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 |
---|---|---|---|---|---|---|---|---|---|
2674 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{7}$ | 0.6263 | 0.7723 | 0.811 | [X:[1.4176], M:[1.0882, 0.5824, 0.7529, 0.9176, 1.0824, 1.0, 0.9118], q:[0.6206, 0.2912], qb:[0.6265, 0.7912], phi:[0.4176]] | [X:[[2]], M:[[10], [-2], [6], [2], [-2], [0], [-10]], q:[[-9], [-1]], qb:[[3], [-1]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{7}$, ${ }M_{4}$, ${ }M_{6}$, ${ }M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}^{2}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}M_{7}$, ${ }M_{4}M_{6}$, ${ }M_{5}\phi_{1}^{2}$ | ${}$ | -1 | t^2.259 + t^2.506 + t^2.735 + t^2.753 + t^3. + t^3.247 + t^3.988 + t^4.006 + t^4.235 + t^4.253 + t^4.518 + t^4.765 + t^4.977 + t^4.994 + 2*t^5.012 + t^5.241 + 2*t^5.259 + t^5.471 + t^5.488 + 3*t^5.506 + t^5.735 + t^5.753 - t^6. - t^6.018 + t^6.247 + t^6.494 + t^6.512 + t^6.724 + t^6.741 + t^6.759 + t^6.776 + t^6.971 + t^6.988 + t^7.006 + t^7.023 + t^7.235 + t^7.27 + t^7.482 + 3*t^7.518 + t^7.712 + t^7.73 + t^7.747 + 4*t^7.765 + 2*t^7.977 + t^7.994 + 3*t^8.012 + t^8.206 + 2*t^8.224 + 2*t^8.241 + t^8.259 + t^8.471 - t^8.523 - 2*t^8.735 - 2*t^8.753 - t^8.77 + t^8.965 - t^4.253/y - t^6.512/y - t^6.759/y + t^7.747/y + t^7.765/y + (2*t^7.994)/y + t^8.012/y + t^8.241/y + (2*t^8.259)/y + t^8.488/y + (2*t^8.506)/y + t^8.735/y + (2*t^8.753)/y - t^8.77/y + t^8.982/y - t^4.253*y - t^6.512*y - t^6.759*y + t^7.747*y + t^7.765*y + 2*t^7.994*y + t^8.012*y + t^8.241*y + 2*t^8.259*y + t^8.488*y + 2*t^8.506*y + t^8.735*y + 2*t^8.753*y - t^8.77*y + t^8.982*y | g1^6*t^2.259 + g1^4*t^2.506 + t^2.735/g1^10 + g1^2*t^2.753 + t^3. + t^3.247/g1^2 + t^3.988/g1^8 + g1^4*t^4.006 + t^4.235/g1^10 + g1^2*t^4.253 + g1^12*t^4.518 + g1^10*t^4.765 + t^4.977/g1^16 + t^4.994/g1^4 + 2*g1^8*t^5.012 + t^5.241/g1^6 + 2*g1^6*t^5.259 + t^5.471/g1^20 + t^5.488/g1^8 + 3*g1^4*t^5.506 + t^5.735/g1^10 + g1^2*t^5.753 - t^6. - g1^12*t^6.018 + t^6.247/g1^2 + t^6.494/g1^4 + g1^8*t^6.512 + t^6.724/g1^18 + t^6.741/g1^6 + g1^6*t^6.759 + g1^18*t^6.776 + t^6.971/g1^20 + t^6.988/g1^8 + g1^4*t^7.006 + g1^16*t^7.023 + t^7.235/g1^10 + g1^14*t^7.27 + t^7.482/g1^12 + 3*g1^12*t^7.518 + t^7.712/g1^26 + t^7.73/g1^14 + t^7.747/g1^2 + 4*g1^10*t^7.765 + (2*t^7.977)/g1^16 + t^7.994/g1^4 + 3*g1^8*t^8.012 + t^8.206/g1^30 + (2*t^8.224)/g1^18 + (2*t^8.241)/g1^6 + g1^6*t^8.259 + t^8.471/g1^20 - g1^16*t^8.523 - (2*t^8.735)/g1^10 - 2*g1^2*t^8.753 - g1^14*t^8.77 + t^8.965/g1^24 - (g1^2*t^4.253)/y - (g1^8*t^6.512)/y - (g1^6*t^6.759)/y + t^7.747/(g1^2*y) + (g1^10*t^7.765)/y + (2*t^7.994)/(g1^4*y) + (g1^8*t^8.012)/y + t^8.241/(g1^6*y) + (2*g1^6*t^8.259)/y + t^8.488/(g1^8*y) + (2*g1^4*t^8.506)/y + t^8.735/(g1^10*y) + (2*g1^2*t^8.753)/y - (g1^14*t^8.77)/y + t^8.982/(g1^12*y) - g1^2*t^4.253*y - g1^8*t^6.512*y - g1^6*t^6.759*y + (t^7.747*y)/g1^2 + g1^10*t^7.765*y + (2*t^7.994*y)/g1^4 + g1^8*t^8.012*y + (t^8.241*y)/g1^6 + 2*g1^6*t^8.259*y + (t^8.488*y)/g1^8 + 2*g1^4*t^8.506*y + (t^8.735*y)/g1^10 + 2*g1^2*t^8.753*y - g1^14*t^8.77*y + (t^8.982*y)/g1^12 |
