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 |
|---|---|---|---|---|---|---|---|---|---|
| 1935 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6818 | 0.8558 | 0.7967 | [M:[1.0, 0.8382, 1.1618, 0.6764, 0.8382], q:[0.4466, 0.5534], qb:[0.3916, 0.7702], phi:[0.4595]] | [M:[[0], [-8], [8], [-16], [-8]], q:[[-15], [15]], qb:[[7], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{2}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}q_{1}\tilde{q}_{1}$ | ${}$ | -2 | t^2.029 + 2*t^2.515 + t^2.757 + t^2.835 + t^3. + t^3.65 + t^3.728 + t^3.893 + 2*t^4.058 + t^4.214 + t^4.379 + 2*t^4.544 + t^4.699 + t^4.786 + t^4.864 + 4*t^5.029 + 2*t^5.272 + 2*t^5.35 + 2*t^5.515 + t^5.592 + t^5.67 + 2*t^5.757 + t^5.922 - 2*t^6. + 2*t^6.087 + t^6.165 + 2*t^6.243 - t^6.321 + 3*t^6.408 + t^6.563 + 4*t^6.573 + t^6.65 + 3*t^6.728 + 2*t^6.815 + 3*t^6.893 - t^6.971 + t^7.049 + 4*t^7.058 - t^7.136 + 2*t^7.214 + 2*t^7.301 + t^7.379 + t^7.456 + t^7.534 + 5*t^7.544 + t^7.621 + t^7.709 + 6*t^7.786 + t^7.864 + 2*t^7.951 + t^8.029 + 2*t^8.107 + 3*t^8.116 + t^8.185 - t^8.194 + 4*t^8.272 - t^8.35 + 2*t^8.427 + 3*t^8.437 + t^8.505 - 5*t^8.515 + t^8.592 + 4*t^8.602 + 2*t^8.679 + 3*t^8.757 - 5*t^8.835 + 2*t^8.844 + t^8.913 + 5*t^8.922 - t^4.379/y - t^6.408/y - t^6.893/y - t^7.136/y + (2*t^7.544)/y + t^7.621/y + t^7.786/y + (2*t^7.864)/y + (2*t^8.029)/y + (2*t^8.272)/y + (3*t^8.35)/y - t^8.437/y + (2*t^8.515)/y + t^8.592/y + t^8.679/y + (2*t^8.757)/y + t^8.835/y - t^4.379*y - t^6.408*y - t^6.893*y - t^7.136*y + 2*t^7.544*y + t^7.621*y + t^7.786*y + 2*t^7.864*y + 2*t^8.029*y + 2*t^8.272*y + 3*t^8.35*y - t^8.437*y + 2*t^8.515*y + t^8.592*y + t^8.679*y + 2*t^8.757*y + t^8.835*y | t^2.029/g1^16 + (2*t^2.515)/g1^8 + t^2.757/g1^4 + g1^22*t^2.835 + t^3. + t^3.65/g1^14 + g1^12*t^3.728 + t^3.893/g1^10 + (2*t^4.058)/g1^32 + g1^20*t^4.214 + t^4.379/g1^2 + (2*t^4.544)/g1^24 + g1^28*t^4.699 + t^4.786/g1^20 + g1^6*t^4.864 + (4*t^5.029)/g1^16 + (2*t^5.272)/g1^12 + 2*g1^14*t^5.35 + (2*t^5.515)/g1^8 + g1^18*t^5.592 + g1^44*t^5.67 + (2*t^5.757)/g1^4 + t^5.922/g1^26 - 2*t^6. + (2*t^6.087)/g1^48 + t^6.165/g1^22 + 2*g1^4*t^6.243 - g1^30*t^6.321 + (3*t^6.408)/g1^18 + g1^34*t^6.563 + (4*t^6.573)/g1^40 + t^6.65/g1^14 + 3*g1^12*t^6.728 + (2*t^6.815)/g1^36 + (3*t^6.893)/g1^10 - g1^16*t^6.971 + g1^42*t^7.049 + (4*t^7.058)/g1^32 - t^7.136/g1^6 + 2*g1^20*t^7.214 + (2*t^7.301)/g1^28 + t^7.379/g1^2 + g1^24*t^7.456 + g1^50*t^7.534 + (5*t^7.544)/g1^24 + g1^2*t^7.621 + t^7.709/g1^46 + (6*t^7.786)/g1^20 + g1^6*t^7.864 + (2*t^7.951)/g1^42 + t^8.029/g1^16 + 2*g1^10*t^8.107 + (3*t^8.116)/g1^64 + g1^36*t^8.185 - t^8.194/g1^38 + (4*t^8.272)/g1^12 - g1^14*t^8.35 + 2*g1^40*t^8.427 + (3*t^8.437)/g1^34 + g1^66*t^8.505 - (5*t^8.515)/g1^8 + g1^18*t^8.592 + (4*t^8.602)/g1^56 + (2*t^8.679)/g1^30 + (3*t^8.757)/g1^4 - 5*g1^22*t^8.835 + (2*t^8.844)/g1^52 + g1^48*t^8.913 + (5*t^8.922)/g1^26 - t^4.379/(g1^2*y) - t^6.408/(g1^18*y) - t^6.893/(g1^10*y) - t^7.136/(g1^6*y) + (2*t^7.544)/(g1^24*y) + (g1^2*t^7.621)/y + t^7.786/(g1^20*y) + (2*g1^6*t^7.864)/y + (2*t^8.029)/(g1^16*y) + (2*t^8.272)/(g1^12*y) + (3*g1^14*t^8.35)/y - t^8.437/(g1^34*y) + (2*t^8.515)/(g1^8*y) + (g1^18*t^8.592)/y + t^8.679/(g1^30*y) + (2*t^8.757)/(g1^4*y) + (g1^22*t^8.835)/y - (t^4.379*y)/g1^2 - (t^6.408*y)/g1^18 - (t^6.893*y)/g1^10 - (t^7.136*y)/g1^6 + (2*t^7.544*y)/g1^24 + g1^2*t^7.621*y + (t^7.786*y)/g1^20 + 2*g1^6*t^7.864*y + (2*t^8.029*y)/g1^16 + (2*t^8.272*y)/g1^12 + 3*g1^14*t^8.35*y - (t^8.437*y)/g1^34 + (2*t^8.515*y)/g1^8 + g1^18*t^8.592*y + (t^8.679*y)/g1^30 + (2*t^8.757*y)/g1^4 + g1^22*t^8.835*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 |
|---|---|---|---|---|---|---|---|---|
| 2972 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6813 | 0.8544 | 0.7974 | [M:[1.0, 0.8462, 1.1538, 0.6923, 0.8462], q:[0.4615, 0.5385], qb:[0.3846, 0.7692], phi:[0.4615]] | t^2.077 + 2*t^2.538 + 2*t^2.769 + t^3. + 2*t^3.692 + t^3.923 + 3*t^4.154 + t^4.385 + 3*t^4.615 + 2*t^4.846 + 4*t^5.077 + 4*t^5.308 + 4*t^5.538 + 2*t^5.769 - t^6. - t^4.385/y - t^4.385*y | detail | {a: 23949/35152, c: 30033/35152, M1: 1, M2: 11/13, M3: 15/13, M4: 9/13, M5: 11/13, q1: 6/13, q2: 7/13, qb1: 5/13, qb2: 10/13, phi1: 6/13} |
| 2973 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.7023 | 0.8948 | 0.7849 | [M:[1.0, 0.8396, 1.1604, 0.6792, 0.8396, 0.7005], q:[0.4492, 0.5508], qb:[0.3904, 0.7701], phi:[0.4599]] | t^2.037 + t^2.102 + 2*t^2.519 + t^2.759 + t^2.823 + t^3. + t^3.658 + t^3.722 + 2*t^4.075 + t^4.139 + 2*t^4.203 + t^4.38 + 2*t^4.556 + 2*t^4.62 + t^4.684 + t^4.797 + 2*t^4.861 + t^4.925 + 4*t^5.037 + t^5.102 + 2*t^5.278 + 2*t^5.342 + 2*t^5.519 + t^5.583 + t^5.647 + 3*t^5.759 + t^5.823 - 2*t^6. - t^4.38/y - t^4.38*y | detail | |
| 2971 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | 0.7007 | 0.8906 | 0.7868 | [M:[1.0, 0.8343, 1.1657, 0.6686, 0.8343, 0.7514], q:[0.4393, 0.5607], qb:[0.395, 0.7707], phi:[0.4586]] | t^2.006 + t^2.254 + 2*t^2.503 + t^2.751 + t^2.867 + t^3. + t^3.63 + t^3.879 + 2*t^4.012 + t^4.243 + t^4.26 + t^4.376 + 3*t^4.509 + t^4.74 + 3*t^4.757 + t^4.873 + 5*t^5.006 + t^5.121 + 3*t^5.254 + 2*t^5.37 + 2*t^5.503 + t^5.618 + t^5.734 + t^5.751 + 2*t^5.884 - 2*t^6. - t^4.376/y - t^4.376*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 |
|---|---|---|---|---|---|---|---|---|---|
| 574 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{3}M_{5}$ | 0.7096 | 0.8749 | 0.811 | [M:[1.0, 0.9169, 1.0831, 0.8338, 0.9169], q:[0.4404, 0.5596], qb:[0.4765, 0.6066], phi:[0.4792]] | t^2.501 + 2*t^2.751 + t^2.875 + t^3. + t^3.108 + t^3.141 + t^4.08 + t^4.188 + t^4.297 + t^4.438 + t^4.546 + t^4.579 + t^4.687 + t^4.795 + t^4.936 + t^5.003 + t^5.077 + 2*t^5.252 + t^5.377 + 3*t^5.501 + 2*t^5.626 + 2*t^5.751 + t^5.859 + t^5.875 + t^5.892 + t^5.984 - 3*t^6. - t^4.438/y - t^4.438*y | detail |