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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60050 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }q_{1}\tilde{q}_{1}X_{1}$ | 1.1739 | 1.3866 | 0.8466 | [X:[1.5965], M:[1.1929, 0.8424], q:[0.2138, 0.5643], qb:[0.1897, 0.6109], phi:[0.4035]] | [X:[[0, 1]], M:[[0, 2], [0, -12]], q:[[-1, -7], [-1, 7]], qb:[[1, 6], [1, 0]], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}q_{1}^{3}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ | ${}$ | -3 | t^2.26 + t^2.42 + t^2.47 + t^2.53 + t^3.53 + t^3.58 + 2*t^3.63 + t^3.68 + t^4.18 + t^4.19 + t^4.52 + 2*t^4.68 + t^4.74 + 2*t^4.79 + t^4.84 + 2*t^4.9 + t^4.95 + t^5. + t^5.05 + t^5.24 + t^5.34 + t^5.39 + t^5.4 + t^5.45 + t^5.56 + t^5.79 + t^5.84 + 2*t^5.89 + 2*t^5.95 - 3*t^6. + 4*t^6.05 + 4*t^6.11 + 2*t^6.16 + t^6.21 + t^6.44 + 2*t^6.45 - t^6.5 + 2*t^6.6 + 2*t^6.61 + t^6.66 + t^6.71 + t^6.79 + 2*t^6.95 + t^7. + t^7.05 + 3*t^7.1 + 4*t^7.16 + 2*t^7.21 + 5*t^7.26 + 6*t^7.32 + 2*t^7.37 + 2*t^7.42 + t^7.48 + t^7.5 + t^7.53 + t^7.58 + t^7.6 + t^7.65 + 2*t^7.66 + 3*t^7.81 + 3*t^7.82 + 4*t^7.87 - t^7.92 + t^7.97 + t^7.98 + t^8.03 + t^8.05 + t^8.08 + t^8.1 + 2*t^8.16 + 3*t^8.21 - 4*t^8.26 + 6*t^8.32 + t^8.36 + 7*t^8.37 - t^8.42 + t^8.47 + 2*t^8.53 + 5*t^8.58 + 3*t^8.63 + 2*t^8.69 + 4*t^8.71 + t^8.74 - t^8.76 + 7*t^8.87 + t^8.97 - t^4.21/y - t^5.42/y - t^6.47/y - t^6.68/y - t^6.74/y + t^7.68/y + t^7.79/y - (2*t^7.84)/y + t^8./y - t^8.73/y + t^8.79/y + t^8.84/y + (2*t^8.89)/y + (2*t^8.95)/y - t^4.21*y - t^5.42*y - t^6.47*y - t^6.68*y - t^6.74*y + t^7.68*y + t^7.79*y - 2*t^7.84*y + t^8.*y - t^8.73*y + t^8.79*y + t^8.84*y + 2*t^8.89*y + 2*t^8.95*y | g2^13*t^2.26 + t^2.42/g2^2 + t^2.47/g2^7 + t^2.53/g2^12 + g2^7*t^3.53 + g2^2*t^3.58 + (2*t^3.63)/g2^3 + t^3.68/g2^8 + g1^3*g2^11*t^4.18 + t^4.19/(g1^3*g2^8) + g2^26*t^4.52 + 2*g2^11*t^4.68 + g2^6*t^4.74 + 2*g2*t^4.79 + t^4.84/g2^4 + (2*t^4.9)/g2^9 + t^4.95/g2^14 + t^5./g2^19 + t^5.05/g2^24 + (g2^6*t^5.24)/g1^3 + g1^3*g2^15*t^5.34 + g1^3*g2^10*t^5.39 + t^5.4/(g1^3*g2^9) + g1^3*g2^5*t^5.45 + t^5.56/(g1^3*g2^24) + g2^20*t^5.79 + g2^15*t^5.84 + 2*g2^10*t^5.89 + 2*g2^5*t^5.95 - 