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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4775 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{7}^{2}$ | 0.684 | 0.8541 | 0.8008 | [M:[1.0, 0.7778, 0.9444, 0.8333, 1.1667, 0.7778, 1.0], q:[0.6111, 0.3889], qb:[0.4444, 0.7778], phi:[0.4444]] | [M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 14183/20736, c: 17711/20736, M1: 1, M2: 7/9, M3: 17/18, M4: 5/6, M5: 7/6, M6: 7/9, M7: 1, q1: 11/18, q2: 7/18, qb1: 4/9, qb2: 7/9, phi1: 4/9} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{6}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{7}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{2}M_{7}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{4}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{3}M_{7}$ | ${}$ | -1 | 2*t^2.333 + t^2.5 + t^2.667 + t^2.833 + t^3. + t^3.5 + t^3.833 + t^4. + t^4.167 + t^4.333 + t^4.5 + 3*t^4.667 + 2*t^4.833 + 4*t^5. + 3*t^5.167 + 3*t^5.333 + t^5.5 + 2*t^5.667 + 2*t^5.833 - t^6. + t^6.167 + 3*t^6.333 + 3*t^6.5 + 2*t^6.667 + 3*t^6.833 + 6*t^7. + 3*t^7.167 + 6*t^7.333 + 6*t^7.5 + 7*t^7.667 + 3*t^7.833 + 6*t^8. + 3*t^8.167 - t^8.333 + 2*t^8.5 + 2*t^8.667 + 2*t^8.833 - t^4.333/y - (2*t^6.667)/y - t^7./y - t^7.167/y + t^7.5/y + (2*t^7.667)/y + (2*t^7.833)/y + (4*t^8.)/y + (3*t^8.167)/y + (3*t^8.333)/y + (2*t^8.5)/y + t^8.667/y + (3*t^8.833)/y - t^4.333*y - 2*t^6.667*y - t^7.*y - t^7.167*y + t^7.5*y + 2*t^7.667*y + 2*t^7.833*y + 4*t^8.*y + 3*t^8.167*y + 3*t^8.333*y + 2*t^8.5*y + t^8.667*y + 3*t^8.833*y | 2*t^2.333 + t^2.5 + t^2.667 + t^2.833 + t^3. + t^3.5 + t^3.833 + t^4. + t^4.167 + t^4.333 + t^4.5 + 3*t^4.667 + 2*t^4.833 + 4*t^5. + 3*t^5.167 + 3*t^5.333 + t^5.5 + 2*t^5.667 + 2*t^5.833 - t^6. + t^6.167 + 3*t^6.333 + 3*t^6.5 + 2*t^6.667 + 3*t^6.833 + 6*t^7. + 3*t^7.167 + 6*t^7.333 + 6*t^7.5 + 7*t^7.667 + 3*t^7.833 + 6*t^8. + 3*t^8.167 - t^8.333 + 2*t^8.5 + 2*t^8.667 + 2*t^8.833 - t^4.333/y - (2*t^6.667)/y - t^7./y - t^7.167/y + t^7.5/y + (2*t^7.667)/y + (2*t^7.833)/y + (4*t^8.)/y + (3*t^8.167)/y + (3*t^8.333)/y + (2*t^8.5)/y + t^8.667/y + (3*t^8.833)/y - t^4.333*y - 2*t^6.667*y - t^7.*y - t^7.167*y + t^7.5*y + 2*t^7.667*y + 2*t^7.833*y + 4*t^8.*y + 3*t^8.167*y + 3*t^8.333*y + 2*t^8.5*y + t^8.667*y + 3*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 |
---|---|---|---|---|---|---|---|---|---|
2643 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ | 0.6849 | 0.8564 | 0.7998 | [M:[1.0356, 0.7738, 0.9702, 0.8393, 1.1607, 0.7738, 0.9644], q:[0.5774, 0.3869], qb:[0.4524, 0.7738], phi:[0.4524]] | 2*t^2.321 + t^2.518 + t^2.714 + t^2.893 + t^2.911 + t^3.482 + t^3.875 + t^4.054 + t^4.071 + t^4.25 + t^4.447 + 3*t^4.643 + t^4.822 + 2*t^4.839 + 3*t^5.036 + 2*t^5.215 + 3*t^5.232 + t^5.411 + t^5.428 + t^5.607 + t^5.786 + 2*t^5.804 + t^5.821 - 2*t^6. - t^4.357/y - t^4.357*y | detail |