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 |
|---|---|---|---|---|---|---|---|---|---|
| 46550 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6454 | 0.8481 | 0.761 | [M:[0.7302, 0.7038, 1.0, 0.7566], q:[0.7566, 0.5132], qb:[0.5396, 0.2434], phi:[0.4868]] | [M:[[3], [7], [0], [-1]], q:[[-1], [-2]], qb:[[-6], [1]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }M_{1}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}^{3}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{2}^{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ | ${}$ | -2 | t^2.111 + t^2.191 + 2*t^2.27 + t^2.349 + 2*t^2.921 + t^3. + t^3.158 + t^3.809 + t^4.223 + t^4.302 + 3*t^4.381 + 3*t^4.46 + 5*t^4.54 + 3*t^4.619 + 2*t^4.698 + 2*t^5.032 + 2*t^5.111 + 4*t^5.191 + 5*t^5.27 + 2*t^5.349 + 2*t^5.428 + t^5.508 + 3*t^5.842 + t^5.921 - 2*t^6. + 2*t^6.079 + t^6.158 + t^6.317 + t^6.334 + t^6.413 + 3*t^6.492 + 3*t^6.572 + 5*t^6.651 + 7*t^6.73 + 8*t^6.809 + 5*t^6.889 + 5*t^6.968 + 2*t^7.047 + 2*t^7.143 + 2*t^7.223 + 5*t^7.302 + 6*t^7.381 + 8*t^7.46 + 8*t^7.54 + 7*t^7.619 + 5*t^7.698 + 2*t^7.777 + 2*t^7.857 + 3*t^7.953 + 2*t^8.032 + t^8.111 + 2*t^8.191 - 5*t^8.27 - 2*t^8.349 + t^8.428 + t^8.445 + 2*t^8.508 + t^8.525 + 2*t^8.587 + 3*t^8.604 + t^8.666 + 3*t^8.683 + 10*t^8.762 + 6*t^8.842 + 2*t^8.921 - t^4.46/y - t^6.572/y - t^6.651/y - t^6.73/y + t^7.302/y + t^7.381/y + (3*t^7.46)/y + (3*t^7.54)/y + (2*t^7.619)/y + (2*t^8.032)/y + (3*t^8.111)/y + (6*t^8.191)/y + (6*t^8.27)/y + (3*t^8.349)/y + (2*t^8.428)/y + t^8.508/y - t^8.683/y - t^8.762/y - t^8.842/y + (2*t^8.921)/y - t^4.46*y - t^6.572*y - t^6.651*y - t^6.73*y + t^7.302*y + t^7.381*y + 3*t^7.46*y + 3*t^7.54*y + 2*t^7.619*y + 2*t^8.032*y + 3*t^8.111*y + 6*t^8.191*y + 6*t^8.27*y + 3*t^8.349*y + 2*t^8.428*y + t^8.508*y - t^8.683*y - t^8.762*y - t^8.842*y + 2*t^8.921*y | g1^7*t^2.111 + g1^3*t^2.191 + (2*t^2.27)/g1 + t^2.349/g1^5 + 2*g1^4*t^2.921 + t^3. + t^3.158/g1^8 + t^3.809/g1^3 + g1^14*t^4.223 + g1^10*t^4.302 + 3*g1^6*t^4.381 + 3*g1^2*t^4.46 + (5*t^4.54)/g1^2 + (3*t^4.619)/g1^6 + (2*t^4.698)/g1^10 + 2*g1^11*t^5.032 + 2*g1^7*t^5.111 + 4*g1^3*t^5.191 + (5*t^5.27)/g1 + (2*t^5.349)/g1^5 + (2*t^5.428)/g1^9 + t^5.508/g1^13 + 3*g1^8*t^5.842 + g1^4*t^5.921 - 2*t^6. + (2*t^6.079)/g1^4 + t^6.158/g1^8 + t^6.317/g1^16 + g1^21*t^6.334 + g1^17*t^6.413 + 3*g1^13*t^6.492 + 3*g1^9*t^6.572 + 5*g1^5*t^6.651 + 7*g1*t^6.73 + (8*t^6.809)/g1^3 + (5*t^6.889)/g1^7 + (5*t^6.968)/g1^11 + (2*t^7.047)/g1^15 + 2*g1^18*t^7.143 + 2*g1^14*t^7.223 + 5*g1^10*t^7.302 + 6*g1^6*t^7.381 + 8*g1^2*t^7.46 + (8*t^7.54)/g1^2 + (7*t^7.619)/g1^6 + (5*t^7.698)/g1^10 + (2*t^7.777)/g1^14 + (2*t^7.857)/g1^18 + 3*g1^15*t^7.953 + 2*g1^11*t^8.032 + g1^7*t^8.111 + 2*g1^3*t^8.191 - (5*t^8.27)/g1 - (2*t^8.349)/g1^5 + t^8.428/g1^9 + g1^28*t^8.445 + (2*t^8.508)/g1^13 + g1^24*t^8.525 + (2*t^8.587)/g1^17 + 3*g1^20*t^8.604 + t^8.666/g1^21 + 3*g1^16*t^8.683 + 10*g1^12*t^8.762 + 6*g1^8*t^8.842 + 2*g1^4*t^8.921 - (g1^2*t^4.46)/y - (g1^9*t^6.572)/y - (g1^5*t^6.651)/y - (g1*t^6.73)/y + (g1^10*t^7.302)/y + (g1^6*t^7.381)/y + (3*g1^2*t^7.46)/y + (3*t^7.54)/(g1^2*y) + (2*t^7.619)/(g1^6*y) + (2*g1^11*t^8.032)/y + (3*g1^7*t^8.111)/y + (6*g1^3*t^8.191)/y + (6*t^8.27)/(g1*y) + (3*t^8.349)/(g1^5*y) + (2*t^8.428)/(g1^9*y) + t^8.508/(g1^13*y) - (g1^16*t^8.683)/y - (g1^12*t^8.762)/y - (g1^8*t^8.842)/y + (2*g1^4*t^8.921)/y - g1^2*t^4.46*y - g1^9*t^6.572*y - g1^5*t^6.651*y - g1*t^6.73*y + g1^10*t^7.302*y + g1^6*t^7.381*y + 3*g1^2*t^7.46*y + (3*t^7.54*y)/g1^2 + (2*t^7.619*y)/g1^6 + 2*g1^11*t^8.032*y + 3*g1^7*t^8.111*y + 6*g1^3*t^8.191*y + (6*t^8.27*y)/g1 + (3*t^8.349*y)/g1^5 + (2*t^8.428*y)/g1^9 + (t^8.508*y)/g1^13 - g1^16*t^8.683*y - g1^12*t^8.762*y - g1^8*t^8.842*y + 2*g1^4*t^8.921*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 |
|---|---|---|---|---|---|---|---|---|
| 48261 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6652 | 0.8849 | 0.7517 | [M:[0.7275, 0.6976, 1.0, 0.7575, 0.7275], q:[0.7575, 0.515], qb:[0.5449, 0.2425], phi:[0.485]] | t^2.093 + 2*t^2.183 + 2*t^2.272 + t^2.362 + 2*t^2.91 + t^3. + t^3.18 + t^4.185 + 2*t^4.275 + 5*t^4.365 + 5*t^4.455 + 6*t^4.545 + 3*t^4.635 + 2*t^4.725 + 2*t^5.003 + 4*t^5.093 + 5*t^5.183 + 5*t^5.272 + 3*t^5.362 + 2*t^5.452 + t^5.542 + 3*t^5.82 - 3*t^6. - t^4.455/y - t^4.455*y | detail | |
| 47149 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.6436 | 0.8457 | 0.761 | [M:[0.7408, 0.7286, 1.0, 0.7531, 1.0122], q:[0.7531, 0.5061], qb:[0.5183, 0.2469], phi:[0.4939]] | t^2.186 + t^2.223 + 2*t^2.259 + t^2.296 + t^2.963 + t^3. + t^3.037 + t^3.073 + t^3.777 + t^4.372 + t^4.408 + 3*t^4.445 + 3*t^4.482 + 5*t^4.518 + 3*t^4.555 + 2*t^4.592 + t^5.149 + t^5.186 + 3*t^5.223 + 5*t^5.259 + 4*t^5.296 + 3*t^5.332 + t^5.369 + t^5.927 - t^6. - t^4.482/y - t^4.482*y | detail | |
| 48197 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{2}X_{1}$ | 0.6169 | 0.7948 | 0.7762 | [X:[1.3846], M:[0.6923, 0.6154, 1.0, 0.7692], q:[0.7692, 0.5385], qb:[0.6154, 0.2308], phi:[0.4615]] | t^2.077 + 2*t^2.308 + t^2.538 + 2*t^2.769 + t^3. + t^3.462 + t^3.923 + 2*t^4.154 + 2*t^4.385 + 5*t^4.615 + 4*t^4.846 + 6*t^5.077 + 4*t^5.308 + 5*t^5.538 + 2*t^5.769 - t^6. - t^4.385/y - t^4.385*y | detail | {a: 21687/35152, c: 6985/8788, X1: 18/13, M1: 9/13, M2: 8/13, M3: 1, M4: 10/13, q1: 10/13, q2: 7/13, qb1: 8/13, qb2: 3/13, phi1: 6/13} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46277 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6266 | 0.8141 | 0.7697 | [M:[0.7289, 0.7009, 1.0], q:[0.757, 0.514], qb:[0.5421, 0.243], phi:[0.486]] | t^2.103 + t^2.187 + t^2.271 + t^2.355 + 2*t^2.916 + t^3. + t^3.169 + t^3.729 + t^3.813 + t^4.205 + t^4.289 + 2*t^4.374 + 2*t^4.458 + 3*t^4.542 + 2*t^4.626 + 2*t^4.711 + 2*t^5.018 + 2*t^5.103 + 2*t^5.187 + 4*t^5.271 + 2*t^5.355 + t^5.44 + t^5.524 + 4*t^5.831 + 2*t^5.916 - t^6. - t^4.458/y - t^4.458*y | detail |