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 |
---|---|---|---|---|---|---|---|---|---|
55497 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{2}M_{6}$ | 0.7032 | 0.8663 | 0.8117 | [M:[0.9262, 1.0738, 1.0246, 0.877, 1.0, 0.9262], q:[0.4754, 0.5984], qb:[0.4508, 0.5246], phi:[0.4877]] | [M:[[-6], [6], [2], [-10], [0], [-6]], q:[[-2], [8]], qb:[[-4], [2]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{1}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$ | ${}$ | -2 | t^2.631 + 2*t^2.779 + t^2.926 + t^3. + t^3.074 + t^3.148 + t^4.168 + t^4.242 + t^4.315 + t^4.389 + t^4.463 + 2*t^4.611 + t^4.685 + t^4.832 + t^5.054 + t^5.262 + 2*t^5.409 + 3*t^5.557 + 3*t^5.705 + t^5.779 + 2*t^5.852 + 2*t^5.926 - 2*t^6. + t^6.074 - t^6.221 + t^6.295 - t^6.369 - t^6.443 + t^6.799 + t^6.873 + 3*t^6.946 + 2*t^7.02 + 3*t^7.094 + 3*t^7.168 + 3*t^7.242 + 3*t^7.315 + 4*t^7.389 + t^7.463 + t^7.537 + 2*t^7.611 - t^7.685 + 2*t^7.758 + t^7.832 + t^7.893 - t^7.906 + t^7.98 + 2*t^8.04 + 3*t^8.188 + t^8.201 + 6*t^8.336 + t^8.409 + 5*t^8.483 + 2*t^8.557 + 2*t^8.631 + t^8.705 - 2*t^8.779 + 2*t^8.852 - 2*t^8.926 - t^4.463/y - t^7.094/y - t^7.242/y + t^7.685/y + t^7.832/y + (2*t^8.409)/y + (2*t^8.557)/y + t^8.631/y + (3*t^8.705)/y + (3*t^8.779)/y + (2*t^8.852)/y + (3*t^8.926)/y - t^4.463*y - t^7.094*y - t^7.242*y + t^7.685*y + t^7.832*y + 2*t^8.409*y + 2*t^8.557*y + t^8.631*y + 3*t^8.705*y + 3*t^8.779*y + 2*t^8.852*y + 3*t^8.926*y | t^2.631/g1^10 + (2*t^2.779)/g1^6 + t^2.926/g1^2 + t^3. + g1^2*t^3.074 + g1^4*t^3.148 + t^4.168/g1^9 + t^4.242/g1^7 + t^4.315/g1^5 + t^4.389/g1^3 + t^4.463/g1 + 2*g1^3*t^4.611 + g1^5*t^4.685 + g1^9*t^4.832 + g1^15*t^5.054 + t^5.262/g1^20 + (2*t^5.409)/g1^16 + (3*t^5.557)/g1^12 + (3*t^5.705)/g1^8 + t^5.779/g1^6 + (2*t^5.852)/g1^4 + (2*t^5.926)/g1^2 - 2*t^6. + g1^2*t^6.074 - g1^6*t^6.221 + g1^8*t^6.295 - g1^10*t^6.369 - g1^12*t^6.443 + t^6.799/g1^19 + t^6.873/g1^17 + (3*t^6.946)/g1^15 + (2*t^7.02)/g1^13 + (3*t^7.094)/g1^11 + (3*t^7.168)/g1^9 + (3*t^7.242)/g1^7 + (3*t^7.315)/g1^5 + (4*t^7.389)/g1^3 + t^7.463/g1 + g1*t^7.537 + 2*g1^3*t^7.611 - g1^5*t^7.685 + 2*g1^7*t^7.758 + g1^9*t^7.832 + t^7.893/g1^30 - g1^11*t^7.906 + g1^13*t^7.98 + (2*t^8.04)/g1^26 + (3*t^8.188)/g1^22 + g1^19*t^8.201 + (6*t^8.336)/g1^18 + t^8.409/g1^16 + (5*t^8.483)/g1^14 + (2*t^8.557)/g1^12 + (2*t^8.631)/g1^10 + t^8.705/g1^8 - (2*t^8.779)/g1^6 + (2*t^8.852)/g1^4 - (2*t^8.926)/g1^2 - t^4.463/(g1*y) - t^7.094/(g1^11*y) - t^7.242/(g1^7*y) + (g1^5*t^7.685)/y + (g1^9*t^7.832)/y + (2*t^8.409)/(g1^16*y) + (2*t^8.557)/(g1^12*y) + t^8.631/(g1^10*y) + (3*t^8.705)/(g1^8*y) + (3*t^8.779)/(g1^6*y) + (2*t^8.852)/(g1^4*y) + (3*t^8.926)/(g1^2*y) - (t^4.463*y)/g1 - (t^7.094*y)/g1^11 - (t^7.242*y)/g1^7 + g1^5*t^7.685*y + g1^9*t^7.832*y + (2*t^8.409*y)/g1^16 + (2*t^8.557*y)/g1^12 + (t^8.631*y)/g1^10 + (3*t^8.705*y)/g1^8 + (3*t^8.779*y)/g1^6 + (2*t^8.852*y)/g1^4 + (3*t^8.926*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|
57053 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.701 | 0.8621 | 0.8131 | [M:[0.9333, 1.0667, 1.0222, 0.8888, 1.0, 0.9333, 1.0222], q:[0.4778, 0.5889], qb:[0.4555, 0.5222], phi:[0.4889]] | t^2.667 + 2*t^2.8 + t^3. + 2*t^3.067 + t^3.133 + t^4.2 + t^4.267 + t^4.333 + t^4.4 + t^4.467 + 2*t^4.6 + t^4.667 + t^4.8 + t^5. + t^5.333 + 2*t^5.466 + 2*t^5.6 + 2*t^5.733 + t^5.8 + 3*t^5.867 + t^5.933 - 3*t^6. - t^4.467/y - t^4.467*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 |
---|---|---|---|---|---|---|---|---|---|
47161 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{5}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{1}M_{2}$ | 0.6973 | 0.8552 | 0.8154 | [M:[0.9472, 1.0528, 1.0176, 0.912, 1.0], q:[0.4824, 0.5704], qb:[0.4648, 0.5176], phi:[0.4912]] | t^2.736 + t^2.842 + t^2.947 + t^3. + t^3.053 + t^3.106 + t^3.158 + t^4.262 + t^4.315 + t^4.368 + t^4.421 + t^4.474 + 2*t^4.579 + t^4.632 + t^4.738 + t^4.896 + t^5.472 + t^5.577 + t^5.683 + 2*t^5.789 + 2*t^5.894 + t^5.947 - t^6. - t^4.474/y - t^4.474*y | detail |