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 |
---|---|---|---|---|---|---|---|---|---|
52327 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{6}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6433 | 0.803 | 0.801 | [M:[0.8774, 1.1981, 1.1226, 0.7264, 0.8019, 1.1226], q:[0.3632, 0.7594], qb:[0.4387, 0.5142], phi:[0.4811]] | [M:[[14], [10], [-14], [-34], [-10], [-14]], q:[[-17], [3]], qb:[[7], [31]], phi:[[-6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{5}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{6}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{4}\phi_{1}q_{1}^{2}$ | ${}$ | -2 | t^2.179 + t^2.406 + t^2.859 + t^2.887 + 2*t^3.368 + t^3.594 + t^3.622 + t^3.849 + 2*t^4.076 + t^4.302 + t^4.358 + t^4.529 + t^4.585 + t^4.811 + t^5.038 + t^5.066 + t^5.264 + t^5.292 + t^5.547 + t^5.717 + t^5.745 + 2*t^5.773 + t^5.802 - 2*t^6. + 2*t^6.028 - t^6.227 + 4*t^6.255 + 3*t^6.481 + t^6.509 + t^6.537 + t^6.708 + 2*t^6.736 + t^6.764 + 2*t^6.934 + 2*t^6.962 + 2*t^6.99 + t^7.161 - t^7.189 + 2*t^7.217 + 2*t^7.245 + t^7.387 + 2*t^7.443 + 2*t^7.471 - t^7.642 + t^7.67 + 3*t^7.698 + t^7.726 + t^7.896 + 2*t^7.924 + t^7.953 + t^7.981 + t^8.123 + 3*t^8.151 - t^8.179 + 2*t^8.207 + t^8.378 - 4*t^8.406 + 4*t^8.434 + t^8.576 + 3*t^8.604 - 2*t^8.632 + 4*t^8.66 + t^8.688 + t^8.716 + t^8.831 - 3*t^8.859 + 2*t^8.915 + t^8.943 - t^4.443/y - t^6.622/y + t^7.076/y - t^7.33/y + t^7.557/y + t^7.585/y - t^7.811/y + t^8.038/y + t^8.066/y + (2*t^8.264)/y + t^8.292/y + (2*t^8.547)/y + t^8.745/y + (3*t^8.773)/y - t^4.443*y - t^6.622*y + t^7.076*y - t^7.33*y + t^7.557*y + t^7.585*y - t^7.811*y + t^8.038*y + t^8.066*y + 2*t^8.264*y + t^8.292*y + 2*t^8.547*y + t^8.745*y + 3*t^8.773*y | t^2.179/g1^34 + t^2.406/g1^10 + g1^38*t^2.859 + t^2.887/g1^12 + (2*t^3.368)/g1^14 + g1^10*t^3.594 + t^3.622/g1^40 + t^3.849/g1^16 + 2*g1^8*t^4.076 + g1^32*t^4.302 + t^4.358/g1^68 + g1^56*t^4.529 + t^4.585/g1^44 + t^4.811/g1^20 + g1^4*t^5.038 + t^5.066/g1^46 + g1^28*t^5.264 + t^5.292/g1^22 + t^5.547/g1^48 + g1^76*t^5.717 + g1^26*t^5.745 + (2*t^5.773)/g1^24 + t^5.802/g1^74 - 2*t^6. + (2*t^6.028)/g1^50 - g1^24*t^6.227 + (4*t^6.255)/g1^26 + (3*t^6.481)/g1^2 + t^6.509/g1^52 + t^6.537/g1^102 + g1^22*t^6.708 + (2*t^6.736)/g1^28 + t^6.764/g1^78 + 2*g1^46*t^6.934 + (2*t^6.962)/g1^4 + (2*t^6.99)/g1^54 + g1^70*t^7.161 - g1^20*t^7.189 + (2*t^7.217)/g1^30 + (2*t^7.245)/g1^80 + g1^94*t^7.387 + (2*t^7.443)/g1^6 + (2*t^7.471)/g1^56 - g1^68*t^7.642 + g1^18*t^7.67 + (3*t^7.698)/g1^32 + t^7.726/g1^82 + g1^42*t^7.896 + (2*t^7.924)/g1^8 + t^7.953/g1^58 + t^7.981/g1^108 + g1^66*t^8.123 + 3*g1^16*t^8.151 - t^8.179/g1^34 + (2*t^8.207)/g1^84 + g1^40*t^8.378 - (4*t^8.406)/g1^10 + (4*t^8.434)/g1^60 + g1^114*t^8.576 + 3*g1^64*t^8.604 - 2*g1^14*t^8.632 + (4*t^8.66)/g1^36 + t^8.688/g1^86 + t^8.716/g1^136 + g1^88*t^8.831 - 3*g1^38*t^8.859 + (2*t^8.915)/g1^62 + t^8.943/g1^112 - t^4.443/(g1^6*y) - t^6.622/(g1^40*y) + (g1^8*t^7.076)/y - t^7.33/(g1^18*y) + (g1^6*t^7.557)/y + t^7.585/(g1^44*y) - t^7.811/(g1^20*y) + (g1^4*t^8.038)/y + t^8.066/(g1^46*y) + (2*g1^28*t^8.264)/y + t^8.292/(g1^22*y) + (2*t^8.547)/(g1^48*y) + (g1^26*t^8.745)/y + (3*t^8.773)/(g1^24*y) - (t^4.443*y)/g1^6 - (t^6.622*y)/g1^40 + g1^8*t^7.076*y - (t^7.33*y)/g1^18 + g1^6*t^7.557*y + (t^7.585*y)/g1^44 - (t^7.811*y)/g1^20 + g1^4*t^8.038*y + (t^8.066*y)/g1^46 + 2*g1^28*t^8.264*y + (t^8.292*y)/g1^22 + (2*t^8.547*y)/g1^48 + g1^26*t^8.745*y + (3*t^8.773*y)/g1^24 |
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 |
---|---|---|---|---|---|---|---|---|
56377 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{6}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}^{2}$ | 0.6421 | 0.8009 | 0.8017 | [M:[0.8649, 1.1892, 1.1351, 0.7568, 0.8108, 1.1351], q:[0.3784, 0.7568], qb:[0.4324, 0.4865], phi:[0.4865]] | t^2.27 + t^2.432 + t^2.757 + t^2.919 + 2*t^3.405 + t^3.568 + t^3.73 + t^3.892 + 2*t^4.054 + t^4.216 + t^4.378 + t^4.541 + t^4.703 + t^4.865 + t^5.027 + 2*t^5.189 + t^5.351 + t^5.514 + 2*t^5.676 + 2*t^5.838 - t^6. - t^4.459/y - t^4.459*y | detail | {a: 260193/405224, c: 40567/50653, M1: 32/37, M2: 44/37, M3: 42/37, M4: 28/37, M5: 30/37, M6: 42/37, q1: 14/37, q2: 28/37, qb1: 16/37, qb2: 18/37, phi1: 18/37} |
56386 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{6}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6634 | 0.8409 | 0.789 | [M:[0.8754, 1.1967, 1.1246, 0.7311, 0.8033, 1.1246, 0.7148], q:[0.3656, 0.759], qb:[0.4377, 0.5099], phi:[0.482]] | t^2.144 + t^2.193 + t^2.41 + t^2.843 + t^2.892 + 2*t^3.374 + t^3.59 + t^3.639 + 2*t^4.072 + 2*t^4.289 + t^4.338 + t^4.387 + t^4.505 + t^4.554 + t^4.603 + t^4.82 + t^4.987 + 2*t^5.036 + t^5.085 + t^5.253 + t^5.302 + 2*t^5.518 + t^5.567 + t^5.686 + 2*t^5.735 + 3*t^5.784 + t^5.832 - 2*t^6. - t^4.446/y - t^4.446*y | detail | |
56384 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{6}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}^{2}$ | 0.661 | 0.8346 | 0.7919 | [M:[0.8682, 1.1915, 1.1318, 0.7488, 0.8085, 1.1318, 0.7661], q:[0.3744, 0.7575], qb:[0.4341, 0.4938], phi:[0.4851]] | t^2.246 + t^2.298 + t^2.425 + t^2.784 + t^2.91 + 2*t^3.396 + t^3.575 + t^3.881 + 2*t^4.06 + t^4.239 + t^4.418 + t^4.493 + t^4.545 + t^4.597 + t^4.672 + t^4.724 + t^4.851 + t^5.03 + t^5.082 + t^5.157 + 2*t^5.209 + t^5.336 + t^5.567 + t^5.642 + 3*t^5.694 + 2*t^5.821 + t^5.873 - 2*t^6. - t^4.455/y - t^4.455*y | detail | |
