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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5955 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{8}q_{1}\tilde{q}_{1}$ + ${ }M_{6}^{2}$ + ${ }M_{4}X_{2}$ | 0.5977 | 0.7505 | 0.7964 | [X:[1.6667, 1.3333], M:[0.3333, 1.2222, 0.8333, 0.6667, 0.8333, 1.0, 0.7222, 0.8889], q:[0.8056, 0.8611], qb:[0.3056, 0.4722], phi:[0.3889]] | [X:[[0], [0]], M:[[0], [0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 6197/10368, c: 7781/10368, X1: 5/3, X2: 4/3, M1: 1/3, M2: 11/9, M3: 5/6, M4: 2/3, M5: 5/6, M6: 1, M7: 13/18, M8: 8/9, q1: 29/36, q2: 31/36, qb1: 11/36, qb2: 17/36, phi1: 7/18} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }M_{8}$, ${ }M_{6}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }X_{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{7}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{7}M_{8}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{6}M_{7}$, ${ }M_{3}M_{8}$, ${ }M_{5}M_{8}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{8}^{2}$, ${ }M_{6}\phi_{1}^{2}$ | ${}$ | -2 | t^2.167 + t^2.333 + 2*t^2.5 + t^2.667 + t^3. + t^3.667 + 2*t^4. + t^4.5 + 4*t^4.667 + 2*t^4.833 + 5*t^5. + 4*t^5.167 + 2*t^5.333 - 2*t^6. + 3*t^6.167 + 4*t^6.333 + 3*t^6.5 + t^6.667 + 2*t^6.833 + 2*t^7. + 4*t^7.167 + 5*t^7.333 + 8*t^7.5 + 8*t^7.667 + 3*t^7.833 + 3*t^8. - 4*t^8.167 - 3*t^8.333 - 6*t^8.5 + 4*t^8.667 + 4*t^8.833 - t^4.167/y - t^6.333/y - (2*t^6.667)/y - t^6.833/y + (2*t^7.5)/y + (4*t^7.667)/y + (3*t^7.833)/y + (3*t^8.)/y + (3*t^8.167)/y + t^8.333/y + t^8.5/y + t^8.667/y - t^8.833/y - t^4.167*y - t^6.333*y - 2*t^6.667*y - t^6.833*y + 2*t^7.5*y + 4*t^7.667*y + 3*t^7.833*y + 3*t^8.*y + 3*t^8.167*y + t^8.333*y + t^8.5*y + t^8.667*y - t^8.833*y | t^2.167 + t^2.333 + 2*t^2.5 + t^2.667 + t^3. + t^3.667 + 2*t^4. + t^4.5 + 4*t^4.667 + 2*t^4.833 + 5*t^5. + 4*t^5.167 + 2*t^5.333 - 2*t^6. + 3*t^6.167 + 4*t^6.333 + 3*t^6.5 + t^6.667 + 2*t^6.833 + 2*t^7. + 4*t^7.167 + 5*t^7.333 + 8*t^7.5 + 8*t^7.667 + 3*t^7.833 + 3*t^8. - 4*t^8.167 - 3*t^8.333 - 6*t^8.5 + 4*t^8.667 + 4*t^8.833 - t^4.167/y - t^6.333/y - (2*t^6.667)/y - t^6.833/y + (2*t^7.5)/y + (4*t^7.667)/y + (3*t^7.833)/y + (3*t^8.)/y + (3*t^8.167)/y + t^8.333/y + t^8.5/y + t^8.667/y - t^8.833/y - t^4.167*y - t^6.333*y - 2*t^6.667*y - t^6.833*y + 2*t^7.5*y + 4*t^7.667*y + 3*t^7.833*y + 3*t^8.*y + 3*t^8.167*y + t^8.333*y + t^8.5*y + t^8.667*y - t^8.833*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 |
---|---|---|---|---|---|---|---|---|---|
4447 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{8}q_{1}\tilde{q}_{1}$ | 0.6896 | 0.8852 | 0.7791 | [X:[1.5612], M:[0.4388, 1.1871, 0.7806, 0.8776, 0.7806, 0.6836, 0.8452, 0.7483], q:[0.7968, 0.7644], qb:[0.4549, 0.358], phi:[0.4065]] | t^2.051 + t^2.245 + 2*t^2.342 + t^2.439 + t^2.536 + t^2.633 + t^3.367 + t^3.561 + t^4.102 + t^4.296 + 2*t^4.393 + 2*t^4.49 + 4*t^4.587 + 6*t^4.684 + 2*t^4.781 + 5*t^4.878 + 3*t^4.975 + t^5.071 + t^5.168 + t^5.265 + t^5.418 + 2*t^5.612 + t^5.709 + 3*t^5.806 + 2*t^5.903 - 2*t^6. - t^4.219/y - t^4.219*y | detail |