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 |
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58563 | SU3adj1nf2 | ${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{1}\tilde{q}_{2}$ | 1.0087 | 1.2346 | 0.8171 | [X:[1.5, 1.5566, 1.4434, 1.5], M:[0.7217, 0.7217, 0.9434], q:[0.2783, 0.2217], qb:[0.2217, 0.2783], phi:[0.5]] | [X:[[0, 0, -1], [0, -1, 0], [0, 1, 0], [0, 0, 1]], M:[[3, 2, 1], [-3, -1, -1], [0, 1, 0]], q:[[-1, -1, 0], [-1, 0, -1]], qb:[[1, 1, 1], [1, 0, 0]], phi:[[0, 0, 0]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }X_{3}$, ${ }M_{2}^{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }X_{4}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }X_{4}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }X_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{3}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}q_{1}q_{2}^{2}$, ${ }M_{1}\phi_{1}q_{1}q_{2}^{2}$, ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | ${}\phi_{1}^{2}q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{2}^{2}$ | -1 | 2*t^2.17 + 2*t^2.83 + 3*t^3. + 2*t^3.67 + 5*t^4.33 + 5*t^4.5 + 2*t^4.67 + 4*t^5. + 8*t^5.17 + 2*t^5.33 + 3*t^5.66 + 7*t^5.83 - t^6. - 3*t^6.17 + 14*t^6.5 + 12*t^6.67 + 2*t^7. + 10*t^7.16 + 28*t^7.33 + 15*t^7.5 + 2*t^7.67 + 6*t^7.83 + 14*t^8. + 2*t^8.17 - 12*t^8.33 + 4*t^8.49 - 6*t^8.5 + 29*t^8.66 + 17*t^8.83 - t^4.5/y - t^6./y - (2*t^6.67)/y + t^7.5/y + t^7.67/y + (4*t^8.)/y + (4*t^8.17)/y + (2*t^8.33)/y + t^8.66/y + (4*t^8.83)/y - t^4.5*y - t^6.*y - 2*t^6.67*y + t^7.5*y + t^7.67*y + 4*t^8.*y + 4*t^8.17*y + 2*t^8.33*y + t^8.66*y + 4*t^8.83*y | t^2.17/(g1^3*g2*g3) + g1^3*g2^2*g3*t^2.17 + 2*g2*t^2.83 + t^3. + t^3./g3 + g3*t^3. + t^3.67/(g1^3*g2*g3^2) + g1^3*g2^2*g3^2*t^3.67 + 3*g2*t^4.33 + t^4.33/(g1^6*g2^2*g3^2) + g1^6*g2^4*g3^2*t^4.33 + t^4.5 + (2*t^4.5)/g3 + 2*g3*t^4.5 + (2*t^4.67)/g2 + (2*t^5.)