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 |
---|---|---|---|---|---|---|---|---|---|
48131 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6657 | 0.832 | 0.8002 | [M:[1.1198, 0.7298, 0.8802, 0.8802, 0.6797], q:[0.5153, 0.3649], qb:[0.7549, 0.805], phi:[0.39]] | [M:[[-16], [-14], [16], [16], [-24]], q:[[23], [-7]], qb:[[-9], [1]], phi:[[-2]]] |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}^{2}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}^{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}q_{1}q_{2}$ | ${}$ | -1 | t^2.039 + t^2.189 + t^2.34 + 2*t^2.641 + t^3.359 + t^3.51 + t^3.811 + t^4.078 + t^4.228 + t^4.262 + 2*t^4.379 + 2*t^4.529 + 4*t^4.68 + t^4.83 + 3*t^4.98 + 2*t^5.281 + t^5.398 + t^5.549 + 3*t^5.699 + t^5.85 - t^6. + t^6.117 + 2*t^6.15 + t^6.268 + 2*t^6.418 + t^6.451 + 3*t^6.568 + t^6.602 + 5*t^6.719 + 4*t^6.869 + 2*t^6.902 + 5*t^7.02 + t^7.17 + 5*t^7.32 + t^7.437 + t^7.588 + 3*t^7.621 + 3*t^7.738 + 3*t^7.889 + t^7.922 + 2*t^8.039 + t^8.072 + t^8.156 - t^8.189 + t^8.307 - t^8.34 + 2*t^8.457 + t^8.49 + t^8.524 + 3*t^8.607 - 5*t^8.641 + 6*t^8.758 + 2*t^8.791 + 5*t^8.908 + t^8.941 - t^4.17/y - t^6.209/y - t^6.359/y - t^6.51/y - t^6.811/y + t^7.228/y + t^7.379/y + (2*t^7.529)/y + (2*t^7.68)/y + (3*t^7.83)/y + (3*t^7.98)/y + t^8.131/y - t^8.248/y + t^8.281/y + t^8.699/y - t^4.17*y - t^6.209*y - t^6.359*y - t^6.51*y - t^6.811*y + t^7.228*y + t^7.379*y + 2*t^7.529*y + 2*t^7.68*y + 3*t^7.83*y + 3*t^7.98*y + t^8.131*y - t^8.248*y + t^8.281*y + t^8.699*y | t^2.039/g1^24 + t^2.189/g1^14 + t^2.34/g1^4 + 2*g1^16*t^2.641 + t^3.359/g1^16 + t^3.51/g1^6 + g1^14*t^3.811 + t^4.078/g1^48 + t^4.228/g1^38 + g1^44*t^4.262 + (2*t^4.379)/g1^28 + (2*t^4.529)/g1^18 + (4*t^4.68)/g1^8 + g1^2*t^4.83 + 3*g1^12*t^4.98 + 2*g1^32*t^5.281 + t^5.398/g1^40 + t^5.549/g1^30 + (3*t^5.699)/g1^20 + t^5.85/g1^10 - t^6. + t^6.117/g1^72 + 2*g1^10*t^6.15 + t^6.268/g1^62 + (2*t^6.418)/g1^52 + g1^30*t^6.451 + (3*t^6.568)/g1^42 + g1^40*t^6.602 + (5*t^6.719)/g1^32 + (4*t^6.869)/g1^22 + 2*g1^60*t^6.902 + (5*t^7.02)/g1^12 + t^7.17/g1^2 + 5*g1^8*t^7.32 + t^7.437/g1^64 + t^7.588/g1^54 + 3*g1^28*t^7.621 + (3*t^7.738)/g1^44 + (3*t^7.889)/g1^34 + g1^48*t^7.922 + (2*t^8.039)/g1^24 + g1^58*t^8.072 + t^8.156/g1^96 - t^8.189/g1^14 + t^8.307/g1^86 - t^8.34/g1^4 + (2*t^8.457)/g1^76 + g1^6*t^8.49 + g1^88*t^8.524 + (3*t^8.607)/g1^66 - 5*g1^16*t^8.641 + (6*t^8.758)/g1^56 + 2*g1^26*t^8.791 + (5*t^8.908)/g1^46 + g1^36*t^8.941 - t^4.17/(g1^2*y) - t^6.209/(g1^26*y) - t^6.359/(g1^16*y) - t^6.51/(g1^6*y) - (g1^14*t^6.811)/y + t^7.228/(g1^38*y) + t^7.379/(g1^28*y) + (2*t^7.529)/(g1^18*y) + (2*t^7.68)/(g1^8*y) + (3*g1^2*t^7.83)/y + (3*g1^12*t^7.98)/y + (g1^22*t^8.131)/y - t^8.248/(g1^50*y) + (g1^32*t^8.281)/y + t^8.699/(g1^20*y) - (t^4.17*y)/g1^2 - (t^6.209*y)/g1^26 - (t^6.359*y)/g1^16 - (t^6.51*y)/g1^6 - g1^14*t^6.811*y + (t^7.228*y)/g1^38 + (t^7.379*y)/g1^28 + (2*t^7.529*y)/g1^18 + (2*t^7.68*y)/g1^8 + 3*g1^2*t^7.83*y + 3*g1^12*t^7.98*y + g1^22*t^8.131*y - (t^8.248*y)/g1^50 + g1^32*t^8.281*y + (t^8.699*y)/g1^20 |
