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 |
|---|---|---|---|---|---|---|---|---|---|
| 46785 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ | 0.5719 | 0.7171 | 0.7975 | [M:[0.912, 1.088, 1.0, 0.7359], q:[0.6179, 0.4701], qb:[0.294, 0.9701], phi:[0.412]] | [M:[[-2], [2], [0], [-6]], q:[[-3], [5]], qb:[[1], [5]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$ | 0 | t^2.208 + t^2.292 + t^2.472 + t^2.736 + t^3. + t^3.264 + t^3.528 + t^4.057 + t^4.321 + t^4.415 + t^4.5 + t^4.585 + t^4.679 + 2*t^4.764 + 2*t^4.943 + t^5.028 + t^5.208 + t^5.292 + 2*t^5.472 + t^5.557 + 2*t^5.736 + t^5.821 + t^6.264 + t^6.349 - t^6.443 + 2*t^6.528 + t^6.613 + t^6.623 + 2*t^6.792 + t^6.877 + t^6.887 + t^6.972 + 2*t^7.057 + 2*t^7.151 + t^7.236 + 2*t^7.321 + 2*t^7.415 + 2*t^7.585 + 2*t^7.679 + t^7.764 + t^7.849 + 2*t^7.943 + t^8.028 + 2*t^8.113 - t^8.292 + t^8.377 + 2*t^8.641 - t^8.651 - t^8.736 + 2*t^8.821 + t^8.83 + t^8.905 - t^4.236/y - t^6.443/y - t^6.708/y + t^7.5/y + t^7.679/y + (2*t^7.764)/y + t^7.943/y + (2*t^8.028)/y + (2*t^8.208)/y + t^8.292/y + (2*t^8.472)/y + t^8.557/y - t^8.651/y + (3*t^8.736)/y + t^8.821/y - t^8.915/y - t^4.236*y - t^6.443*y - t^6.708*y + t^7.5*y + t^7.679*y + 2*t^7.764*y + t^7.943*y + 2*t^8.028*y + 2*t^8.208*y + t^8.292*y + 2*t^8.472*y + t^8.557*y - t^8.651*y + 3*t^8.736*y + t^8.821*y - t^8.915*y | t^2.208/g1^6 + g1^6*t^2.292 + t^2.472/g1^4 + t^2.736/g1^2 + t^3. + g1^2*t^3.264 + g1^4*t^3.528 + g1^8*t^4.057 + g1^10*t^4.321 + t^4.415/g1^12 + t^4.5 + g1^12*t^4.585 + t^4.679/g1^10 + 2*g1^2*t^4.764 + (2*t^4.943)/g1^8 + g1^4*t^5.028 + t^5.208/g1^6 + g1^6*t^5.292 + (2*t^5.472)/g1^4 + g1^8*t^5.557 + (2*t^5.736)/g1^2 + g1^10*t^5.821 + g1^2*t^6.264 + g1^14*t^6.349 - t^6.443/g1^8 + 2*g1^4*t^6.528 + g1^16*t^6.613 + t^6.623/g1^18 + 2*g1^6*t^6.792 + g1^18*t^6.877 + t^6.887/g1^16 + t^6.972/g1^4 + 2*g1^8*t^7.057 + (2*t^7.151)/g1^14 + t^7.236/g1^2 + 2*g1^10*t^7.321 + (2*t^7.415)/g1^12 + 2*g1^12*t^7.585 + (2*t^7.679)/g1^10 + g1^2*t^7.764 + g1^14*t^7.849 + (2*t^7.943)/g1^8 + g1^4*t^8.028 + 2*g1^16*t^8.113 - g1^6*t^8.292 + g1^18*t^8.377 + 2*g1^20*t^8.641 - t^8.651/g1^14 - t^8.736/g1^2 + 2*g1^10*t^8.821 + t^8.83/g1^24 + g1^22*t^8.905 - t^4.236/(g1^2*y) - t^6.443/(g1^8*y) - t^6.708/(g1^6*y) + t^7.5/y + t^7.679/(g1^10*y) + (2*g1^2*t^7.764)/y + t^7.943/(g1^8*y) + (2*g1^4*t^8.028)/y + (2*t^8.208)/(g1^6*y) + (g1^6*t^8.292)/y + (2*t^8.472)/(g1^4*y) + (g1^8*t^8.557)/y - t^8.651/(g1^14*y) + (3*t^8.736)/(g1^2*y) + (g1^10*t^8.821)/y - t^8.915/(g1^12*y) - (t^4.236*y)/g1^2 - (t^6.443*y)/g1^8 - (t^6.708*y)/g1^6 + t^7.5*y + (t^7.679*y)/g1^10 + 2*g1^2*t^7.764*y + (t^7.943*y)/g1^8 + 2*g1^4*t^8.028*y + (2*t^8.208*y)/g1^6 + g1^6*t^8.292*y + (2*t^8.472*y)/g1^4 + g1^8*t^8.557*y - (t^8.651*y)/g1^14 + (3*t^8.736*y)/g1^2 + g1^10*t^8.821*y - (t^8.915*y)/g1^12 |
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 |
|---|---|---|---|---|---|---|---|---|
| 48243 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.5573 | 0.6931 | 0.804 | [M:[0.9183, 1.0817, 1.0, 0.7549, 1.1634], q:[0.6275, 0.4542], qb:[0.2908, 0.9542], phi:[0.4183]] | t^2.235 + t^2.265 + t^2.755 + t^3. + t^3.245 + 2*t^3.49 + t^3.98 + t^4.225 + t^4.47 + t^4.5 + t^4.53 + t^4.745 + t^4.99 + t^5.02 + t^5.235 + t^5.48 + t^5.51 + 2*t^5.725 + 2*t^5.755 - t^6. - t^4.255/y - t^4.255*y | detail | |
| 47206 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$ | 0.5703 | 0.714 | 0.7987 | [M:[0.9, 1.1, 1.0, 0.7], q:[0.6, 0.5], qb:[0.3, 1.0], phi:[0.4]] | t^2.1 + 2*t^2.4 + t^2.7 + t^3. + t^3.3 + t^3.6 + 2*t^4.2 + 3*t^4.5 + 5*t^4.8 + 2*t^5.1 + 3*t^5.4 + 3*t^5.7 + t^6. - t^4.2/y - t^4.2*y | detail | {a: 18249/32000, c: 22849/32000, M1: 9/10, M2: 11/10, M3: 1, M4: 7/10, q1: 3/5, q2: 1/2, qb1: 3/10, qb2: 1, phi1: 2/5} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46322 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}^{2}$ | 0.5526 | 0.6831 | 0.809 | [M:[0.9176, 1.0824, 1.0], q:[0.6264, 0.456], qb:[0.2912, 0.956], phi:[0.4176]] | t^2.242 + t^2.506 + t^2.753 + t^3. + t^3.247 + t^3.494 + t^3.742 + t^3.989 + t^4.236 + t^4.483 + 2*t^4.747 + t^4.994 + t^5.011 + t^5.242 + t^5.489 + t^5.506 + t^5.736 + t^5.753 + t^5.983 - t^4.253/y - t^4.253*y | detail |