/(g1^3*g3) + 2*g1^3*g2^3*g3*t^5. + t^5.17/(g1^3*g2) + g1^3*g2^2*t^5.17 + (2*t^5.17)/(g1^3*g2*g3^2) + t^5.17/(g1^3*g2*g3) + g1^3*g2^2*g3*t^5.17 + 2*g1^3*g2^2*g3^2*t^5.17 + t^5.33/(g1^3*g2^2*g3) + g1^3*g2*g3*t^5.33 + 3*g2^2*t^5.66 + g2*t^5.83 + t^5.83/(g1^6*g2^2*g3^3) + (2*g2*t^5.83)/g3 + 2*g2*g3*t^5.83 + g1^6*g2^4*g3^3*t^5.83 - 3*t^6. + t^6./g3^2 + g3^2*t^6. - t^6.17/g2 - t^6.17/(g2*g3) - (g3*t^6.17)/g2 + t^6.5/(g1^3*g3^3) + t^6.5/(g1^9*g2^3*g3^3) + (2*t^6.5)/(g1^3*g3^2) + (3*t^6.5)/(g1^3*g3) + 3*g1^3*g2^3*g3*t^6.5 + 2*g1^3*g2^3*g3^2*t^6.5 + g1^3*g2^3*g3^3*t^6.5 + g1^9*g2^6*g3^3*t^6.5 + (2*t^6.67)/(g1^3*g2) + 2*g1^3*g2^2*t^6.67 + t^6.67/(g1^3*g2*g3^3) + (3*t^6.67)/(g1^3*g2*g3^2) + 3*g1^3*g2^2*g3^2*t^6.67 + g1^3*g2^2*g3^3*t^6.67 - (2*t^6.83)/(g1^3*g2^2*g3^2) + (2*t^6.83)/(g1^3*g2^2*g3) + 2*g1^3*g2*g3*t^6.83 - 2*g1^3*g2*g3^2*t^6.83 + g1^3*t^7. + t^7./(g1^3*g2^3) + 6*g2^2*t^7.16 + (2*t^7.16)/(g1^6*g2*g3^2) + 2*g1^6*g2^5*g3^2*t^7.16 + 4*g2*t^7.33 + t^7.33/(g1^6*g2^2*g3^4) + (2*t^7.33)/(g1^6*g2^2*g3^3) + t^7.33/(g1^6*g2^2*g3^2) + t^7.33/(g1^6*g2^2*g3) + (7*g2*t^7.33)/g3 + 7*g2*g3*t^7.33 + g1^6*g2^4*g3*t^7.33 + g1^6*g2^4*g3^2*t^7.33 + 2*g1^6*g2^4*g3^3*t^7.33 + g1^6*g2^4*g3^4*t^7.33 + 7*t^7.5 + (2*t^7.5)/g3^2 + t^7.5/(g1^6*g2^3*g3^2) + t^7.5/g3 + g3*t^7.5 + 2*g3^2*t^7.5 + g1^6*g2^3*g3^2*t^7.5 + t^7.67/(g2*g3) + (g3*t^7.67)/g2 + (3*g2*t^7.83)/(g1^3*g3) + 3*g1^3*g2^4*g3*t^7.83 + (2*t^8.)/g1^3 + 2*g1^3*g2^3*t^8. + t^8./(g1^9*g2^3*g3^4) - t^8./(g1^3*g3^3) + (4*t^8.)/(g1^3*g3^2) + t^8./(g1^3*g3) + g1^3*g2^3*g3*t^8. + 4*g1^3*g2^3*g3^2*t^8. - g1^3*g2^3*g3^3*t^8. + g1^9*g2^6*g3^4*t^8. + (2*t^8.17)/(g1^3*g2*g3^3) - (2*t^8.17)/(g1^3*g2*g3) + (g1^3*g2^2*t^8.17)/g3 + (g3*t^8.17)/(g1^3*g2) - 2*g1^3*g2^2*g3*t^8.17 + 2*g1^3*g2^2*g3^3*t^8.17 - (2*t^8.33)/(g1^3*g2^2) - 2*g1^3*g2*t^8.33 - (2*t^8.33)/(g1^3*g2^2*g3^2) - (2*t^8.33)/(g1^3*g2^2*g3) - 2*g1^3*g2*g3*t^8.33 - 2*g1^3*g2*g3^2*t^8.33 + 4*g2^3*t^8.49 - g1^3*t^8.5 - t^8.5/(g1^3*g2^3) - (2*t^8.5)/(g1^3*g2^3*g3) - 2*g1^3*g3*t^8.5 + 7*g2^2*t^8.66 + t^8.66/(g1^12*g2^4*g3^4) + t^8.66/(g1^6*g2*g3^4) + (2*t^8.66)/(g1^6*g2*g3^3) + (3*t^8.66)/(g1^6*g2*g3^2) + (g2^2*t^8.66)/g3^2 + (3*g2^2*t^8.66)/g3 + 3*g2^2*g3*t^8.66 + g2^2*g3^2*t^8.66 + 3*g1^6*g2^5*g3^2*t^8.66 + 2*g1^6*g2^5*g3^3*t^8.66 + g1^6*g2^5*g3^4*t^8.66 + g1^12*g2^8*g3^4*t^8.66 - 9*g2*t^8.83 + (2*t^8.83)/(g1^6*g2^2*g3^4) + (3*t^8.83)/(g1^6*g2^2*g3^3) + (2*g2*t^8.83)/g3^2 + (2*t^8.83)/(g1^6*g2^2*g3) + (4*g2*t^8.83)/g3 + 4*g2*g3*t^8.83 + 2*g1^6*g2^4*g3*t^8.83 + 2*g2*g3^2*t^8.83 + 3*g1^6*g2^4*g3^3*t^8.83 + 2*g1^6*g2^4*g3^4*t^8.83 - t^4.5/y - t^6./y - t^6.67/(g1^3*g2*g3*y) - (g1^3*g2^2*g3*t^6.67)/y + t^7.5/y + t^7.67/(g2*y) + (2*t^8.)/(g1^3*g3*y) + (2*g1^3*g2^3*g3*t^8.)/y + t^8.17/(g1^3*g2*y) + (g1^3*g2^2*t^8.17)/y + t^8.17/(g1^3*g2*g3^2*y) + (g1^3*g2^2*g3^2*t^8.17)/y + t^8.33/(g1^3*g2^2*g3*y) + (g1^3*g2*g3*t^8.33)/y + (g2^2*t^8.66)/y - (2*g2*t^8.83)/y + t^8.83/(g1^6*g2^2*g3^3*y) - t^8.83/(g1^6*g2^2*g3^2*y) + (3*g2*t^8.83)/(g3*y) + (3*g2*g3*t^8.83)/y - (g1^6*g2^4*g3^2*t^8.83)/y + (g1^6*g2^4*g3^3*t^8.83)/y - t^4.5*y - t^6.*y - (t^6.67*y)/(g1^3*g2*g3) - g1^3*g2^2*g3*t^6.67*y + t^7.5*y + (t^7.67*y)/g2 + (2*t^8.*y)/(g1^3*g3) + 2*g1^3*g2^3*g3*t^8.*y + (t^8.17*y)/(g1^3*g2) + g1^3*g2^2*t^8.17*y + (t^8.17*y)/(g1^3*g2*g3^2) + g1^3*g2^2*g3^2*t^8.17*y + (t^8.33*y)/(g1^3*g2^2*g3) + g1^3*g2*g3*t^8.33*y + g2^2*t^8.66*y - 2*g2*t^8.83*y + (t^8.83*y)/(g1^6*g2^2*g3^3) - (t^8.83*y)/(g1^6*g2^2*g3^2) + (3*g2*t^8.83*y)/g3 + 3*g2*g3*t^8.83*y - g1^6*g2^4*g3^2*t^8.83*y + g1^6*g2^4*g3^3*t^8.83*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 |
---|---|---|---|---|---|---|---|---|---|
57746 | SU3adj1nf2 | ${}\phi_{1}^{4}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ + ${ }q_{2}\tilde{q}_{2}X_{4}$ + ${ }M_{1}\phi_{1}q_{1}^{2}q_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1.0052 | 1.2251 | 0.8205 | [X:[1.5, 1.5176, 1.4824, 1.5], M:[0.7412, 0.7412], q:[0.2588, 0.2412], qb:[0.2412, 0.2588], phi:[0.5]] | 2*t^2.22 + t^2.95 + 3*t^3. + t^3.05 + 2*t^3.72 + 5*t^4.45 + 5*t^4.5 + 2*t^4.55 + 2*t^5.17 + 8*t^5.22 + 4*t^5.28 + t^5.89 + 4*t^5.95 - t^4.5/y - t^6./y - t^4.5*y - t^6.*y | detail |