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 |
|---|---|---|---|---|---|---|---|---|---|
| 57285 | SU3adj1nf2 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ | 1.3317 | 1.4983 | 0.8888 | [X:[1.3954], M:[1.0931, 0.8682], q:[0.7235, 0.3825], qb:[0.6719, 0.4083], phi:[0.3023]] | [X:[[0, 0, 2]], M:[[0, 0, 3], [1, -1, -2]], q:[[-1, 0, 2], [0, -1, 4]], qb:[[1, 0, 0], [0, 1, 0]], phi:[[0, 0, -1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ | ${}$ | -3 | t^2.372 + t^2.604 + t^3.163 + 2*t^3.279 + t^4.07 + 3*t^4.186 + t^4.302 + t^4.745 + t^4.977 + t^5.093 + t^5.209 + 2*t^5.372 + t^5.535 + 2*t^5.652 + t^5.767 + t^5.884 - 3*t^6. - t^6.116 + 2*t^6.163 + 2*t^6.279 + t^6.326 + 2*t^6.396 + 3*t^6.442 + 6*t^6.558 + t^6.674 + t^6.675 + t^6.791 - 2*t^6.907 - 2*t^7.023 + t^7.117 + t^7.233 + 6*t^7.349 + 7*t^7.465 + t^7.581 + 2*t^7.582 + 2*t^7.745 + t^7.813 - t^7.814 + t^7.908 - t^7.93 + 2*t^8.024 - 4*t^8.093 + 2*t^8.14 - 2*t^8.209 + 4*t^8.256 + 5*t^8.372 + t^8.488 + t^8.489 + 4*t^8.535 - 3*t^8.604 + t^8.605 + 6*t^8.652 + t^8.698 + t^8.721 + 2*t^8.767 + 2*t^8.768 + 3*t^8.815 + t^8.93 + 6*t^8.931 + t^8.721/y^2 - t^3.907/y - t^4.814/y - t^6.279/y - t^6.511/y - t^7.07/y - (2*t^7.186)/y - t^7.418/y - (3*t^8.093)/y + t^8.535/y + t^8.652/y + t^8.767/y + t^8.884/y - t^3.907*y - t^4.814*y - t^6.279*y - t^6.511*y - t^7.07*y - 2*t^7.186*y - t^7.418*y - 3*t^8.093*y + t^8.535*y + t^8.652*y + t^8.767*y + t^8.884*y + t^8.721*y^2 | g3^4*t^2.372 + (g1*t^2.604)/(g2*g3^2) + (g1*g3^4*t^3.163)/g2 + 2*g3^3*t^3.279 + (g1*g3^3*t^4.07)/g2 + 3*g3^2*t^4.186 + (g2*g3*t^4.302)/g1 + g3^8*t^4.745 + (g1*g3^2*t^4.977)/g2 + g3*t^5.093 + (g1^2*t^5.209)/(g2^2*g3^4) + (g1*g2^2*t^5.372)/g3 + (g3^9*t^5.372)/(g1*g2^2) + (g1*g3^8*t^5.535)/g2 + 2*g3^7*t^5.652 + (g1^2*g3^2*t^5.767)/g2^2 + (g1*g3*t^5.884)/g2 - 3*t^6. - (g2*t^6.116)/(g1*g3) + (g1^2*g2*t^6.163)/g3 + (g3^9*t^6.163)/g2^3 + (g1*g2^2*t^6.279)/g3^2 + (g3^8*t^6.279)/(g1*g2^2) + (g1^2*g3^8*t^6.326)/g2^2 + (g2^3*t^6.396)/g3^3 + (g3^7*t^6.396)/(g1^2*g2) + (3*g1*g3^7*t^6.442)/g2 + 6*g3^6*t^6.558 + (g1^2*g3*t^6.674)/g2^2 + (g2*g3^5*t^6.675)/g1 + (g1*t^6.791)/g2 - (2*t^6.907)/g3 - (2*g2*t^7.023)/(g1*g3^2) + g3^12*t^7.117 + (g1^2*g3^7*t^7.233)/g2^2 + (6*g1*g3^6*t^7.349)/g2 + 7*g3^5*t^7.465 + (g1^2*t^7.581)/g2^2 + (2*g2*g3^4*t^7.582)/g1 + g1*g2^2*g3^3*t^7.745 + (g3^13*t^7.745)/(g1*g2^2) + (g1^3*t^7.813)/(g2^3*g3^6) - t^7.814/g3^2 + (g1*g3^12*t^7.908)/g2 - (g2*t^7.93)/(g1*g3^3) + 2*g3^11*t^8.024 - (2*g1*g2^2*t^8.093)/g3^4 - (2*g3^6*t^8.093)/(g1*g2^2) + (2*g1^2*g3^6*t^8.14)/g2^2 - (g2^3*t^8.209)/g3^5 - (g3^5*t^8.209)/(g1^2*g2) + (4*g1*g3^5*t^8.256)/g2 + (g1^3*t^8.372)/g2^3 + 4*g3^4*t^8.372 + (g1^2*t^8.488)/(g2^2*g3) + (g2*g3^3*t^8.489)/g1 + 2*g1^2*g2*g3^3*t^8.535 + (2*g3^13*t^8.535)/g2^3 - (3*g1*t^8.604)/(g2*g3^2) + (g2^2*g3^2*t^8.605)/g1^2 + 3*g1*g2^2*g3^2*t^8.652 + (3*g3^12*t^8.652)/(g1*g2^2) + (g1^2*g3^12*t^8.698)/g2^2 + t^8.721/g3^3 + (g1^3*t^8.767)/g3^3 + (g1*g3^7*t^8.767)/g2^4 + g2^3*g3*t^8.768 + (g3^11*t^8.768)/(g1^2*g2) + (3*g1*g3^11*t^8.815)/g2 + (g1^3*g3^6*t^8.93)/g2^3 + 6*g3^10*t^8.931 + t^8.721/(g3^3*y^2) - t^3.907/(g3*y) - t^4.814/(g3^2*y) - (g3^3*t^6.279)/y - (g1*t^6.511)/(g2*g3^3*y) - (g1*g3^3*t^7.07)/(g2*y) - (2*g3^2*t^7.186)/y - (g1*t^7.418)/(g2*g3^4*y) - (3*g3*t^8.093)/y + (g1*g3^8*t^8.535)/(g2*y) + (g3^7*t^8.652)/y + (g1^2*g3^2*t^8.767)/(g2^2*y) + (g1*g3*t^8.884)/(g2*y) - (t^3.907*y)/g3 - (t^4.814*y)/g3^2 - g3^3*t^6.279*y - (g1*t^6.511*y)/(g2*g3^3) - (g1*g3^3*t^7.07*y)/g2 - 2*g3^2*t^7.186*y - (g1*t^7.418*y)/(g2*g3^4) - 3*g3*t^8.093*y + (g1*g3^8*t^8.535*y)/g2 + g3^7*t^8.652*y + (g1^2*g3^2*t^8.767*y)/g2^2 + (g1*g3*t^8.884*y)/g2 + (t^8.721*y^2)/g3^3 |
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 |
|---|---|---|---|---|---|---|---|---|
| 57781 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ | 1.327 | 1.4809 | 0.896 | [X:[1.4286], M:[1.1429, 0.8223], q:[0.7375, 0.417], qb:[0.6911, 0.4402], phi:[0.2857]] | t^2.47 + t^2.57 + t^3.32 + 2*t^3.43 + t^4.18 + 3*t^4.29 + t^4.39 + t^4.93 + t^5.04 + 2*t^5.14 + 2*t^5.57 + t^5.79 + 2*t^5.9 - t^6. - t^3.86/y - t^4.71/y - t^3.86*y - t^4.71*y | detail | |
| 57777 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ | 1.2238 | 1.35 | 0.9065 | [X:[1.4511], M:[1.1767, 1.0978], q:[0.5426, 0.5426], qb:[0.9085, 0.3596], phi:[0.2744]] | t^2.71 + t^3.29 + 3*t^3.53 + 4*t^4.35 + t^5.18 + t^5.41 + 4*t^5.71 - 4*t^6. - t^3.82/y - t^4.65/y - t^3.82*y - t^4.65*y | detail | |
| 57783 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ | 1.3155 | 1.4651 | 0.8979 | [X:[1.411], M:[1.1164, 0.8464, 1.1781], q:[0.7302, 0.3986], qb:[0.6807, 0.4233], phi:[0.2945]] | t^2.54 + t^3.24 + 2*t^3.35 + t^3.53 + t^4.12 + 3*t^4.23 + t^4.34 + t^5.08 + t^5.12 + 2*t^5.47 + t^5.78 + t^5.89 - 3*t^6. - t^3.88/y - t^4.77/y - t^3.88*y - t^4.77*y | detail | |
| 57779 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1.3171 | 1.4708 | 0.8955 | [X:[1.4294], M:[1.1441, 0.8212], q:[0.6908, 0.3708], qb:[0.7386, 0.488], phi:[0.2853]] | t^2.46 + t^2.58 + t^3.33 + 2*t^3.43 + t^4.18 + 3*t^4.29 + t^4.39 + t^4.93 + t^5.04 + t^5.14 + 2*t^5.15 + t^5.79 + 3*t^5.9 - 2*t^6. - t^3.86/y - t^4.71/y - t^3.86*y - t^4.71*y | detail | |
| 57780 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | 1.3256 | 1.4774 | 0.8973 | [X:[1.4285], M:[1.1428, 0.8574], q:[0.7141, 0.4286], qb:[0.7144, 0.4285], phi:[0.2857]] | 2*t^2.57 + 3*t^3.43 + 5*t^4.29 + 4*t^5.14 + 2*t^5.57 + t^6. - t^3.86/y - t^4.71/y - t^3.86*y - t^4.71*y | detail | |
| 57776 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ | 1.2865 | 1.4127 | 0.9107 | [X:[1.5], M:[1.25, 0.7307], q:[0.7629, 0.4936], qb:[0.7371, 0.5064], phi:[0.25]] | t^2.19 + t^3. + t^3.69 + 2*t^3.75 + t^4.38 + t^4.44 + 3*t^4.5 + t^4.56 + t^5.19 + t^5.25 + t^5.88 + t^5.94 - t^3.75/y - t^4.5/y - t^5.94/y - t^3.75*y - t^4.5*y - t^5.94*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47881 | SU3adj1nf2 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.3224 | 1.4876 | 0.8889 | [X:[1.3809], M:[1.0713], q:[0.6904, 0.3809], qb:[0.6904, 0.3809], phi:[0.3096]] | t^2.285 + 4*t^3.214 + 5*t^4.143 + t^4.57 + t^5.071 + 2*t^5.285 + 4*t^5.499 - 5*t^6. - t^3.929/y - t^4.857/y - t^3.929*y - t^4.857*y | detail |