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 |
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953 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}^{2}$ | 0.696 | 0.8516 | 0.8172 | [M:[1.0191, 0.9426, 1.0, 0.9617, 1.0383], q:[0.5096, 0.4713], qb:[0.4904, 0.567], phi:[0.4904]] | [M:[[2], [-6], [0], [-4], [4]], q:[[1], [-3]], qb:[[-1], [7]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{3}\phi_{1}^{2}$ | ${}$ | -1 | t^2.828 + t^2.885 + t^2.943 + t^3. + t^3.057 + t^3.115 + t^3.23 + t^4.299 + t^4.356 + 2*t^4.414 + t^4.471 + t^4.529 + t^4.586 + t^4.644 + t^4.701 + t^4.873 + t^5.655 + t^5.77 + t^5.828 + 2*t^5.885 + t^5.943 - t^6. + t^6.057 + t^6.115 + t^6.172 + t^6.23 + t^6.345 + t^6.46 + t^7.127 + t^7.184 + 3*t^7.242 + 3*t^7.299 + 3*t^7.356 + 3*t^7.414 + t^7.471 + 3*t^7.529 + t^7.586 + 2*t^7.644 + 2*t^7.701 + t^7.758 + 2*t^7.816 + t^7.873 + t^7.931 + t^7.988 + t^8.103 + t^8.483 + 2*t^8.598 + t^8.655 + 3*t^8.713 + 2*t^8.77 + t^8.885 - t^8.943 - t^4.471/y - t^7.299/y + t^7.644/y + t^8.713/y + t^8.77/y + (2*t^8.828)/y + (2*t^8.885)/y + (3*t^8.943)/y - t^4.471*y - t^7.299*y + t^7.644*y + t^8.713*y + t^8.77*y + 2*t^8.828*y + 2*t^8.885*y + 3*t^8.943*y | t^2.828/g1^6 + t^2.885/g1^4 + t^2.943/g1^2 + t^3. + g1^2*t^3.057 + g1^4*t^3.115 + g1^8*t^3.23 + t^4.299/g1^7 + t^4.356/g1^5 + (2*t^4.414)/g1^3 + t^4.471/g1 + g1*t^4.529 + g1^3*t^4.586 + g1^5*t^4.644 + g1^7*t^4.701 + g1^13*t^4.873 + t^5.655/g1^12 + t^5.77/g1^8 + t^5.828/g1^6 + (2*t^5.885)/g1^4 + t^5.943/g1^2 - t^6. + g1^2*t^6.057 + g1^4*t^6.115 + g1^6*t^6.172 + g1^8*t^6.23 + g1^12*t^6.345 + g1^16*t^6.46 + t^7.127/g1^13 + t^7.184/g1^11 + (3*t^7.242)/g1^9 + (3*t^7.299)/g1^7 + (3*t^7.356)/g1^5 + (3*t^7.414)/g1^3 + t^7.471/g1 + 3*g1*t^7.529 + g1^3*t^7.586 + 2*g1^5*t^7.644 + 2*g1^7*t^7.701 + g1^9*t^7.758 + 2*g1^11*t^7.816 + g1^13*t^7.873 + g1^15*t^7.931 + g1^17*t^7.988 + g1^21*t^8.103 + t^8.483/g1^18 + (2*t^8.598)/g1^14 + t^8.655/g1^12 + (3*t^8.713)/g1^10 + (2*t^8.77)/g1^8 + t^8.885/g1^4 - t^8.943/g1^2 - t^4.471/(g1*y) - t^7.299/(g1^7*y) + (g1^5*t^7.644)/y + t^8.713/(g1^10*y) + t^8.77/(g1^8*y) + (2*t^8.828)/(g1^6*y) + (2*t^8.885)/(g1^4*y) + (3*t^8.943)/(g1^2*y) - (t^4.471*y)/g1 - (t^7.299*y)/g1^7 + g1^5*t^7.644*y + (t^8.713*y)/g1^10 + (t^8.77*y)/g1^8 + (2*t^8.828*y)/g1^6 + (2*t^8.885*y)/g1^4 + (3*t^8.943*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|
1470 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{6}$ | 0.6979 | 0.8549 | 0.8164 | [M:[1.023, 0.9309, 1.0, 0.954, 1.046, 0.977], q:[0.5115, 0.4655], qb:[0.4885, 0.5806], phi:[0.4885]] | t^2.793 + t^2.862 + 2*t^2.931 + t^3. + t^3.138 + t^3.276 + t^4.258 + t^4.327 + 2*t^4.396 + t^4.465 + t^4.535 + t^4.604 + t^4.673 + t^4.742 + t^4.949 + t^5.586 + 2*t^5.724 + 2*t^5.793 + 3*t^5.862 + t^5.931 - 2*t^6. - t^4.465/y - t^4.465*y | detail | |
1471 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{5}M_{6}$ | 0.7002 | 0.859 | 0.8152 | [M:[1.0268, 0.9196, 1.0, 0.9464, 1.0536, 0.9464], q:[0.5134, 0.4598], qb:[0.4866, 0.5938], phi:[0.4866]] | t^2.759 + 2*t^2.839 + t^2.92 + t^3. + t^3.08 + t^3.321 + t^4.219 + t^4.299 + 2*t^4.379 + t^4.46 + t^4.54 + t^4.621 + t^4.701 + t^4.781 + t^5.022 + t^5.518 + t^5.598 + 3*t^5.679 + 2*t^5.759 + 3*t^5.839 + t^5.92 - 2*t^6. - t^4.46/y - t^4.46*y | detail | |
1472 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6943 | 0.8492 | 0.8177 | [M:[1.0153, 0.9541, 1.0, 0.9694, 1.0306, 1.0153], q:[0.5077, 0.477], qb:[0.4923, 0.5536], phi:[0.4923]] | t^2.862 + t^2.908 + t^3. + 2*t^3.046 + t^3.092 + t^3.184 + t^4.339 + t^4.385 + 2*t^4.431 + t^4.477 + t^4.523 + t^4.569 + t^4.615 + t^4.661 + t^4.799 + t^5.724 + 2*t^5.908 + t^5.954 - 2*t^6. - t^4.477/y - t^4.477*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 |
---|---|---|---|---|---|---|---|---|---|
599 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ | 0.7095 | 0.8721 | 0.8136 | [M:[1.0487, 0.8538, 0.8746, 1.0279, 0.9721], q:[0.5244, 0.4269], qb:[0.601, 0.5452], phi:[0.4756]] | t^2.561 + t^2.624 + t^2.854 + t^2.916 + t^3.084 + t^3.146 + t^3.209 + t^3.988 + t^4.281 + t^4.343 + t^4.511 + t^4.573 + t^4.636 + t^4.698 + t^4.803 + t^4.866 + t^5.033 + t^5.123 + t^5.185 + t^5.248 + t^5.415 + t^5.478 + t^5.54 + 2*t^5.708 + 2*t^5.77 + t^5.832 - 2*t^6. - t^4.427/y - t^4.427*y | detail |