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 |
---|---|---|---|---|---|---|---|---|---|
47911 | SU3adj1nf2 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{6}$ | 1.4406 | 1.6281 | 0.8848 | [X:[1.3333], q:[0.5771, 0.5124], qb:[0.4552, 0.4552], phi:[0.3333]] | [X:[[0, 0]], q:[[1, 1], [-2, -2]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$ | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ 2}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | 0 | 2*t^2.903 + t^3. + 2*t^3.097 + 2*t^3.903 + t^4. + 2*t^4.097 + 2*t^4.903 + 4*t^5.097 + 3*t^5.806 + 2*t^5.903 + 4*t^6.097 + 2*t^6.194 + 4*t^6.806 + 4*t^6.903 + 4*t^7. + 8*t^7.097 + 2*t^7.194 + t^7.611 + 7*t^7.806 + 9*t^8. + 4*t^8.097 + 7*t^8.194 + 2*t^8.708 + 7*t^8.806 - 4*t^8.903 - t^4./y - t^5./y - (2*t^6.903)/y - t^7./y - (2*t^7.097)/y - (2*t^7.903)/y - t^8./y - (2*t^8.097)/y + t^8.806/y - t^4.*y - t^5.*y - 2*t^6.903*y - t^7.*y - 2*t^7.097*y - 2*t^7.903*y - t^8.*y - 2*t^8.097*y + t^8.806*y | t^2.903/(g1*g2^2) + t^2.903/(g1^2*g2) + t^3. + g1^2*g2*t^3.097 + g1*g2^2*t^3.097 + t^3.903/(g1*g2^2) + t^3.903/(g1^2*g2) + t^4. + g1^2*g2*t^4.097 + g1*g2^2*t^4.097 + t^4.903/(g1*g2^2) + t^4.903/(g1^2*g2) + 2*g1^2*g2*t^5.097 + 2*g1*g2^2*t^5.097 + t^5.806/(g1^2*g2^4) + t^5.806/(g1^3*g2^3) + t^5.806/(g1^4*g2^2) + t^5.903/(g1*g2^2) + t^5.903/(g1^2*g2) + 2*g1^2*g2*t^6.097 + 2*g1*g2^2*t^6.097 + g1^4*g2^2*t^6.194 + g1^2*g2^4*t^6.194 + t^6.806/(g1^2*g2^4) + (2*t^6.806)/(g1^3*g2^3) + t^6.806/(g1^4*g2^2) + (2*t^6.903)/(g1*g2^2) + (2*t^6.903)/(g1^2*g2) + 2*t^7. + (g1*t^7.)/g2 + (g2*t^7.)/g1 + g1^3*t^7.097 + 3*g1^2*g2*t^7.097 + 3*g1*g2^2*t^7.097 + g2^3*t^7.097 + g1^4*g2^2*t^7.194 + g1^2*g2^4*t^7.194 + t^7.611/(g1^6*g2^6) + (2*t^7.806)/(g1^2*g2^4) + (3*t^7.806)/(g1^3*g2^3) + (2*t^7.806)/(g1^4*g2^2) + 5*t^8. + (2*g1*t^8.)/g2 + (2*g2*t^8.)/g1 + 2*g1^2*g2*t^8.097 + 2*g1*g2^2*t^8.097 + 2*g1^4*g2^2*t^8.194 + 3*g1^3*g2^3*t^8.194 + 2*g1^2*g2^4*t^8.194 + t^8.708/(g1^3*g2^6) + t^8.708/(g1^6*g2^3) + (2*t^8.806)/(g1^2*g2^4) + (3*t^8.806)/(g1^3*g2^3) + (2*t^8.806)/(g1^4*g2^2) - (2*t^8.903)/(g1*g2^2) - (2*t^8.903)/(g1^2*g2) - t^4./y - t^5./y - t^6.903/(g1*g2^2*y) - t^6.903/(g1^2*g2*y) - t^7./y - (g1^2*g2*t^7.097)/y - (g1*g2^2*t^7.097)/y - t^7.903/(g1*g2^2*y) - t^7.903/(g1^2*g2*y) - t^8./y - (g1^2*g2*t^8.097)/y - (g1*g2^2*t^8.097)/y + t^8.806/(g1^3*g2^3*y) - t^4.*y - t^5.*y - (t^6.903*y)/(g1*g2^2) - (t^6.903*y)/(g1^2*g2) - t^7.*y - g1^2*g2*t^7.097*y - g1*g2^2*t^7.097*y - (t^7.903*y)/(g1*g2^2) - (t^7.903*y)/(g1^2*g2) - t^8.*y - g1^2*g2*t^8.097*y - g1*g2^2*t^8.097*y + (t^8.806*y)/(g1^3*g2^3) |
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 |
---|---|---|---|---|---|---|---|---|
57507 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{6}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ | 1.4612 | 1.6678 | 0.8761 | [X:[1.3333], M:[0.6939], q:[0.5755, 0.5157], qb:[0.4571, 0.4518], phi:[0.3333]] | t^2.08 + t^2.9 + t^2.92 + t^3. + t^3.08 + t^3.1 + t^3.9 + t^4. + t^4.08 + t^4.1 + t^4.16 + t^4.9 + t^4.92 + t^4.98 + t^5. + 3*t^5.08 + 2*t^5.1 + t^5.16 + t^5.18 + t^5.8 + t^5.82 + t^5.84 + t^5.9 + t^5.92 + t^5.98 - t^4./y - t^5./y - t^4.*y - t^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 |
---|---|---|---|---|---|---|---|---|---|
47876 | SU3adj1nf2 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4426 | 1.6227 | 0.889 | [X:[1.353], q:[0.5758, 0.525], qb:[0.4792, 0.4792], phi:[0.3235]] | t^2.911 + 2*t^3.013 + 2*t^3.165 + 2*t^3.983 + t^4.059 + 2*t^4.135 + 2*t^4.953 + 2*t^5.106 + 2*t^5.283 + t^5.823 + 2*t^5.924 - 5*t^6. - t^3.97/y - t^4.941/y - t^3.97*y - t^4.941*y | detail |