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 |
|---|---|---|---|---|---|---|---|---|---|
| 46140 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}^{2}$ | 0.7077 | 0.8618 | 0.8212 | [M:[1.0, 0.8615, 1.0, 1.0], q:[0.5, 0.5], qb:[0.6385, 0.5], phi:[0.4654]] | [M:[[0, 1], [-4, 0], [0, -1], [0, 0]], q:[[0, 0], [0, -1]], qb:[[4, 0], [0, 1]], phi:[[-1, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{3}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$ | ${}M_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ | -2 | t^2.584 + t^2.792 + 3*t^3. + 2*t^3.416 + 6*t^4.396 + 3*t^4.812 + t^5.169 + t^5.227 + t^5.377 + t^5.584 + 3*t^5.792 - 2*t^6. + 2*t^6.208 + 2*t^6.416 + 3*t^6.831 + 3*t^6.981 + 6*t^7.188 + 9*t^7.396 - 3*t^7.604 + t^7.753 + 10*t^7.812 + t^7.961 - 2*t^8.019 + 2*t^8.169 + 6*t^8.227 + t^8.377 - t^8.435 - 4*t^8.584 + 2*t^8.643 + 13*t^8.792 - t^4.396/y - t^6.981/y - t^7.188/y + t^7.604/y + t^7.812/y + t^8.377/y + (3*t^8.584)/y + (3*t^8.792)/y - t^4.396*y - t^6.981*y - t^7.188*y + t^7.604*y + t^7.812*y + t^8.377*y + 3*t^8.584*y + 3*t^8.792*y | t^2.584/g1^4 + t^2.792/g1^2 + t^3. + t^3./g2 + g2*t^3. + (g1^4*t^3.416)/g2 + g1^4*g2*t^3.416 + (2*t^4.396)/g1 + t^4.396/(g1*g2^2) + t^4.396/(g1*g2) + (g2*t^4.396)/g1 + (g2^2*t^4.396)/g1 + g1^3*t^4.812 + (g1^3*t^4.812)/g2 + g1^3*g2*t^4.812 + t^5.169/g1^8 + g1^7*t^5.227 + t^5.377/g1^6 + t^5.584/g1^4 + t^5.792/g1^2 + t^5.792/(g1^2*g2) + (g2*t^5.792)/g1^2 - 2*t^6. + (g1^2*t^6.208)/g2 + g1^2*g2*t^6.208 + (g1^4*t^6.416)/g2^2 + g1^4*g2^2*t^6.416 + g1^8*t^6.831 + (g1^8*t^6.831)/g2^2 + g1^8*g2^2*t^6.831 + t^6.981/g1^5 + t^6.981/(g1^5*g2^2) + (g2^2*t^6.981)/g1^5 + (2*t^7.188)/g1^3 + t^7.188/(g1^3*g2^2) + t^7.188/(g1^3*g2) + (g2*t^7.188)/g1^3 + (g2^2*t^7.188)/g1^3 + t^7.396/g1 + t^7.396/(g1*g2^3) + t^7.396/(g1*g2^2) + (2*t^7.396)/(g1*g2) + (2*g2*t^7.396)/g1 + (g2^2*t^7.396)/g1 + (g2^3*t^7.396)/g1 - g1*t^7.604 - (g1*t^7.604)/g2^2 - g1*g2^2*t^7.604 + t^7.753/g1^12 + 2*g1^3*t^7.812 + (g1^3*t^7.812)/g2^3 + (g1^3*t^7.812)/g2^2 + (2*g1^3*t^7.812)/g2 + 2*g1^3*g2*t^7.812 + g1^3*g2^2*t^7.812 + g1^3*g2^3*t^7.812 + t^7.961/g1^10 - (g1^5*t^8.019)/g2 - g1^5*g2*t^8.019 + (2*t^8.169)/g1^8 + 2*g1^7*t^8.227 + (g1^7*t^8.227)/g2^2 + (g1^7*t^8.227)/g2 + g1^7*g2*t^8.227 + g1^7*g2^2*t^8.227 + t^8.377/g1^6 - g1^9*t^8.435 - (2*t^8.584)/g1^4 - t^8.584/(g1^4*g2^2) - (g2^2*t^8.584)/g1^4 + (g1^11*t^8.643)/g2 + g1^11*g2*t^8.643 + t^8.792/g1^2 + t^8.792/(g1^2*g2^4) + t^8.792/(g1^2*g2^3) + (2*t^8.792)/(g1^2*g2^2) + (2*t^8.792)/(g1^2*g2) + (2*g2*t^8.792)/g1^2 + (2*g2^2*t^8.792)/g1^2 + (g2^3*t^8.792)/g1^2 + (g2^4*t^8.792)/g1^2 - t^4.396/(g1*y) - t^6.981/(g1^5*y) - t^7.188/(g1^3*y) + (g1*t^7.604)/y + (g1^3*t^7.812)/y + t^8.377/(g1^6*y) + t^8.584/(g1^4*y) + t^8.584/(g1^4*g2*y) + (g2*t^8.584)/(g1^4*y) + t^8.792/(g1^2*y) + t^8.792/(g1^2*g2*y) + (g2*t^8.792)/(g1^2*y) - (t^4.396*y)/g1 - (t^6.981*y)/g1^5 - (t^7.188*y)/g1^3 + g1*t^7.604*y + g1^3*t^7.812*y + (t^8.377*y)/g1^6 + (t^8.584*y)/g1^4 + (t^8.584*y)/(g1^4*g2) + (g2*t^8.584*y)/g1^4 + (t^8.792*y)/g1^2 + (t^8.792*y)/(g1^2*g2) + (g2*t^8.792*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 46348 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ | 0.7023 | 0.8571 | 0.8194 | [M:[1.0459, 0.9082, 0.9541, 1.0], q:[0.5, 0.4541], qb:[0.5918, 0.5459], phi:[0.477]] | t^2.724 + 2*t^2.862 + t^3. + 2*t^3.138 + t^3.413 + t^4.156 + t^4.293 + 2*t^4.431 + 2*t^4.569 + 2*t^4.707 + t^4.844 + t^4.982 + t^5.449 + t^5.587 + 2*t^5.724 + t^5.862 + t^6. - t^4.431/y - t^4.431*y | detail | |
| 46663 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.7019 | 0.853 | 0.8229 | [M:[1.0, 0.8892, 1.0, 1.0, 1.0554], q:[0.5, 0.5], qb:[0.6108, 0.5], phi:[0.4723]] | t^2.668 + 3*t^3. + t^3.166 + 2*t^3.332 + 6*t^4.417 + 3*t^4.749 + t^5.082 + t^5.335 + t^5.834 - 2*t^6. - t^4.417/y - t^4.417*y | detail | |
| 46591 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.5908 | 0.7459 | 0.7921 | [M:[0.7408, 0.9267, 1.2592, 1.0], q:[0.5, 0.7592], qb:[0.5733, 0.2408], phi:[0.4817]] | t^2.223 + t^2.442 + t^2.78 + 2*t^2.89 + t^3. + t^3.668 + t^3.777 + t^3.887 + t^3.997 + 2*t^4.445 + 2*t^4.665 + 2*t^4.885 + 2*t^5.113 + t^5.223 + 2*t^5.332 + t^5.442 + t^5.56 + 2*t^5.67 + 3*t^5.78 + 2*t^5.89 - 2*t^6. - t^4.445/y - t^4.445*y | detail | |
| 46627 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ | 0.691 | 0.8427 | 0.8199 | [M:[1.0, 0.7143, 1.0, 1.0], q:[0.5, 0.5], qb:[0.7857, 0.5], phi:[0.4286]] | t^2.143 + t^2.571 + 3*t^3. + 2*t^3.857 + 7*t^4.286 + t^4.714 + 4*t^5.143 + 3*t^5.571 - t^6. - t^4.286/y - t^4.286*y | detail | {a: 237/343, c: 4625/5488, M1: 1, M2: 5/7, M3: 1, M4: 1, q1: 1/2, q2: 1/2, qb1: 11/14, qb2: 1/2, phi1: 3/7} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46032 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ | 0.7126 | 0.866 | 0.8228 | [M:[1.0, 0.9022, 1.0, 0.9171], q:[0.4586, 0.5414], qb:[0.6393, 0.5414], phi:[0.4548]] | t^2.706 + t^2.729 + t^2.751 + 2*t^3. + 2*t^3.542 + t^4.116 + 2*t^4.364 + 3*t^4.613 + t^4.658 + 2*t^4.907 + t^5.2 + t^5.413 + t^5.435 + t^5.458 + t^5.48 + t^5.503 + 2*t^5.729 - 3*t^6. - t^4.364/y - t^4.364*y | detail |