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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3965 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.6353 | 0.7844 | 0.8099 | [X:[1.614, 1.2982], M:[0.8421, 0.7018, 1.1579, 0.386, 0.7368, 0.7368, 0.8421, 1.2281], q:[0.4035, 0.7544], qb:[0.4386, 0.8596], phi:[0.386]] | [X:[[0, 1], [0, 7]], M:[[0, 3], [0, -7], [0, -3], [0, -1], [2, -13], [-2, 4], [0, 3], [0, 2]], q:[[1, -4], [-1, 1]], qb:[[-1, 7], [1, 0]], phi:[[0, -1]]] | 2 | {a: 688/1083, c: 1699/2166, X1: 92/57, X2: 74/57, M1: 16/19, M2: 40/57, M3: 22/19, M4: 22/57, M5: 14/19, M6: 14/19, M7: 16/19, M8: 70/57, q1: 23/57, q2: 43/57, qb1: 25/57, qb2: 49/57, phi1: 22/57} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{5}$, ${ }M_{6}$, ${ }M_{1}$, ${ }M_{7}$, ${ }\phi_{1}q_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }X_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}M_{7}$, ${ }M_{1}M_{6}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}q_{1}^{2}$, ${ }M_{6}\phi_{1}q_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{5}M_{8}$, ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{6}M_{8}$, ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ | ${}$ | -3 | 2*t^2.211 + 2*t^2.526 + 2*t^3.579 + 2*t^3.684 + t^3.895 + 3*t^4.421 + 4*t^4.737 + t^4.842 + 3*t^5.053 + 3*t^5.789 + 2*t^5.895 - 3*t^6. + 4*t^6.105 + 3*t^6.211 + 2*t^6.421 + 4*t^6.632 + 5*t^6.947 + 6*t^7.263 + t^7.368 + 5*t^7.579 + t^7.789 + 4*t^8. + 2*t^8.105 - 6*t^8.211 + 5*t^8.316 + 2*t^8.421 - 6*t^8.526 + 4*t^8.632 + 4*t^8.737 + 5*t^8.842 + 3*t^8.947 - t^4.158/y - (2*t^6.368)/y - t^6.684/y + t^7.421/y + t^7.632/y + (4*t^7.737)/y + (2*t^7.947)/y + t^8.053/y - (3*t^8.579)/y + (4*t^8.789)/y + (2*t^8.895)/y - t^4.158*y - 2*t^6.368*y - t^6.684*y + t^7.421*y + t^7.632*y + 4*t^7.737*y + 2*t^7.947*y + t^8.053*y - 3*t^8.579*y + 4*t^8.789*y + 2*t^8.895*y | (g1^2*t^2.211)/g2^13 + (g2^4*t^2.211)/g1^2 + 2*g2^3*t^2.526 + (g1^2*t^3.579)/g2^9 + (g2^8*t^3.579)/g1^2 + 2*g2^2*t^3.684 + g2^7*t^3.895 + (g1^4*t^4.421)/g2^26 + t^4.421/g2^9 + (g2^8*t^4.421)/g1^4 + (2*g1^2*t^4.737)/g2^10 + (2*g2^7*t^4.737)/g1^2 + g2*t^4.842 + 3*g2^6*t^5.053 + (g1^4*t^5.789)/g2^22 + t^5.789/g2^5 + (g2^12*t^5.789)/g1^4 + (g1^2*t^5.895)/g2^11 + (g2^6*t^5.895)/g1^2 - 