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 |
---|---|---|---|---|---|---|---|---|---|
57391 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{6}$ | 1.4451 | 1.6366 | 0.883 | [X:[1.3333], M:[0.936], q:[0.4768, 0.4437], qb:[0.5872, 0.4923], phi:[0.3333]] | [X:[[0, 0]], M:[[1, 2]], 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 |
---|---|---|---|---|
${}M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ | ${}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$ | -1 | 2*t^2.808 + t^2.907 + t^3. + t^3.093 + t^3.808 + t^3.907 + t^4. + t^4.093 + t^4.192 + t^4.808 + t^4.907 + 2*t^5.093 + 2*t^5.192 + 3*t^5.616 + 2*t^5.715 + 2*t^5.808 + t^5.814 + t^5.901 + t^5.907 - t^6. + 2*t^6.093 - t^6.099 + t^6.186 + t^6.192 - t^6.285 + 2*t^6.616 + 3*t^6.715 + 3*t^6.808 + t^6.814 + 2*t^6.901 + 2*t^6.907 + t^6.994 + 2*t^7. + 3*t^7.093 + t^7.186 + 2*t^7.192 - t^7.285 + t^7.291 + t^7.431 + 3*t^7.616 + 4*t^7.715 + 2*t^7.814 + 4*t^7.901 + 6*t^8. + 2*t^8.093 + t^8.099 + 2*t^8.186 + 2*t^8.192 + t^8.285 + 4*t^8.424 + 2*t^8.523 + 4*t^8.616 + t^8.623 + t^8.709 + 4*t^8.715 + t^8.722 - 4*t^8.808 + 2*t^8.814 + 5*t^8.901 - 4*t^8.907 + t^8.994 - t^4./y - t^5./y - (2*t^6.808)/y - t^6.907/y - t^7./y - t^7.093/y - (2*t^7.808)/y - t^7.907/y - t^8./y - t^8.093/y + t^8.616/y + (2*t^8.715)/y + t^8.808/y + (2*t^8.901)/y - t^4.*y - t^5.*y - 2*t^6.808*y - t^6.907*y - t^7.*y - t^7.093*y - 2*t^7.808*y - t^7.907*y - t^8.*y - t^8.093*y + t^8.616*y + 2*t^8.715*y + t^8.808*y + 2*t^8.901*y | 2*g1*g2^2*t^2.808 + (g2*t^2.907)/g1 + t^3. + (g1*t^3.093)/g2 + g1*g2^2*t^3.808 + (g2*t^3.907)/g1 + t^4. + (g1*t^4.093)/g2 + t^4.192/(g1*g2^2) + g1*g2^2*t^4.808 + (g2*t^4.907)/g1 + (2*g1*t^5.093)/g2 + (2*t^5.192)/(g1*g2^2) + 3*g1^2*g2^4*t^5.616 + 2*g2^3*t^5.715 + 2*g1*g2^2*t^5.808 + (g2^2*t^5.814)/g1^2 + g1^2*g2*t^5.901 + (g2*t^5.907)/g1 - t^6. + (2*g1*t^6.093)/g2 - t^6.099/(g1^2*g2) + (g1^2*t^6.186)/g2^2 + t^6.192/(g1*g2^2) - t^6.285/g2^3 + 2*g1^2*g2^4*t^6.616 + 3*g2^3*t^6.715 + 3*g1*g2^2*t^6.808 + (g2^2*t^6.814)/g1^2 + 2*g1^2*g2*t^6.901 + (2*g2*t^6.907)/g1 + g1^3*t^6.994 + 2*t^7. + (3*g1*t^7.093)/g2 + (g1^2*t^7.186)/g2^2 + (2*t^7.192)/(g1*g2^2) - t^7.285/g2^3 + t^7.291/(g1^3*g2^3) + g2^6*t^7.431 + 3*g1^2*g2^4*t^7.616 + 4*g2^3*t^7.715 + (2*g2^2*t^7.814)/g1^2 + 4*g1^2*g2*t^7.901 + 6*t^8. + (2*g1*t^8.093)/g2 + t^8.099/(g1^2*g2) + (2*g1^2*t^8.186)/g2^2 + (2*t^8.192)/(g1*g2^2) + t^8.285/g2^3 + 4*g1^3*g2^6*t^8.424 + 2*g1*g2^5*t^8.523 + 4*g1^2*g2^4*t^8.616 + (g2^4*t^8.623)/g1 + g1^3*g2^3*t^8.709 + 4*g2^3*t^8.715 + (g2^3*t^8.722)/g1^3 - 4*g1*g2^2*t^8.808 + (2*g2^2*t^8.814)/g1^2 + 5*g1^2*g2*t^8.901 - (4*g2*t^8.907)/g1 + g1^3*t^8.994 - t^4./y - t^5./y - (2*g1*g2^2*t^6.808)/y - (g2*t^6.907)/(g1*y) - t^7./y - (g1*t^7.093)/(g2*y) - (2*g1*g2^2*t^7.808)/y - (g2*t^7.907)/(g1*y) - t^8./y - (g1*t^8.093)/(g2*y) + (g1^2*g2^4*t^8.616)/y + (2*g2^3*t^8.715)/y + (g1*g2^2*t^8.808)/y + (2*g1^2*g2*t^8.901)/y - t^4.*y - t^5.*y - 2*g1*g2^2*t^6.808*y - (g2*t^6.907*y)/g1 - t^7.*y - (g1*t^7.093*y)/g2 - 2*g1*g2^2*t^7.808*y - (g2*t^7.907*y)/g1 - t^8.*y - (g1*t^8.093*y)/g2 + g1^2*g2^4*t^8.616*y + 2*g2^3*t^8.715*y + g1*g2^2*t^8.808*y + 2*g1^2*g2*t^8.901*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 |
---|---|---|---|---|---|---|---|---|
58546 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{6}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{2}$ | 1.4657 | 1.6764 | 0.8743 | [X:[1.3333], M:[0.9358, 0.6927], q:[0.4786, 0.4404], qb:[0.5857, 0.4954], phi:[0.3333]] | t^2.08 + 2*t^2.81 + t^2.92 + t^3. + t^3.08 + t^3.81 + t^4. + t^4.08 + t^4.16 + t^4.19 + t^4.81 + 2*t^4.89 + t^4.92 + t^5. + 3*t^5.08 + t^5.16 + 2*t^5.19 + 3*t^5.61 + 2*t^5.73 + 2*t^5.81 + t^5.84 + 2*t^5.89 + t^5.92 - t^6. - 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 |
---|---|---|---|---|---|---|---|---|---|
47897 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1.4497 | 1.6322 | 0.8882 | [X:[1.3628], M:[0.9023], q:[0.5128, 0.4792], qb:[0.585, 0.5115], phi:[0.3186]] | t^2.707 + t^2.867 + t^2.972 + t^3.073 + t^3.192 + t^3.928 + t^4.029 + t^4.088 + t^4.148 + t^4.249 + t^4.884 + t^4.984 + t^5.104 + t^5.205 + t^5.369 + t^5.414 + t^5.47 + t^5.574 + t^5.679 + t^5.735 + t^5.779 + t^5.839 + t^5.94 + t^5.944 - 3*t^6. - t^3.956/y - t^4.912/y - t^3.956*y - t^4.912*y | detail |