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 |
|---|---|---|---|---|---|---|---|---|---|
| 1046 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.699 | 0.874 | 0.7998 | [M:[1.0, 1.1201, 0.9596, 0.6801, 0.8799, 0.7598], q:[0.78, 0.4198], qb:[0.5802, 0.4601], phi:[0.44]] | [M:[[0], [4], [-18], [6], [-4], [-8]], q:[[1], [-11]], qb:[[11], [7]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{6}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{6}q_{1}q_{2}$, ${ }M_{4}\phi_{1}q_{2}^{2}$ | ${}$ | -2 | t^2.04 + t^2.28 + 2*t^2.64 + t^2.879 + t^3. + t^3.599 + t^3.839 + 3*t^4.081 + 2*t^4.32 + t^4.441 + t^4.559 + 2*t^4.68 + t^4.801 + 3*t^4.919 + t^5.04 + t^5.158 + 4*t^5.28 + t^5.519 + 2*t^5.64 + t^5.758 + 2*t^5.879 - 2*t^6. + t^6.118 + 2*t^6.121 + t^6.239 + 2*t^6.36 + 3*t^6.478 + 2*t^6.599 + t^6.718 + 5*t^6.72 + t^6.839 + t^6.842 + 4*t^6.96 + 4*t^7.081 + 3*t^7.199 + 3*t^7.32 + 2*t^7.438 + 4*t^7.559 + t^7.677 + 2*t^7.68 + 2*t^7.798 - t^7.801 + 8*t^7.919 + t^8.037 - 3*t^8.04 + 4*t^8.158 + 3*t^8.161 - t^8.28 + 2*t^8.398 + t^8.401 + 3*t^8.519 + t^8.522 + t^8.637 - 2*t^8.64 + 4*t^8.758 + t^8.761 + t^8.879 + 3*t^8.882 + t^8.997 - t^4.32/y - t^6.36/y - t^6.599/y - t^6.96/y - t^7.199/y + t^7.32/y + t^7.441/y + (3*t^7.68)/y + (3*t^7.919)/y + (2*t^8.04)/y + t^8.158/y + (3*t^8.28)/y - t^8.401/y + (2*t^8.519)/y + (2*t^8.64)/y + (2*t^8.879)/y - t^4.32*y - t^6.36*y - t^6.599*y - t^6.96*y - t^7.199*y + t^7.32*y + t^7.441*y + 3*t^7.68*y + 3*t^7.919*y + 2*t^8.04*y + t^8.158*y + 3*t^8.28*y - t^8.401*y + 2*t^8.519*y + 2*t^8.64*y + 2*t^8.879*y | g1^6*t^2.04 + t^2.28/g1^8 + (2*t^2.64)/g1^4 + t^2.879/g1^18 + t^3. + t^3.599/g1^10 + t^3.839/g1^24 + 3*g1^12*t^4.081 + (2*t^4.32)/g1^2 + g1^16*t^4.441 + t^4.559/g1^16 + 2*g1^2*t^4.68 + g1^20*t^4.801 + (3*t^4.919)/g1^12 + g1^6*t^5.04 + t^5.158/g1^26 + (4*t^5.28)/g1^8 + t^5.519/g1^22 + (2*t^5.64)/g1^4 + t^5.758/g1^36 + (2*t^5.879)/g1^18 - 2*t^6. + t^6.118/g1^32 + 2*g1^18*t^6.121 + t^6.239/g1^14 + 2*g1^4*t^6.36 + (3*t^6.478)/g1^28 + (2*t^6.599)/g1^10 + t^6.718/g1^42 + 5*g1^8*t^6.72 + t^6.839/g1^24 + g1^26*t^6.842 + (4*t^6.96)/g1^6 + 4*g1^12*t^7.081 + (3*t^7.199)/g1^20 + (3*t^7.32)/g1^2 + (2*t^7.438)/g1^34 + (4*t^7.559)/g1^16 + t^7.677/g1^48 + 2*g1^2*t^7.68 + (2*t^7.798)/g1^30 - g1^20*t^7.801 + (8*t^7.919)/g1^12 + t^8.037/g1^44 - 3*g1^6*t^8.04 + (4*t^8.158)/g1^26 + 3*g1^24*t^8.161 - t^8.28/g1^8 + (2*t^8.398)/g1^40 + g1^10*t^8.401 + (3*t^8.519)/g1^22 + g1^28*t^8.522 + t^8.637/g1^54 - (2*t^8.64)/g1^4 + (4*t^8.758)/g1^36 + g1^14*t^8.761 + t^8.879/g1^18 + 3*g1^32*t^8.882 + t^8.997/g1^50 - t^4.32/(g1^2*y) - (g1^4*t^6.36)/y - t^6.599/(g1^10*y) - t^6.96/(g1^6*y) - t^7.199/(g1^20*y) + t^7.32/(g1^2*y) + (g1^16*t^7.441)/y + (3*g1^2*t^7.68)/y + (3*t^7.919)/(g1^12*y) + (2*g1^6*t^8.04)/y + t^8.158/(g1^26*y) + (3*t^8.28)/(g1^8*y) - (g1^10*t^8.401)/y + (2*t^8.519)/(g1^22*y) + (2*t^8.64)/(g1^4*y) + (2*t^8.879)/(g1^18*y) - (t^4.32*y)/g1^2 - g1^4*t^6.36*y - (t^6.599*y)/g1^10 - (t^6.96*y)/g1^6 - (t^7.199*y)/g1^20 + (t^7.32*y)/g1^2 + g1^16*t^7.441*y + 3*g1^2*t^7.68*y + (3*t^7.919*y)/g1^12 + 2*g1^6*t^8.04*y + (t^8.158*y)/g1^26 + (3*t^8.28*y)/g1^8 - g1^10*t^8.401*y + (2*t^8.519*y)/g1^22 + (2*t^8.64*y)/g1^4 + (2*t^8.879*y)/g1^18 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1629 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.7193 | 0.9125 | 0.7883 | [M:[1.0, 1.117, 0.9737, 0.6754, 0.883, 0.7661, 0.7017], q:[0.7792, 0.4284], qb:[0.5716, 0.4547], phi:[0.4415]] | t^2.026 + t^2.105 + t^2.298 + 2*t^2.649 + t^2.921 + t^3. + t^3.623 + 3*t^4.053 + t^4.131 + t^4.21 + 2*t^4.325 + 2*t^4.403 + t^4.597 + 2*t^4.675 + 3*t^4.754 + 3*t^4.947 + 2*t^5.026 + t^5.105 + t^5.219 + 4*t^5.298 + t^5.57 + 2*t^5.649 + t^5.728 + t^5.842 + t^5.921 - 2*t^6. - t^4.325/y - t^4.325*y | detail | |
| 1628 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}q_{2}$ | 0.7157 | 0.9032 | 0.7924 | [M:[1.0, 1.1161, 0.9775, 0.6742, 0.8839, 0.7678, 0.7903], q:[0.779, 0.4307], qb:[0.5693, 0.4532], phi:[0.4419]] | t^2.023 + t^2.303 + t^2.371 + 2*t^2.652 + t^2.932 + t^3. + t^3.91 + 3*t^4.045 + 2*t^4.326 + 2*t^4.393 + t^4.607 + 3*t^4.674 + 2*t^4.742 + 3*t^4.955 + 3*t^5.023 + t^5.236 + 5*t^5.303 + t^5.371 + t^5.584 + t^5.652 + t^5.865 + t^5.932 - 2*t^6. - t^4.326/y - t^4.326*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 |
|---|
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 658 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{5}$ | 0.6805 | 0.8404 | 0.8097 | [M:[1.0, 1.1174, 0.9715, 0.6762, 0.8826], q:[0.7794, 0.427], qb:[0.573, 0.4555], phi:[0.4413]] | t^2.029 + 2*t^2.648 + t^2.914 + t^3. + t^3.619 + t^3.705 + t^3.886 + 3*t^4.057 + t^4.324 + t^4.409 + 2*t^4.676 + t^4.762 + t^4.943 + t^5.029 + 3*t^5.295 + t^5.562 + 2*t^5.648 + t^5.733 + t^5.829 + t^5.914 - 2*t^6. - t^4.324/y - t^4.324*y | detail |