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 |
---|---|---|---|---|---|---|---|---|---|
1273 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ | 0.7674 | 0.9598 | 0.7995 | [M:[0.8347, 0.8347, 0.6694, 1.0, 0.8347, 0.8347], q:[0.5, 0.6653], qb:[0.6653, 0.5], phi:[0.4174]] | [M:[[-2], [-2], [-4], [0], [-2], [-2]], q:[[0], [2]], qb:[[2], [0]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{2}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$ | ${}$ | -7 | t^2.008 + 5*t^2.504 + t^3. + t^4.017 + 3*t^4.252 + 5*t^4.512 + 4*t^4.748 + 16*t^5.008 + 3*t^5.244 + t^5.504 - 7*t^6. + t^6.025 + 3*t^6.26 - 4*t^6.496 + 5*t^6.521 + 15*t^6.756 - t^6.992 + 16*t^7.017 + 19*t^7.252 + 36*t^7.512 + 8*t^7.748 - 9*t^8.008 + t^8.033 - 8*t^8.244 + 3*t^8.269 - 34*t^8.504 + 5*t^8.529 - 7*t^8.74 + 15*t^8.765 - t^4.252/y - t^6.26/y - (5*t^6.756)/y + (5*t^7.512)/y + (5*t^7.748)/y + (11*t^8.008)/y + t^8.244/y - t^8.269/y + (5*t^8.504)/y - (5*t^8.765)/y - t^4.252*y - t^6.26*y - 5*t^6.756*y + 5*t^7.512*y + 5*t^7.748*y + 11*t^8.008*y + t^8.244*y - t^8.269*y + 5*t^8.504*y - 5*t^8.765*y | t^2.008/g1^4 + (5*t^2.504)/g1^2 + t^3. + t^4.017/g1^8 + (3*t^4.252)/g1 + (5*t^4.512)/g1^6 + 4*g1*t^4.748 + (16*t^5.008)/g1^4 + 3*g1^3*t^5.244 + t^5.504/g1^2 - 7*t^6. + t^6.025/g1^12 + (3*t^6.26)/g1^5 - 4*g1^2*t^6.496 + (5*t^6.521)/g1^10 + (15*t^6.756)/g1^3 - g1^4*t^6.992 + (16*t^7.017)/g1^8 + (19*t^7.252)/g1 + (36*t^7.512)/g1^6 + 8*g1*t^7.748 - (9*t^8.008)/g1^4 + t^8.033/g1^16 - 8*g1^3*t^8.244 + (3*t^8.269)/g1^9 - (34*t^8.504)/g1^2 + (5*t^8.529)/g1^14 - 7*g1^5*t^8.74 + (15*t^8.765)/g1^7 - t^4.252/(g1*y) - t^6.26/(g1^5*y) - (5*t^6.756)/(g1^3*y) + (5*t^7.512)/(g1^6*y) + (5*g1*t^7.748)/y + (11*t^8.008)/(g1^4*y) + (g1^3*t^8.244)/y - t^8.269/(g1^9*y) + (5*t^8.504)/(g1^2*y) - (5*t^8.765)/(g1^7*y) - (t^4.252*y)/g1 - (t^6.26*y)/g1^5 - (5*t^6.756*y)/g1^3 + (5*t^7.512*y)/g1^6 + 5*g1*t^7.748*y + (11*t^8.008*y)/g1^4 + g1^3*t^8.244*y - (t^8.269*y)/g1^9 + (5*t^8.504*y)/g1^2 - (5*t^8.765*y)/g1^7 |
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 |
---|---|---|---|---|---|---|---|---|
2317 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ | 0.7466 | 0.9183 | 0.813 | [M:[0.8355, 0.8355, 0.6709, 1.0, 0.8355, 0.8355, 1.3291], q:[0.5, 0.6645], qb:[0.6645, 0.5], phi:[0.4177]] | 5*t^2.506 + t^3. + t^3.987 + 3*t^4.253 + 4*t^4.747 + 15*t^5.013 + 3*t^5.24 + t^5.506 - 7*t^6. - t^4.253/y - t^4.253*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 |
---|---|---|---|---|---|---|---|---|---|
794 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ | 0.7536 | 0.9338 | 0.807 | [M:[0.8465, 0.8465, 0.693, 1.0, 0.8465], q:[0.5, 0.6535], qb:[0.6535, 0.5], phi:[0.4233]] | t^2.079 + 4*t^2.54 + t^3. + t^3.46 + t^4.158 + 3*t^4.27 + 4*t^4.619 + 4*t^4.73 + 11*t^5.079 + 3*t^5.191 + t^5.54 - 3*t^6. - t^4.27/y - t^4.27*y | detail |