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 |
---|---|---|---|---|---|---|---|---|---|
3682 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6555 | 0.8217 | 0.7977 | [X:[1.6173], M:[0.8518, 0.6792, 1.1482, 0.3827, 0.8086, 0.7655], q:[0.4043, 0.7439], qb:[0.4475, 0.8734], phi:[0.3827]] | [X:[[4]], M:[[12], [-28], [-12], [-4], [2], [-8]], q:[[1], [-13]], qb:[[11], [17]], phi:[[-4]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{2}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | ${}$ | -1 | t^2.037 + 2*t^2.296 + t^2.426 + t^2.555 + t^3.445 + t^3.574 + 2*t^3.833 + t^4.075 + 2*t^4.334 + t^4.463 + 4*t^4.593 + 2*t^4.722 + 4*t^4.852 + t^4.981 + t^5.111 + t^5.482 + t^5.612 + t^5.741 + 3*t^5.871 - t^6. + t^6.112 + 3*t^6.129 + t^6.259 + 2*t^6.371 + 2*t^6.388 + t^6.501 + 4*t^6.63 + 2*t^6.76 + 8*t^6.889 + 3*t^7.019 + 6*t^7.148 + 2*t^7.278 + 2*t^7.407 + t^7.52 - t^7.537 + t^7.649 + 3*t^7.666 + t^7.779 + 3*t^7.908 + t^8.15 + 3*t^8.167 - 2*t^8.296 + 2*t^8.409 + 2*t^8.426 + t^8.538 - 3*t^8.555 + 4*t^8.668 + 4*t^8.685 + 2*t^8.797 + 8*t^8.927 + 2*t^8.944 - t^4.148/y - t^6.186/y - (2*t^6.445)/y - t^6.574/y + (2*t^7.334)/y + t^7.463/y + (2*t^7.593)/y + (3*t^7.722)/y + (4*t^7.852)/y + t^7.981/y + t^8.111/y - t^8.223/y - t^8.482/y - t^8.741/y + (3*t^8.871)/y - t^4.148*y - t^6.186*y - 2*t^6.445*y - t^6.574*y + 2*t^7.334*y + t^7.463*y + 2*t^7.593*y + 3*t^7.722*y + 4*t^7.852*y + t^7.981*y + t^8.111*y - t^8.223*y - t^8.482*y - t^8.741*y + 3*t^8.871*y | t^2.037/g1^28 + (2*t^2.296)/g1^8 + g1^2*t^2.426 + g1^12*t^2.555 + t^3.445/g1^12 + t^3.574/g1^2 + 2*g1^18*t^3.833 + t^4.075/g1^56 + (2*t^4.334)/g1^36 + t^4.463/g1^26 + (4*t^4.593)/g1^16 + (2*t^4.722)/g1^6 + 4*g1^4*t^4.852 + g1^14*t^4.981 + g1^24*t^5.111 + t^5.482/g1^40 + t^5.612/g1^30 + t^5.741/g1^20 + (3*t^5.871)/g1^10 - t^6. + t^6.112/g1^84 + 3*g1^10*t^6.129 + g1^20*t^6.259 + (2*t^6.371)/g1^64 + 2*g1^30*t^6.388 + t^6.501/g1^54 + (4*t^6.63)/g1^44 + (2*t^6.76)/g1^34 + (8*t^6.889)/g1^24 + (3*t^7.019)/g1^14 + (6*t^7.148)/g1^4 + 2*g1^6*t^7.278 + 2*g1^16*t^7.407 + t^7.52/g1^68 - g1^26*t^7.537 + t^7.649/g1^58 + 3*g1^36*t^7.666 + t^7.779/g1^48 + (3*t^7.908)/g1^38 + t^8.15/g1^112 + (3*t^8.167)/g1^18 - (2*t^8.296)/g1^8 + (2*t^8.409)/g1^92 + 2*g1^2*t^8.426 + t^8.538/g1^82 - 3*g1^12*t^8.555 + (4*t^8.668)/g1^72 + 4*g1^22*t^8.685 + (2*t^8.797)/g1^62 + (8*t^8.927)/g1^52 + 2*g1^42*t^8.944 - t^4.148/(g1^4*y) - t^6.186/(g1^32*y) - (2*t^6.445)/(g1^12*y) - t^6.574/(g1^2*y) + (2*t^7.334)/(g1^36*y) + t^7.463/(g1^26*y) + (2*t^7.593)/(g1^16*y) + (3*t^7.722)/(g1^6*y) + (4*g1^4*t^7.852)/y + (g1^14*t^7.981)/y + (g1^24*t^8.111)/y - t^8.223/(g1^60*y) - t^8.482/(g1^40*y) - t^8.741/(g1^20*y) + (3*t^8.871)/(g1^10*y) - (t^4.148*y)/g1^4 - (t^6.186*y)/g1^32 - (2*t^6.445*y)/g1^12 - (t^6.574*y)/g1^2 + (2*t^7.334*y)/g1^36 + (t^7.463*y)/g1^26 + (2*t^7.593*y)/g1^16 + (3*t^7.722*y)/g1^6 + 4*g1^4*t^7.852*y + g1^14*t^7.981*y + g1^24*t^8.111*y - (t^8.223*y)/g1^60 - (t^8.482*y)/g1^40 - (t^8.741*y)/g1^20 + (3*t^8.871*y)/g1^10 |
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 |
---|---|---|---|---|---|---|---|---|
3951 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ | 0.6395 | 0.7939 | 0.8055 | [X:[1.6178], M:[0.8533, 0.6756, 1.1467, 0.3822, 0.8089, 0.7645, 1.1911], q:[0.4044, 0.7423], qb:[0.4489, 0.8755], phi:[0.3822]] | t^2.027 + 2*t^2.293 + t^2.56 + t^3.44 + 2*t^3.573 + 2*t^3.84 + t^4.054 + 2*t^4.32 + 4*t^4.587 + 3*t^4.853 + t^5.12 + t^5.467 + 2*t^5.6 + t^5.733 + 4*t^5.867 - 2*t^6. - t^4.147/y - t^4.147*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 |
---|---|---|---|---|---|---|---|---|---|
3260 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ | 0.6372 | 0.7887 | 0.8079 | [X:[1.6157], M:[0.8471, 0.6901, 1.1529, 0.3843, 0.8078], q:[0.4039, 0.749], qb:[0.4432, 0.8667], phi:[0.3843]] | t^2.07 + t^2.306 + t^2.424 + t^2.541 + t^3.459 + t^3.576 + t^3.694 + 2*t^3.812 + t^4.141 + t^4.376 + t^4.494 + 2*t^4.612 + t^4.729 + 3*t^4.847 + t^4.965 + t^5.083 + t^5.529 + t^5.647 + t^5.765 + 2*t^5.882 - t^4.153/y - t^4.153*y | detail |