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 |
---|---|---|---|---|---|---|---|---|---|
4851 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{1}M_{7}$ | 0.6525 | 0.8129 | 0.8027 | [M:[1.1666, 0.7, 0.9832, 0.8833, 1.1167, 1.0667, 0.8334, 1.0168], q:[0.4834, 0.35], qb:[0.5334, 0.7667], phi:[0.4666]] | [M:[[-10], [-6], [-17], [1], [-1], [8], [10], [17]], q:[[13], [-3]], qb:[[4], [2]], phi:[[-4]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{7}$, ${ }M_{4}$, ${ }M_{8}$, ${ }M_{6}$, ${ }M_{5}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{2}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{7}M_{8}$, ${ }M_{6}M_{7}$, ${ }M_{4}M_{8}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{7}$ | ${}M_{2}\phi_{1}q_{1}q_{2}$ | 0 | t^2.1 + t^2.5 + t^2.65 + t^3.05 + t^3.2 + t^3.35 + t^3.5 + t^3.75 + t^3.9 + t^4.05 + t^4.2 + t^4.3 + t^4.45 + 2*t^4.6 + t^4.75 + t^5. + 2*t^5.15 + 2*t^5.3 + t^5.551 + 2*t^5.7 + 2*t^5.85 + t^6.101 + 2*t^6.251 + t^6.3 + 3*t^6.4 + 2*t^6.55 + 2*t^6.7 + 2*t^6.801 + 3*t^6.95 + 4*t^7.1 + 2*t^7.25 + t^7.351 + t^7.4 + 3*t^7.501 + 4*t^7.65 + 3*t^7.8 + t^7.95 + 2*t^8.051 - t^8.1 + 4*t^8.201 - t^8.25 + 4*t^8.35 + t^8.399 + t^8.5 + 2*t^8.601 - 2*t^8.65 + 4*t^8.751 + 5*t^8.901 - t^8.95 - t^4.4/y - t^6.5/y + t^7.6/y + t^7.75/y + (2*t^8.15)/y + (2*t^8.3)/y + t^8.45/y + t^8.551/y + (2*t^8.7)/y + (3*t^8.85)/y - t^4.4*y - t^6.5*y + t^7.6*y + t^7.75*y + 2*t^8.15*y + 2*t^8.3*y + t^8.45*y + t^8.551*y + 2*t^8.7*y + 3*t^8.85*y | t^2.1/g1^6 + g1^10*t^2.5 + g1*t^2.65 + g1^17*t^3.05 + g1^8*t^3.2 + t^3.35/g1 + t^3.5/g1^10 + g1^15*t^3.75 + g1^6*t^3.9 + t^4.05/g1^3 + t^4.2/g1^12 + g1^22*t^4.3 + g1^13*t^4.45 + 2*g1^4*t^4.6 + t^4.75/g1^5 + g1^20*t^5. + 2*g1^11*t^5.15 + 2*g1^2*t^5.3 + g1^27*t^5.551 + 2*g1^18*t^5.7 + 2*g1^9*t^5.85 + g1^34*t^6.101 + 2*g1^25*t^6.251 + t^6.3/g1^18 + 3*g1^16*t^6.4 + 2*g1^7*t^6.55 + (2*t^6.7)/g1^2 + 2*g1^32*t^6.801 + 3*g1^23*t^6.95 + 4*g1^14*t^7.1 + 2*g1^5*t^7.25 + g1^39*t^7.351 + t^7.4/g1^4 + 3*g1^30*t^7.501 + 4*g1^21*t^7.65 + 3*g1^12*t^7.8 + g1^3*t^7.95 + 2*g1^37*t^8.051 - t^8.1/g1^6 + 4*g1^28*t^8.201 - t^8.25/g1^15 + 4*g1^19*t^8.35 + t^8.399/g1^24 + g1^10*t^8.5 + 2*g1^44*t^8.601 - 2*g1*t^8.65 + 4*g1^35*t^8.751 + 5*g1^26*t^8.901 - t^8.95/g1^17 - t^4.4/(g1^4*y) - t^6.5/(g1^10*y) + (g1^4*t^7.6)/y + t^7.75/(g1^5*y) + (2*g1^11*t^8.15)/y + (2*g1^2*t^8.3)/y + t^8.45/(g1^7*y) + (g1^27*t^8.551)/y + (2*g1^18*t^8.7)/y + (3*g1^9*t^8.85)/y - (t^4.4*y)/g1^4 - (t^6.5*y)/g1^10 + g1^4*t^7.6*y + (t^7.75*y)/g1^5 + 2*g1^11*t^8.15*y + 2*g1^2*t^8.3*y + (t^8.45*y)/g1^7 + g1^27*t^8.551*y + 2*g1^18*t^8.7*y + 3*g1^9*t^8.85*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 |
---|---|---|---|---|---|---|---|---|
