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 |
|---|---|---|---|---|---|---|---|---|---|
| 47154 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}X_{1}$ | 0.6986 | 0.8555 | 0.8166 | [X:[1.3672], M:[0.6328, 0.6867, 1.0269, 0.9731, 0.9731, 0.9045], q:[0.7925, 0.5747], qb:[0.5208, 0.4523], phi:[0.4149]] | [X:[[0, 1]], M:[[0, -1], [16, 1], [8, 1], [-8, -1], [-8, -1], [14, 0]], q:[[-1, 0], [1, 1]], qb:[[-15, -1], [7, 0]], phi:[[2, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }M_{4}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }X_{1}$, ${ }M_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$ | ${}$ | -3 | t^2.06 + t^2.49 + t^2.714 + 2*t^2.919 + t^3.734 + t^3.958 + t^4.102 + t^4.12 + t^4.164 + t^4.326 + t^4.37 + t^4.531 + t^4.55 + t^4.693 + t^4.774 + 3*t^4.979 + t^5.203 + 2*t^5.409 + t^5.427 + t^5.633 + 2*t^5.838 - 3*t^6. + t^6.018 + t^6.18 - t^6.206 + t^6.224 - t^6.367 + t^6.386 + 2*t^6.448 + t^6.591 + t^6.61 + 2*t^6.654 + t^6.672 + t^6.753 + t^6.815 + t^6.834 + t^6.859 + 2*t^6.878 + t^7.021 + 3*t^7.039 + 2*t^7.083 + t^7.182 + t^7.263 + 2*t^7.289 + 3*t^7.469 + t^7.487 - t^7.674 + 3*t^7.693 - t^7.88 + 4*t^7.898 + 2*t^7.917 - t^8.042 - 2*t^8.06 + t^8.078 + 2*t^8.122 + t^8.141 + t^8.24 - t^8.266 + t^8.284 + 3*t^8.328 + t^8.346 + t^8.446 - 3*t^8.49 + t^8.508 + t^8.534 + t^8.552 + t^8.651 + t^8.67 - t^8.695 - 2*t^8.714 + t^8.732 + t^8.739 + 2*t^8.758 + t^8.794 + t^8.813 - t^8.857 + t^8.875 + t^8.894 + t^8.901 - 6*t^8.919 + 3*t^8.938 - t^4.245/y - t^6.305/y - t^6.734/y - t^6.958/y - t^7.164/y + t^7.326/y + t^7.531/y + t^7.55/y + t^7.755/y + t^7.774/y + (2*t^7.979)/y + t^8.185/y + t^8.203/y - t^8.365/y + (2*t^8.409)/y + (2*t^8.633)/y + t^8.838/y - t^4.245*y - t^6.305*y - t^6.734*y - t^6.958*y - t^7.164*y + t^7.326*y + t^7.531*y + t^7.55*y + t^7.755*y + t^7.774*y + 2*t^7.979*y + t^8.185*y + t^8.203*y - t^8.365*y + 2*t^8.409*y + 2*t^8.633*y + t^8.838*y | g1^16*g2*t^2.06 + g1^4*t^2.49 + g1^14*t^2.714 + (2*t^2.919)/(g1^8*g2) + g1^6*t^3.734 + g1^16*t^3.958 + g2*t^4.102 + g1^32*g2^2*t^4.12 + t^4.164/(g1^6*g2) + g1^10*g2*t^4.326 + t^4.37/(g1^28*g2^2) + t^4.531/g1^12 + g1^20*g2*t^4.55 + g1^4*g2^2*t^4.693 + g1^30*g2*t^4.774 + 3*g1^8*t^4.979 + g1^18*t^5.203 + (2*t^5.409)/(g1^4*g2) + g1^28*t^5.427 + (g1^6*t^5.633)/g2 + (2*t^5.838)/(g1^16*g2^2) - 3*t^6. + g1^32*g2*t^6.018 + g1^48*g2^3*t^6.18 - t^6.206/(g1^22*g2) + g1^10*t^6.224 - (g2*t^6.367)/g1^6 + g1^26*g2^2*t^6.386 + 2*g1^20*t^6.448 + g1^4*g2*t^6.591 + g1^36*g2^2*t^6.61 + (2*t^6.654)/(g1^2*g2) + g1^30*t^6.672 + g1^20*g2^3*t^6.753 + g1^14*g2*t^6.815 + g1^46*g2^2*t^6.834 + t^6.859/(g1^24*g2^2) + (2*g1^8*t^6.878)/g2 + t^7.021/g1^8 + 3*g1^24*g2*t^7.039 + (2*t^7.083)/(g1^14*g2^2) + g1^8*g2^2*t^7.182 + g1^34*g2*t^7.263 + (2*t^7.289)/(g1^36*g2^3) + 3*g1^12*t^7.469 + g1^44*g2*t^7.487 - t^7.674/(g1^10*g2) + 3*g1^22*t^7.693 - t^7.88/(g1^32*g2^2) + (4*t^7.898)/g2 + 2*g1^32*t^7.917 - t^8.042/g1^16 - 2*g1^16*g2*t^8.06 + g1^48*g2^2*t^8.078 + (2*g1^10*t^8.122)/g2 + g1^42*t^8.141 + g1^64*g2^4*t^8.24 - t^8.266/g1^6 + g1^26*g2*t^8.284 + (3*t^8.328)/(g1^12*g2^2) + (g1^20*t^8.346)/g2 + g1^42*g2^3*t^8.446 - 3*g1^4*t^8.49 + g1^36*g2*t^8.508 + t^8.534/(g1^34*g2^3) + t^8.552/(g1^2*g2^2) + g1^20*g2^2*t^8.651 + g1^52*g2^3*t^8.67 - t^8.695/(g1^18*g2) - 2*g1^14*t^8.714 + g1^46*g2*t^8.732 + t^8.739/(g1^56*g2^4) + (2*t^8.758)/(g1^24*g2^3) + g1^4*g2^3*t^8.794 + g1^36*g2^4*t^8.813 - (g2*t^8.857)/g1^2 + g1^30*g2^2*t^8.875 + g1^62*g2^3*t^8.894 + t^8.901/(g1^40*g2^2) - (6*t^8.919)/(g1^8*g2) + 3*g1^24*t^8.938 - (g1^2*t^4.245)/y - (g1^18*g2*t^6.305)/y - (g1^6*t^6.734)/y - (g1^16*t^6.958)/y - t^7.164/(g1^6*g2*y) + (g1^10*g2*t^7.326)/y + t^7.531/(g1^12*y) + (g1^20*g2*t^7.55)/y + t^7.755/(g1^2*y) + (g1^30*g2*t^7.774)/y + (2*g1^8*t^7.979)/y + t^8.185/(g1^14*g2*y) + (g1^18*t^8.203)/y - (g1^34*g2^2*t^8.365)/y + (2*t^8.409)/(g1^4*g2*y) + (2*g1^6*t^8.633)/(g2*y) + t^8.838/(g1^16*g2^2*y) - g1^2*t^4.245*y - g1^18*g2*t^6.305*y - g1^6*t^6.734*y - g1^16*t^6.958*y - (t^7.164*y)/(g1^6*g2) + g1^10*g2*t^7.326*y + (t^7.531*y)/g1^12 + g1^20*g2*t^7.55*y + (t^7.755*y)/g1^2 + g1^30*g2*t^7.774*y + 2*g1^8*t^7.979*y + (t^8.185*y)/(g1^14*g2) + g1^18*t^8.203*y - g1^34*g2^2*t^8.365*y + (2*t^8.409*y)/(g1^4*g2) + (2*g1^6*t^8.633*y)/g2 + (t^8.838*y)/(g1^16*g2^2) |
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 |
|---|---|---|---|---|---|---|---|---|
| 54824 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}X_{1}$ + ${ }M_{4}M_{6}$ | 0.6914 | 0.8438 | 0.8194 | [X:[1.2806], M:[0.7194, 0.6954, 0.988, 1.012, 1.012, 0.988], q:[0.7866, 0.494], qb:[0.518, 0.494], phi:[0.4269]] | t^2.086 + t^2.561 + t^2.964 + 2*t^3.036 + 2*t^3.842 + t^4.172 + 3*t^4.245 + 2*t^4.317 + t^4.389 + t^4.647 + t^5.05 + 3*t^5.122 + t^5.525 + 2*t^5.597 + t^5.928 - 3*t^6. - t^4.281/y - t^4.281*y | detail | |
| 55622 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{1}X_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ | 0.7194 | 0.8963 | 0.8026 | [X:[1.3646], M:[0.6354, 0.6884, 1.0265, 0.9735, 0.9735, 0.9084, 0.6762], q:[0.7923, 0.5723], qb:[0.5193, 0.4542], phi:[0.4155]] | t^2.029 + t^2.065 + t^2.493 + t^2.725 + 2*t^2.92 + t^3.739 + t^4.057 + 2*t^4.094 + t^4.131 + t^4.167 + t^4.326 + t^4.362 + 2*t^4.521 + t^4.558 + t^4.681 + t^4.754 + t^4.79 + 2*t^4.949 + 3*t^4.986 + t^5.218 + 2*t^5.413 + t^5.45 + t^5.645 + t^5.768 + 2*t^5.841 - 3*t^6. - t^4.246/y - t^4.246*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46675 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}q_{1}^{2}$ | 0.7133 | 0.8853 | 0.8057 | [M:[0.6716, 0.7152, 1.0218, 0.9782, 0.9782], q:[0.7883, 0.5401], qb:[0.4965, 0.4817], phi:[0.4234]] | t^2.015 + t^2.146 + t^2.54 + 2*t^2.935 + t^3.11 + t^3.81 + t^4.03 + 2*t^4.16 + t^4.205 + t^4.249 + t^4.291 + t^4.335 + t^4.38 + t^4.51 + t^4.555 + t^4.686 + 2*t^4.95 + 3*t^5.08 + t^5.125 + t^5.255 + 2*t^5.475 + t^5.65 + 2*t^5.869 - 3*t^6. - t^4.27/y - t^4.27*y | detail |