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 |
---|---|---|---|---|---|---|---|---|---|
57584 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ | 0.6919 | 0.8774 | 0.7887 | [M:[1.2, 0.8996, 0.8, 0.8332, 0.7336, 0.8, 0.9328], q:[0.4166, 0.3834], qb:[0.6838, 0.7834], phi:[0.4332]] | [M:[[0], [-6], [0], [-2], [4], [0], [-8]], q:[[-1], [1]], qb:[[7], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{3}$, ${ }M_{6}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{7}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{5}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{7}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{4}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{1}M_{5}$ | ${}$ | -1 | t^2.201 + 2*t^2.4 + t^2.5 + t^2.599 + t^2.699 + t^2.799 + t^3.6 + t^3.7 + 2*t^4.401 + t^4.501 + 3*t^4.601 + t^4.7 + 4*t^4.8 + 3*t^4.9 + 4*t^4.999 + 2*t^5.099 + 3*t^5.199 + 2*t^5.298 + 2*t^5.398 + t^5.402 + t^5.497 + t^5.597 + t^5.801 - t^6. + t^6.1 + t^6.199 + t^6.299 + t^6.399 + 2*t^6.602 + t^6.702 + 3*t^6.801 + 2*t^6.901 + 5*t^7.001 + 4*t^7.1 + 8*t^7.2 + 5*t^7.3 + 8*t^7.399 + 6*t^7.499 + 7*t^7.599 + t^7.603 + 5*t^7.698 + 6*t^7.798 + t^7.802 + 4*t^7.897 + 4*t^7.997 + t^8.001 + 3*t^8.097 + 2*t^8.196 - 2*t^8.201 + t^8.296 - 2*t^8.3 + t^8.396 - 3*t^8.4 - 2*t^8.5 - 2*t^8.599 - 2*t^8.699 - 2*t^8.799 + 2*t^8.803 + t^8.903 - t^4.3/y - t^6.5/y - t^6.7/y - t^6.799/y - t^6.899/y - t^6.999/y - t^7.098/y + t^7.501/y + (3*t^7.601)/y + (2*t^7.7)/y + (3*t^7.8)/y + (4*t^7.9)/y + (3*t^7.999)/y + (4*t^8.099)/y + (3*t^8.199)/y + (2*t^8.298)/y + t^8.398/y + t^8.497/y - t^8.701/y + t^8.801/y - t^4.3*y - t^6.5*y - t^6.7*y - t^6.799*y - t^6.899*y - t^6.999*y - t^7.098*y + t^7.501*y + 3*t^7.601*y + 2*t^7.7*y + 3*t^7.8*y + 4*t^7.9*y + 3*t^7.999*y + 4*t^8.099*y + 3*t^8.199*y + 2*t^8.298*y + t^8.398*y + t^8.497*y - t^8.701*y + t^8.801*y | g1^4*t^2.201 + 2*t^2.4 + t^2.5/g1^2 + t^2.599/g1^4 + t^2.699/g1^6 + t^2.799/g1^8 + t^3.6 + t^3.7/g1^2 + 2*g1^8*t^4.401 + g1^6*t^4.501 + 3*g1^4*t^4.601 + g1^2*t^4.7 + 4*t^4.8 + (3*t^4.9)/g1^2 + (4*t^4.999)/g1^4 + (2*t^5.099)/g1^6 + (3*t^5.199)/g1^8 + (2*t^5.298)/g1^10 + (2*t^5.398)/g1^12 + g1^12*t^5.402 + t^5.497/g1^14 + t^5.597/g1^16 + g1^4*t^5.801 - t^6. + t^6.1/g1^2 + t^6.199/g1^4 + t^6.299/g1^6 + t^6.399/g1^8 + 2*g1^12*t^6.602 + g1^10*t^6.702 + 3*g1^8*t^6.801 + 2*g1^6*t^6.901 + 5*g1^4*t^7.001 + 4*g1^2*t^7.1 + 8*t^7.2 + (5*t^7.3)/g1^2 + (8*t^7.399)/g1^4 + (6*t^7.499)/g1^6 + (7*t^7.599)/g1^8 + g1^16*t^7.603 + (5*t^7.698)/g1^10 + (6*t^7.798)/g1^12 + g1^12*t^7.802 + (4*t^7.897)/g1^14 + (4*t^7.997)/g1^16 + g1^8*t^8.001 + (3*t^8.097)/g1^18 + (2*t^8.196)/g1^20 - 2*g1^4*t^8.201 + t^8.296/g1^22 - 2*g1^2*t^8.3 + t^8.396/g1^24 - 3*t^8.4 - (2*t^8.5)/g1^2 - (2*t^8.599)/g1^4 - (2*t^8.699)/g1^6 - (2*t^8.799)/g1^8 + 2*g1^16*t^8.803 + g1^14*t^8.903 - t^4.3/(g1^2*y) - (g1^2*t^6.5)/y - t^6.7/(g1^2*y) - t^6.799/(g1^4*y) - t^6.899/(g1^6*y) - t^6.999/(g1^8*y) - t^7.098/(g1^10*y) + (g1^6*t^7.501)/y + (3*g1^4*t^7.601)/y + (2*g1^2*t^7.7)/y + (3*t^7.8)/y + (4*t^7.9)/(g1^2*y) + (3*t^7.999)/(g1^4*y) + (4*t^8.099)/(g1^6*y) + (3*t^8.199)/(g1^8*y) + (2*t^8.298)/(g1^10*y) + t^8.398/(g1^12*y) + t^8.497/(g1^14*y) - (g1^6*t^8.701)/y + (g1^4*t^8.801)/y - (t^4.3*y)/g1^2 - g1^2*t^6.5*y - (t^6.7*y)/g1^2 - (t^6.799*y)/g1^4 - (t^6.899*y)/g1^6 - (t^6.999*y)/g1^8 - (t^7.098*y)/g1^10 + g1^6*t^7.501*y + 3*g1^4*t^7.601*y + 2*g1^2*t^7.7*y + 3*t^7.8*y + (4*t^7.9*y)/g1^2 + (3*t^7.999*y)/g1^4 + (4*t^8.099*y)/g1^6 + (3*t^8.199*y)/g1^8 + (2*t^8.298*y)/g1^10 + (t^8.398*y)/g1^12 + (t^8.497*y)/g1^14 - g1^6*t^8.701*y + g1^4*t^8.801*y |
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 |
---|---|---|---|---|---|---|---|---|
58649 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}q_{2}\tilde{q}_{1}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.6807 | 0.8582 | 0.7931 | [M:[1.2, 0.9214, 0.8, 0.8405, 0.7191, 0.8, 0.9618, 1.1191], q:[0.4202, 0.3798], qb:[0.6584, 0.7798], phi:[0.4405]] | t^2.157 + 2*t^2.4 + t^2.521 + t^2.764 + t^2.886 + t^3.357 + t^3.6 + t^3.721 + 2*t^4.314 + t^4.436 + 3*t^4.557 + t^4.679 + 3*t^4.8 + 3*t^4.921 + 2*t^5.043 + t^5.164 + t^5.272 + 2*t^5.286 + t^5.407 + t^5.514 + t^5.528 + t^5.65 + 3*t^5.757 + t^5.771 + t^5.879 - t^6. - t^4.321/y - t^4.321*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 |
---|---|---|---|---|---|---|---|---|---|
55917 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{6}$ | 0.6888 | 0.8731 | 0.7889 | [M:[1.2, 0.9495, 0.8, 0.8498, 0.7003, 0.8], q:[0.4249, 0.3751], qb:[0.6255, 0.7751], phi:[0.4498]] | t^2.101 + 2*t^2.4 + t^2.55 + t^2.699 + t^2.849 + t^3.002 + t^3.6 + t^3.75 + 2*t^4.202 + t^4.351 + 3*t^4.501 + t^4.65 + 4*t^4.8 + 3*t^4.95 + 3*t^5.099 + 2*t^5.103 + 2*t^5.249 + t^5.398 + 2*t^5.402 + t^5.548 + t^5.551 + t^5.697 + 2*t^5.701 + t^5.85 - t^6. - t^4.35/y - t^4.35*y | detail |