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 |
---|---|---|---|---|---|---|---|---|
4837 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{7}$ + ${ }M_{3}M_{8}$ | 0.6076 | 0.7394 | 0.8219 | [X:[1.4215], M:[1.1074, 0.5785, 0.7644, 0.9215, 1.0785, 1.0, 0.8926, 1.2356], q:[0.6034, 0.2893], qb:[0.6322, 0.7893], phi:[0.4215]] | t^2.529 + t^2.678 + t^2.764 + t^3. + t^3.236 + t^3.707 + t^3.942 + t^4.029 + t^4.178 + t^4.264 + t^4.885 + t^5.058 + t^5.207 + t^5.293 + t^5.356 + t^5.442 + 2*t^5.529 + t^5.678 + t^5.764 - t^6. - t^4.264/y - t^4.264*y | detail | |
4834 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{7}$ + ${ }M_{4}M_{8}$ | 0.6189 | 0.7601 | 0.8142 | [X:[1.4201], M:[1.1003, 0.5799, 0.7602, 0.9201, 1.0799, 1.0, 0.8997, 1.0799], q:[0.6097, 0.29], qb:[0.6301, 0.79], phi:[0.4201]] | t^2.281 + t^2.52 + t^2.699 + t^3. + 2*t^3.24 + t^3.959 + t^4.02 + t^4.199 + t^4.26 + t^4.561 + t^4.801 + t^4.919 + t^4.98 + t^5.041 + t^5.219 + t^5.281 + t^5.398 + 3*t^5.52 + t^5.699 + t^5.76 + t^5.939 - 2*t^6. - t^4.26/y - t^4.26*y | detail | |
4839 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{7}$ + ${ }M_{8}\phi_{1}q_{1}q_{2}$ | 0.6471 | 0.8137 | 0.7953 | [X:[1.4174], M:[1.0872, 0.5826, 0.7523, 0.9174, 1.0826, 1.0, 0.9128, 0.6698], q:[0.6215, 0.2913], qb:[0.6262, 0.7913], phi:[0.4174]] | t^2.009 + t^2.257 + t^2.505 + t^2.738 + t^2.752 + t^3. + t^3.248 + t^4.005 + t^4.019 + t^4.238 + t^4.252 + t^4.266 + 2*t^4.514 + t^4.748 + 2*t^4.762 + t^4.981 + t^4.995 + 3*t^5.009 + t^5.243 + 3*t^5.257 + t^5.477 + t^5.491 + 3*t^5.505 + t^5.738 + t^5.752 - t^6. - t^4.252/y - t^4.252*y | detail | |
4838 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.6124 | 0.7491 | 0.8176 | [X:[1.4216], M:[1.1081, 0.5784, 0.7648, 0.9216, 1.0784, 1.0, 0.8919, 1.1568], q:[0.6027, 0.2892], qb:[0.6324, 0.7892], phi:[0.4216]] | t^2.295 + t^2.676 + t^2.765 + t^3. + t^3.235 + t^3.47 + t^3.941 + t^4.03 + t^4.176 + t^4.265 + t^4.589 + t^4.881 + t^4.97 + t^5.059 + t^5.295 + t^5.352 + t^5.441 + 2*t^5.53 + t^5.676 + t^5.765 - t^6. - t^4.265/y - t^4.265*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 |
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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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
1563 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{2}X_{1}$ | 0.6212 | 0.7642 | 0.8129 | [X:[1.4041], M:[1.0207, 0.5959, 0.7124, 0.9041, 1.0959, 1.0], q:[0.6814, 0.2979], qb:[0.6062, 0.7979], phi:[0.4041]] | t^2.137 + t^2.425 + t^2.712 + t^3. + t^3.062 + t^3.288 + t^3.925 + t^4.15 + t^4.212 + t^4.274 + t^4.438 + t^4.562 + 2*t^4.85 + 2*t^5.137 + t^5.199 + t^5.301 + 3*t^5.425 + t^5.487 + t^5.712 - t^6. - t^4.212/y - t^4.212*y | detail |