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 |
|---|---|---|---|---|---|---|---|---|---|
| 57390 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ | 1.4458 | 1.6234 | 0.8906 | [X:[1.3682], M:[0.9476], q:[0.484, 0.5051], qb:[0.5684, 0.5473], phi:[0.3159]] | [X:[[0, 4]], M:[[0, -6]], q:[[1, 5], [-2, 6]], qb:[[-1, 1], [2, 0]], phi:[[0, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{2}$ | -1 | 2*t^2.843 + t^3.094 + t^3.157 + t^3.22 + t^4.041 + 3*t^4.105 + t^4.168 + t^4.989 + 2*t^5.052 + t^5.116 + t^5.367 + t^5.43 + 3*t^5.686 + t^5.937 - t^6. + t^6.188 + t^6.251 + 3*t^6.314 + 2*t^6.378 + t^6.441 + t^6.884 + 4*t^6.948 + t^7.135 + 5*t^7.199 + 5*t^7.262 + 4*t^7.325 + 2*t^7.389 + t^7.769 + 2*t^7.895 + t^7.959 + 2*t^8.083 + 4*t^8.146 + 7*t^8.209 + 4*t^8.273 + t^8.336 + t^8.46 + 2*t^8.524 + 4*t^8.529 + 2*t^8.587 + t^8.65 - t^8.716 - t^8.78 - 3*t^8.843 - t^8.906 + t^8.843/y^2 - t^3.948/y - t^4.895/y - (2*t^6.791)/y - t^7.041/y - t^7.105/y - t^7.168/y - (2*t^7.738)/y - t^7.989/y - t^8.052/y - t^8.116/y + t^8.686/y + t^8.937/y - t^3.948*y - t^4.895*y - 2*t^6.791*y - t^7.041*y - t^7.105*y - t^7.168*y - 2*t^7.738*y - t^7.989*y - t^8.052*y - t^8.116*y + t^8.686*y + t^8.937*y + t^8.843*y^2 | (2*t^2.843)/g2^6 + g1^3*g2^5*t^3.094 + g2^6*t^3.157 + (g2^7*t^3.22)/g1^3 + g1^3*g2^3*t^4.041 + 3*g2^4*t^4.105 + (g2^5*t^4.168)/g1^3 + g1^3*g2*t^4.989 + 2*g2^2*t^5.052 + (g2^3*t^5.116)/g1^3 + g2^14*t^5.367 + (g2^15*t^5.43)/g1^3 + (3*t^5.686)/g2^12 + (g1^3*t^5.937)/g2 - t^6. + g1^6*g2^10*t^6.188 + g1^3*g2^11*t^6.251 + 3*g2^12*t^6.314 + (2*g2^13*t^6.378)/g1^3 + (g2^14*t^6.441)/g1^6 + (g1^3*t^6.884)/g2^3 + (4*t^6.948)/g2^2 + g1^6*g2^8*t^7.135 + 5*g1^3*g2^9*t^7.199 + 5*g2^10*t^7.262 + (4*g2^11*t^7.325)/g1^3 + (2*g2^12*t^7.389)/g1^6 + (g1^6*t^7.769)/g2^6 + (2*t^7.895)/g2^4 + t^7.959/(g1^3*g2^3) + 2*g1^6*g2^6*t^8.083 + 4*g1^3*g2^7*t^8.146 + 7*g2^8*t^8.209 + (4*g2^9*t^8.273)/g1^3 + (g2^10*t^8.336)/g1^6 + g1^3*g2^19*t^8.46 + 2*g2^20*t^8.524 + (4*t^8.529)/g2^18 + (2*g2^21*t^8.587)/g1^3 + (g2^22*t^8.65)/g1^6 - (g1^6*t^8.716)/g2^8 - (g1^3*t^8.78)/g2^7 - (3*t^8.843)/g2^6 - t^8.906/(g1^3*g2^5) + t^8.843/(g2^6*y^2) - t^3.948/(g2^2*y) - t^4.895/(g2^4*y) - (2*t^6.791)/(g2^8*y) - (g1^3*g2^3*t^7.041)/y - (g2^4*t^7.105)/y - (g2^5*t^7.168)/(g1^3*y) - (2*t^7.738)/(g2^10*y) - (g1^3*g2*t^7.989)/y - (g2^2*t^8.052)/y - (g2^3*t^8.116)/(g1^3*y) + t^8.686/(g2^12*y) + (g1^3*t^8.937)/(g2*y) - (t^3.948*y)/g2^2 - (t^4.895*y)/g2^4 - (2*t^6.791*y)/g2^8 - g1^3*g2^3*t^7.041*y - g2^4*t^7.105*y - (g2^5*t^7.168*y)/g1^3 - (2*t^7.738*y)/g2^10 - g1^3*g2*t^7.989*y - g2^2*t^8.052*y - (g2^3*t^8.116*y)/g1^3 + (t^8.686*y)/g2^12 + (g1^3*t^8.937*y)/g2 + (t^8.843*y^2)/g2^6 |
