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 |
|---|---|---|---|---|---|---|---|---|---|
| 46059 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ | 0.6306 | 0.7937 | 0.7946 | [M:[1.1085, 0.7829], q:[0.75, 0.4671], qb:[0.3585, 0.4244], phi:[0.5]] | [M:[[-1], [2]], q:[[0], [-2]], qb:[[-1], [3]], phi:[[0]]] | 1 | {a: 895529/1420032, c: 1127041/1420032, M1: 143/129, M2: 101/129, q1: 3/4, q2: 241/516, qb1: 185/516, qb2: 73/172, phi1: 1/2} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$ | 0 | 2*t^2.349 + t^2.477 + t^3. + 2*t^3.326 + t^3.523 + t^3.651 + t^3.849 + t^3.977 + t^4.047 + t^4.174 + t^4.302 + 3*t^4.698 + 2*t^4.826 + t^4.953 + 2*t^5.349 + t^5.477 + 3*t^5.674 + t^5.802 + t^5.872 + t^6.198 + 2*t^6.326 + 2*t^6.395 + t^6.453 + 2*t^6.523 + 4*t^6.651 + t^6.779 + t^6.849 + t^6.977 + 5*t^7.047 + 3*t^7.174 + 3*t^7.302 + t^7.372 + t^7.43 + t^7.57 + t^7.628 + 3*t^7.698 + t^7.826 + t^7.895 + 2*t^7.953 + 4*t^8.023 + t^8.093 + t^8.151 + 2*t^8.221 + 2*t^8.279 - t^8.349 - t^8.477 + t^8.547 + t^8.605 + t^8.674 + 3*t^8.744 + t^8.802 + 2*t^8.872 + t^8.93 - t^4.5/y - t^6.849/y + t^7.174/y + t^7.698/y + t^7.826/y + t^8.151/y + (2*t^8.349)/y + t^8.477/y + (4*t^8.674)/y + (2*t^8.802)/y + (2*t^8.872)/y - t^4.5*y - t^6.849*y + t^7.174*y + t^7.698*y + t^7.826*y + t^8.151*y + 2*t^8.349*y + t^8.477*y + 4*t^8.674*y + 2*t^8.802*y + 2*t^8.872*y | 2*g1^2*t^2.349 + t^2.477/g1^3 + t^3. + (2*t^3.326)/g1 + g1^3*t^3.523 + t^3.651/g1^2 + g1^2*t^3.849 + t^3.977/g1^3 + g1^6*t^4.047 + g1*t^4.174 + t^4.302/g1^4 + 3*g1^4*t^4.698 + (2*t^4.826)/g1 + t^4.953/g1^6 + 2*g1^2*t^5.349 + t^5.477/g1^3 + 3*g1*t^5.674 + t^5.802/g1^4 + g1^5*t^5.872 + g1^4*t^6.198 + (2*t^6.326)/g1 + 2*g1^8*t^6.395 + t^6.453/g1^6 + 2*g1^3*t^6.523 + (4*t^6.651)/g1^2 + t^6.779/g1^7 + g1^2*t^6.849 + t^6.977/g1^3 + 5*g1^6*t^7.047 + 3*g1*t^7.174 + (3*t^7.302)/g1^4 + g1^5*t^7.372 + t^7.43/g1^9 + g1^9*t^7.57 + t^7.628/g1^5 + 3*g1^4*t^7.698 + t^7.826/g1 + g1^8*t^7.895 + (2*t^7.953)/g1^6 + 4*g1^3*t^8.023 + g1^12*t^8.093 + t^8.151/g1^2 + 2*g1^7*t^8.221 + (2*t^8.279)/g1^7 - g1^2*t^8.349 - t^8.477/g1^3 + g1^6*t^8.547 + t^8.605/g1^8 + g1*t^8.674 + 3*g1^10*t^8.744 + t^8.802/g1^4 + 2*g1^5*t^8.872 + t^8.93/g1^9 - t^4.5/y - (g1^2*t^6.849)/y + (g1*t^7.174)/y + (g1^4*t^7.698)/y + t^7.826/(g1*y) + t^8.151/(g1^2*y) + (2*g1^2*t^8.349)/y + t^8.477/(g1^3*y) + (4*g1*t^8.674)/y + (2*t^8.802)/(g1^4*y) + (2*g1^5*t^8.872)/y - t^4.5*y - g1^2*t^6.849*y + g1*t^7.174*y + g1^4*t^7.698*y + (t^7.826*y)/g1 + (t^8.151*y)/g1^2 + 2*g1^2*t^8.349*y + (t^8.477*y)/g1^3 + 4*g1*t^8.674*y + (2*t^8.802*y)/g1^4 + 2*g1^5*t^8.872*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 |
