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 |
---|---|---|---|---|---|---|---|---|---|
57673 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$ | 1.4454 | 1.6231 | 0.8905 | [X:[1.3712], M:[0.9296], q:[0.4995, 0.4858], qb:[0.571, 0.5573], phi:[0.3144]] | [X:[[0, 2]], M:[[3, -4]], q:[[-1, 3], [2, 2]], qb:[[-2, 1], [1, 0]], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{6}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$ | ${}\phi_{1}^{3}q_{1}\tilde{q}_{2}$ | -1 | t^2.79 + t^2.83 + t^3.13 + 2*t^3.17 + t^4.07 + 3*t^4.11 + t^4.15 + t^5.02 + 2*t^5.06 + t^5.1 + t^5.36 + t^5.4 + t^5.58 + t^5.62 + t^5.66 + t^5.92 + t^5.96 - t^6. - t^6.04 + t^6.26 + 3*t^6.3 + 4*t^6.34 + t^6.86 + 2*t^6.9 + 2*t^6.94 + 2*t^7.2 + 5*t^7.24 + 7*t^7.28 + 3*t^7.32 + t^7.8 + 2*t^7.85 + t^7.89 - t^7.93 + t^7.97 + 2*t^8.15 + 5*t^8.19 + 7*t^8.23 + 3*t^8.27 + t^8.31 + t^8.37 + t^8.41 + t^8.45 + 2*t^8.49 + 3*t^8.53 + 2*t^8.57 + t^8.71 + t^8.75 - 2*t^8.79 - 2*t^8.83 - 3*t^8.87 - t^8.91 + t^8.83/y^2 - t^3.94/y - t^4.89/y - t^6.73/y - t^6.77/y - t^7.07/y - (2*t^7.11)/y - t^7.68/y - t^7.72/y - t^8.02/y - (2*t^8.06)/y + t^8.62/y + t^8.92/y + (2*t^8.96)/y - t^3.94*y - t^4.89*y - t^6.73*y - t^6.77*y - t^7.07*y - 2*t^7.11*y - t^7.68*y - t^7.72*y - t^8.02*y - 2*t^8.06*y + t^8.62*y + t^8.92*y + 2*t^8.96*y + t^8.83*y^2 | (g1^3*t^2.79)/g2^4 + t^2.83/g2^3 + g1^3*g2^2*t^3.13 + 2*g2^3*t^3.17 + g1^3*g2*t^4.07 + 3*g2^2*t^4.11 + (g2^3*t^4.15)/g1^3 + g1^3*t^5.02 + 2*g2*t^5.06 + (g2^2*t^5.1)/g1^3 + g1^3*g2^6*t^5.36 + g2^7*t^5.4 + (g1^6*t^5.58)/g2^8 + (g1^3*t^5.62)/g2^7 + t^5.66/g2^6 + (g1^6*t^5.92)/g2^2 + (g1^3*t^5.96)/g2 - t^6. - (g2*t^6.04)/g1^3 + g1^6*g2^4*t^6.26 + 3*g1^3*g2^5*t^6.3 + 4*g2^6*t^6.34 + (g1^6*t^6.86)/g2^3 + (2*g1^3*t^6.9)/g2^2 + (2*t^6.94)/g2 + 2*g1^6*g2^3*t^7.2 + 5*g1^3*g2^4*t^7.24 + 7*g2^5*t^7.28 + (3*g2^6*t^7.32)/g1^3 + (g1^6*t^7.8)/g2^4 + (2*g1^3*t^7.85)/g2^3 + t^7.89/g2^2 - t^7.93/(g1^3*g2) + t^7.97/g1^6 + 2*g1^6*g2^2*t^8.15 + 5*g1^3*g2^3*t^8.19 + 7*g2^4*t^8.23 + (3*g2^5*t^8.27)/g1^3 + (g2^6*t^8.31)/g1^6 + (g1^9*t^8.37)/g2^12 + (g1^6*t^8.41)/g2^11 + (g1^3*t^8.45)/g2^10 + t^8.49/g2^9 + g1^6*g2^8*t^8.49 + 3*g1^3*g2^9*t^8.53 + 2*g2^10*t^8.57 + (g1^9*t^8.71)/g2^6 + (g1^6*t^8.75)/g2^5 - (2*g1^3*t^8.79)/g2^4 - (2*t^8.83)/g2^3 - (3*t^8.87)/(g1^3*g2^2) - t^8.91/(g1^6*g2) + t^8.83/(g2^3*y^2) - t^3.94/(g2*y) - t^4.89/(g2^2*y) - (g1^3*t^6.73)/(g2^5*y) - t^6.77/(g2^4*y) - (g1^3*g2*t^7.07)/y - (2*g2^2*t^7.11)/y - (g1^3*t^7.68)/(g2^6*y) - t^7.72/(g2^5*y) - (g1^3*t^8.02)/y - (2*g2*t^8.06)/y + (g1^3*t^8.62)/(g2^7*y) + (g1^6*t^8.92)/(g2^2*y) + (2*g1^3*t^8.96)/(g2*y) - (t^3.94*y)/g2 - (t^4.89*y)/g2^2 - (g1^3*t^6.73*y)/g2^5 - (t^6.77*y)/g2^4 - g1^3*g2*t^7.07*y - 2*g2^2*t^7.11*y - (g1^3*t^7.68*y)/g2^6 - (t^7.72*y)/g2^5 - g1^3*t^8.02*y - 2*g2*t^8.06*y + (g1^3*t^8.62*y)/g2^7 + (g1^6*t^8.92*y)/g2^2 + (2*g1^3*t^8.96*y)/g2 + (t^8.83*y^2)/g2^3 |
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 |
---|---|---|---|---|---|---|---|---|
60614 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{3}$ | 1.441 | 1.6197 | 0.8897 | [X:[1.3586], M:[0.9527, 1.0378], q:[0.4812, 0.4718], qb:[0.5661, 0.5566], phi:[0.3207]] | t^2.86 + t^3.09 + 3*t^3.11 + t^4.05 + 3*t^4.08 + t^4.1 + t^5.01 + 2*t^5.04 + t^5.07 + t^5.24 + t^5.26 + t^5.72 + t^5.94 + t^5.97 - 3*t^6. - t^3.96/y - t^4.92/y - t^3.96*y - t^4.92*y | detail | |
59063 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ | 1.03 | 1.1377 | 0.9053 | [X:[1.5077], M:[1.2307], q:[0.5128, 1.0051], qb:[0.2564, 0.7487], phi:[0.2461]] | t^2.22 + t^3.05 + t^3.69 + 3*t^3.78 + t^4.43 + 3*t^4.52 + 2*t^5.26 + t^5.91 - 2*t^6. - t^3.74/y - t^4.48/y - t^5.95/y - t^3.74*y - t^4.48*y - t^5.95*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 |
---|---|---|---|---|---|---|---|---|---|
47939 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1.446 | 1.6242 | 0.8903 | [X:[1.3694], M:[0.9321], q:[0.5113, 0.4763], qb:[0.5565, 0.5641], phi:[0.3153]] | t^2.796 + t^2.838 + t^3.098 + t^3.121 + t^3.226 + t^4.044 + t^4.067 + t^4.108 + t^4.149 + t^4.172 + t^4.99 + t^5.013 + t^5.095 + t^5.118 + t^5.337 + t^5.443 + t^5.593 + t^5.634 + t^5.675 + t^5.917 + t^5.936 + t^5.959 - 3*t^6. - t^3.946/y - t^4.892/y - t^3.946*y - t^4.892*y | detail |