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 |
|---|---|---|---|---|---|---|---|---|
| 58531 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ | 1.4515 | 1.6307 | 0.8901 | [X:[1.3835], M:[0.9248, 0.9073], q:[0.5171, 0.4997], qb:[0.5581, 0.5756], phi:[0.3083]] | t^2.72 + 2*t^2.77 + t^3.17 + t^3.23 + t^4.1 + 3*t^4.15 + t^4.2 + t^5.02 + 2*t^5.08 + t^5.13 + t^5.44 + t^5.47 + 2*t^5.5 + t^5.53 + 3*t^5.55 + t^5.9 + t^5.95 - t^6. - t^3.92/y - t^4.85/y - t^3.92*y - t^4.85*y | detail | |
| 58532 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ | 1.4515 | 1.6301 | 0.8904 | [X:[1.3808], M:[0.9288, 0.9288], q:[0.5022, 0.5189], qb:[0.569, 0.5523], phi:[0.3096]] | 3*t^2.79 + t^3.16 + t^3.26 + t^4.09 + 3*t^4.14 + t^4.19 + t^5.02 + 2*t^5.07 + t^5.12 + t^5.5 + t^5.55 + 6*t^5.57 + 2*t^5.95 - 3*t^6. - t^3.93/y - t^4.86/y - t^3.93*y - t^4.86*y | detail | {a: 14305937/9856080, c: 8033101/4928040, X1: 1454/1053, M1: 326/351, M2: 326/351, q1: 2644/5265, q2: 2732/5265, qb1: 2996/5265, qb2: 2908/5265, phi1: 326/1053} |
| 58523 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ | 1.0679 | 1.2079 | 0.8841 | [X:[1.5021], M:[0.7468], q:[0.5036, 1.0014], qb:[0.7496, 0.2518], phi:[0.2489]] | 2*t^2.24 + t^2.27 + t^3.01 + 2*t^3.76 + 3*t^4.48 + 5*t^4.51 + t^4.53 + 3*t^5.25 + t^5.28 - t^6. - t^3.75/y - t^4.49/y - (2*t^5.99)/y - t^3.75*y - t^4.49*y - 2*t^5.99*y | detail | |
| 58524 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | 1.3341 | 1.504 | 0.887 | [X:[1.3957], M:[0.9065], q:[0.4268, 0.729], qb:[0.6667, 0.3645], phi:[0.3022]] | t^2.37 + 2*t^2.72 + 2*t^3.28 + 5*t^4.19 + t^4.75 + 4*t^5.09 + 3*t^5.44 + 3*t^5.65 + 2*t^6. - t^3.91/y - t^4.81/y - t^3.91*y - t^4.81*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47897 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1.4497 | 1.6322 | 0.8882 | [X:[1.3628], M:[0.9023], q:[0.5128, 0.4792], qb:[0.585, 0.5115], phi:[0.3186]] | t^2.707 + t^2.867 + t^2.972 + t^3.073 + t^3.192 + t^3.928 + t^4.029 + t^4.088 + t^4.148 + t^4.249 + t^4.884 + t^4.984 + t^5.104 + t^5.205 + t^5.369 + t^5.414 + t^5.47 + t^5.574 + t^5.679 + t^5.735 + t^5.779 + t^5.839 + t^5.94 + t^5.944 - 3*t^6. - t^3.956/y - t^4.912/y - t^3.956*y - t^4.912*y | detail |