, M1: 13/12, M2: 7/12, M3: 3/4, M4: 11/12, M5: 13/12, M6: 1, M7: 5/4, M8: 11/12, q1: 5/8, q2: 7/24, qb1: 5/8, qb2: 19/24, phi1: 5/12} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{8}$, ${ }M_{6}$, ${ }M_{1}$, ${ }M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{8}$, ${ }M_{1}\phi_{1}^{2}$ | ${}M_{1}M_{8}$ | -2 | t^2.5 + 2*t^2.75 + t^3. + t^3.25 + t^3.75 + 2*t^4. + 2*t^4.25 + 2*t^5. + 2*t^5.25 + 4*t^5.5 + 2*t^5.75 - 2*t^6. + 2*t^6.5 + 4*t^6.75 + 4*t^7. - 2*t^7.25 + 2*t^7.5 + 4*t^7.75 + 6*t^8. + 8*t^8.25 - t^8.5 - 5*t^8.75 - t^4.25/y - t^6.75/y + t^7.75/y + (2*t^8.25)/y + (2*t^8.5)/y + (3*t^8.75)/y - t^4.25*y - t^6.75*y + t^7.75*y + 2*t^8.25*y + 2*t^8.5*y + 3*t^8.75*y | t^2.5 + 2*t^2.75 + t^3. + t^3.25 + t^3.75 + 2*t^4. + 2*t^4.25 + 2*t^5. + 2*t^5.25 + 4*t^5.5 + 2*t^5.75 - 2*t^6. + 2*t^6.5 + 4*t^6.75 + 4*t^7. - 2*t^7.25 + 2*t^7.5 + 4*t^7.75 + 6*t^8. + 8*t^8.25 - t^8.5 - 5*t^8.75 - t^4.25/y - t^6.75/y + t^7.75/y + (2*t^8.25)/y + (2*t^8.5)/y + (3*t^8.75)/y - t^4.25*y - t^6.75*y + t^7.75*y + 2*t^8.25*y + 2*t^8.5*y + 3*t^8.75*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
4844 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{3}M_{7}$ + ${ }M_{5}M_{8}$ | 0.6097 | 0.7407 | 0.8231 | [X:[1.4036], M:[1.0181, 0.5964, 0.7109, 0.9036, 1.0964, 1.0, 1.2891, 0.9036], q:[0.6837, 0.2982], qb:[0.6054, 0.7982], phi:[0.4036]] | t^2.422 + 2*t^2.711 + t^3. + t^3.054 + t^3.867 + t^3.922 + t^4.156 + t^4.211 + t^4.446 + t^4.844 + 2*t^5.133 + t^5.313 + 4*t^5.422 + t^5.476 + t^5.711 + t^5.765 - 2*t^6. - t^4.211/y - t^4.211*y | detail |