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 |
---|---|---|---|---|---|---|---|---|---|
4735 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{7}$ | 0.5991 | 0.7509 | 0.7979 | [M:[0.8571, 0.9714, 1.0857, 0.7429, 1.2571, 0.9143, 1.0286], q:[0.6571, 0.4857], qb:[0.2571, 0.7714], phi:[0.4571]] | [M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 411009/686000, c: 257567/343000, M1: 6/7, M2: 34/35, M3: 38/35, M4: 26/35, M5: 44/35, M6: 32/35, M7: 36/35, q1: 23/35, q2: 17/35, qb1: 9/35, qb2: 27/35, phi1: 16/35} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{1}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ | ${}$ | -1 | t^2.229 + t^2.571 + 2*t^2.743 + t^2.914 + t^3.086 + t^3.6 + t^3.771 + t^4.114 + 2*t^4.286 + t^4.457 + t^4.8 + 2*t^4.971 + 2*t^5.143 + 3*t^5.314 + 3*t^5.486 + 3*t^5.657 + 3*t^5.829 - t^6. + 2*t^6.343 + 2*t^6.514 + t^6.686 + 2*t^6.857 + 4*t^7.029 + 3*t^7.2 + t^7.371 + t^7.543 + 3*t^7.714 + 5*t^7.886 + 7*t^8.057 + 4*t^8.229 + 4*t^8.4 + 4*t^8.571 - 2*t^8.743 - 3*t^8.914 - t^4.371/y - t^6.943/y - t^7.114/y + t^7.629/y + (2*t^7.8)/y + (2*t^7.971)/y + t^8.143/y + (3*t^8.314)/y + (2*t^8.486)/y + (3*t^8.657)/y + (3*t^8.829)/y - t^4.371*y - t^6.943*y - t^7.114*y + t^7.629*y + 2*t^7.8*y + 2*t^7.971*y + t^8.143*y + 3*t^8.314*y + 2*t^8.486*y + 3*t^8.657*y + 3*t^8.829*y | t^2.229 + t^2.571 + 2*t^2.743 + t^2.914 + t^3.086 + t^3.6 + t^3.771 + t^4.114 + 2*t^4.286 + t^4.457 + t^4.8 + 2*t^4.971 + 2*t^5.143 + 3*t^5.314 + 3*t^5.486 + 3*t^5.657 + 3*t^5.829 - t^6. + 2*t^6.343 + 2*t^6.514 + t^6.686 + 2*t^6.857 + 4*t^7.029 + 3*t^7.2 + t^7.371 + t^7.543 + 3*t^7.714 + 5*t^7.886 + 7*t^8.057 + 4*t^8.229 + 4*t^8.4 + 4*t^8.571 - 2*t^8.743 - 3*t^8.914 - t^4.371/y - t^6.943/y - t^7.114/y + t^7.629/y + (2*t^7.8)/y + (2*t^7.971)/y + t^8.143/y + (3*t^8.314)/y + (2*t^8.486)/y + (3*t^8.657)/y + (3*t^8.829)/y - t^4.371*y - t^6.943*y - t^7.114*y + t^7.629*y + 2*t^7.8*y + 2*t^7.971*y + t^8.143*y + 3*t^8.314*y + 2*t^8.486*y + 3*t^8.657*y + 3*t^8.829*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 |
---|---|---|---|---|---|---|---|---|
6321 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{1}M_{8}$ | 0.5866 | 0.7294 | 0.8042 | [M:[0.8571, 0.9714, 1.0857, 0.7429, 1.2571, 0.9143, 1.0286, 1.1429], q:[0.6571, 0.4857], qb:[0.2571, 0.7714], phi:[0.4571]] | t^2.229 + 2*t^2.743 + t^2.914 + t^3.086 + t^3.429 + t^3.6 + t^3.771 + t^4.114 + 2*t^4.286 + t^4.457 + 2*t^4.971 + t^5.143 + t^5.314 + 2*t^5.486 + 3*t^5.657 + 3*t^5.829 - t^6. - t^4.371/y - t^4.371*y | detail | {a: 25149/42875, c: 31274/42875, M1: 6/7, M2: 34/35, M3: 38/35, M4: 26/35, M5: 44/35, M6: 32/35, M7: 36/35, M8: 8/7, q1: 23/35, q2: 17/35, qb1: 9/35, qb2: 27/35, phi1: 16/35} |
