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 |
---|---|---|---|---|---|---|---|---|---|
2925 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ | 0.6374 | 0.8034 | 0.7934 | [M:[0.8966, 1.0345, 1.1034, 0.6897, 1.0345], q:[0.7586, 0.3448], qb:[0.5517, 0.4138], phi:[0.4828]] | [M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 248745/390224, c: 156751/195112, M1: 26/29, M2: 30/29, M3: 32/29, M4: 20/29, M5: 30/29, q1: 22/29, q2: 10/29, qb1: 16/29, qb2: 12/29, phi1: 14/29} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{5}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | ${}\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | 0 | t^2.069 + t^2.276 + t^2.69 + 2*t^3.103 + t^3.31 + 2*t^3.517 + t^3.724 + t^3.931 + 2*t^4.138 + 2*t^4.345 + t^4.552 + 2*t^4.759 + t^4.966 + 2*t^5.172 + 3*t^5.379 + 2*t^5.586 + 4*t^5.793 + 5*t^6.207 + 3*t^6.414 + 4*t^6.621 + 5*t^6.828 + 4*t^7.034 + 4*t^7.241 + 5*t^7.448 + 5*t^7.655 + 5*t^7.862 + 2*t^8.069 + 5*t^8.276 + 5*t^8.483 + 2*t^8.69 + 7*t^8.897 - t^4.448/y - t^6.517/y + (2*t^7.345)/y - t^7.552/y + t^7.759/y + t^7.966/y + (2*t^8.172)/y + (4*t^8.379)/y + (2*t^8.586)/y + (5*t^8.793)/y - t^4.448*y - t^6.517*y + 2*t^7.345*y - t^7.552*y + t^7.759*y + t^7.966*y + 2*t^8.172*y + 4*t^8.379*y + 2*t^8.586*y + 5*t^8.793*y | t^2.069 + t^2.276 + t^2.69 + 2*t^3.103 + t^3.31 + 2*t^3.517 + t^3.724 + t^3.931 + 2*t^4.138 + 2*t^4.345 + t^4.552 + 2*t^4.759 + t^4.966 + 2*t^5.172 + 3*t^5.379 + 2*t^5.586 + 4*t^5.793 + 5*t^6.207 + 3*t^6.414 + 4*t^6.621 + 5*t^6.828 + 4*t^7.034 + 4*t^7.241 + 5*t^7.448 + 5*t^7.655 + 5*t^7.862 + 2*t^8.069 + 5*t^8.276 + 5*t^8.483 + 2*t^8.69 + 7*t^8.897 - t^4.448/y - t^6.517/y + (2*t^7.345)/y - t^7.552/y + t^7.759/y + t^7.966/y + (2*t^8.172)/y + (4*t^8.379)/y + (2*t^8.586)/y + (5*t^8.793)/y - t^4.448*y - t^6.517*y + 2*t^7.345*y - t^7.552*y + t^7.759*y + t^7.966*y + 2*t^8.172*y + 4*t^8.379*y + 2*t^8.586*y + 5*t^8.793*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 |
---|---|---|---|---|---|---|---|---|
3511 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ + ${ }M_{1}M_{6}$ | 0.6281 | 0.7875 | 0.7975 | [M:[0.8966, 1.0345, 1.1034, 0.6897, 1.0345, 1.1034], q:[0.7586, 0.3448], qb:[0.5517, 0.4138], phi:[0.4828]] | t^2.069 + t^2.276 + 2*t^3.103 + 2*t^3.31 + 2*t^3.517 + t^3.724 + t^3.931 + 2*t^4.138 + 2*t^4.345 + t^4.552 + t^4.759 + 2*t^5.172 + 3*t^5.379 + 3*t^5.586 + 2*t^5.793 - t^6. - t^4.448/y - t^4.448*y | detail | {a: 122541/195112, c: 76829/97556, M1: 26/29, M2: 30/29, M3: 32/29, M4: 20/29, M5: 30/29, M6: 32/29, q1: 22/29, q2: 10/29, qb1: 16/29, qb2: 12/29, phi1: 14/29} |
3514 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{6}$ | 0.6468 | 0.8192 | 0.7895 | [M:[0.8966, 1.0345, 1.1034, 0.6897, 1.0345, 0.8966], q:[0.7586, 0.3448], qb:[0.5517, 0.4138], phi:[0.4828]] | t^2.069 + t^2.276 + 2*t^2.69 + 2*t^3.103 + 2*t^3.517 + t^3.724 + t^3.931 + 2*t^4.138 + 2*t^4.345 + t^4.552 + 3*t^4.759 + 2*t^4.966 + 2*t^5.172 + 4*t^5.379 + t^5.586 + 6*t^5.793 - t^6. - t^4.448/y - t^4.448*y | detail | {a: 31551/48778, c: 39961/48778, M1: 26/29, M2: 30/29, M3: 32/29, M4: 20/29, M5: 30/29, M6: 26/29, q1: 22/29, q2: 10/29, qb1: 16/29, qb2: 12/29, phi1: 14/29} |
