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 |
|---|---|---|---|---|---|---|---|---|---|
| 57469 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ | 1.1888 | 1.412 | 0.8419 | [X:[1.5714], M:[1.1429], q:[0.5, 0.2143], qb:[0.5, 0.2143], phi:[0.4286]] | [X:[[0, 0]], M:[[0, 0]], q:[[-1, 0], [0, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 | {a: 26097/21952, c: 30997/21952, X1: 11/7, M1: 8/7, q1: 1/2, q2: 3/14, qb1: 1/2, qb2: 3/14, phi1: 3/7} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}^{3}$ | ${2}\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ 2}\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{2}^{2}$ | 3 | 2*t^2.14 + t^2.57 + t^3. + 3*t^3.43 + 2*t^3.86 + 2*t^4.07 + 4*t^4.29 + 5*t^4.71 + 2*t^4.93 + t^5.14 + 2*t^5.36 + 8*t^5.57 + 2*t^5.79 + 3*t^6. + 6*t^6.21 + 9*t^6.43 + 2*t^6.64 + 13*t^6.86 + 4*t^7.07 + 7*t^7.29 + 8*t^7.5 + 18*t^7.71 + 2*t^7.93 + 12*t^8.14 + 18*t^8.36 + 12*t^8.57 + 8*t^8.79 - t^4.29/y - t^5.57/y - (2*t^6.43)/y + (4*t^8.57)/y - t^4.29*y - t^5.57*y - 2*t^6.43*y + 4*t^8.57*y | (g1*t^2.14)/g2 + (g2*t^2.14)/g1 + t^2.57 + t^3. + t^3.43 + (g1*t^3.43)/g2 + (g2*t^3.43)/g1 + 2*t^3.86 + t^4.07/(g1*g2^2) + g1*g2^2*t^4.07 + 2*t^4.29 + (g1^2*t^4.29)/g2^2 + (g2^2*t^4.29)/g1^2 + t^4.71 + (2*g1*t^4.71)/g2 + (2*g2*t^4.71)/g1 + t^4.93/(g1^2*g2) + g1^2*g2*t^4.93 + t^5.14 + t^5.36/(g1*g2^2) + g1*g2^2*t^5.36 + 4*t^5.57 + (g1^2*t^5.57)/g2^2 + (g1*t^5.57)/g2 + (g2*t^5.57)/g1 + (g2^2*t^5.57)/g1^2 + t^5.79/g2^3 + g2^3*t^5.79 - 3*t^6. + (3*g1*t^6.)/g2 + (3*g2*t^6.)/g1 + t^6.21/g2^3 + (2*t^6.21)/(g1^2*g2) + 2*g1^2*g2*t^6.21 + g2^3*t^6.21 + 3*t^6.43 + (g1^3*t^6.43)/g2^3 + (2*g1*t^6.43)/g2 + (2*g2*t^6.43)/g1 + (g2^3*t^6.43)/g1^3 + (2*t^6.64)/(g1*g2^2) - t^6.64/(g1^2*g2) - g1^2*g2*t^6.64 + 2*g1*g2^2*t^6.64 + 7*t^6.86 + (3*g1^2*t^6.86)/g2^2 + (3*g2^2*t^6.86)/g1^2 + t^7.07/g1^3 + g1^3*t^7.07 + t^7.07/(g1*g2^2) + g1*g2^2*t^7.07 - t^7.29 + (4*g1*t^7.29)/g2 + (4*g2*t^7.29)/g1 + (2*t^7.5)/g2^3 - t^7.5/(g1*g2^2) + (3*t^7.5)/(g1^2*g2) + 3*g1^2*g2*t^7.5 - g1*g2^2*t^7.5 + 2*g2^3*t^7.5 + 6*t^7.71 + (g1^3*t^7.71)/g2^3 + (g1^2*t^7.71)/g2^2 + (4*g1*t^7.71)/g2 + (4*g2*t^7.71)/g1 + (g2^2*t^7.71)/g1^2 + (g2^3*t^7.71)/g1^3 + (g1*t^7.93)/g2^4 - (2*t^7.93)/g2^3 + (3*t^7.93)/(g1*g2^2) - t^7.93/(g1^2*g2) - g1^2*g2*t^7.93 + 3*g1*g2^2*t^7.93 - 2*g2^3*t^7.93 + (g2^4*t^7.93)/g1 + 10*t^8.14 + t^8.14/(g1^2*g2^4) + (4*g1^2*t^8.14)/g2^2 - (4*g1*t^8.14)/g2 - (4*g2*t^8.14)/g1 + (4*g2^2*t^8.14)/g1^2 + g1^2*g2^4*t^8.14 + (4*t^8.36)/g1^3 + 4*g1^3*t^8.36 + (g1*t^8.36)/g2^4 + t^8.36/g2^3 + (3*t^8.36)/(g1*g2^2) + 3*g1*g2^2*t^8.36 + g2^3*t^8.36 + (g2^4*t^8.36)/g1 - 2*t^8.57 + (g1^4*t^8.57)/g2^4 + (g1^2*t^8.57)/g2^2 + (5*g1*t^8.57)/g2 + (5*g2*t^8.57)/g1 + (g2^2*t^8.57)/g1^2 + (g2^4*t^8.57)/g1^4 - (2*t^8.79)/g1^3 - 2*g1^3*t^8.79 + (4*t^8.79)/g2^3 - (3*t^8.79)/(g1*g2^2) + (5*t^8.79)/(g1^2*g2) + 5*g1^2*g2*t^8.79 - 3*g1*g2^2*t^8.79 + 4*g2^3*t^8.79 - t^4.29/y - t^5.57/y - (g1*t^6.43)/(g2*y) - (g2*t^6.43)/(g1*y) - (2*t^8.14)/y + (g1*t^8.14)/(g2*y) + (g2*t^8.14)/(g1*y) + (2*t^8.57)/y + (g1*t^8.57)/(g2*y) + (g2*t^8.57)/(g1*y) - t^4.29*y - t^5.57*y - (g1*t^6.43*y)/g2 - (g2*t^6.43*y)/g1 - 2*t^8.14*y + (g1*t^8.14*y)/g2 + (g2*t^8.14*y)/g1 + 2*t^8.57*y + (g1*t^8.57*y)/g2 + (g2*t^8.57*y)/g1 |
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 |
|---|---|---|---|---|---|---|---|---|
| 59382 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }M_{1}M_{2}$ | 1.2014 | 1.4335 | 0.8381 | [X:[1.5714], M:[1.1429, 0.8571], q:[0.5, 0.2143], qb:[0.5, 0.2143], phi:[0.4286]] | 2*t^2.14 + 2*t^2.57 + t^3. + 2*t^3.43 + 2*t^3.86 + 2*t^4.07 + 4*t^4.29 + 7*t^4.71 + 2*t^4.93 + 3*t^5.14 + 2*t^5.36 + 7*t^5.57 + 2*t^5.79 + 4*t^6. - t^4.29/y - t^5.57/y - t^4.29*y - t^5.57*y | detail | {a: 26373/21952, c: 31469/21952, X1: 11/7, M1: 8/7, M2: 6/7, q1: 1/2, q2: 3/14, qb1: 1/2, qb2: 3/14, phi1: 3/7} |
| 60084 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}\tilde{q}_{2}X_{2}$ | 1.1392 | 1.3356 | 0.8529 | [X:[1.5714, 1.4286], M:[1.1429], q:[0.4127, 0.2698], qb:[0.5873, 0.1587], phi:[0.4286]] | 2*t^2.57 + 2*t^3. + t^3.43 + 3*t^3.86 + t^4. + t^4.14 + 3*t^4.29 + t^4.57 + 4*t^5.14 + 3*t^5.29 + t^5.43 + 4*t^5.57 + t^5.86 - t^6. - t^4.29/y - t^5.57/y - t^4.29*y - t^5.57*y | detail | {a: 1563/1372, c: 3665/2744, X1: 11/7, X2: 10/7, M1: 8/7, q1: 26/63, q2: 17/63, qb1: 37/63, qb2: 10/63, phi1: 3/7} |
| 58723 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }M_{2}\phi_{1}^{2}q_{2}\tilde{q}_{2}$ | 1.209 | 1.4501 | 0.8338 | [X:[1.5714], M:[1.1429, 0.7143], q:[0.5, 0.2143], qb:[0.5, 0.2143], phi:[0.4286]] | 3*t^2.14 + t^2.57 + t^3. + 3*t^3.43 + t^3.86 + 2*t^4.07 + 7*t^4.29 + 6*t^4.71 + 2*t^4.93 + 2*t^5.14 + 2*t^5.36 + 11*t^5.57 + 2*t^5.79 + 2*t^6. - t^4.29/y - t^5.57/y - t^4.29*y - t^5.57*y | detail | {a: 26541/21952, c: 31833/21952, X1: 11/7, M1: 8/7, M2: 5/7, q1: 1/2, q2: 3/14, qb1: 1/2, qb2: 3/14, phi1: 3/7} |