6322 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{2}M_{8}$ | 0.5965 | 0.7465 | 0.7991 | [M:[0.8571, 0.9714, 1.0857, 0.7429, 1.2571, 0.9143, 1.0286, 1.0286], q:[0.6571, 0.4857], qb:[0.2571, 0.7714], phi:[0.4571]] | t^2.229 + t^2.571 + 2*t^2.743 + 2*t^3.086 + t^3.6 + t^3.771 + t^4.114 + 2*t^4.286 + t^4.457 + t^4.8 + 2*t^4.971 + t^5.143 + 4*t^5.314 + 2*t^5.486 + 2*t^5.657 + 4*t^5.829 - 2*t^6. - t^4.371/y - t^4.371*y | detail | {a: 51147/85750, c: 128019/171500, M1: 6/7, M2: 34/35, M3: 38/35, M4: 26/35, M5: 44/35, M6: 32/35, M7: 36/35, M8: 36/35, q1: 23/35, q2: 17/35, qb1: 9/35, qb2: 27/35, phi1: 16/35} |
6324 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{5}M_{8}$ | 0.6185 | 0.7863 | 0.7865 | [M:[0.8571, 0.9714, 1.0857, 0.7429, 1.2571, 0.9143, 1.0286, 0.7429], q:[0.6571, 0.4857], qb:[0.2571, 0.7714], phi:[0.4571]] | 2*t^2.229 + t^2.571 + 2*t^2.743 + t^2.914 + t^3.086 + t^3.6 + t^4.114 + 2*t^4.286 + 3*t^4.457 + 2*t^4.8 + 4*t^4.971 + 3*t^5.143 + 4*t^5.314 + 3*t^5.486 + 3*t^5.657 + 4*t^5.829 - 2*t^6. - t^4.371/y - t^4.371*y | detail | {a: 212133/343000, c: 67427/85750, M1: 6/7, M2: 34/35, M3: 38/35, M4: 26/35, M5: 44/35, M6: 32/35, M7: 36/35, M8: 26/35, q1: 23/35, q2: 17/35, qb1: 9/35, qb2: 27/35, phi1: 16/35} |
6323 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{7}M_{8}$ | 0.6018 | 0.7554 | 0.7967 | [M:[0.8571, 0.9714, 1.0857, 0.7429, 1.2571, 0.9143, 1.0286, 0.9714], q:[0.6571, 0.4857], qb:[0.2571, 0.7714], phi:[0.4571]] | t^2.229 + t^2.571 + 2*t^2.743 + 2*t^2.914 + t^3.6 + t^3.771 + t^4.114 + 2*t^4.286 + t^4.457 + t^4.8 + 2*t^4.971 + 3*t^5.143 + 2*t^5.314 + 4*t^5.486 + 4*t^5.657 + 3*t^5.829 - 2*t^6. - t^4.371/y - t^4.371*y | detail | {a: 206421/343000, c: 32387/42875, M1: 6/7, M2: 34/35, M3: 38/35, M4: 26/35, M5: 44/35, M6: 32/35, M7: 36/35, M8: 34/35, q1: 23/35, q2: 17/35, qb1: 9/35, qb2: 27/35, phi1: 16/35} |
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 |
---|---|---|---|---|---|---|---|---|---|
2619 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6748 | 0.8495 | 0.7943 | [M:[1.0773, 0.8099, 1.0564, 0.8309, 1.1691, 0.9436, 0.6762], q:[0.5177, 0.405], qb:[0.426, 0.7641], phi:[0.4718]] | t^2.029 + t^2.43 + t^2.493 + 2*t^2.831 + t^3.232 + t^3.507 + 2*t^3.845 + t^3.908 + t^4.057 + t^4.183 + t^4.246 + t^4.459 + 2*t^4.522 + 3*t^4.86 + t^4.923 + t^4.986 + 3*t^5.261 + 2*t^5.324 + t^5.536 + 3*t^5.662 + 2*t^5.874 + t^5.937 - 2*t^6. - t^4.415/y - t^4.415*y | detail |