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 |
|---|---|---|---|---|---|---|---|---|---|
| 57311 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.4539 | 1.6401 | 0.8865 | [X:[1.3403], M:[1.0104, 0.9687], q:[0.4948, 0.5157], qb:[0.4948, 0.5157], phi:[0.3299]] | [X:[[0, 0, 2]], M:[[0, 0, 3], [0, 0, -9]], q:[[-1, 0, -3], [0, -1, 9]], qb:[[1, 0, 0], [0, 1, 0]], phi:[[0, 0, -1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{3}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{6}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ | -1 | t^2.906 + t^2.969 + 3*t^3.031 + t^3.958 + 3*t^4.021 + t^4.084 + t^4.948 + 2*t^5.01 + t^5.073 + 2*t^5.505 + 2*t^5.568 + t^5.812 + t^5.875 + 2*t^5.937 - t^6. + 4*t^6.063 + 2*t^6.495 + 2*t^6.557 + t^6.864 + 2*t^6.927 + 4*t^6.99 + 8*t^7.052 + 3*t^7.115 + 2*t^7.422 + 2*t^7.61 + t^7.854 + 2*t^7.916 + 6*t^7.979 + 9*t^8.042 + 5*t^8.104 + t^8.167 - 2*t^8.474 + 2*t^8.537 + 4*t^8.599 + t^8.718 + t^8.781 + 2*t^8.843 + 4*t^8.969 + t^8.969/y^2 - t^3.99/y - t^4.979/y - t^6.896/y - t^6.958/y - (3*t^7.021)/y - t^7.885/y - t^7.948/y - (3*t^8.01)/y + t^8.875/y + (2*t^8.937)/y - t^3.99*y - t^4.979*y - t^6.896*y - t^6.958*y - 3*t^7.021*y - t^7.885*y - t^7.948*y - 3*t^8.01*y + t^8.875*y + 2*t^8.937*y + t^8.969*y^2 | t^2.906/g3^9 + t^2.969/g3^3 + (g2*t^3.031)/(g1*g3^3) + g3^3*t^3.031 + (g1*g3^9*t^3.031)/g2 + t^3.958/g3^4 + (g2*t^4.021)/(g1*g3^4) + g3^2*t^4.021 + (g1*g3^8*t^4.021)/g2 + g3^8*t^4.084 + t^4.948/g3^5 + (g2*t^5.01)/(g1*g3^5) + (g1*g3^7*t^5.01)/g2 + g3^7*t^5.073 + (g1^2*g2*t^5.505)/g3 + (g3^2*t^5.505)/(g1^2*g2) + (g1*g2^2*t^5.568)/g3 + (g3^14*t^5.568)/(g1*g2^2) + t^5.812/g3^18 + t^5.875/g3^12 + (2*t^5.937)/g3^6 - 3*t^6. + (g2*t^6.)/(g1*g3^6) + (g1*g3^6*t^6.)/g2 + (g2^2*t^6.063)/(g1^2*g3^6) + 2*g3^6*t^6.063 + (g1^2*g3^18*t^6.063)/g2^2 + (g1^2*g2*t^6.495)/g3^2 + (g3*t^6.495)/(g1^2*g2) + (g1*g2^2*t^6.557)/g3^2 + (g3^13*t^6.557)/(g1*g2^2) + t^6.864/g3^13 + (2*t^6.927)/g3^7 + (2*g2*t^6.99)/(g1*g3^7) + (2*g1*g3^5*t^6.99)/g2 + (g2^2*t^7.052)/(g1^2*g3^7) + (g2*t^7.052)/(g1*g3) + 4*g3^5*t^7.052 + (g1*g3^11*t^7.052)/g2 + (g1^2*g3^17*t^7.052)/g2^2 + (g2*g3^5*t^7.115)/g1 + g3^11*t^7.115 + (g1*g3^17*t^7.115)/g2 + t^7.422/(g1^3*g3^12) + (g1^3*t^7.422)/g3^3 + t^7.484/(g1^2*g2) - (g1*g2^2*t^7.484)/g3^9 + (g1^2*g2*t^7.484)/g3^3 - (g3^6*t^7.484)/(g1*g2^2) + (g1*g2^2*t^7.547)/g3^3 - g1^2*g2*g3^3*t^7.547 - (g3^6*t^7.547)/(g1^2*g2) + (g3^12*t^7.547)/(g1*g2^2) + (g2^3*t^7.61)/g3^3 + (g3^24*t^7.61)/g2^3 + t^7.854/g3^14 + (2*t^7.916)/g3^8 + (3*g2*t^7.979)/(g1*g3^8) + (3*g1*g3^4*t^7.979)/g2 + (2*g2^2*t^8.042)/(g1^2*g3^8) + 5*g3^4*t^8.042 + (2*g1^2*g3^16*t^8.042)/g2^2 + (2*g2*g3^4*t^8.104)/g1 + g3^10*t^8.104 + (2*g1*g3^16*t^8.104)/g2 + g3^16*t^8.167 - (g1*g2^2*t^8.474)/g3^10 - t^8.474/(g1^3*g3^7) + (g1^2*g2*t^8.474)/g3^4 + t^8.474/(g1^2*g2*g3) - g1^3*g3^2*t^8.474 - (g3^5*t^8.474)/(g1*g2^2) - (g2^3*t^8.537)/g3^10 + (2*g1*g2^2*t^8.537)/g3^4 + t^8.537/(g1^3*g3) - g1^2*g2*g3^2*t^8.537 - (g3^5*t^8.537)/(g1^2*g2) + g1^3*g3^8*t^8.537 + (2*g3^11*t^8.537)/(g1*g2^2) - (g3^17*t^8.537)/g2^3 + (g2^3*t^8.599)/g3^4 + g1^2*g2*g3^8*t^8.599 + (g3^11*t^8.599)/(g1^2*g2) + (g3^23*t^8.599)/g2^3 + t^8.718/g3^27 + t^8.781/g3^21 + (2*t^8.843)/g3^15 + (3*g2*t^8.969)/(g1*g3^9) - (2*t^8.969)/g3^3 + (3*g1*g3^3*t^8.969)/g2 + t^8.969/(g3^3*y^2) - t^3.99/(g3*y) - t^4.979/(g3^2*y) - t^6.896/(g3^10*y) - t^6.958/(g3^4*y) - (g2*t^7.021)/(g1*g3^4*y) - (g3^2*t^7.021)/y - (g1*g3^8*t^7.021)/(g2*y) - t^7.885/(g3^11*y) - t^7.948/(g3^5*y) - (g2*t^8.01)/(g1*g3^5*y) - (g3*t^8.01)/y - (g1*g3^7*t^8.01)/(g2*y) + t^8.875/(g3^12*y) + (g1*t^8.937)/(g2*y) + (g2*t^8.937)/(g1*g3^12*y) - (t^3.99*y)/g3 - (t^4.979*y)/g3^2 - (t^6.896*y)/g3^10 - (t^6.958*y)/g3^4 - (g2*t^7.021*y)/(g1*g3^4) - g3^2*t^7.021*y - (g1*g3^8*t^7.021*y)/g2 - (t^7.885*y)/g3^11 - (t^7.948*y)/g3^5 - (g2*t^8.01*y)/(g1*g3^5) - g3*t^8.01*y - (g1*g3^7*t^8.01*y)/g2 + (t^8.875*y)/g3^12 + (g1*t^8.937*y)/g2 + (g2*t^8.937*y)/(g1*g3^12) + (t^8.969*y^2)/g3^3 |
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 |
|---|---|---|---|---|---|---|---|---|
| 58007 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{1}M_{3}$ | 1.4552 | 1.6416 | 0.8864 | [X:[1.3449], M:[1.0173, 0.948, 0.9827], q:[0.4913, 0.526], qb:[0.4913, 0.526], phi:[0.3276]] | t^2.84 + 2*t^2.95 + 2*t^3.05 + t^3.93 + 3*t^4.03 + t^4.14 + t^4.91 + 2*t^5.02 + t^5.12 + 2*t^5.51 + 2*t^5.61 + t^5.69 + 2*t^5.79 + 3*t^5.9 - t^3.98/y - t^4.97/y - t^3.98*y - t^4.97*y | detail | |
| 58008 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{3}\phi_{1}q_{1}\tilde{q}_{1}$ | 1.4746 | 1.6809 | 0.8773 | [X:[1.3398], M:[1.0097, 0.9708, 0.6797], q:[0.4951, 0.5146], qb:[0.4951, 0.5146], phi:[0.3301]] | t^2.04 + t^2.91 + t^2.97 + 3*t^3.03 + 3*t^4.02 + 2*t^4.08 + 2*t^4.95 + 3*t^5.01 + 4*t^5.07 + 2*t^5.5 + 2*t^5.56 + t^5.82 + t^5.88 + 2*t^5.94 - t^6. - t^3.99/y - t^4.98/y - t^3.99*y - t^4.98*y | detail | |
| 58005 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{3}\phi_{1}^{3}$ | 1.4532 | 1.6401 | 0.8861 | [X:[1.3357], M:[1.0035, 0.9895, 1.0035], q:[0.4983, 0.5052], qb:[0.4983, 0.5052], phi:[0.3322]] | t^2.97 + 4*t^3.01 + t^3.99 + 3*t^4.01 + t^4.03 + t^4.98 + 2*t^5. + t^5.02 + 2*t^5.5 + 2*t^5.52 + t^5.94 + 2*t^5.98 - 4*t^6. - t^4./y - t^4.99/y - t^4.*y - t^4.99*y | detail | |
| 58006 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ | 1.4569 | 1.6456 | 0.8853 | [X:[1.3449], M:[1.0173, 0.948, 0.9459], q:[0.5091, 0.507], qb:[0.4736, 0.545], phi:[0.3276]] | 2*t^2.84 + t^2.94 + t^2.95 + t^3.05 + t^3.92 + t^3.93 + t^4.03 + 2*t^4.14 + 2*t^4.91 + t^5.12 + t^5.13 + t^5.46 + t^5.55 + t^5.56 + t^5.67 + 2*t^5.68 + t^5.69 + t^5.78 + 2*t^5.79 + t^5.88 + 2*t^5.89 + 2*t^5.9 - 3*t^6. - t^3.98/y - t^4.97/y - t^3.98*y - t^4.97*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47885 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ | 1.4561 | 1.6383 | 0.8888 | [X:[1.3617], M:[0.9574, 0.9574], q:[0.5213, 0.5213], qb:[0.5213, 0.5213], phi:[0.3191]] | 3*t^2.872 + 2*t^3.128 + 5*t^4.085 + 4*t^5.043 + 4*t^5.649 + 6*t^5.744 - 2*t^6. - t^3.957/y - t^4.915/y - t^3.957*y - t^4.915*y | detail |