3509 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}M_{6}$ | 0.6168 | 0.7633 | 0.808 | [M:[0.8966, 1.0345, 1.1034, 0.6897, 1.0345, 1.3103], q:[0.7586, 0.3448], qb:[0.5517, 0.4138], phi:[0.4828]] | t^2.276 + t^2.69 + 2*t^3.103 + t^3.31 + 2*t^3.517 + t^3.724 + 2*t^3.931 + t^4.138 + t^4.345 + t^4.552 + t^4.759 + t^4.966 + 2*t^5.379 + 3*t^5.793 - t^6. - t^4.448/y - t^4.448*y | detail | {a: 15042/24389, c: 74465/97556, M1: 26/29, M2: 30/29, M3: 32/29, M4: 20/29, M5: 30/29, M6: 38/29, q1: 22/29, q2: 10/29, qb1: 16/29, qb2: 12/29, phi1: 14/29} |
3513 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6561 | 0.8371 | 0.7837 | [M:[0.8966, 1.0345, 1.1034, 0.6897, 1.0345, 0.7586], q:[0.7586, 0.3448], qb:[0.5517, 0.4138], phi:[0.4828]] | t^2.069 + 2*t^2.276 + t^2.69 + 2*t^3.103 + t^3.31 + 2*t^3.517 + t^3.931 + 2*t^4.138 + 3*t^4.345 + 3*t^4.552 + 2*t^4.759 + 2*t^4.966 + 2*t^5.172 + 5*t^5.379 + 3*t^5.586 + 5*t^5.793 - t^6. - t^4.448/y - t^4.448*y | detail | {a: 16002/24389, c: 81669/97556, M1: 26/29, M2: 30/29, M3: 32/29, M4: 20/29, M5: 30/29, M6: 22/29, q1: 22/29, q2: 10/29, qb1: 16/29, qb2: 12/29, phi1: 14/29} |
3512 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6522 | 0.8289 | 0.7868 | [M:[0.8966, 1.0345, 1.1034, 0.6897, 1.0345, 0.8276], q:[0.7586, 0.3448], qb:[0.5517, 0.4138], phi:[0.4828]] | t^2.069 + t^2.276 + t^2.483 + t^2.69 + 2*t^3.103 + t^3.31 + t^3.517 + t^3.724 + t^3.931 + 2*t^4.138 + 2*t^4.345 + 2*t^4.552 + 3*t^4.759 + 2*t^4.966 + 3*t^5.172 + 3*t^5.379 + 3*t^5.586 + 4*t^5.793 + t^6. - t^4.448/y - t^4.448*y | detail | {a: 127245/195112, c: 80863/97556, M1: 26/29, M2: 30/29, M3: 32/29, M4: 20/29, M5: 30/29, M6: 24/29, q1: 22/29, q2: 10/29, qb1: 16/29, qb2: 12/29, phi1: 14/29} |
3515 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.6581 | 0.8435 | 0.7803 | [M:[0.8966, 1.0345, 1.1034, 0.6897, 1.0345, 0.6897], q:[0.7586, 0.3448], qb:[0.5517, 0.4138], phi:[0.4828]] | 2*t^2.069 + t^2.276 + t^2.69 + 2*t^3.103 + t^3.31 + 2*t^3.517 + t^3.724 + 4*t^4.138 + 3*t^4.345 + t^4.552 + 3*t^4.759 + t^4.966 + 4*t^5.172 + 4*t^5.379 + 4*t^5.586 + 5*t^5.793 - t^6. - t^4.448/y - t^4.448*y | detail | {a: 128409/195112, c: 41143/48778, M1: 26/29, M2: 30/29, M3: 32/29, M4: 20/29, M5: 30/29, M6: 20/29, q1: 22/29, q2: 10/29, qb1: 16/29, qb2: 12/29, phi1: 14/29} |
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 |
---|---|---|---|---|---|---|---|---|---|
1901 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ | 0.6808 | 0.8454 | 0.8054 | [M:[0.6946, 1.1018, 0.98, 0.7345, 1.1018], q:[0.7755, 0.53], qb:[0.49, 0.4082], phi:[0.4491]] | t^2.084 + t^2.204 + t^2.814 + t^2.94 + 2*t^3.305 + t^3.551 + t^3.796 + t^4.042 + t^4.162 + t^4.168 + 2*t^4.287 + 2*t^4.407 + t^4.527 + t^4.898 + t^5.018 + t^5.024 + t^5.144 + 2*t^5.389 + 2*t^5.509 + t^5.629 + t^5.755 + t^5.88 - 2*t^6. - t^4.347/y - t^4.347*y | detail |