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 |
---|---|---|---|---|---|---|---|---|---|
4611 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{3}^{2}$ | 0.6733 | 0.8317 | 0.8096 | [M:[1.0667, 0.8, 1.0, 0.8667, 1.1333, 0.7333, 1.2], q:[0.5333, 0.4], qb:[0.4667, 0.7333], phi:[0.4667]] | [M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 101/150, c: 499/600, M1: 16/15, M2: 4/5, M3: 1, M4: 13/15, M5: 17/15, M6: 11/15, M7: 6/5, q1: 8/15, q2: 2/5, qb1: 7/15, qb2: 11/15, phi1: 7/15} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{7}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{4}$, ${ }M_{6}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$ | ${}$ | 0 | t^2.2 + t^2.6 + t^2.8 + t^3. + t^3.2 + t^3.4 + t^3.6 + t^3.8 + t^4. + 2*t^4.2 + 2*t^4.4 + t^4.6 + 2*t^4.8 + t^5. + 2*t^5.2 + t^5.4 + 2*t^5.6 + 2*t^5.8 + 2*t^6.2 + 3*t^6.4 + 4*t^6.6 + 4*t^6.8 + 4*t^7. + 4*t^7.2 + 3*t^7.4 + 4*t^7.6 + 4*t^7.8 + 4*t^8. + 2*t^8.2 + 4*t^8.4 + 4*t^8.6 + 3*t^8.8 - t^4.4/y - t^6.6/y + t^7.8/y + t^8./y + (2*t^8.2)/y + (2*t^8.4)/y + (2*t^8.6)/y + (2*t^8.8)/y - t^4.4*y - t^6.6*y + t^7.8*y + t^8.*y + 2*t^8.2*y + 2*t^8.4*y + 2*t^8.6*y + 2*t^8.8*y | t^2.2 + t^2.6 + t^2.8 + t^3. + t^3.2 + t^3.4 + t^3.6 + t^3.8 + t^4. + 2*t^4.2 + 2*t^4.4 + t^4.6 + 2*t^4.8 + t^5. + 2*t^5.2 + t^5.4 + 2*t^5.6 + 2*t^5.8 + 2*t^6.2 + 3*t^6.4 + 4*t^6.6 + 4*t^6.8 + 4*t^7. + 4*t^7.2 + 3*t^7.4 + 4*t^7.6 + 4*t^7.8 + 4*t^8. + 2*t^8.2 + 4*t^8.4 + 4*t^8.6 + 3*t^8.8 - t^4.4/y - t^6.6/y + t^7.8/y + t^8./y + (2*t^8.2)/y + (2*t^8.4)/y + (2*t^8.6)/y + (2*t^8.8)/y - t^4.4*y - t^6.6*y + t^7.8*y + t^8.*y + 2*t^8.2*y + 2*t^8.4*y + 2*t^8.6*y + 2*t^8.8*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 |
---|---|---|---|---|---|---|---|---|
6158 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{8}$ | 0.6795 | 0.842 | 0.807 | [M:[1.0667, 0.8, 1.0, 0.8667, 1.1333, 0.7333, 1.2, 0.9333], q:[0.5333, 0.4], qb:[0.4667, 0.7333], phi:[0.4667]] | t^2.2 + t^2.6 + 2*t^2.8 + t^3. + t^3.4 + t^3.6 + t^3.8 + t^4. + 2*t^4.2 + 2*t^4.4 + t^4.6 + 2*t^4.8 + 2*t^5. + 2*t^5.2 + t^5.4 + 4*t^5.6 + 2*t^5.8 - t^6. - t^4.4/y - t^4.4*y | detail | {a: 1359/2000, c: 421/500, M1: 16/15, M2: 4/5, M3: 1, M4: 13/15, M5: 17/15, M6: 11/15, M7: 6/5, M8: 14/15, q1: 8/15, q2: 2/5, qb1: 7/15, qb2: 11/15, phi1: 7/15} |
6159 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{3}^{2}$ + ${ }M_{5}M_{8}$ | 0.6852 | 0.8518 | 0.8043 | [M:[1.0667, 0.8, 1.0, 0.8667, 1.1333, 0.7333, 1.2, 0.8667], q:[0.5333, 0.4], qb:[0.4667, 0.7333], phi:[0.4667]] | t^2.2 + 2*t^2.6 + t^2.8 + t^3. + t^3.2 + t^3.6 + t^3.8 + t^4. + 2*t^4.2 + 2*t^4.4 + t^4.6 + 3*t^4.8 + t^5. + 4*t^5.2 + 2*t^5.4 + 2*t^5.6 + 3*t^5.8 - t^6. - t^4.4/y - t^4.4*y | detail | {a: 4111/6000, c: 5111/6000, M1: 16/15, M2: 4/5, M3: 1, M4: 13/15, M5: 17/15, M6: 11/15, M7: 6/5, M8: 13/15, q1: 8/15, q2: 2/5, qb1: 7/15, qb2: 11/15, phi1: 7/15} |
