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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | [M:[[36], [-12], [22], [-8], [-12]], q:[[-3], [-33]], qb:[[11], [1]], phi:[[6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}$, ${ }M_{2}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{5}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{5}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$ | ${}$ | -2 | 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^6.12 + t^6.126 + 2*t^6.245 + t^6.251 + t^6.365 + 2*t^6.371 + 3*t^6.491 + 5*t^6.611 + t^6.731 + t^6.856 + t^6.976 + t^6.982 + 2*t^7.102 + t^7.108 + t^7.222 + t^7.227 + t^7.342 + 2*t^7.347 + t^7.467 + 2*t^7.473 + 3*t^7.593 + 3*t^7.713 + 2*t^7.832 + t^7.838 + t^7.958 + t^7.964 - t^8.084 - 2*t^8.204 + t^8.209 + t^8.323 + 3*t^8.329 + t^8.335 + t^8.443 + t^8.449 + 2*t^8.455 + t^8.569 + 3*t^8.575 + t^8.689 + 6*t^8.695 + 3*t^8.814 + t^8.82 + 3*t^8.934 - 3*t^8.94 - t^4.347/y - t^6.431/y - t^6.551/y + t^7.042/y + t^7.407/y - t^7.653/y + t^7.898/y + t^8.018/y + t^8.024/y + (2*t^8.144)/y + t^8.264/y + (2*t^8.389)/y + (2*t^8.509)/y - t^8.515/y + t^8.755/y + t^8.88/y - t^4.347*y - t^6.431*y - t^6.551*y + t^7.042*y + t^7.407*y - t^7.653*y + t^7.898*y + t^8.018*y + t^8.024*y + 2*t^8.144*y + t^8.264*y + 2*t^8.389*y + 2*t^8.509*y - t^8.515*y + t^8.755*y + t^8.88*y | g1^36*t^2.084 + t^2.204/g1^8 + t^2.814/g1^32 + g1^22*t^2.94 + (2*t^3.305)/g1^12 + t^3.551/g1^2 + g1^8*t^3.796 + g1^18*t^4.042 + t^4.162/g1^26 + g1^72*t^4.168 + 2*g1^28*t^4.287 + (2*t^4.407)/g1^16 + t^4.527/g1^60 + g1^4*t^4.898 + t^5.018/g1^40 + g1^58*t^5.024 + g1^14*t^5.144 + 2*g1^24*t^5.389 + (2*t^5.509)/g1^20 + t^5.629/g1^64 + t^5.755/g1^10 + g1^44*t^5.88 - 2*t^6. + t^6.12/g1^44 + g1^54*t^6.126 + 2*g1^10*t^6.245 + g1^108*t^6.251 + t^6.365/g1^34 + 2*g1^64*t^6.371 + 3*g1^20*t^6.491 + (5*t^6.611)/g1^24 + t^6.731/g1^68 + t^6.856/g1^14 + t^6.976/g1^58 + g1^40*t^6.982 + (2*t^7.102)/g1^4 + g1^94*t^7.108 + t^7.222/g1^48 + g1^50*t^7.227 + t^7.342/g1^92 + 2*g1^6*t^7.347 + t^7.467/g1^38 + 2*g1^60*t^7.473 + 3*g1^16*t^7.593 + (3*t^7.713)/g1^28 + (2*t^7.832)/g1^72 + g1^26*t^7.838 + t^7.958/g1^18 + g1^80*t^7.964 - g1^36*t^8.084 - (2*t^8.204)/g1^8 + g1^90*t^8.209 + t^8.323/g1^52 + 3*g1^46*t^8.329 + g1^144*t^8.335 + t^8.443/g1^96 + g1^2*t^8.449 + 2*g1^100*t^8.455 + t^8.569/g1^42 + 3*g1^56*t^8.575 + t^8.689/g1^86 + 6*g1^12*t^8.695 + (3*t^8.814)/g1^32 + g1^66*t^8.82 + (3*t^8.934)/g1^76 - 3*g1^22*t^8.94 - (g1^6*t^4.347)/y - (g1^42*t^6.431)/y - t^6.551/(g1^2*y) + (g1^18*t^7.042)/y + t^7.407/(g1^16*y) - t^7.653/(g1^6*y) + (g1^4*t^7.898)/y + t^8.018/(g1^40*y) + (g1^58*t^8.024)/y + (2*g1^14*t^8.144)/y + t^8.264/(g1^30*y) + (2*g1^24*t^8.389)/y + (2*t^8.509)/(g1^20*y) - (g1^78*t^8.515)/y + t^8.755/(g1^10*y) + (g1^44*t^8.88)/y - g1^6*t^4.347*y - g1^42*t^6.431*y - (t^6.551*y)/g1^2 + g1^18*t^7.042*y + (t^7.407*y)/g1^16 - (t^7.653*y)/g1^6 + g1^4*t^7.898*y + (t^8.018*y)/g1^40 + g1^58*t^8.024*y + 2*g1^14*t^8.144*y + (t^8.264*y)/g1^30 + 2*g1^24*t^8.389*y + (2*t^8.509*y)/g1^20 - g1^78*t^8.515*y + (t^8.755*y)/g1^10 + g1^44*t^8.88*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 |
|---|---|---|---|---|---|---|---|---|
| 2925 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{3}$ | 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]] | 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 - t^4.448/y - t^4.448*y | detail | {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} |
| 2926 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{6}$ | 0.6797 | 0.8443 | 0.8051 | [M:[0.7219, 1.0927, 0.9967, 0.7285, 1.0927, 1.0033], q:[0.7732, 0.5049], qb:[0.4984, 0.4089], phi:[0.4536]] | t^2.166 + t^2.185 + t^2.742 + t^3.01 + 2*t^3.278 + t^3.546 + t^3.815 + t^4.083 + t^4.103 + t^4.331 + 2*t^4.351 + 2*t^4.371 + t^4.391 + t^4.907 + t^4.927 + t^5.176 + t^5.195 + 2*t^5.444 + 2*t^5.464 + t^5.483 + t^5.751 - 2*t^6. - t^4.361/y - t^4.361*y | detail | |
| 2927 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ | 0.6612 | 0.8092 | 0.8171 | [M:[0.6909, 1.103, 0.9778, 0.7354, 1.103, 1.2646], q:[0.7758, 0.5333], qb:[0.4889, 0.4081], phi:[0.4485]] | t^2.073 + t^2.824 + t^2.933 + 2*t^3.309 + t^3.552 + 2*t^3.794 + t^4.036 + t^4.145 + t^4.17 + t^4.279 + t^4.412 + t^4.546 + t^4.897 + t^5.006 + 2*t^5.382 + t^5.649 + 2*t^5.867 - 3*t^6. - t^4.345/y - t^4.345*y | detail | |
| 2928 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.7005 | 0.8817 | 0.7945 | [M:[0.6982, 1.1006, 0.9822, 0.7337, 1.1006, 0.7337], q:[0.7752, 0.5267], qb:[0.4911, 0.4083], phi:[0.4497]] | t^2.095 + 2*t^2.201 + t^2.805 + t^2.947 + 2*t^3.302 + t^3.55 + t^4.047 + t^4.154 + t^4.189 + 3*t^4.296 + 4*t^4.402 + t^4.509 + t^4.899 + 2*t^5.006 + t^5.041 + 2*t^5.148 + 2*t^5.396 + 4*t^5.503 + t^5.61 + 2*t^5.752 - 3*t^6. - t^4.349/y - t^4.349*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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 552 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.6823 | 0.8482 | 0.8043 | [M:[0.6974, 1.1009, 1.0043, 0.6888, 1.1009], q:[0.7752, 0.5274], qb:[0.4683, 0.4308], phi:[0.4496]] | t^2.066 + t^2.092 + t^2.875 + t^3.013 + 2*t^3.303 + t^3.618 + t^3.731 + t^4.046 + t^4.133 + 2*t^4.159 + t^4.184 + t^4.223 + t^4.336 + t^4.513 + t^4.941 + t^4.967 + t^5.079 + t^5.105 + 2*t^5.369 + 2*t^5.395 + t^5.685 + t^5.749 + t^5.797 - 3*t^6. - t^4.349/y - t^4.349*y | detail |