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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56788 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ + ${ }M_{5}M_{7}$ | 0.5884 | 0.7256 | 0.8109 | [X:[1.4144], M:[1.1712, 0.976, 0.8288, 0.5856, 1.024, 0.7808, 0.976], q:[0.2928, 0.536], qb:[0.7312, 0.8784], phi:[0.3904]] | [X:[[6]], M:[[-12], [-10], [12], [-6], [10], [-8], [-10]], q:[[-3], [15]], qb:[[13], [-9]], phi:[[-4]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{2}$, ${ }M_{7}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{1}\phi_{1}^{2}$ | ${}$ | -2 | 2*t^2.342 + t^2.486 + 2*t^2.928 + t^3.514 + t^3.801 + t^4.243 + t^4.387 + 3*t^4.685 + 3*t^4.829 + t^4.973 + 3*t^5.27 + t^5.414 + 4*t^5.856 - 2*t^6. + t^6.144 + t^6.288 + t^6.442 - t^6.586 + 3*t^6.73 + t^6.873 + 4*t^7.027 + 4*t^7.171 + 2*t^7.315 + t^7.603 + 4*t^7.613 + 2*t^7.757 - t^7.901 + t^8.189 + 5*t^8.199 - 3*t^8.342 - 2*t^8.486 + 2*t^8.63 + 2*t^8.774 + 4*t^8.784 - 6*t^8.928 - t^4.171/y - (2*t^6.514)/y - t^7.099/y + t^7.243/y + t^7.685/y + (4*t^7.829)/y + (4*t^8.27)/y + (2*t^8.414)/y - t^4.171*y - 2*t^6.514*y - t^7.099*y + t^7.243*y + t^7.685*y + 4*t^7.829*y + 4*t^8.27*y + 2*t^8.414*y | (2*t^2.342)/g1^8 + g1^12*t^2.486 + (2*t^2.928)/g1^10 + t^3.514/g1^12 + g1^28*t^3.801 + g1^6*t^4.243 + g1^26*t^4.387 + (3*t^4.685)/g1^16 + 3*g1^4*t^4.829 + g1^24*t^4.973 + (3*t^5.27)/g1^18 + g1^2*t^5.414 + (4*t^5.856)/g1^20 - 2*t^6. + g1^20*t^6.144 + g1^40*t^6.288 + t^6.442/g1^22 - t^6.586/g1^2 + 3*g1^18*t^6.73 + g1^38*t^6.873 + (4*t^7.027)/g1^24 + (4*t^7.171)/g1^4 + 2*g1^16*t^7.315 + g1^56*t^7.603 + (4*t^7.613)/g1^26 + (2*t^7.757)/g1^6 - g1^14*t^7.901 + g1^54*t^8.189 + (5*t^8.199)/g1^28 - (3*t^8.342)/g1^8 - 2*g1^12*t^8.486 + 2*g1^32*t^8.63 + 2*g1^52*t^8.774 + (4*t^8.784)/g1^30 - (6*t^8.928)/g1^10 - t^4.171/(g1^4*y) - (2*t^6.514)/(g1^12*y) - t^7.099/(g1^14*y) + (g1^6*t^7.243)/y + t^7.685/(g1^16*y) + (4*g1^4*t^7.829)/y + (4*t^8.27)/(g1^18*y) + (2*g1^2*t^8.414)/y - (t^4.171*y)/g1^4 - (2*t^6.514*y)/g1^12 - (t^7.099*y)/g1^14 + g1^6*t^7.243*y + (t^7.685*y)/g1^16 + 4*g1^4*t^7.829*y + (4*t^8.27*y)/g1^18 + 2*g1^2*t^8.414*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 |
---|---|---|---|---|---|---|---|---|---|
55152 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ | 0.5868 | 0.7236 | 0.811 | [X:[1.4057], M:[1.1886, 0.9905, 0.8114, 0.5943, 1.0095, 0.7924], q:[0.2971, 0.5143], qb:[0.7124, 0.8914], phi:[0.3962]] | 2*t^2.377 + t^2.434 + t^2.971 + t^3.029 + t^3.566 + t^3.68 + t^4.217 + t^4.274 + 3*t^4.754 + 3*t^4.811 + t^4.868 + t^5.349 + 2*t^5.406 + t^5.463 + 2*t^5.943 - t^6. - t^4.189/y - t^4.189*y | detail |