3*t^6. + (2*g1^2*t^6.105)/g2^6 + (2*g2^11*t^6.105)/g1^2 + 3*g2^5*t^6.211 + 2*g2^10*t^6.421 + (g1^6*t^6.632)/g2^39 + (g1^2*t^6.632)/g2^22 + t^6.632/(g1^2*g2^5) + (g2^12*t^6.632)/g1^6 + (2*g1^4*t^6.947)/g2^23 + t^6.947/g2^6 + (2*g2^11*t^6.947)/g1^4 + (g1^4*t^7.158)/g2^18 - (2*t^7.158)/g2 + (g2^16*t^7.158)/g1^4 + (3*g1^2*t^7.263)/g2^7 + (3*g2^10*t^7.263)/g1^2 + g2^4*t^7.368 + 5*g2^9*t^7.579 + g2^14*t^7.789 + (g1^6*t^8.)/g2^35 + (g1^2*t^8.)/g2^18 + t^8./(g1^2*g2) + (g2^16*t^8.)/g1^6 + (g1^4*t^8.105)/g2^24 + (g2^10*t^8.105)/g1^4 - (3*g1^2*t^8.211)/g2^13 - (3*g2^4*t^8.211)/g1^2 + (2*g1^4*t^8.316)/g2^19 + t^8.316/g2^2 + (2*g2^15*t^8.316)/g1^4 + (g1^2*t^8.421)/g2^8 + (g2^9*t^8.421)/g1^2 - 6*g2^3*t^8.526 + (2*g1^2*t^8.632)/g2^3 + (2*g2^14*t^8.632)/g1^2 + 4*g2^8*t^8.737 + (g1^8*t^8.842)/g2^52 + (g1^4*t^8.842)/g2^35 + t^8.842/g2^18 + t^8.842/(g1^4*g2) + (g2^16*t^8.842)/g1^8 + 3*g2^13*t^8.947 - t^4.158/(g2*y) - (g1^2*t^6.368)/(g2^14*y) - (g2^3*t^6.368)/(g1^2*y) - (g2^2*t^6.684)/y + t^7.421/(g2^9*y) + t^7.632/(g2^4*y) + (2*g1^2*t^7.737)/(g2^10*y) + (2*g2^7*t^7.737)/(g1^2*y) + (g1^2*t^7.947)/(g2^5*y) + (g2^12*t^7.947)/(g1^2*y) + (g2^6*t^8.053)/y - (g1^4*t^8.579)/(g2^27*y) - t^8.579/(g2^10*y) - (g2^7*t^8.579)/(g1^4*y) + (g1^4*t^8.789)/(g2^22*y) + (2*t^8.789)/(g2^5*y) + (g2^12*t^8.789)/(g1^4*y) + (g1^2*t^8.895)/(g2^11*y) + (g2^6*t^8.895)/(g1^2*y) - (t^4.158*y)/g2 - (g1^2*t^6.368*y)/g2^14 - (g2^3*t^6.368*y)/g1^2 - g2^2*t^6.684*y + (t^7.421*y)/g2^9 + (t^7.632*y)/g2^4 + (2*g1^2*t^7.737*y)/g2^10 + (2*g2^7*t^7.737*y)/g1^2 + (g1^2*t^7.947*y)/g2^5 + (g2^12*t^7.947*y)/g1^2 + g2^6*t^8.053*y - (g1^4*t^8.579*y)/g2^27 - (t^8.579*y)/g2^10 - (g2^7*t^8.579*y)/g1^4 + (g1^4*t^8.789*y)/g2^22 + (2*t^8.789*y)/g2^5 + (g2^12*t^8.789*y)/g1^4 + (g1^2*t^8.895*y)/g2^11 + (g2^6*t^8.895*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|---|
3701 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{2}$ + ${ }M_{3}M_{7}$ | 0.6534 | 0.8169 | 0.7999 | [X:[1.6158, 1.3109], M:[0.8475, 0.6891, 1.1525, 0.3842, 0.7287, 0.7287, 0.8475], q:[0.404, 0.7485], qb:[0.4436, 0.8673], phi:[0.3842]] | 2*t^2.186 + t^2.305 + 2*t^2.543 + 2*t^3.576 + t^3.695 + t^3.933 + 3*t^4.372 + 2*t^4.491 + t^4.61 + 4*t^4.729 + 3*t^4.848 + 3*t^5.085 + 3*t^5.762 + 2*t^5.881 - 2*t^6. - t^4.152/y - t^4.152*y | detail |