|---|---|---|---|---|---|---|---|---|
| 46326 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{1}M_{3}$ | 0.6406 | 0.8108 | 0.7901 | [M:[1.1115, 0.777, 0.8885], q:[0.75, 0.473], qb:[0.3615, 0.4156], phi:[0.5]] | 2*t^2.331 + t^2.503 + t^2.666 + t^3. + t^3.334 + t^3.497 + t^3.669 + t^3.831 + t^3.993 + t^4.003 + t^4.166 + t^4.338 + 3*t^4.662 + 2*t^4.834 + 2*t^4.997 + t^5.007 + t^5.169 + 3*t^5.331 + t^5.503 + 2*t^5.666 + t^5.828 + t^6. - t^4.5/y - t^4.5*y | detail | |
| 46249 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ | 0.6296 | 0.7921 | 0.7949 | [M:[1.1, 0.8], q:[0.75, 0.45], qb:[0.35, 0.45], phi:[0.5]] | 3*t^2.4 + t^3. + 2*t^3.3 + 2*t^3.6 + 2*t^3.9 + 3*t^4.2 + 6*t^4.8 + 3*t^5.4 + 4*t^5.7 + t^6. - t^4.5/y - t^4.5*y | detail | {a: 5037/8000, c: 6337/8000, M1: 11/10, M2: 4/5, q1: 3/4, q2: 9/20, qb1: 7/20, qb2: 9/20, phi1: 1/2} |
| 46232 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6515 | 0.8349 | 0.7802 | [M:[1.1089, 0.7822, 0.6732], q:[0.75, 0.4678], qb:[0.3589, 0.4232], phi:[0.5]] | t^2.02 + 2*t^2.346 + t^2.48 + t^3. + 2*t^3.327 + t^3.52 + t^3.654 + t^3.846 + 2*t^4.039 + t^4.173 + t^4.307 + 2*t^4.366 + t^4.5 + 3*t^4.693 + 2*t^4.827 + t^4.961 + t^5.02 + 4*t^5.346 + t^5.48 + t^5.539 + 4*t^5.673 + t^5.807 + 2*t^5.866 - t^4.5/y - t^4.5*y | detail | |
| 46215 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{3}q_{1}q_{2}$ | 0.6483 | 0.8256 | 0.7853 | [M:[1.1122, 0.7757, 0.7757], q:[0.75, 0.4743], qb:[0.3622, 0.4135], phi:[0.5]] | 3*t^2.327 + t^2.509 + t^3. + 2*t^3.336 + t^3.491 + t^3.827 + t^3.981 + t^4.009 + t^4.164 + t^4.346 + 6*t^4.654 + 3*t^4.836 + t^5.019 + 3*t^5.327 + t^5.509 + 5*t^5.664 + 2*t^5.818 + t^5.846 - 2*t^6. - t^4.5/y - t^4.5*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 |
|---|---|---|---|---|---|---|---|---|---|
| 45908 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6359 | 0.8017 | 0.7932 | [M:[1.1522, 0.6956], q:[0.75, 0.4239], qb:[0.4022, 0.4239], phi:[0.5]] | t^2.087 + 2*t^2.478 + t^3. + 2*t^3.457 + 2*t^3.522 + 2*t^3.978 + 3*t^4.043 + t^4.174 + 2*t^4.565 + 3*t^4.957 + t^5.087 + 2*t^5.478 + 2*t^5.543 + 2*t^5.609 + 2*t^5.935 - t^6. - t^4.5/y - t^4.5*y | detail |