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 |
|---|---|---|---|---|---|---|---|---|---|
| 50875 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}q_{1}^{2}$ | 0.6642 | 0.8416 | 0.7892 | [M:[0.7807, 0.8193, 1.2, 0.8, 0.8, 0.7613], q:[0.8, 0.4193], qb:[0.3807, 0.8], phi:[0.4]] | [M:[[1], [-1], [0], [0], [0], [2]], q:[[0], [-1]], qb:[[1], [0]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{1}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{2}\tilde{q}_{1}\tilde{q}_{2}$ | -1 | t^2.284 + t^2.342 + 3*t^2.4 + t^2.458 + t^3.484 + t^3.542 + t^3.658 + t^4.568 + t^4.626 + 4*t^4.684 + 4*t^4.742 + 8*t^4.8 + 3*t^4.858 + t^4.916 + t^5.768 + 2*t^5.826 + 3*t^5.884 + 3*t^5.942 - t^6. + t^6.058 + t^6.852 + t^6.91 + 5*t^6.968 + 6*t^7.026 + 10*t^7.084 + 8*t^7.142 + 13*t^7.2 + 4*t^7.258 + 2*t^7.316 + t^7.374 + t^8.052 + 2*t^8.11 + 4*t^8.168 + 6*t^8.226 + 4*t^8.284 + t^8.342 - 7*t^8.4 - 3*t^8.458 - 3*t^8.516 - t^4.2/y - t^6.484/y - t^6.542/y - (2*t^6.6)/y - t^6.658/y + t^7.626/y + (3*t^7.684)/y + (5*t^7.742)/y + (6*t^7.8)/y + (4*t^7.858)/y + t^7.916/y + t^8.826/y + t^8.884/y + (2*t^8.942)/y - t^4.2*y - t^6.484*y - t^6.542*y - 2*t^6.6*y - t^6.658*y + t^7.626*y + 3*t^7.684*y + 5*t^7.742*y + 6*t^7.8*y + 4*t^7.858*y + t^7.916*y + t^8.826*y + t^8.884*y + 2*t^8.942*y | g1^2*t^2.284 + g1*t^2.342 + 3*t^2.4 + t^2.458/g1 + g1^2*t^3.484 + g1*t^3.542 + t^3.658/g1 + g1^4*t^4.568 + g1^3*t^4.626 + 4*g1^2*t^4.684 + 4*g1*t^4.742 + 8*t^4.8 + (3*t^4.858)/g1 + t^4.916/g1^2 + g1^4*t^5.768 + 2*g1^3*t^5.826 + 3*g1^2*t^5.884 + 3*g1*t^5.942 - t^6. + t^6.058/g1 + g1^6*t^6.852 + g1^5*t^6.91 + 5*g1^4*t^6.968 + 6*g1^3*t^7.026 + 10*g1^2*t^7.084 + 8*g1*t^7.142 + 13*t^7.2 + (4*t^7.258)/g1 + (2*t^7.316)/g1^2 + t^7.374/g1^3 + g1^6*t^8.052 + 2*g1^5*t^8.11 + 4*g1^4*t^8.168 + 6*g1^3*t^8.226 + 4*g1^2*t^8.284 + g1*t^8.342 - 7*t^8.4 - (3*t^8.458)/g1 - (3*t^8.516)/g1^2 - t^4.2/y - (g1^2*t^6.484)/y - (g1*t^6.542)/y - (2*t^6.6)/y - t^6.658/(g1*y) + (g1^3*t^7.626)/y + (3*g1^2*t^7.684)/y + (5*g1*t^7.742)/y + (6*t^7.8)/y + (4*t^7.858)/(g1*y) + t^7.916/(g1^2*y) + (g1^3*t^8.826)/y + (g1^2*t^8.884)/y + (2*g1*t^8.942)/y - t^4.2*y - g1^2*t^6.484*y - g1*t^6.542*y - 2*t^6.6*y - (t^6.658*y)/g1 + g1^3*t^7.626*y + 3*g1^2*t^7.684*y + 5*g1*t^7.742*y + 6*t^7.8*y + (4*t^7.858*y)/g1 + (t^7.916*y)/g1^2 + g1^3*t^8.826*y + g1^2*t^8.884*y + 2*g1*t^8.942*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 56133 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{6}^{2}$ | 0.6229 | 0.7854 | 0.7931 | [M:[0.9, 0.7, 1.2, 0.8, 0.8, 1.0], q:[0.8, 0.3], qb:[0.5, 0.8], phi:[0.4]] | t^2.1 + 3*t^2.4 + t^2.7 + t^3. + t^3.3 + t^3.9 + 2*t^4.2 + 3*t^4.5 + 8*t^4.8 + 4*t^5.1 + 4*t^5.4 + 2*t^5.7 - t^4.2/y - t^4.2*y | detail | {a: 4983/8000, c: 6283/8000, M1: 9/10, M2: 7/10, M3: 6/5, M4: 4/5, M5: 4/5, M6: 1, q1: 4/5, q2: 3/10, qb1: 1/2, qb2: 4/5, phi1: 2/5} |
| 56142 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{7}q_{2}\tilde{q}_{2}$ | 0.682 | 0.8746 | 0.7798 | [M:[0.7728, 0.8272, 1.2, 0.8, 0.8, 0.7456, 0.7728], q:[0.8, 0.4272], qb:[0.3728, 0.8], phi:[0.4]] | t^2.237 + 2*t^2.318 + 3*t^2.4 + t^2.482 + t^3.437 + t^3.518 + t^4.474 + 2*t^4.555 + 6*t^4.637 + 7*t^4.718 + 9*t^4.8 + 3*t^4.882 + t^4.963 + t^5.674 + 3*t^5.755 + 4*t^5.837 + 2*t^5.918 - 2*t^6. - t^4.2/y - t^4.2*y | detail | |
| 56140 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6798 | 0.8679 | 0.7833 | [M:[0.7907, 0.8093, 1.2, 0.8, 0.8, 0.7814, 0.8093], q:[0.8, 0.4093], qb:[0.3907, 0.8], phi:[0.4]] | t^2.344 + t^2.372 + 3*t^2.4 + 2*t^2.428 + t^3.544 + t^3.628 + t^4.689 + t^4.717 + 4*t^4.744 + 5*t^4.772 + 9*t^4.8 + 6*t^4.828 + 3*t^4.856 + t^5.889 + t^5.917 + 2*t^5.944 + t^5.972 - 2*t^6. - t^4.2/y - t^4.2*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47043 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.7021 | 0.8823 | 0.7958 | [M:[0.9637, 0.9715, 1.1255, 0.6883, 0.8745, 0.6805], q:[0.5951, 0.4411], qb:[0.4334, 0.7814], phi:[0.4372]] | t^2.041 + t^2.065 + 2*t^2.623 + t^2.891 + t^2.915 + t^3.644 + t^3.668 + t^3.912 + t^4.083 + t^4.106 + 2*t^4.13 + t^4.397 + t^4.421 + 2*t^4.665 + 2*t^4.688 + t^4.883 + t^4.933 + 2*t^4.956 + t^4.979 + 3*t^5.247 + t^5.515 + t^5.538 + t^5.686 + 2*t^5.709 + t^5.732 + t^5.782 + t^5.806 + t^5.829 + t^5.953 - 3*t^6. - t^4.312/y - t^4.312*y | detail |