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 |
|---|---|---|---|---|---|---|---|---|---|
| 5176 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6315 | 0.7888 | 0.8005 | [M:[0.8966, 1.0345, 1.1034, 0.6897, 1.0345, 1.3103, 0.8276], q:[0.7586, 0.3448], qb:[0.5517, 0.4138], phi:[0.4828]] | [M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 246417/390224, c: 153905/195112, M1: 26/29, M2: 30/29, M3: 32/29, M4: 20/29, M5: 30/29, M6: 38/29, M7: 24/29, 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 |
|---|---|---|---|---|
| ${}q_{2}\tilde{q}_{2}$, ${ }M_{7}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{7}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{7}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | ${}M_{7}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | 0 | t^2.276 + t^2.483 + t^2.69 + 2*t^3.103 + t^3.31 + t^3.517 + t^3.724 + 2*t^3.931 + t^4.138 + t^4.345 + t^4.552 + 2*t^4.759 + 2*t^4.966 + t^5.172 + 2*t^5.379 + 2*t^5.586 + 3*t^5.793 + 4*t^6.207 + 3*t^6.414 + 3*t^6.621 + 3*t^6.828 + 4*t^7.034 + 4*t^7.241 + 4*t^7.448 + 4*t^7.655 + 4*t^7.862 + 4*t^8.069 + 3*t^8.276 + 2*t^8.483 + 3*t^8.69 + 4*t^8.897 - t^4.448/y - t^6.931/y + t^7.345/y - t^7.552/y + t^7.759/y + (2*t^7.966)/y + t^8.172/y + (2*t^8.379)/y + (3*t^8.586)/y + (4*t^8.793)/y - t^4.448*y - t^6.931*y + t^7.345*y - t^7.552*y + t^7.759*y + 2*t^7.966*y + t^8.172*y + 2*t^8.379*y + 3*t^8.586*y + 4*t^8.793*y | t^2.276 + t^2.483 + t^2.69 + 2*t^3.103 + t^3.31 + t^3.517 + t^3.724 + 2*t^3.931 + t^4.138 + t^4.345 + t^4.552 + 2*t^4.759 + 2*t^4.966 + t^5.172 + 2*t^5.379 + 2*t^5.586 + 3*t^5.793 + 4*t^6.207 + 3*t^6.414 + 3*t^6.621 + 3*t^6.828 + 4*t^7.034 + 4*t^7.241 + 4*t^7.448 + 4*t^7.655 + 4*t^7.862 + 4*t^8.069 + 3*t^8.276 + 2*t^8.483 + 3*t^8.69 + 4*t^8.897 - t^4.448/y - t^6.931/y + t^7.345/y - t^7.552/y + t^7.759/y + (2*t^7.966)/y + t^8.172/y + (2*t^8.379)/y + (3*t^8.586)/y + (4*t^8.793)/y - t^4.448*y - t^6.931*y + t^7.345*y - t^7.552*y + t^7.759*y + 2*t^7.966*y + t^8.172*y + 2*t^8.379*y + 3*t^8.586*y + 4*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 |
|---|---|---|---|---|---|---|---|---|
| 6729 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{3}M_{8}$ | 0.6409 | 0.8047 | 0.7964 | [M:[0.8966, 1.0345, 1.1034, 0.6897, 1.0345, 1.3103, 0.8276, 0.8966], q:[0.7586, 0.3448], qb:[0.5517, 0.4138], phi:[0.4828]] | t^2.276 + t^2.483 + 2*t^2.69 + 2*t^3.103 + t^3.517 + t^3.724 + 2*t^3.931 + t^4.138 + t^4.345 + t^4.552 + 2*t^4.759 + 3*t^4.966 + 2*t^5.172 + 4*t^5.379 + t^5.586 + 4*t^5.793 - t^6. - t^4.448/y - t^4.448*y | detail | {a: 15630/24389, c: 78499/97556, M1: 26/29, M2: 30/29, M3: 32/29, M4: 20/29, M5: 30/29, M6: 38/29, M7: 24/29, M8: 26/29, q1: 22/29, q2: 10/29, qb1: 16/29, qb2: 12/29, phi1: 14/29} |
| 6731 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6501 | 0.8226 | 0.7904 | [M:[0.8966, 1.0345, 1.1034, 0.6897, 1.0345, 1.3103, 0.8276, 0.7586], q:[0.7586, 0.3448], qb:[0.5517, 0.4138], phi:[0.4828]] | 2*t^2.276 + t^2.483 + t^2.69 + 2*t^3.103 + t^3.31 + t^3.517 + 2*t^3.931 + t^4.138 + t^4.345 + 3*t^4.552 + 3*t^4.759 + 3*t^4.966 + t^5.172 + 4*t^5.379 + 3*t^5.586 + 4*t^5.793 - t^6. - t^4.448/y - t^4.448*y | detail | {a: 31713/48778, c: 40123/48778, M1: 26/29, M2: 30/29, M3: 32/29, M4: 20/29, M5: 30/29, M6: 38/29, M7: 24/29, M8: 22/29, q1: 22/29, q2: 10/29, qb1: 16/29, qb2: 12/29, phi1: 14/29} |
| 6730 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ | 0.6462 | 0.8143 | 0.7936 | [M:[0.8966, 1.0345, 1.1034, 0.6897, 1.0345, 1.3103, 0.8276, 0.8276], q:[0.7586, 0.3448], qb:[0.5517, 0.4138], phi:[0.4828]] | t^2.276 + 2*t^2.483 + t^2.69 + 2*t^3.103 + t^3.31 + t^3.724 + 2*t^3.931 + t^4.138 + t^4.345 + t^4.552 + 3*t^4.759 + 4*t^4.966 + 2*t^5.172 + 2*t^5.379 + 4*t^5.586 + 3*t^5.793 - t^6. - t^4.448/y - t^4.448*y | detail | {a: 126081/195112, c: 19860/24389, M1: 26/29, M2: 30/29, M3: 32/29, M4: 20/29, M5: 30/29, M6: 38/29, M7: 24/29, M8: 24/29, 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 |
|---|
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 3509 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}M_{6}$ | 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} |