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 |
---|---|---|---|---|---|---|---|---|---|
289 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ | 0.5538 | 0.7072 | 0.783 | [M:[0.9766, 1.0234, 0.7043], q:[0.5914, 0.9766], qb:[0.4319, 0.2724], phi:[0.4319]] | [M:[[7], [-7], [3]], q:[[-6], [7]], qb:[[-1], [4]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }q_{1}q_{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}^{4}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$ | -1 | 2*t^2.113 + 2*t^2.591 + t^2.93 + t^3.07 + t^3.409 + t^3.747 + 4*t^4.226 + 5*t^4.704 + 2*t^5.043 + 4*t^5.183 + 3*t^5.521 + t^5.661 + 3*t^5.86 - t^6. + t^6.14 + 7*t^6.339 - 2*t^6.479 + t^6.677 + 7*t^6.817 - t^6.957 + 4*t^7.156 + 6*t^7.296 + t^7.494 + 4*t^7.634 + 3*t^7.774 + 6*t^7.973 - 4*t^8.113 + 2*t^8.253 + 12*t^8.451 - 8*t^8.591 + t^8.732 + 3*t^8.79 + 7*t^8.93 - t^4.296/y - t^6.409/y - t^6.887/y + t^7.226/y + (5*t^7.704)/y + (2*t^8.043)/y + (4*t^8.183)/y + (3*t^8.521)/y + (2*t^8.661)/y + (2*t^8.86)/y - t^4.296*y - t^6.409*y - t^6.887*y + t^7.226*y + 5*t^7.704*y + 2*t^8.043*y + 4*t^8.183*y + 3*t^8.521*y + 2*t^8.661*y + 2*t^8.86*y | 2*g1^3*t^2.113 + (2*t^2.591)/g1^2 + g1^7*t^2.93 + t^3.07/g1^7 + g1^2*t^3.409 + g1^11*t^3.747 + 4*g1^6*t^4.226 + 5*g1*t^4.704 + 2*g1^10*t^5.043 + (4*t^5.183)/g1^4 + 3*g1^5*t^5.521 + t^5.661/g1^9 + 3*g1^14*t^5.86 - t^6. + t^6.14/g1^14 + 7*g1^9*t^6.339 - (2*t^6.479)/g1^5 + g1^18*t^6.677 + 7*g1^4*t^6.817 - t^6.957/g1^10 + 4*g1^13*t^7.156 + (6*t^7.296)/g1 + g1^22*t^7.494 + 4*g1^8*t^7.634 + (3*t^7.774)/g1^6 + 6*g1^17*t^7.973 - 4*g1^3*t^8.113 + (2*t^8.253)/g1^11 + 12*g1^12*t^8.451 - (8*t^8.591)/g1^2 + t^8.732/g1^16 + 3*g1^21*t^8.79 + 7*g1^7*t^8.93 - t^4.296/(g1*y) - (g1^2*t^6.409)/y - t^6.887/(g1^3*y) + (g1^6*t^7.226)/y + (5*g1*t^7.704)/y + (2*g1^10*t^8.043)/y + (4*t^8.183)/(g1^4*y) + (3*g1^5*t^8.521)/y + (2*t^8.661)/(g1^9*y) + (2*g1^14*t^8.86)/y - (t^4.296*y)/g1 - g1^2*t^6.409*y - (t^6.887*y)/g1^3 + g1^6*t^7.226*y + 5*g1*t^7.704*y + 2*g1^10*t^8.043*y + (4*t^8.183*y)/g1^4 + 3*g1^5*t^8.521*y + (2*t^8.661*y)/g1^9 + 2*g1^14*t^8.86*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 |
---|---|---|---|---|---|---|---|---|
462 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$ | 0.5537 | 0.7053 | 0.7851 | [M:[1.0224, 0.9776, 0.7239, 0.9776], q:[0.5522, 1.0224], qb:[0.4254, 0.2985], phi:[0.4254]] | 2*t^2.172 + 2*t^2.552 + 2*t^2.933 + t^3.448 + t^3.963 + 4*t^4.343 + 5*t^4.724 + 6*t^5.104 + 3*t^5.485 + t^5.62 + 3*t^5.865 - 2*t^6. - t^4.276/y - t^4.276*y | detail | |
463 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}^{2}$ | 0.5418 | 0.6877 | 0.7879 | [M:[0.9659, 1.0341, 0.6997, 1.1331], q:[0.6007, 0.9659], qb:[0.4334, 0.2662], phi:[0.4334]] | 2*t^2.099 + t^2.601 + t^2.898 + t^3.102 + 2*t^3.399 + t^3.696 + 4*t^4.198 + 3*t^4.7 + 2*t^4.997 + 2*t^5.201 + 4*t^5.498 + 3*t^5.795 - t^6. - t^4.3/y - t^4.3*y | detail | |
1767 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ | 0.5734 | 0.743 | 0.7718 | [M:[0.9972, 1.0028, 0.7131, 0.7187], q:[0.5738, 0.9972], qb:[0.429, 0.2841], phi:[0.429]] | 2*t^2.139 + t^2.156 + 2*t^2.574 + t^2.992 + t^3.008 + t^3.426 + 4*t^4.279 + 2*t^4.295 + t^4.312 + 5*t^4.713 + 2*t^4.73 + 2*t^5.131 + 5*t^5.148 + t^5.164 + 3*t^5.565 + 2*t^5.582 + t^5.983 - t^6. - t^4.287/y - t^4.287*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 |
---|---|---|---|---|---|---|---|---|---|
185 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$ | 0.5333 | 0.6681 | 0.7983 | [M:[0.981, 1.019], q:[0.5878, 0.981], qb:[0.4313, 0.2748], phi:[0.4313]] | t^2.118 + 2*t^2.588 + t^2.943 + t^3.057 + t^3.412 + t^3.767 + t^3.882 + 2*t^4.237 + 3*t^4.706 + t^5.061 + 3*t^5.176 + 2*t^5.531 + t^5.645 + 2*t^5.886 - t^4.294/y - t^4.294*y | detail |