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 |
|---|---|---|---|---|---|---|---|---|---|
| 3274 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{1}q_{2}$ + ${ }M_{3}M_{5}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ | 0.5993 | 0.7511 | 0.7979 | [M:[1.0714, 1.1429, 0.7143, 0.8571, 1.2857], q:[0.75, 0.5357], qb:[0.3929, 0.3214], phi:[0.5]] | [M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 537/896, c: 673/896, M1: 15/14, M2: 8/7, M3: 5/7, M4: 6/7, M5: 9/7, q1: 3/4, q2: 15/28, qb1: 11/28, qb2: 9/28, phi1: 1/2} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$ | ${}M_{2}M_{4}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | 1 | t^2.143 + t^2.571 + t^3. + 2*t^3.214 + 2*t^3.429 + t^3.643 + 2*t^3.857 + t^4.071 + 2*t^4.286 + 2*t^4.714 + 2*t^5.143 + t^5.357 + 2*t^5.571 + 2*t^5.786 + t^6. + t^6.214 + 5*t^6.429 + 3*t^6.643 + 5*t^6.857 + 3*t^7.071 + 6*t^7.286 + 3*t^7.5 + 5*t^7.714 + 2*t^7.929 + 3*t^8.143 + t^8.357 + 3*t^8.571 + t^8.786 - t^4.5/y + t^7.286/y + t^8.143/y + (2*t^8.357)/y + (3*t^8.571)/y + (3*t^8.786)/y - t^4.5*y + t^7.286*y + t^8.143*y + 2*t^8.357*y + 3*t^8.571*y + 3*t^8.786*y | t^2.143 + t^2.571 + t^3. + 2*t^3.214 + 2*t^3.429 + t^3.643 + 2*t^3.857 + t^4.071 + 2*t^4.286 + 2*t^4.714 + 2*t^5.143 + t^5.357 + 2*t^5.571 + 2*t^5.786 + t^6. + t^6.214 + 5*t^6.429 + 3*t^6.643 + 5*t^6.857 + 3*t^7.071 + 6*t^7.286 + 3*t^7.5 + 5*t^7.714 + 2*t^7.929 + 3*t^8.143 + t^8.357 + 3*t^8.571 + t^8.786 - t^4.5/y + t^7.286/y + t^8.143/y + (2*t^8.357)/y + (3*t^8.571)/y + (3*t^8.786)/y - t^4.5*y + t^7.286*y + t^8.143*y + 2*t^8.357*y + 3*t^8.571*y + 3*t^8.786*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 |
|---|---|---|---|---|---|---|---|---|
| 3703 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{1}q_{2}$ + ${ }M_{3}M_{5}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{6}$ | 0.6059 | 0.7622 | 0.795 | [M:[1.0714, 1.1429, 0.7143, 0.8571, 1.2857, 0.9286], q:[0.75, 0.5357], qb:[0.3929, 0.3214], phi:[0.5]] | t^2.143 + t^2.571 + t^2.786 + t^3. + t^3.214 + 2*t^3.429 + t^3.643 + 2*t^3.857 + t^4.071 + 2*t^4.286 + 2*t^4.714 + t^4.929 + 2*t^5.143 + t^5.357 + 3*t^5.571 + 2*t^5.786 + 2*t^6. - t^4.5/y - t^4.5*y | detail | {a: 53205/87808, c: 66925/87808, M1: 15/14, M2: 8/7, M3: 5/7, M4: 6/7, M5: 9/7, M6: 13/14, q1: 3/4, q2: 15/28, qb1: 11/28, qb2: 9/28, phi1: 1/2} |
| 3708 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{1}q_{2}$ + ${ }M_{3}M_{5}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ | 0.5868 | 0.7296 | 0.8042 | [M:[1.0714, 1.1429, 0.7143, 0.8571, 1.2857, 1.1429], q:[0.75, 0.5357], qb:[0.3929, 0.3214], phi:[0.5]] | t^2.143 + t^3. + 2*t^3.214 + 3*t^3.429 + t^3.643 + 2*t^3.857 + t^4.071 + 2*t^4.286 + t^4.714 + t^5.143 + t^5.357 + 2*t^5.571 - t^6. - t^4.5/y - t^4.5*y | detail | {a: 25761/43904, c: 32033/43904, M1: 15/14, M2: 8/7, M3: 5/7, M4: 6/7, M5: 9/7, M6: 8/7, q1: 3/4, q2: 15/28, qb1: 11/28, qb2: 9/28, phi1: 1/2} |
| 3705 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{1}q_{2}$ + ${ }M_{3}M_{5}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6167 | 0.7818 | 0.7887 | [M:[1.0714, 1.1429, 0.7143, 0.8571, 1.2857, 0.7857], q:[0.75, 0.5357], qb:[0.3929, 0.3214], phi:[0.5]] | t^2.143 + t^2.357 + t^2.571 + t^3. + 2*t^3.214 + 2*t^3.429 + 2*t^3.857 + t^4.071 + 2*t^4.286 + t^4.5 + 3*t^4.714 + t^4.929 + 2*t^5.143 + 2*t^5.357 + 4*t^5.571 + 3*t^5.786 + t^6. - t^4.5/y - t^4.5*y | detail | {a: 54147/87808, c: 68651/87808, M1: 15/14, M2: 8/7, M3: 5/7, M4: 6/7, M5: 9/7, M6: 11/14, q1: 3/4, q2: 15/28, qb1: 11/28, qb2: 9/28, phi1: 1/2} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2758 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}q_{1}q_{2}$ + ${ }M_{3}M_{5}$ | 0.6193 | 0.7789 | 0.7952 | [M:[1.1644, 1.1119, 0.7763, 0.6712, 1.2237], q:[0.75, 0.4737], qb:[0.3619, 0.4144], phi:[0.5]] | t^2.014 + t^2.329 + t^3. + 2*t^3.336 + 2*t^3.493 + 2*t^3.671 + t^3.829 + t^4.007 + t^4.027 + t^4.164 + 2*t^4.342 + t^4.658 + t^5.014 + t^5.329 + 2*t^5.349 + 2*t^5.507 + t^5.664 + 2*t^5.685 + t^5.822 - t^6. - t^4.5/y - t^4.5*y | detail |