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 |
---|---|---|---|---|---|---|---|---|---|
4583 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6625 | 0.8364 | 0.792 | [M:[1.0811, 0.8649, 1.1351, 0.8108, 1.1892, 0.8108, 0.7568], q:[0.4865, 0.4324], qb:[0.3784, 0.7568], phi:[0.4865]] | [M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 536883/810448, c: 338945/405224, M1: 40/37, M2: 32/37, M3: 42/37, M4: 30/37, M5: 44/37, M6: 30/37, M7: 28/37, q1: 18/37, q2: 16/37, qb1: 14/37, qb2: 28/37, phi1: 18/37} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{7}$, ${ }M_{4}$, ${ }M_{6}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{7}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{4}$ | ${}$ | -1 | t^2.27 + 2*t^2.432 + t^2.595 + t^2.919 + t^3.243 + t^3.405 + t^3.73 + t^3.892 + 2*t^4.054 + t^4.216 + t^4.378 + t^4.541 + 2*t^4.703 + 4*t^4.865 + 2*t^5.027 + 2*t^5.189 + 2*t^5.351 + 2*t^5.514 + 2*t^5.676 + 2*t^5.838 - t^6. + t^6.162 + 4*t^6.324 + 5*t^6.486 + 5*t^6.649 + 3*t^6.811 + 4*t^6.973 + 3*t^7.135 + 6*t^7.297 + 4*t^7.459 + 3*t^7.622 + 6*t^7.784 + 4*t^7.946 + 6*t^8.108 + 2*t^8.27 - t^8.432 + t^8.595 + 6*t^8.757 + 7*t^8.919 - t^4.459/y - t^6.73/y - t^6.892/y + t^7.216/y - t^7.378/y + t^7.541/y + t^7.703/y + (2*t^7.865)/y + (3*t^8.027)/y + (2*t^8.189)/y + (2*t^8.351)/y + (2*t^8.514)/y + (3*t^8.676)/y + (3*t^8.838)/y - t^4.459*y - t^6.73*y - t^6.892*y + t^7.216*y - t^7.378*y + t^7.541*y + t^7.703*y + 2*t^7.865*y + 3*t^8.027*y + 2*t^8.189*y + 2*t^8.351*y + 2*t^8.514*y + 3*t^8.676*y + 3*t^8.838*y | t^2.27 + 2*t^2.432 + t^2.595 + t^2.919 + t^3.243 + t^3.405 + t^3.73 + t^3.892 + 2*t^4.054 + t^4.216 + t^4.378 + t^4.541 + 2*t^4.703 + 4*t^4.865 + 2*t^5.027 + 2*t^5.189 + 2*t^5.351 + 2*t^5.514 + 2*t^5.676 + 2*t^5.838 - t^6. + t^6.162 + 4*t^6.324 + 5*t^6.486 + 5*t^6.649 + 3*t^6.811 + 4*t^6.973 + 3*t^7.135 + 6*t^7.297 + 4*t^7.459 + 3*t^7.622 + 6*t^7.784 + 4*t^7.946 + 6*t^8.108 + 2*t^8.27 - t^8.432 + t^8.595 + 6*t^8.757 + 7*t^8.919 - t^4.459/y - t^6.73/y - t^6.892/y + t^7.216/y - t^7.378/y + t^7.541/y + t^7.703/y + (2*t^7.865)/y + (3*t^8.027)/y + (2*t^8.189)/y + (2*t^8.351)/y + (2*t^8.514)/y + (3*t^8.676)/y + (3*t^8.838)/y - t^4.459*y - t^6.73*y - t^6.892*y + t^7.216*y - t^7.378*y + t^7.541*y + t^7.703*y + 2*t^7.865*y + 3*t^8.027*y + 2*t^8.189*y + 2*t^8.351*y + 2*t^8.514*y + 3*t^8.676*y + 3*t^8.838*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 |
---|---|---|---|---|---|---|---|---|
6096 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{8}$ | 0.6505 | 0.816 | 0.7971 | [M:[1.0811, 0.8649, 1.1351, 0.8108, 1.1892, 0.8108, 0.7568, 1.1351], q:[0.4865, 0.4324], qb:[0.3784, 0.7568], phi:[0.4865]] | t^2.27 + 2*t^2.432 + t^2.919 + t^3.243 + 2*t^3.405 + t^3.73 + t^3.892 + 2*t^4.054 + t^4.216 + t^4.378 + t^4.541 + 2*t^4.703 + 3*t^4.865 + t^5.189 + 2*t^5.351 + t^5.514 + 3*t^5.676 + 3*t^5.838 - 2*t^6. - t^4.459/y - t^4.459*y | detail | {a: 263589/405224, c: 165335/202612, M1: 40/37, M2: 32/37, M3: 42/37, M4: 30/37, M5: 44/37, M6: 30/37, M7: 28/37, M8: 42/37, q1: 18/37, q2: 16/37, qb1: 14/37, qb2: 28/37, phi1: 18/37} |