56381 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{6}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.6399 | 0.7972 | 0.8027 | [M:[0.872, 1.1943, 1.128, 0.7395, 0.8057, 1.128, 1.0331], q:[0.3697, 0.7583], qb:[0.436, 0.5022], phi:[0.4834]] | t^2.218 + t^2.417 + t^2.815 + t^3.099 + 2*t^3.384 + t^3.583 + t^3.669 + t^3.868 + 2*t^4.066 + t^4.265 + t^4.437 + t^4.464 + t^4.636 + t^4.834 + t^5.033 + t^5.232 + t^5.318 + t^5.517 + t^5.603 + t^5.629 + t^5.801 + t^5.887 + t^5.914 - 2*t^6. - t^4.45/y - t^4.45*y | detail | |
56379 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{6}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$ | 0.641 | 0.8022 | 0.7991 | [M:[0.8947, 1.2105, 1.1053, 0.6843, 0.7895, 1.1053, 1.0001], q:[0.3421, 0.7632], qb:[0.4474, 0.5526], phi:[0.4737]] | t^2.053 + t^2.368 + t^2.842 + t^3. + 2*t^3.316 + t^3.474 + t^3.632 + t^3.79 + 2*t^4.105 + t^4.106 + 2*t^4.421 + 2*t^4.737 + t^4.895 + t^5.053 + t^5.211 + 2*t^5.369 + t^5.527 + 2*t^5.684 + 3*t^5.842 - t^6. - t^4.421/y - t^4.421*y | detail | |
56375 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{6}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$ | 0.641 | 0.8022 | 0.7991 | [M:[0.8947, 1.2105, 1.1053, 0.6842, 0.7895, 1.1053], q:[0.3421, 0.7632], qb:[0.4474, 0.5526], phi:[0.4737]] | t^2.053 + t^2.368 + t^2.842 + t^3. + 2*t^3.316 + t^3.474 + t^3.632 + t^3.789 + 3*t^4.105 + 2*t^4.421 + 2*t^4.737 + t^4.895 + t^5.053 + t^5.211 + 2*t^5.368 + t^5.526 + 2*t^5.684 + 3*t^5.842 - t^6. - t^4.421/y - t^4.421*y | detail | {a: 35175/54872, c: 88039/109744, M1: 17/19, M2: 23/19, M3: 21/19, M4: 13/19, M5: 15/19, M6: 21/19, q1: 13/38, q2: 29/38, qb1: 17/38, qb2: 21/38, phi1: 9/19} |
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 |
---|---|---|---|---|---|---|---|---|---|
48187 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{6}$ | 0.7055 | 0.8657 | 0.8149 | [M:[1.0469, 1.0376, 0.9531, 0.878, 0.9624, 0.9531], q:[0.439, 0.5141], qb:[0.5235, 0.6079], phi:[0.4789]] | t^2.634 + 2*t^2.859 + t^2.873 + t^2.887 + t^3.113 + t^3.394 + t^4.071 + t^4.296 + t^4.324 + t^4.521 + t^4.549 + 2*t^4.577 + t^4.803 + t^4.831 + t^5.084 + t^5.268 + t^5.493 + t^5.507 + t^5.521 + 2*t^5.719 + 2*t^5.733 + 2*t^5.747 + t^5.761 + t^5.972 + t^5.986 - 3*t^6. - t^4.437/y - t^4.437*y | detail |