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 |
---|---|---|---|---|---|---|---|---|---|
48173 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ | 0.6593 | 0.8223 | 0.8018 | [M:[1.1149, 1.1485, 0.8851, 0.6891, 0.8515], q:[0.3446, 0.5406], qb:[0.5069, 0.7703], phi:[0.4594]] | [M:[[-1], [-10], [1], [-6], [10]], q:[[-3], [4]], qb:[[13], [2]], phi:[[-4]]] |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{5}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{4}\phi_{1}q_{1}\tilde{q}_{1}$ | 0 | t^2.067 + t^2.554 + t^2.655 + t^2.756 + t^3.143 + t^3.345 + t^3.446 + t^3.832 + t^3.933 + t^4.034 + t^4.135 + t^4.42 + t^4.521 + 2*t^4.622 + t^4.723 + t^4.824 + t^5.109 + 2*t^5.21 + 2*t^5.311 + t^5.412 + t^5.513 + t^5.697 + t^5.798 + 2*t^5.899 + t^6.101 + 2*t^6.202 + t^6.285 + t^6.386 + 2*t^6.487 + 2*t^6.588 + 2*t^6.689 + t^6.79 + t^6.891 + 2*t^6.974 + 2*t^7.075 + 4*t^7.176 + 2*t^7.277 + 2*t^7.378 + t^7.479 + t^7.563 + t^7.58 + 2*t^7.663 + 3*t^7.764 + 2*t^7.865 + 2*t^7.966 + t^8.067 + 2*t^8.252 + 2*t^8.269 + 3*t^8.353 + 3*t^8.454 + 2*t^8.84 + 3*t^8.941 + 2*t^8.958 - t^4.378/y - t^6.446/y - t^7.135/y + (2*t^7.622)/y + t^7.723/y + t^7.824/y + (2*t^8.21)/y + (2*t^8.311)/y + (2*t^8.412)/y + t^8.697/y + t^8.798/y + (3*t^8.899)/y - t^4.378*y - t^6.446*y - t^7.135*y + 2*t^7.622*y + t^7.723*y + t^7.824*y + 2*t^8.21*y + 2*t^8.311*y + 2*t^8.412*y + t^8.697*y + t^8.798*y + 3*t^8.899*y | t^2.067/g1^6 + g1^10*t^2.554 + g1*t^2.655 + t^2.756/g1^8 + g1^17*t^3.143 + t^3.345/g1 + t^3.446/g1^10 + g1^15*t^3.832 + g1^6*t^3.933 + t^4.034/g1^3 + t^4.135/g1^12 + g1^22*t^4.42 + g1^13*t^4.521 + 2*g1^4*t^4.622 + t^4.723/g1^5 + t^4.824/g1^14 + g1^20*t^5.109 + 2*g1^11*t^5.21 + 2*g1^2*t^5.311 + t^5.412/g1^7 + t^5.513/g1^16 + g1^27*t^5.697 + g1^18*t^5.798 + 2*g1^9*t^5.899 + t^6.101/g1^9 + (2*t^6.202)/g1^18 + g1^34*t^6.285 + g1^25*t^6.386 + 2*g1^16*t^6.487 + 2*g1^7*t^6.588 + (2*t^6.689)/g1^2 + t^6.79/g1^11 + t^6.891/g1^20 + 2*g1^32*t^6.974 + 2*g1^23*t^7.075 + 4*g1^14*t^7.176 + 2*g1^5*t^7.277 + (2*t^7.378)/g1^4 + t^7.479/g1^13 + g1^39*t^7.563 + t^7.58/g1^22 + 2*g1^30*t^7.663 + 3*g1^21*t^7.764 + 2*g1^12*t^7.865 + 2*g1^3*t^7.966 + t^8.067/g1^6 + 2*g1^37*t^8.252 + (2*t^8.269)/g1^24 + 3*g1^28*t^8.353 + 3*g1^19*t^8.454 + 2*g1^44*t^8.84 + 3*g1^35*t^8.941 + (2*t^8.958)/g1^26 - t^4.378/(g1^4*y) - t^6.446/(g1^10*y) - t^7.135/(g1^12*y) + (2*g1^4*t^7.622)/y + t^7.723/(g1^5*y) + t^7.824/(g1^14*y) + (2*g1^11*t^8.21)/y + (2*g1^2*t^8.311)/y + (2*t^8.412)/(g1^7*y) + (g1^27*t^8.697)/y + (g1^18*t^8.798)/y + (3*g1^9*t^8.899)/y - (t^4.378*y)/g1^4 - (t^6.446*y)/g1^10 - (t^7.135*y)/g1^12 + 2*g1^4*t^7.622*y + (t^7.723*y)/g1^5 + (t^7.824*y)/g1^14 + 2*g1^11*t^8.21*y + 2*g1^2*t^8.311*y + (2*t^8.412*y)/g1^7 + g1^27*t^8.697*y + g1^18*t^8.798*y + 3*g1^9*t^8.899*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 |
---|---|---|---|---|---|---|---|---|
55923 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{6}$ | 0.6697 | 0.84 | 0.7972 | [M:[1.1151, 1.1506, 0.8849, 0.6904, 0.8494, 0.8849], q:[0.3452, 0.5398], qb:[0.5042, 0.7699], phi:[0.4602]] | t^2.071 + t^2.548 + 2*t^2.655 + t^2.761 + t^3.132 + t^3.452 + t^3.822 + t^3.929 + t^4.036 + t^4.142 + t^4.406 + t^4.513 + 2*t^4.619 + 2*t^4.726 + t^4.833 + t^5.096 + 3*t^5.203 + 4*t^5.31 + t^5.416 + t^5.523 + t^5.68 + 2*t^5.787 + t^5.893 - t^6. - t^4.381/y - t^4.381*y | detail | |
