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 |
|---|---|---|---|---|---|---|---|---|---|
| 46834 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}^{2}$ | 0.6468 | 0.8099 | 0.7986 | [M:[0.8093, 0.7907, 1.2, 0.8093, 0.7814], q:[0.8, 0.3907], qb:[0.4093, 0.8], phi:[0.4]] | [M:[[1], [-1], [0], [1], [-2]], q:[[0], [-1]], qb:[[1], [0]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}^{4}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ | 0 | t^2.344 + t^2.372 + t^2.4 + 2*t^2.428 + t^3.544 + 2*t^3.6 + t^3.628 + t^4.689 + t^4.717 + 2*t^4.744 + 3*t^4.772 + 4*t^4.8 + 2*t^4.828 + 3*t^4.856 + t^5.889 + t^5.917 + 2*t^5.944 + 3*t^5.972 + 3*t^6.028 + t^6.056 + t^7.033 + t^7.061 + 3*t^7.089 + 4*t^7.117 + 5*t^7.144 + 3*t^7.172 + 5*t^7.2 + 5*t^7.228 + 2*t^7.256 + 4*t^7.283 + t^8.233 + t^8.261 + 3*t^8.289 + 3*t^8.317 + 2*t^8.344 - t^8.372 + 3*t^8.4 - 3*t^8.428 + 2*t^8.456 + t^8.483 - t^4.2/y - t^6.544/y - t^6.572/y - (2*t^6.628)/y + t^7.717/y + t^7.744/y + (5*t^7.772)/y + (2*t^7.8)/y + (3*t^7.828)/y + (2*t^7.856)/y + (2*t^8.944)/y + (3*t^8.972)/y - t^4.2*y - t^6.544*y - t^6.572*y - 2*t^6.628*y + t^7.717*y + t^7.744*y + 5*t^7.772*y + 2*t^7.8*y + 3*t^7.828*y + 2*t^7.856*y + 2*t^8.944*y + 3*t^8.972*y | t^2.344/g1^2 + t^2.372/g1 + t^2.4 + 2*g1*t^2.428 + t^3.544/g1^2 + 2*t^3.6 + g1*t^3.628 + t^4.689/g1^4 + t^4.717/g1^3 + (2*t^4.744)/g1^2 + (3*t^4.772)/g1 + 4*t^4.8 + 2*g1*t^4.828 + 3*g1^2*t^4.856 + t^5.889/g1^4 + t^5.917/g1^3 + (2*t^5.944)/g1^2 + (3*t^5.972)/g1 + 3*g1*t^6.028 + g1^2*t^6.056 + t^7.033/g1^6 + t^7.061/g1^5 + (3*t^7.089)/g1^4 + (4*t^7.117)/g1^3 + (5*t^7.144)/g1^2 + (3*t^7.172)/g1 + 5*t^7.2 + 5*g1*t^7.228 + 2*g1^2*t^7.256 + 4*g1^3*t^7.283 + t^8.233/g1^6 + t^8.261/g1^5 + (3*t^8.289)/g1^4 + (3*t^8.317)/g1^3 + (2*t^8.344)/g1^2 - t^8.372/g1 + 3*t^8.4 - 3*g1*t^8.428 + 2*g1^2*t^8.456 + g1^3*t^8.483 - t^4.2/y - t^6.544/(g1^2*y) - t^6.572/(g1*y) - (2*g1*t^6.628)/y + t^7.717/(g1^3*y) + t^7.744/(g1^2*y) + (5*t^7.772)/(g1*y) + (2*t^7.8)/y + (3*g1*t^7.828)/y + (2*g1^2*t^7.856)/y + (2*t^8.944)/(g1^2*y) + (3*t^8.972)/(g1*y) - t^4.2*y - (t^6.544*y)/g1^2 - (t^6.572*y)/g1 - 2*g1*t^6.628*y + (t^7.717*y)/g1^3 + (t^7.744*y)/g1^2 + (5*t^7.772*y)/g1 + 2*t^7.8*y + 3*g1*t^7.828*y + 2*g1^2*t^7.856*y + (2*t^8.944*y)/g1^2 + (3*t^8.972*y)/g1 |
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 |
|---|---|---|---|---|---|---|---|---|
| 55400 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{5}^{2}$ | 0.6104 | 0.7667 | 0.7962 | [M:[0.7, 0.9, 1.2, 0.7, 1.0], q:[0.8, 0.5], qb:[0.3, 0.8], phi:[0.4]] | 2*t^2.1 + t^2.4 + t^2.7 + t^3. + t^3.3 + 2*t^3.6 + 4*t^4.2 + 2*t^4.5 + 4*t^4.8 + 3*t^5.1 + 3*t^5.4 + 4*t^5.7 + t^6. - t^4.2/y - t^4.2*y | detail | {a: 19533/32000, c: 24533/32000, M1: 7/10, M2: 9/10, M3: 6/5, M4: 7/10, M5: 1, q1: 4/5, q2: 1/2, qb1: 3/10, qb2: 4/5, phi1: 2/5} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46565 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6881 | 0.854 | 0.8057 | [M:[0.9764, 0.989, 1.1188, 0.7734, 0.6908], q:[0.5767, 0.4469], qb:[0.4343, 0.7797], phi:[0.4406]] | t^2.072 + t^2.32 + t^2.644 + t^2.929 + t^2.967 + t^3.356 + t^3.642 + t^3.965 + t^4.003 + t^4.069 + t^4.145 + t^4.355 + 2*t^4.393 + t^4.64 + t^4.716 + t^4.782 + t^4.964 + t^5.002 + t^5.04 + t^5.249 + 2*t^5.287 + t^5.429 + t^5.677 + t^5.714 + t^5.858 + t^5.896 + t^5.934 - 2*t^6. - t^4.322/y - t^4.322*y | detail |