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 |
---|---|---|---|---|---|---|---|---|---|
58155 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{6}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1.4494 | 1.6447 | 0.8813 | [X:[1.3333], M:[0.938, 0.938], q:[0.4651, 0.4651], qb:[0.5969, 0.4728], phi:[0.3333]] | [X:[[0, 0]], M:[[1, 2], [-1, 1]], q:[[-1, -1], [1, 0]], qb:[[0, -1], [0, 2]], phi:[[0, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}^{3}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$ | ${}$ | -4 | 4*t^2.81 + t^3. + 2*t^3.81 + t^4. + 2*t^4.19 + 2*t^4.81 + 4*t^5.19 + 10*t^5.63 + 4*t^5.81 - 4*t^6. + 2*t^6.19 - t^6.37 + 8*t^6.63 + 6*t^6.81 + 4*t^7. + 6*t^7.19 + t^7.26 - 2*t^7.37 + 11*t^7.63 + 13*t^8. + 4*t^8.19 - t^8.37 + 18*t^8.44 + 14*t^8.63 - 18*t^8.81 - t^4./y - t^5./y - (4*t^6.81)/y - t^7./y - (4*t^7.81)/y - t^8./y + (6*t^8.63)/y + (2*t^8.81)/y - t^4.*y - t^5.*y - 4*t^6.81*y - t^7.*y - 4*t^7.81*y - t^8.*y + 6*t^8.63*y + 2*t^8.81*y | (2*g2*t^2.81)/g1 + 2*g1*g2^2*t^2.81 + t^3. + (g2*t^3.81)/g1 + g1*g2^2*t^3.81 + t^4. + t^4.19/(g1*g2^2) + (g1*t^4.19)/g2 + (g2*t^4.81)/g1 + g1*g2^2*t^4.81 + (2*t^5.19)/(g1*g2^2) + (2*g1*t^5.19)/g2 + (3*g2^2*t^5.63)/g1^2 + 4*g2^3*t^5.63 + 3*g1^2*g2^4*t^5.63 + (2*g2*t^5.81)/g1 + 2*g1*g2^2*t^5.81 - 2*t^6. - t^6./(g1^2*g2) - g1^2*g2*t^6. + t^6.19/(g1*g2^2) + (g1*t^6.19)/g2 - t^6.37/g2^3 + (2*g2^2*t^6.63)/g1^2 + 4*g2^3*t^6.63 + 2*g1^2*g2^4*t^6.63 + (3*g2*t^6.81)/g1 + 3*g1*g2^2*t^6.81 + 2*t^7. + t^7./(g1^2*g2) + g1^2*g2*t^7. + g1^3*t^7.19 + t^7.19/(g1^3*g2^3) + (2*t^7.19)/(g1*g2^2) + (2*g1*t^7.19)/g2 + g2^6*t^7.26 - (2*t^7.37)/g2^3 + (3*g2^2*t^7.63)/g1^2 + 5*g2^3*t^7.63 + 3*g1^2*g2^4*t^7.63 + 7*t^8. + (3*t^8.)/(g1^2*g2) + 3*g1^2*g2*t^8. + (2*t^8.19)/(g1*g2^2) + (2*g1*t^8.19)/g2 - t^8.37/g2^3 + (4*g2^3*t^8.44)/g1^3 + (5*g2^4*t^8.44)/g1 + 5*g1*g2^5*t^8.44 + 4*g1^3*g2^6*t^8.44 + (4*g2^2*t^8.63)/g1^2 + 6*g2^3*t^8.63 + 4*g1^2*g2^4*t^8.63 - (2*t^8.81)/g1^3 - (7*g2*t^8.81)/g1 - 7*g1*g2^2*t^8.81 - 2*g1^3*g2^3*t^8.81 - t^4./y - t^5./y - (2*g2*t^6.81)/(g1*y) - (2*g1*g2^2*t^6.81)/y - t^7./y - (2*g2*t^7.81)/(g1*y) - (2*g1*g2^2*t^7.81)/y - t^8./y + (g2^2*t^8.63)/(g1^2*y) + (4*g2^3*t^8.63)/y + (g1^2*g2^4*t^8.63)/y + (g2*t^8.81)/(g1*y) + (g1*g2^2*t^8.81)/y - t^4.*y - t^5.*y - (2*g2*t^6.81*y)/g1 - 2*g1*g2^2*t^6.81*y - t^7.*y - (2*g2*t^7.81*y)/g1 - 2*g1*g2^2*t^7.81*y - t^8.*y + (g2^2*t^8.63*y)/g1^2 + 4*g2^3*t^8.63*y + g1^2*g2^4*t^8.63*y + (g2*t^8.81*y)/g1 + g1*g2^2*t^8.81*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
57338 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{6}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ | 1.4566 | 1.6487 | 0.8835 | [X:[1.3333], M:[0.9634, 0.9634], q:[0.4993, 0.4993], qb:[0.5373, 0.464], phi:[0.3333]] | 4*t^2.89 + t^3. + 2*t^3.89 + t^4. + 2*t^4.11 + 2*t^4.89 + 2*t^5.11 + t^5.396 + 2*t^5.494 + t^5.616 + 9*t^5.78 + 4*t^5.89 - 5*t^6. - t^4./y - t^5./y - t^4.*y - t^5.*y | detail |