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 |
---|---|---|---|---|---|---|---|---|---|
46030 | SU2adj1nf2 | ${}M_{1}\phi_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6845 | 0.8095 | 0.8456 | [M:[1.2823, 0.8373, 0.8373, 0.8373], q:[0.5813, 0.5813], qb:[0.5813, 0.8206], phi:[0.3588]] | [M:[[0, 0, 4], [0, 1, -7], [1, 0, -7], [-1, -1, 0]], q:[[-1, -1, 7], [1, 0, 0]], qb:[[0, 1, 0], [0, 0, 1]], phi:[[0, 0, -2]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{3}$, ${ }M_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{4}$ | ${}$ | -9 | 3*t^2.512 + t^3.847 + 3*t^4.206 + 6*t^4.565 + 6*t^5.024 - 9*t^6. + 6*t^6.718 + 10*t^7.077 + 10*t^7.536 + 6*t^8.412 - 21*t^8.512 + 10*t^8.77 - t^4.077/y - (3*t^6.588)/y + (3*t^7.565)/y + (3*t^8.024)/y - t^4.077*y - 3*t^6.588*y + 3*t^7.565*y + 3*t^8.024*y | t^2.512/(g1*g2) + (g1*t^2.512)/g3^7 + (g2*t^2.512)/g3^7 + g3^4*t^3.847 + g1*g3*t^4.206 + g2*g3*t^4.206 + (g3^8*t^4.206)/(g1*g2) + (g1^2*t^4.565)/g3^2 + (g1*g2*t^4.565)/g3^2 + (g2^2*t^4.565)/g3^2 + (g3^5*t^4.565)/g1 + (g3^5*t^4.565)/g2 + (g3^12*t^4.565)/(g1^2*g2^2) + t^5.024/(g1^2*g2^2) + (g1^2*t^5.024)/g3^14 + (g1*g2*t^5.024)/g3^14 + (g2^2*t^5.024)/g3^14 + t^5.024/(g1*g3^7) + t^5.024/(g2*g3^7) - 3*t^6. - (g1*t^6.)/g2 - (g2*t^6.)/g1 - (g1^2*g2*t^6.)/g3^7 - (g1*g2^2*t^6.)/g3^7 - (g3^7*t^6.)/(g1*g2^2) - (g3^7*t^6.)/(g1^2*g2) + (g1^2*t^6.718)/g3^6 + (g1*g2*t^6.718)/g3^6 + (g2^2*t^6.718)/g3^6 + (g3*t^6.718)/g1 + (g3*t^6.718)/g2 + (g3^8*t^6.718)/(g1^2*g2^2) + (g1^3*t^7.077)/g3^9 + (g1^2*g2*t^7.077)/g3^9 + (g1*g2^2*t^7.077)/g3^9 + (g2^3*t^7.077)/g3^9 + t^7.077/g3^2 + (g1*t^7.077)/(g2*g3^2) + (g2*t^7.077)/(g1*g3^2) + (g3^5*t^7.077)/(g1*g2^2) + (g3^5*t^7.077)/(g1^2*g2) + (g3^12*t^7.077)/(g1^3*g2^3) + t^7.536/(g1^3*g2^3) + (g1^3*t^7.536)/g3^21 + (g1^2*g2*t^7.536)/g3^21 + (g1*g2^2*t^7.536)/g3^21 + (g2^3*t^7.536)/g3^21 + t^7.536/g3^14 + (g1*t^7.536)/(g2*g3^14) + (g2*t^7.536)/(g1*g3^14) + t^7.536/(g1*g2^2*g3^7) + t^7.536/(g1^2*g2*g3^7) + g1^2*g3^2*t^8.412 + g1*g2*g3^2*t^8.412 + g2^2*g3^2*t^8.412 + (g3^9*t^8.412)/g1 + (g3^9*t^8.412)/g2 + (g3^16*t^8.412)/(g1^2*g2^2) - t^8.512/g1^2 - t^8.512/g2^2 - (4*t^8.512)/(g1*g2) - (g1^3*g2*t^8.512)/g3^14 - (g1^2*g2^2*t^8.512)/g3^14 - (g1*g2^3*t^8.512)/g3^14 - (4*g1*t^8.512)/g3^7 - (g1^2*t^8.512)/(g2*g3^7) - (4*g2*t^8.512)/g3^7 - (g2^2*t^8.512)/(g1*g3^7) - (g3^7*t^8.512)/(g1^2*g2^3) - (g3^7*t^8.512)/(g1^3*g2^2) + (g1^3*t^8.77)/g3 + (g1^2*g2*t^8.77)/g3 + (g1*g2^2*t^8.77)/g3 + (g2^3*t^8.77)/g3 + g3^6*t^8.77 + (g1*g3^6*t^8.77)/g2 + (g2*g3^6*t^8.77)/g1 + (g3^13*t^8.77)/(g1*g2^2) + (g3^13*t^8.77)/(g1^2*g2) + (g3^20*t^8.77)/(g1^3*g2^3) - t^4.077/(g3^2*y) - (g1*t^6.588)/(g3^9*y) - (g2*t^6.588)/(g3^9*y) - t^6.588/(g1*g2*g3^2*y) + (g1*g2*t^7.565)/(g3^2*y) + (g3^5*t^7.565)/(g1*y) + (g3^5*t^7.565)/(g2*y) + (g1*g2*t^8.024)/(g3^14*y) + t^8.024/(g1*g3^7*y) + t^8.024/(g2*g3^7*y) - (t^4.077*y)/g3^2 - (g1*t^6.588*y)/g3^9 - (g2*t^6.588*y)/g3^9 - (t^6.588*y)/(g1*g2*g3^2) + (g1*g2*t^7.565*y)/g3^2 + (g3^5*t^7.565*y)/g1 + (g3^5*t^7.565*y)/g2 + (g1*g2*t^8.024*y)/g3^14 + (t^8.024*y)/(g1*g3^7) + (t^8.024*y)/(g2*g3^7) |
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 |
---|---|---|---|---|---|---|---|---|
46168 | ${}M_{1}\phi_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{4}$ | 0.6621 | 0.7871 | 0.8412 | [M:[1.1646, 1.0, 0.9238, 1.0], q:[0.5381, 0.4619], qb:[0.5381, 0.7912], phi:[0.4177]] | t^2.771 + 2*t^3. + t^3.494 + t^3.759 + 2*t^3.988 + t^4.024 + 2*t^4.253 + 3*t^4.482 + t^5.543 - 2*t^6. - t^4.253/y - t^4.253*y | detail | |
46159 | ${}M_{1}\phi_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}^{2}$ | 0.6697 | 0.7947 | 0.8427 | [M:[1.2067, 0.8882, 0.8882, 1.0], q:[0.6118, 0.5], qb:[0.5, 0.8017], phi:[0.3966]] | 2*t^2.665 + t^3. + t^3.62 + 2*t^3.905 + 3*t^4.19 + t^4.24 + 2*t^4.525 + t^4.861 + 3*t^5.329 - 4*t^6. - t^4.19/y - t^4.19*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 |
---|---|---|---|---|---|---|---|---|---|
45873 | SU2adj1nf2 | ${}M_{1}\phi_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ | 0.7418 | 0.8996 | 0.8246 | [M:[1.1769, 0.7854, 0.7854, 0.7854], q:[0.6073, 0.6073], qb:[0.6073, 0.5318], phi:[0.4116]] | 3*t^2.356 + 3*t^3.417 + t^3.531 + t^4.425 + 3*t^4.652 + 6*t^4.712 + 6*t^4.879 + 6*t^5.773 + 3*t^5.887 - 10*t^6. - t^4.235/y - t^4.235*y | detail |