50977 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{2}M_{6}$ | 0.673 | 0.8479 | 0.7937 | [M:[1.1166, 1.1662, 0.8834, 0.6997, 0.8338, 0.8338], q:[0.3499, 0.5335], qb:[0.4839, 0.7668], phi:[0.4665]] | t^2.099 + 2*t^2.501 + t^2.65 + t^2.799 + t^3.052 + t^3.35 + t^3.752 + t^3.901 + t^4.05 + t^4.198 + t^4.303 + t^4.452 + 3*t^4.601 + t^4.749 + t^4.898 + 3*t^5.003 + 3*t^5.152 + 3*t^5.3 + t^5.449 + 2*t^5.554 + t^5.702 + 3*t^5.851 - t^6. - t^4.399/y - t^4.399*y | detail | |
55922 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{3}M_{6}$ | 0.649 | 0.8046 | 0.8066 | [M:[1.1146, 1.1464, 0.8854, 0.6878, 0.8536, 1.1146], q:[0.3439, 0.5414], qb:[0.5097, 0.7707], phi:[0.4586]] | t^2.064 + t^2.561 + t^2.751 + t^3.153 + 2*t^3.344 + t^3.439 + t^3.841 + t^3.936 + t^4.032 + t^4.127 + t^4.434 + t^4.529 + 2*t^4.624 + t^4.815 + t^5.122 + t^5.217 + t^5.312 + t^5.407 + t^5.503 + t^5.714 + 3*t^5.905 - t^6. - t^4.376/y - t^4.376*y | detail | |
55921 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}M_{6}$ | 0.6386 | 0.7824 | 0.8162 | [M:[1.115, 1.1505, 0.885, 0.6903, 0.8495, 1.3097], q:[0.3451, 0.5398], qb:[0.5044, 0.7699], phi:[0.4602]] | t^2.549 + t^2.655 + t^2.761 + t^3.133 + t^3.345 + t^3.451 + t^3.823 + 2*t^3.929 + t^4.035 + t^4.407 + t^4.513 + t^4.619 + t^5.097 + t^5.203 + 2*t^5.31 + t^5.681 + t^5.788 + t^5.894 - t^6. - t^4.381/y - t^4.381*y | detail | |
55925 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.68 | 0.8624 | 0.7886 | [M:[1.1147, 1.1467, 0.8853, 0.688, 0.8533, 0.688], q:[0.344, 0.5413], qb:[0.5093, 0.7707], phi:[0.4587]] | 2*t^2.064 + t^2.56 + t^2.656 + t^2.752 + t^3.152 + t^3.344 + t^3.44 + t^3.84 + t^4.032 + 3*t^4.128 + t^4.432 + t^4.528 + 3*t^4.624 + 2*t^4.72 + 2*t^4.816 + t^5.12 + 3*t^5.216 + 2*t^5.312 + 2*t^5.408 + 2*t^5.504 + t^5.712 + t^5.808 + 3*t^5.904 - t^6. - t^4.376/y - t^4.376*y | detail | |
55924 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6795 | 0.8599 | 0.7902 | [M:[1.114, 1.1398, 0.886, 0.6839, 0.8602, 0.7097], q:[0.3419, 0.5441], qb:[0.5183, 0.772], phi:[0.4559]] | t^2.052 + t^2.129 + t^2.581 + t^2.658 + t^2.735 + t^3.187 + t^3.342 + t^3.419 + t^3.948 + t^4.026 + t^4.103 + t^4.181 + t^4.258 + t^4.477 + t^4.555 + 2*t^4.632 + 2*t^4.71 + 2*t^4.787 + t^4.864 + t^5.161 + 2*t^5.239 + 3*t^5.316 + t^5.394 + 2*t^5.471 + t^5.548 + t^5.768 + t^5.845 + t^5.923 - t^4.368/y - t^4.368*y | detail |
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 |
---|---|---|---|---|---|---|---|---|---|
46743 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ | 0.6793 | 0.8474 | 0.8016 | [M:[1.1687, 1.0148, 0.8313, 0.788, 0.7613], q:[0.394, 0.4373], qb:[0.5912, 0.7746], phi:[0.4507]] | t^2.284 + t^2.364 + t^2.494 + t^2.704 + t^3.044 + t^3.086 + t^3.506 + t^3.846 + t^3.976 + t^4.097 + t^4.308 + t^4.438 + t^4.568 + t^4.648 + t^4.728 + t^4.778 + t^4.858 + t^4.899 + 2*t^4.988 + t^5.068 + t^5.198 + t^5.328 + t^5.369 + t^5.408 + t^5.45 + t^5.58 + t^5.749 + 2*t^5.79 - 2*t^6. - t^4.352/y - t^4.352*y | detail |