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 |
---|---|---|---|---|---|---|---|---|
55433 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ | 0.677 | 0.851 | 0.7956 | [M:[1.1331, 0.7415, 0.8669, 0.8669, 0.6997, 0.8669], q:[0.4961, 0.3708], qb:[0.7624, 0.8042], phi:[0.3916]] | t^2.099 + t^2.225 + t^2.35 + 3*t^2.601 + t^3.525 + t^3.775 + t^4.152 + t^4.198 + t^4.324 + 2*t^4.449 + 2*t^4.574 + 5*t^4.7 + 2*t^4.825 + 4*t^4.95 + 5*t^5.201 + 2*t^5.749 + t^5.875 - 3*t^6. - t^4.175/y - t^4.175*y | detail | |
55565 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ | 0.6856 | 0.8692 | 0.7888 | [M:[1.1153, 0.7259, 0.8847, 0.8847, 0.6729, 0.7259], q:[0.5218, 0.3629], qb:[0.7523, 0.8053], phi:[0.3894]] | t^2.019 + 2*t^2.178 + t^2.336 + 2*t^2.654 + t^3.346 + t^3.505 + t^4.037 + 2*t^4.196 + t^4.299 + 4*t^4.355 + 3*t^4.514 + 4*t^4.673 + 3*t^4.832 + 3*t^4.991 + 2*t^5.308 + t^5.364 + 2*t^5.523 + 4*t^5.682 - 2*t^6. - t^4.168/y - t^4.168*y | detail | |
55478 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6481 | 0.8005 | 0.8096 | [M:[1.122, 0.7318, 0.878, 0.878, 0.6831, 1.2195], q:[0.5121, 0.3659], qb:[0.7562, 0.8049], phi:[0.3903]] | t^2.049 + t^2.195 + 2*t^2.634 + t^3.366 + t^3.512 + t^3.658 + t^3.805 + t^4.098 + t^4.243 + t^4.245 + t^4.391 + t^4.537 + 3*t^4.683 + t^4.829 + t^4.975 + 2*t^5.268 + t^5.415 + t^5.562 + 3*t^5.708 + t^5.854 - t^6. - t^4.171/y - t^4.171*y | detail | |
55544 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{2}$ | 0.6803 | 0.8571 | 0.7938 | [M:[1.1242, 0.7337, 0.8758, 0.8758, 0.6863, 0.8284], q:[0.509, 0.3668], qb:[0.7574, 0.8047], phi:[0.3905]] | t^2.059 + t^2.201 + t^2.343 + t^2.485 + 2*t^2.627 + t^3.373 + t^3.799 + t^4.118 + t^4.225 + t^4.26 + 2*t^4.402 + 3*t^4.544 + 5*t^4.686 + 2*t^4.828 + 4*t^4.971 + 2*t^5.113 + 2*t^5.255 + t^5.431 + 2*t^5.716 + t^5.858 - t^6. - t^4.172/y - t^4.172*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 |
---|---|---|---|---|---|---|---|---|---|
46655 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ | 0.645 | 0.7913 | 0.8151 | [M:[1.1221, 0.7318, 0.8779, 0.8779], q:[0.512, 0.3659], qb:[0.7562, 0.8049], phi:[0.3903]] | t^2.195 + t^2.342 + 2*t^2.634 + t^3.366 + t^3.512 + t^3.805 + t^3.951 + t^4.243 + t^4.391 + 2*t^4.537 + 2*t^4.683 + t^4.829 + 3*t^4.975 + 2*t^5.267 + 3*t^5.708 - t^6. - t^4.171/y - t^4.171*y | detail |