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 |
---|---|---|---|---|---|---|---|---|---|
47100 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6406 | 0.843 | 0.7599 | [M:[0.9525, 0.8575, 1.0475, 0.7138, 0.8088], q:[0.7381, 0.3094], qb:[0.4044, 0.4531], phi:[0.5238]] | [M:[[4], [12], [-4], [-18], [-26]], q:[[1], [-5]], qb:[[-13], [25]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{5}$, ${ }M_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$ | ${}\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | -1 | 2*t^2.141 + t^2.287 + t^2.426 + 2*t^2.572 + 2*t^3.143 + t^3.428 + t^3.713 + t^3.998 + t^4.144 + 3*t^4.283 + t^4.29 + 2*t^4.429 + 2*t^4.568 + t^4.575 + 5*t^4.714 + t^4.853 + 2*t^4.86 + 2*t^4.999 + 3*t^5.145 + 4*t^5.284 + 2*t^5.43 + 3*t^5.569 + 3*t^5.715 + 2*t^5.854 - t^6. + 3*t^6.139 - t^6.146 + 4*t^6.285 + 5*t^6.424 + t^6.431 + 6*t^6.57 + t^6.577 + 3*t^6.709 + 3*t^6.716 + 8*t^6.855 + 3*t^6.862 + 2*t^6.994 + 2*t^7.001 + 6*t^7.14 + t^7.147 + t^7.279 + 6*t^7.286 + 8*t^7.425 + 4*t^7.432 + 3*t^7.571 + 6*t^7.71 + 4*t^7.717 + 5*t^7.856 + 5*t^7.995 + t^8.002 - t^8.141 + 5*t^8.28 + 4*t^8.426 + 8*t^8.565 - 3*t^8.572 + t^8.58 + 10*t^8.711 - t^8.719 + 5*t^8.85 + 4*t^8.857 + t^8.865 + 12*t^8.996 - t^4.571/y - t^6.713/y - t^6.998/y - t^7.144/y + t^7.283/y + (3*t^7.429)/y + (2*t^7.568)/y + (4*t^7.714)/y + (2*t^7.86)/y + (3*t^7.999)/y + (2*t^8.145)/y + (4*t^8.284)/y + (3*t^8.43)/y + (4*t^8.569)/y + (5*t^8.715)/y + (2*t^8.854)/y - t^4.571*y - t^6.713*y - t^6.998*y - t^7.144*y + t^7.283*y + 3*t^7.429*y + 2*t^7.568*y + 4*t^7.714*y + 2*t^7.86*y + 3*t^7.999*y + 2*t^8.145*y + 4*t^8.284*y + 3*t^8.43*y + 4*t^8.569*y + 5*t^8.715*y + 2*t^8.854*y | (2*t^2.141)/g1^18 + g1^20*t^2.287 + t^2.426/g1^26 + 2*g1^12*t^2.572 + (2*t^3.143)/g1^4 + t^3.428/g1^12 + t^3.713/g1^20 + t^3.998/g1^28 + g1^10*t^4.144 + (3*t^4.283)/g1^36 + g1^48*t^4.29 + 2*g1^2*t^4.429 + (2*t^4.568)/g1^44 + g1^40*t^4.575 + (5*t^4.714)/g1^6 + t^4.853/g1^52 + 2*g1^32*t^4.86 + (2*t^4.999)/g1^14 + 3*g1^24*t^5.145 + (4*t^5.284)/g1^22 + 2*g1^16*t^5.43 + (3*t^5.569)/g1^30 + 3*g1^8*t^5.715 + (2*t^5.854)/g1^38 - t^6. + (3*t^6.139)/g1^46 - g1^38*t^6.146 + (4*t^6.285)/g1^8 + (5*t^6.424)/g1^54 + g1^30*t^6.431 + (6*t^6.57)/g1^16 + g1^68*t^6.577 + (3*t^6.709)/g1^62 + 3*g1^22*t^6.716 + (8*t^6.855)/g1^24 + 3*g1^60*t^6.862 + (2*t^6.994)/g1^70 + 2*g1^14*t^7.001 + (6*t^7.14)/g1^32 + g1^52*t^7.147 + t^7.279/g1^78 + 6*g1^6*t^7.286 + (8*t^7.425)/g1^40 + 4*g1^44*t^7.432 + (3*t^7.571)/g1^2 + (6*t^7.71)/g1^48 + 4*g1^36*t^7.717 + (5*t^7.856)/g1^10 + (5*t^7.995)/g1^56 + g1^28*t^8.002 - t^8.141/g1^18 + (5*t^8.28)/g1^64 + (4*t^8.426)/g1^26 + (8*t^8.565)/g1^72 - 3*g1^12*t^8.572 + g1^96*t^8.58 + (10*t^8.711)/g1^34 - g1^50*t^8.719 + (5*t^8.85)/g1^80 + 4*g1^4*t^8.857 + g1^88*t^8.865 + (12*t^8.996)/g1^42 - t^4.571/(g1^2*y) - t^6.713/(g1^20*y) - t^6.998/(g1^28*y) - (g1^10*t^7.144)/y + t^7.283/(g1^36*y) + (3*g1^2*t^7.429)/y + (2*t^7.568)/(g1^44*y) + (4*t^7.714)/(g1^6*y) + (2*g1^32*t^7.86)/y + (3*t^7.999)/(g1^14*y) + (2*g1^24*t^8.145)/y + (4*t^8.284)/(g1^22*y) + (3*g1^16*t^8.43)/y + (4*t^8.569)/(g1^30*y) + (5*g1^8*t^8.715)/y + (2*t^8.854)/(g1^38*y) - (t^4.571*y)/g1^2 - (t^6.713*y)/g1^20 - (t^6.998*y)/g1^28 - g1^10*t^7.144*y + (t^7.283*y)/g1^36 + 3*g1^2*t^7.429*y + (2*t^7.568*y)/g1^44 + (4*t^7.714*y)/g1^6 + 2*g1^32*t^7.86*y + (3*t^7.999*y)/g1^14 + 2*g1^24*t^8.145*y + (4*t^8.284*y)/g1^22 + 3*g1^16*t^8.43*y + (4*t^8.569*y)/g1^30 + 5*g1^8*t^8.715*y + (2*t^8.854*y)/g1^38 |
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 |
---|---|---|---|---|---|---|---|---|
55035 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6283 | 0.8228 | 0.7636 | [M:[0.9544, 0.8632, 1.0456, 0.7052, 0.7964, 1.1368], q:[0.7386, 0.307], qb:[0.3982, 0.465], phi:[0.5228]] | 2*t^2.116 + t^2.316 + t^2.389 + t^2.59 + 2*t^3.137 + 2*t^3.41 + t^3.684 + t^3.958 + t^4.158 + 3*t^4.231 + t^4.358 + 2*t^4.432 + 2*t^4.505 + t^4.632 + 3*t^4.705 + t^4.778 + t^4.906 + t^4.979 + t^5.179 + 4*t^5.252 + 2*t^5.453 + 5*t^5.526 + 2*t^5.726 + 3*t^5.8 - t^6. - t^4.568/y - t^4.568*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 |
---|---|---|---|---|---|---|---|---|---|
46696 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6254 | 0.8161 | 0.7663 | [M:[0.9488, 0.8464, 1.0512, 0.7304], q:[0.7372, 0.314], qb:[0.4164, 0.43], phi:[0.5256]] | 2*t^2.191 + t^2.232 + 2*t^2.539 + 2*t^3.154 + t^3.461 + t^3.502 + t^3.768 + t^4.075 + t^4.116 + t^4.157 + 3*t^4.382 + 2*t^4.423 + t^4.464 + 4*t^4.73 + 2*t^4.771 + 3*t^5.078 + 4*t^5.345 + 2*t^5.386 + t^5.652 + 5*t^5.693 + t^5.734 + t^5.959 - t^6. - t^4.577/y - t^4.577*y | detail |