3*t^6. + (4*t^6.05)/g2^5 + (4*t^6.11)/g2^10 + (2*t^6.16)/g2^15 + t^6.21/g2^20 + g1^3*g2^24*t^6.44 + (2*g2^5*t^6.45)/g1^3 - t^6.5/g1^3 + 2*g1^3*g2^9*t^6.6 + (2*t^6.61)/(g1^3*g2^10) + g1^3*g2^4*t^6.66 + t^6.71/(g1^3*g2^20) + g2^39*t^6.79 + 2*g2^24*t^6.95 + g2^19*t^7. + g2^14*t^7.05 + 3*g2^9*t^7.1 + 4*g2^4*t^7.16 + (2*t^7.21)/g2 + (5*t^7.26)/g2^6 + (6*t^7.32)/g2^11 + (2*t^7.37)/g2^16 + (2*t^7.42)/g2^21 + t^7.48/g2^26 + (g2^19*t^7.5)/g1^3 + t^7.53/g2^31 + t^7.58/g2^36 + g1^3*g2^28*t^7.6 + g1^3*g2^23*t^7.65 + (2*g2^4*t^7.66)/g1^3 + 3*g1^3*g2^8*t^7.81 + (3*t^7.82)/(g1^3*g2^11) + t^7.87/(g1^3*g2^16) + 3*g1^3*g2^3*t^7.87 - t^7.92/(g1^3*g2^21) + (g1^3*t^7.97)/g2^7 + t^7.98/(g1^3*g2^26) + t^8.03/(g1^3*g2^31) + g2^33*t^8.05 + t^8.08/(g1^3*g2^36) + g2^28*t^8.1 + 2*g2^23*t^8.16 + 3*g2^18*t^8.21 - 4*g2^13*t^8.26 + 6*g2^8*t^8.32 + g1^6*g2^22*t^8.36 + t^8.37/(g1^6*g2^16) + 6*g2^3*t^8.37 - t^8.42/g2^2 + t^8.47/g2^7 + (2*t^8.53)/g2^12 + (5*t^8.58)/g2^17 + (3*t^8.63)/g2^22 + (2*t^8.69)/g2^27 + (3*g2^18*t^8.71)/g1^3 + g1^3*g2^37*t^8.71 + t^8.74/g2^32 - (g2^13*t^8.76)/g1^3 + (4*g2^3*t^8.87)/g1^3 + 3*g1^3*g2^22*t^8.87 + g1^3*g2^12*t^8.97 - t^4.21/(g2*y) - t^5.42/(g2^2*y) - (g2^12*t^6.47)/y - t^6.68/(g2^8*y) - t^6.74/(g2^13*y) + (g2^11*t^7.68)/y + (g2*t^7.79)/y - (2*t^7.84)/(g2^4*y) + t^8./(g2^19*y) - (g2^25*t^8.73)/y + (g2^20*t^8.79)/y + (g2^15*t^8.84)/y + (2*g2^10*t^8.89)/y + (2*g2^5*t^8.95)/y - (t^4.21*y)/g2 - (t^5.42*y)/g2^2 - g2^12*t^6.47*y - (t^6.68*y)/g2^8 - (t^6.74*y)/g2^13 + g2^11*t^7.68*y + g2*t^7.79*y - (2*t^7.84*y)/g2^4 + (t^8.*y)/g2^19 - g2^25*t^8.73*y + g2^20*t^8.79*y + g2^15*t^8.84*y + 2*g2^10*t^8.89*y + 2*g2^5*t^8.95*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 |
---|---|---|---|---|---|---|---|---|---|
57647 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | 1.5157 | 1.7657 | 0.8584 | [X:[], M:[0.6733, 0.6733], q:[0.498, 0.498], qb:[0.494, 0.502], phi:[0.3347]] | t^2.01 + 2*t^2.02 + 2*t^2.98 + 2*t^3. + t^3.01 + 2*t^4. + t^4.02 + 2*t^4.03 + 3*t^4.04 + 4*t^4.98 + 4*t^5. + 4*t^5.01 + 5*t^5.02 + 2*t^5.03 + t^5.47 + 2*t^5.49 + t^5.5 + 3*t^5.95 + 3*t^5.98 + 2*t^5.99 - 3*t^6. - t^4./y - t^5.01/y - t^4.*y - t^5.01*y | detail |