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 |
---|---|---|---|---|---|---|---|---|---|
1451 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{2}M_{6}$ + ${ }M_{3}M_{4}$ | 0.6948 | 0.8554 | 0.8122 | [M:[0.9646, 1.0354, 0.9646, 1.0354, 0.9646, 0.9646], q:[0.5177, 0.5177], qb:[0.5177, 0.4469], phi:[0.5]] | [M:[[2], [-2], [2], [-2], [2], [2]], q:[[-1], [-1]], qb:[[-1], [3]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{3}$, ${ }M_{5}$, ${ }M_{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | ${}M_{1}M_{4}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{4}q_{1}\tilde{q}_{2}$ | -5 | 5*t^2.894 + t^3. + t^3.106 + t^4.182 + 3*t^4.394 + 6*t^4.606 + 12*t^5.788 + 5*t^5.894 - 5*t^6. + t^6.106 - 2*t^6.212 + 5*t^7.076 + 10*t^7.288 + 15*t^7.5 + t^8.363 + 3*t^8.576 + 20*t^8.682 + 18*t^8.788 - 26*t^8.894 - t^4.5/y - (2*t^7.394)/y + (2*t^7.606)/y + (10*t^8.788)/y + (5*t^8.894)/y - t^4.5*y - 2*t^7.394*y + 2*t^7.606*y + 10*t^8.788*y + 5*t^8.894*y | 5*g1^2*t^2.894 + t^3. + t^3.106/g1^2 + g1^6*t^4.182 + 3*g1^2*t^4.394 + (6*t^4.606)/g1^2 + 12*g1^4*t^5.788 + 5*g1^2*t^5.894 - 5*t^6. + t^6.106/g1^2 - (2*t^6.212)/g1^4 + 5*g1^8*t^7.076 + 10*g1^4*t^7.288 + 15*t^7.5 + g1^12*t^8.363 + 3*g1^8*t^8.576 + 20*g1^6*t^8.682 + 18*g1^4*t^8.788 - 26*g1^2*t^8.894 - t^4.5/y - (2*g1^2*t^7.394)/y + (2*t^7.606)/(g1^2*y) + (10*g1^4*t^8.788)/y + (5*g1^2*t^8.894)/y - t^4.5*y - 2*g1^2*t^7.394*y + (2*t^7.606*y)/g1^2 + 10*g1^4*t^8.788*y + 5*g1^2*t^8.894*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 |
---|---|---|---|---|---|---|---|---|
2520 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{2}M_{6}$ + ${ }M_{3}M_{4}$ + ${ }M_{4}M_{7}$ | 0.6988 | 0.8648 | 0.8081 | [M:[0.9484, 1.0516, 0.9484, 1.0516, 0.9484, 0.9484, 0.9484], q:[0.5258, 0.5258], qb:[0.5258, 0.4226], phi:[0.5]] | 6*t^2.845 + t^3. + t^4.036 + 3*t^4.345 + 6*t^4.655 + 18*t^5.691 + 6*t^5.845 - 10*t^6. - t^4.5/y - t^4.5*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 |
---|---|---|---|---|---|---|---|---|---|
942 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{2}M_{6}$ | 0.7087 | 0.8731 | 0.8117 | [M:[0.841, 1.076, 0.924, 0.9929, 1.0071, 0.924], q:[0.6211, 0.538], qb:[0.4549, 0.4692], phi:[0.4792]] | t^2.523 + 2*t^2.772 + t^2.875 + t^2.979 + t^3.021 + t^3.271 + t^4.167 + t^4.21 + t^4.253 + t^4.416 + t^4.459 + 2*t^4.666 + t^4.708 + t^4.915 + t^5.046 + t^5.164 + 2*t^5.295 + t^5.398 + 3*t^5.544 + 2*t^5.648 + t^5.751 + 2*t^5.794 + t^5.854 + t^5.897 - 3*t^6. - t^4.438/y - t^4.438*y | detail |