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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4838 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.6124 | 0.7491 | 0.8176 | [X:[1.4216], M:[1.1081, 0.5784, 0.7648, 0.9216, 1.0784, 1.0, 0.8919, 1.1568], q:[0.6027, 0.2892], qb:[0.6324, 0.7892], phi:[0.4216]] | [X:[[2]], M:[[10], [-2], [6], [2], [-2], [0], [-10], [-4]], q:[[-9], [-1]], qb:[[3], [-1]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{7}$, ${ }M_{4}$, ${ }M_{6}$, ${ }M_{5}$, ${ }M_{8}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{7}^{2}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}M_{7}$, ${ }M_{4}M_{6}$, ${ }M_{3}M_{8}$ | ${}$ | -1 | t^2.295 + t^2.676 + t^2.765 + t^3. + t^3.235 + t^3.47 + t^3.941 + t^4.03 + t^4.176 + t^4.265 + t^4.589 + t^4.881 + t^4.97 + t^5.059 + t^5.295 + t^5.352 + t^5.441 + 2*t^5.53 + t^5.676 + t^5.765 - t^6. - t^6.089 + t^6.146 + 2*t^6.235 + t^6.47 + t^6.616 + t^6.705 + t^6.852 + t^6.884 + 2*t^6.941 + t^7.03 + t^7.176 + t^7.411 + t^7.557 + t^7.589 + 2*t^7.646 + t^7.735 + 2*t^7.824 + t^7.881 + t^8.027 + t^8.059 + 2*t^8.116 + t^8.205 + 2*t^8.352 + t^8.441 + 2*t^8.53 - 2*t^8.676 - 2*t^8.765 + 2*t^8.822 - t^8.854 + t^8.911 - t^4.265/y - t^6.559/y + (2*t^7.97)/y + t^8.059/y + t^8.295/y + t^8.441/y + t^8.53/y + t^8.676/y + (2*t^8.765)/y - t^8.854/y + t^8.911/y - t^4.265*y - t^6.559*y + 2*t^7.97*y + t^8.059*y + t^8.295*y + t^8.441*y + t^8.53*y + t^8.676*y + 2*t^8.765*y - t^8.854*y + t^8.911*y | g1^6*t^2.295 + t^2.676/g1^10 + g1^2*t^2.765 + t^3. + t^3.235/g1^2 + t^3.47/g1^4 + t^3.941/g1^8 + g1^4*t^4.03 + t^4.176/g1^10 + g1^2*t^4.265 + g1^12*t^4.589 + t^4.881/g1^16 + t^4.97/g1^4 + g1^8*t^5.059 + g1^6*t^5.295 + t^5.352/g1^20 + t^5.441/g1^8 + 2*g1^4*t^5.53 + t^5.676/g1^10 + g1^2*t^5.765 - t^6. - g1^12*t^6.089 + t^6.146/g1^14 + (2*t^6.235)/g1^2 + t^6.47/g1^4 + t^6.616/g1^18 + t^6.705/g1^6 + t^6.852/g1^20 + g1^18*t^6.884 + (2*t^6.941)/g1^8 + g1^4*t^7.03 + t^7.176/g1^10 + t^7.411/g1^12 + t^7.557/g1^26 + g1^12*t^7.589 + (2*t^7.646)/g1^14 + t^7.735/g1^2 + 2*g1^10*t^7.824 + t^7.881/g1^16 + t^8.027/g1^30 + g1^8*t^8.059 + (2*t^8.116)/g1^18 + t^8.205/g1^6 + (2*t^8.352)/g1^20 + t^8.441/g1^8 + 2*g1^4*t^8.53 - (2*t^8.676)/g1^10 - 2*g1^2*t^8.765 + (2*t^8.822)/g1^24 - g1^14*t^8.854 + t^8.911/g1^12 - (g1^2*t^4.265)/y - (g1^8*t^6.559)/y + (2*t^7.97)/(g1^4*y) + (g1^8*t^8.059)/y + (g1^6*t^8.295)/y + t^8.441/(g1^8*y) + (g1^4*t^8.53)/y + t^8.676/(g1^10*y) + (2*g1^2*t^8.765)/y - (g1^14*t^8.854)/y + t^8.911/(g1^12*y) - g1^2*t^4.265*y - g1^8*t^6.559*y + (2*t^7.97*y)/g1^4 + g1^8*t^8.059*y + g1^6*t^8.295*y + (t^8.441*y)/g1^8 + g1^4*t^8.53*y + (t^8.676*y)/g1^10 + 2*g1^2*t^8.765*y - g1^14*t^8.854*y + (t^8.911*y)/g1^12 |
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 |
---|---|---|---|---|---|---|---|---|
6472 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ + ${ }M_{9}\phi_{1}q_{1}q_{2}$ | 0.6332 | 0.7894 | 0.8021 | [X:[1.4206], M:[1.1032, 0.5794, 0.7619, 0.9206, 1.0794, 1.0, 0.8968, 1.1587, 0.6826], q:[0.6071, 0.2897], qb:[0.631, 0.7897], phi:[0.4206]] | t^2.048 + t^2.286 + t^2.69 + t^2.762 + t^3. + t^3.238 + t^3.476 + t^4.024 + t^4.095 + t^4.19 + t^4.262 + t^4.334 + t^4.572 + t^4.738 + t^4.81 + t^4.905 + t^4.976 + 2*t^5.048 + 2*t^5.286 + t^5.381 + t^5.452 + 3*t^5.524 + t^5.69 + t^5.762 - t^6. - t^4.262/y - t^4.262*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 |
---|---|---|---|---|---|---|---|---|---|
2674 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{1}M_{7}$ | 0.6263 | 0.7723 | 0.811 | [X:[1.4176], M:[1.0882, 0.5824, 0.7529, 0.9176, 1.0824, 1.0, 0.9118], q:[0.6206, 0.2912], qb:[0.6265, 0.7912], phi:[0.4176]] | t^2.259 + t^2.506 + t^2.735 + t^2.753 + t^3. + t^3.247 + t^3.988 + t^4.006 + t^4.235 + t^4.253 + t^4.518 + t^4.765 + t^4.977 + t^4.994 + 2*t^5.012 + t^5.241 + 2*t^5.259 + t^5.471 + t^5.488 + 3*t^5.506 + t^5.735 + t^5.753 - t^6. - t^4.253/y - t^4.253*y | detail |