6156 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{3}^{2}$ + ${ }M_{6}M_{8}$ | 0.6537 | 0.7953 | 0.8219 | [M:[1.0667, 0.8, 1.0, 0.8667, 1.1333, 0.7333, 1.2, 1.2667], q:[0.5333, 0.4], qb:[0.4667, 0.7333], phi:[0.4667]] | t^2.6 + t^2.8 + t^3. + t^3.2 + t^3.4 + t^3.6 + 2*t^3.8 + t^4. + 2*t^4.2 + t^4.4 + t^4.6 + t^4.8 + t^5.2 + t^5.6 + t^5.8 - t^6. - t^4.4/y - t^4.4*y | detail | {a: 1961/3000, c: 1193/1500, M1: 16/15, M2: 4/5, M3: 1, M4: 13/15, M5: 17/15, M6: 11/15, M7: 6/5, M8: 19/15, q1: 8/15, q2: 2/5, qb1: 7/15, qb2: 11/15, phi1: 7/15} |
6157 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{3}^{2}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.6672 | 0.8213 | 0.8123 | [M:[1.0667, 0.8, 1.0, 0.8667, 1.1333, 0.7333, 1.2, 1.0667], q:[0.5333, 0.4], qb:[0.4667, 0.7333], phi:[0.4667]] | t^2.2 + t^2.6 + t^3. + 2*t^3.2 + t^3.4 + t^3.6 + t^3.8 + t^4. + 2*t^4.2 + 2*t^4.4 + t^4.6 + 2*t^4.8 + 2*t^5.2 + t^5.4 + t^5.6 + 2*t^5.8 - t^6. - t^4.4/y - t^4.4*y | detail | {a: 4003/6000, c: 308/375, M1: 16/15, M2: 4/5, M3: 1, M4: 13/15, M5: 17/15, M6: 11/15, M7: 6/5, M8: 16/15, q1: 8/15, q2: 2/5, qb1: 7/15, qb2: 11/15, phi1: 7/15} |
6160 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{3}^{2}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ | 0.693 | 0.868 | 0.7984 | [M:[1.0667, 0.8, 1.0, 0.8667, 1.1333, 0.7333, 1.2, 0.7333], q:[0.5333, 0.4], qb:[0.4667, 0.7333], phi:[0.4667]] | 2*t^2.2 + t^2.6 + t^2.8 + t^3. + t^3.2 + t^3.4 + t^3.6 + t^4. + 2*t^4.2 + 4*t^4.4 + t^4.6 + 3*t^4.8 + 2*t^5. + 3*t^5.2 + 2*t^5.4 + 3*t^5.6 + 3*t^5.8 - t^6. - t^4.4/y - t^4.4*y | detail | {a: 693/1000, c: 217/250, M1: 16/15, M2: 4/5, M3: 1, M4: 13/15, M5: 17/15, M6: 11/15, M7: 6/5, M8: 11/15, q1: 8/15, q2: 2/5, qb1: 7/15, qb2: 11/15, phi1: 7/15} |
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 |
---|---|---|---|---|---|---|---|---|---|
2553 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ | 0.6922 | 0.8511 | 0.8133 | [M:[1.0852, 0.7445, 0.8612, 0.9685, 1.0315, 0.7981, 1.2555], q:[0.5426, 0.3722], qb:[0.5962, 0.6593], phi:[0.4574]] | t^2.394 + t^2.584 + t^2.744 + t^2.905 + t^3.095 + t^3.256 + t^3.606 + t^3.767 + t^4.117 + t^4.278 + t^4.467 + t^4.628 + 2*t^4.789 + t^4.95 + 2*t^4.978 + t^5.139 + t^5.167 + t^5.3 + t^5.328 + 2*t^5.489 + t^5.65 + t^5.678 + t^5.839 - t^6. - t^4.372/y - t^4.372*y | detail |