| 59406 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ | 1.0995 | 1.2977 | 0.8473 | [X:[1.5714, 1.401], M:[1.1429], q:[0.6575, 0.2565], qb:[0.3425, 0.1721], phi:[0.4286]] | t^2.49 + t^2.57 + t^3. + t^3.08 + t^3.35 + t^3.43 + t^3.77 + 3*t^3.86 + t^4.2 + t^4.29 + t^4.37 + t^4.63 + t^4.71 + t^4.98 + 2*t^5.06 + 2*t^5.14 + t^5.41 + 2*t^5.57 + t^5.65 + t^5.83 + 3*t^5.92 - 2*t^6. - t^4.29/y - t^5.57/y - t^4.29*y - t^5.57*y | detail | |
| 60100 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{1}\tilde{q}_{2}X_{2}$ | 1.1603 | 1.3612 | 0.8524 | [X:[1.5714, 1.3571], M:[1.1429], q:[0.4563, 0.2421], qb:[0.5437, 0.1865], phi:[0.4286]] | t^2.36 + t^2.57 + t^3. + t^3.21 + t^3.43 + t^3.64 + 2*t^3.86 + t^4.04 + t^4.07 + t^4.11 + t^4.29 + t^4.5 + 2*t^4.71 + t^4.75 + t^4.93 + t^5.11 + t^5.14 + t^5.32 + t^5.39 + t^5.54 + 3*t^5.57 + 2*t^5.79 - 2*t^6. - t^4.29/y - t^5.57/y - t^4.29*y - t^5.57*y | detail | {a: 12735/10976, c: 3735/2744, X1: 11/7, X2: 19/14, M1: 8/7, q1: 115/252, q2: 61/252, qb1: 137/252, qb2: 47/252, phi1: 3/7} |
| 58814 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$ | 1.156 | 1.3793 | 0.8382 | [X:[1.5714], M:[1.1429], q:[0.5604, 0.2912], qb:[0.4396, 0.1374], phi:[0.4286]] | t^2.09 + t^2.19 + t^2.57 + t^3. + t^3.38 + 2*t^3.43 + t^3.48 + 2*t^3.86 + t^4.19 + 2*t^4.29 + t^4.34 + t^4.38 + 2*t^4.66 + 3*t^4.71 + 2*t^4.76 + t^5.09 + t^5.14 + t^5.47 + 3*t^5.52 + 4*t^5.57 + 3*t^5.62 + t^5.67 + 3*t^5.95 - t^4.29/y - t^5.57/y - t^4.29*y - t^5.57*y | detail | {a: 659811/570752, c: 787211/570752, X1: 11/7, M1: 8/7, q1: 51/91, q2: 53/182, qb1: 40/91, qb2: 25/182, phi1: 3/7} |
| 60632 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }q_{2}\tilde{q}_{2}X_{1}$ + ${ }\phi_{1}^{3}q_{2}^{3}$ | 1.1866 | 1.4098 | 0.8417 | [X:[1.5714], M:[1.1429], q:[0.5, 0.2381], qb:[0.5, 0.1905], phi:[0.4286]] | t^2.07 + t^2.21 + t^2.57 + t^3. + t^3.36 + t^3.43 + t^3.5 + 2*t^3.86 + t^3.93 + t^4.14 + t^4.21 + 2*t^4.29 + t^4.43 + 2*t^4.64 + t^4.71 + 2*t^4.79 + t^4.86 + t^5. + t^5.14 + t^5.21 + t^5.43 + 2*t^5.5 + 5*t^5.57 + t^5.64 + t^5.71 + 3*t^5.93 - t^6. - t^4.29/y - t^5.57/y - t^4.29*y - t^5.57*y | detail | {a: 52095/43904, c: 61895/43904, X1: 11/7, M1: 8/7, q1: 1/2, q2: 5/21, qb1: 1/2, qb2: 4/21, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 47914 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ | 1.4949 | 1.7247 | 0.8668 | [M:[0.6769], q:[0.5, 0.4939], qb:[0.5, 0.4939], phi:[0.3354]] | t^2.012 + t^2.031 + t^2.963 + 2*t^2.982 + t^3. + t^3.018 + 2*t^3.988 + t^4.006 + t^4.025 + t^4.043 + t^4.061 + 2*t^4.975 + 5*t^4.994 + 4*t^5.012 + 2*t^5.031 + t^5.049 + 2*t^5.469 + 2*t^5.488 + t^5.926 + 2*t^5.945 + 4*t^5.963 + t^5.982 + t^6. - t^4.006/y - t^5.012/y - t^4.006*y - t^5.012*y | detail |