6480 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{1}M_{7}$ + ${ }M_{4}M_{9}$ | 0.642 | 0.7949 | 0.8077 | [M:[1.1645, 0.6987, 0.9797, 0.8835, 1.1165, 1.0684, 0.8355, 1.0203, 1.1165], q:[0.4861, 0.3494], qb:[0.5342, 0.7671], phi:[0.4658]] | t^2.096 + t^2.506 + t^3.061 + t^3.205 + 2*t^3.349 + t^3.494 + t^3.76 + t^3.904 + t^4.048 + t^4.192 + t^4.314 + t^4.458 + 2*t^4.603 + t^5.013 + t^5.157 + t^5.301 + t^5.445 + t^5.567 + t^5.712 + 2*t^5.856 - t^6. - t^4.397/y - t^4.397*y | detail | |
6481 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{1}M_{7}$ + ${ }M_{8}M_{9}$ | 0.6572 | 0.8174 | 0.804 | [M:[1.1275, 0.6765, 0.9167, 0.8873, 1.1127, 1.098, 0.8725, 1.0833, 0.9167], q:[0.5343, 0.3382], qb:[0.549, 0.7745], phi:[0.451]] | t^2.029 + t^2.618 + t^2.662 + t^2.75 + t^3.294 + t^3.338 + t^3.382 + t^3.926 + t^3.971 + t^4.015 + t^4.059 + t^4.559 + t^4.603 + 2*t^4.647 + t^4.691 + t^4.779 + t^5.235 + t^5.279 + 2*t^5.324 + t^5.368 + t^5.412 + t^5.5 + t^5.912 + 2*t^5.956 - t^4.353/y - t^4.353*y | detail | |
6483 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{1}M_{7}$ + ${ }M_{9}\phi_{1}q_{1}q_{2}$ | 0.673 | 0.8519 | 0.79 | [M:[1.164, 0.6984, 0.9788, 0.8836, 1.1164, 1.0688, 0.836, 1.0212, 0.6984], q:[0.4868, 0.3492], qb:[0.5344, 0.7672], phi:[0.4656]] | 2*t^2.095 + t^2.508 + t^2.651 + t^3.064 + t^3.206 + t^3.349 + t^3.492 + t^3.762 + t^4.048 + 3*t^4.19 + t^4.317 + t^4.46 + 3*t^4.603 + 2*t^4.746 + t^5.016 + 3*t^5.159 + 3*t^5.302 + t^5.444 + t^5.571 + t^5.587 + 2*t^5.714 + 3*t^5.857 - t^6. - t^4.397/y - t^4.397*y | detail | |
6482 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{8}$ + ${ }M_{1}M_{7}$ + ${ }M_{9}q_{1}\tilde{q}_{2}$ | 0.6719 | 0.8474 | 0.7929 | [M:[1.1541, 0.6924, 0.9619, 0.8846, 1.1154, 1.0767, 0.8459, 1.0381, 0.7311], q:[0.4997, 0.3462], qb:[0.5384, 0.7692], phi:[0.4616]] | t^2.077 + t^2.193 + t^2.538 + t^2.654 + t^3.114 + t^3.23 + t^3.346 + t^3.462 + t^3.923 + t^4.039 + t^4.155 + t^4.271 + t^4.383 + t^4.387 + t^4.499 + 2*t^4.615 + 2*t^4.731 + t^4.847 + t^5.076 + 2*t^5.192 + 3*t^5.308 + t^5.424 + t^5.54 + t^5.652 + t^5.656 + 2*t^5.768 + t^5.884 - t^4.385/y - t^4.385*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 |
---|---|---|---|---|---|---|---|---|---|
2676 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{8}$ | 0.671 | 0.8353 | 0.8033 | [M:[1.0384, 0.795, 1.0018, 0.8317, 1.1683, 1.0833, 0.7466, 0.9982], q:[0.5641, 0.3975], qb:[0.4341, 0.7708], phi:[0.4584]] | t^2.24 + t^2.385 + t^2.495 + t^2.995 + t^3.115 + t^3.25 + t^3.505 + t^3.87 + t^3.98 + t^4.005 + t^4.26 + t^4.37 + t^4.48 + t^4.625 + t^4.735 + t^4.76 + t^4.77 + t^4.88 + t^4.99 + t^5.234 + t^5.355 + t^5.38 + 2*t^5.49 + t^5.635 + 2*t^5.745 + t^5.989 - 2*t^6. - t^4.375/y - t^4.375*y | detail |