6098 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{8}$ | 0.6744 | 0.8569 | 0.7871 | [M:[1.0811, 0.8649, 1.1351, 0.8108, 1.1892, 0.8108, 0.7568, 0.8649], q:[0.4865, 0.4324], qb:[0.3784, 0.7568], phi:[0.4865]] | t^2.27 + 2*t^2.432 + 2*t^2.595 + t^2.919 + t^3.243 + t^3.73 + t^3.892 + 2*t^4.054 + t^4.216 + t^4.378 + t^4.541 + 2*t^4.703 + 5*t^4.865 + 4*t^5.027 + 4*t^5.189 + 2*t^5.351 + 3*t^5.514 + t^5.676 + t^5.838 - 2*t^6. - t^4.459/y - t^4.459*y | detail | {a: 136647/202612, c: 86805/101306, M1: 40/37, M2: 32/37, M3: 42/37, M4: 30/37, M5: 44/37, M6: 30/37, M7: 28/37, M8: 32/37, q1: 18/37, q2: 16/37, qb1: 14/37, qb2: 28/37, phi1: 18/37} |
6095 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}M_{8}$ | 0.6437 | 0.8025 | 0.8021 | [M:[1.0811, 0.8649, 1.1351, 0.8108, 1.1892, 0.8108, 0.7568, 1.2432], q:[0.4865, 0.4324], qb:[0.3784, 0.7568], phi:[0.4865]] | 2*t^2.432 + t^2.595 + t^2.919 + t^3.243 + t^3.405 + 2*t^3.73 + t^3.892 + 2*t^4.054 + t^4.216 + t^4.378 + 3*t^4.865 + 2*t^5.027 + t^5.189 + 2*t^5.351 + t^5.514 + t^5.676 + 2*t^5.838 - 2*t^6. - t^4.459/y - t^4.459*y | detail | {a: 260841/405224, c: 40648/50653, M1: 40/37, M2: 32/37, M3: 42/37, M4: 30/37, M5: 44/37, M6: 30/37, M7: 28/37, M8: 46/37, q1: 18/37, q2: 16/37, qb1: 14/37, qb2: 28/37, phi1: 18/37} |
6100 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6829 | 0.8755 | 0.78 | [M:[1.0811, 0.8649, 1.1351, 0.8108, 1.1892, 0.8108, 0.7568, 0.7027], q:[0.4865, 0.4324], qb:[0.3784, 0.7568], phi:[0.4865]] | t^2.108 + t^2.27 + 2*t^2.432 + t^2.595 + t^2.919 + t^3.243 + t^3.405 + t^3.73 + 2*t^4.054 + 2*t^4.216 + 2*t^4.378 + 3*t^4.541 + 3*t^4.703 + 4*t^4.865 + 3*t^5.027 + 2*t^5.189 + 3*t^5.351 + 3*t^5.514 + 2*t^5.676 + 3*t^5.838 - t^6. - t^4.459/y - t^4.459*y | detail | {a: 276741/405224, c: 177387/202612, M1: 40/37, M2: 32/37, M3: 42/37, M4: 30/37, M5: 44/37, M6: 30/37, M7: 28/37, M8: 26/37, q1: 18/37, q2: 16/37, qb1: 14/37, qb2: 28/37, phi1: 18/37} |
6099 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6812 | 0.8704 | 0.7826 | [M:[1.0811, 0.8649, 1.1351, 0.8108, 1.1892, 0.8108, 0.7568, 0.7568], q:[0.4865, 0.4324], qb:[0.3784, 0.7568], phi:[0.4865]] | 2*t^2.27 + 2*t^2.432 + t^2.595 + t^2.919 + t^3.243 + t^3.405 + t^3.892 + 2*t^4.054 + t^4.216 + t^4.378 + 3*t^4.541 + 4*t^4.703 + 5*t^4.865 + 2*t^5.027 + 3*t^5.189 + 2*t^5.351 + 3*t^5.514 + 3*t^5.676 + 2*t^5.838 - 2*t^6. - t^4.459/y - t^4.459*y | detail | {a: 138021/202612, c: 176353/202612, M1: 40/37, M2: 32/37, M3: 42/37, M4: 30/37, M5: 44/37, M6: 30/37, M7: 28/37, M8: 28/37, q1: 18/37, q2: 16/37, qb1: 14/37, qb2: 28/37, phi1: 18/37} |
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 |
---|---|---|---|---|---|---|---|---|---|
2519 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6678 | 0.848 | 0.7875 | [M:[1.0081, 0.8918, 1.1082, 0.7916, 1.2084, 0.7916, 0.6914], q:[0.546, 0.4459], qb:[0.3457, 0.7625], phi:[0.475]] | t^2.074 + 2*t^2.375 + t^2.675 + t^2.85 + t^3.024 + t^3.325 + t^3.499 + t^3.8 + 2*t^4.1 + t^4.149 + t^4.401 + 2*t^4.449 + t^4.701 + 4*t^4.75 + t^4.924 + 2*t^5.05 + t^5.098 + 2*t^5.225 + t^5.351 + 2*t^5.399 + t^5.525 + t^5.573 + 2*t^5.699 + 4*t^5.874 - 2*t^6. - t^4.425/y - t^4.425*y | detail |