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 |
---|---|---|---|---|---|---|---|---|---|
45333 | SO5adj1nf2 | ${}M_{1}\phi_{1}^{2}q_{1}$ + ${ }M_{2}q_{1}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}q_{1}q_{2}$ | 1.8029 | 1.9214 | 0.9383 | [X:[], M:[0.8418, 1.1582, 0.8418, 1.106], q:[0.4209, 0.4731], qb:[], phi:[0.3687]] | [X:[], M:[[4], [-4], [4], [-9]], q:[[2], [7]], qb:[], phi:[[-3]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{2}^{2}$, ${ }M_{4}$, ${ }\phi_{1}^{2}q_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }\phi_{1}^{2}q_{2}^{2}$, ${ }M_{1}q_{2}^{2}$, ${ }M_{3}q_{2}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }q_{2}^{4}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}q_{2}$ | ${2}\phi_{1}^{3}q_{1}q_{2}$ | 0 | t^2.21 + 2*t^2.53 + t^2.84 + t^3.32 + t^3.63 + t^3.79 + 2*t^4.42 + 3*t^4.74 + t^4.89 + 5*t^5.05 + 2*t^5.36 + t^5.53 + t^5.68 + 2*t^5.84 + 2*t^6.16 + 2*t^6.31 + t^6.47 + t^6.63 + 3*t^6.64 - t^6.79 + 4*t^6.95 + t^7.11 + 8*t^7.26 + 3*t^7.42 + 9*t^7.58 + t^7.73 + 2*t^7.74 + 5*t^7.89 + 3*t^8.06 + 2*t^8.2 + t^8.21 + 3*t^8.37 + t^8.52 + 4*t^8.68 + 3*t^8.84 + 4*t^8.85 - t^4.11/y - t^5.37/y - t^5.53/y - (2*t^6.32)/y - (2*t^6.63)/y - t^6.94/y - t^7.42/y - t^7.58/y - (2*t^7.89)/y - t^8.21/y + t^8.36/y - (2*t^8.53)/y - t^8.84/y - t^4.11*y - t^5.37*y - t^5.53*y - 2*t^6.32*y - 2*t^6.63*y - t^6.94*y - t^7.42*y - t^7.58*y - 2*t^7.89*y - t^8.21*y + t^8.36*y - 2*t^8.53*y - t^8.84*y | t^2.21/g1^6 + 2*g1^4*t^2.53 + g1^14*t^2.84 + t^3.32/g1^9 + g1*t^3.63 + g1^6*t^3.79 + (2*t^4.42)/g1^12 + (3*t^4.74)/g1^2 + g1^3*t^4.89 + 5*g1^8*t^5.05 + 2*g1^18*t^5.36 + t^5.53/g1^15 + g1^28*t^5.68 + (2*t^5.84)/g1^5 + 2*g1^5*t^6.16 + 2*g1^10*t^6.31 + g1^15*t^6.47 + g1^20*t^6.63 + (3*t^6.64)/g1^18 - t^6.79/g1^13 + (4*t^6.95)/g1^8 + t^7.11/g1^3 + 8*g1^2*t^7.26 + 3*g1^7*t^7.42 + 9*g1^12*t^7.58 + g1^17*t^7.73 + (2*t^7.74)/g1^21 + 5*g1^22*t^7.89 + (3*t^8.06)/g1^11 + 2*g1^32*t^8.2 + t^8.21/g1^6 + (3*t^8.37)/g1 + g1^42*t^8.52 + 4*g1^9*t^8.68 + 3*g1^14*t^8.84 + (4*t^8.85)/g1^24 - t^4.11/(g1^3*y) - t^5.37/(g1*y) - (g1^4*t^5.53)/y - (2*t^6.32)/(g1^9*y) - (2*g1*t^6.63)/y - (g1^11*t^6.94)/y - t^7.42/(g1^12*y) - t^7.58/(g1^7*y) - (2*g1^3*t^7.89)/y - (g1^13*t^8.21)/y + (g1^18*t^8.36)/y - (2*t^8.53)/(g1^15*y) - t^8.84/(g1^5*y) - (t^4.11*y)/g1^3 - (t^5.37*y)/g1 - g1^4*t^5.53*y - (2*t^6.32*y)/g1^9 - 2*g1*t^6.63*y - g1^11*t^6.94*y - (t^7.42*y)/g1^12 - (t^7.58*y)/g1^7 - 2*g1^3*t^7.89*y - g1^13*t^8.21*y + g1^18*t^8.36*y - (2*t^8.53*y)/g1^15 - (t^8.84*y)/g1^5 |
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 |
---|---|---|---|---|---|---|---|---|
45437 | ${}M_{1}\phi_{1}^{2}q_{1}$ + ${ }M_{2}q_{1}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{5}\phi_{1}^{2}q_{2}$ | 1.82 | 1.9515 | 0.9326 | [X:[], M:[0.8425, 1.1575, 0.8425, 1.1044, 0.7894], q:[0.4212, 0.4743], qb:[], phi:[0.3681]] | t^2.21 + t^2.37 + 2*t^2.53 + t^2.85 + t^3.31 + t^3.79 + 2*t^4.42 + t^4.58 + 4*t^4.74 + 3*t^4.9 + 5*t^5.05 + t^5.21 + 2*t^5.37 + t^5.52 + t^5.68 + t^5.69 + t^5.84 - t^4.1/y - t^5.37/y - t^5.53/y - t^4.1*y - t^5.37*y - t^5.53*y | detail | |
45427 | ${}M_{1}\phi_{1}^{2}q_{1}$ + ${ }M_{2}q_{1}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{5}q_{2}^{2}$ | 1.8005 | 1.9167 | 0.9394 | [X:[], M:[0.8582, 1.1418, 0.8582, 1.0691, 0.9964], q:[0.4291, 0.5018], qb:[], phi:[0.3564]] | t^2.14 + 2*t^2.57 + t^2.99 + t^3.21 + t^3.64 + t^3.86 + 2*t^4.28 + 3*t^4.71 + t^4.93 + t^5.13 + 4*t^5.15 + t^5.35 + 2*t^5.56 + 2*t^5.78 + t^5.98 - t^4.07/y - t^5.36/y - t^5.57/y - t^4.07*y - t^5.36*y - t^5.57*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 |
---|---|---|---|---|---|---|---|---|---|
45238 | SO5adj1nf2 | ${}M_{1}\phi_{1}^{2}q_{1}$ + ${ }M_{2}q_{1}^{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{2}M_{3}$ | 1.8133 | 1.9411 | 0.9342 | [X:[], M:[0.8329, 1.1671, 0.8329], q:[0.4164, 0.4575], qb:[], phi:[0.3753]] | t^2.25 + 2*t^2.5 + t^2.62 + t^2.75 + t^3.62 + t^3.75 + 2*t^4.5 + 3*t^4.75 + 2*t^4.87 + 5*t^5. + 2*t^5.12 + 3*t^5.24 + t^5.37 + t^5.49 - t^4.13/y - t^5.38/y - t^5.5/y - t^4.13*y - t^5.38*y - t^5.5*y | detail |