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 |
|---|---|---|---|---|---|---|---|---|---|
| 57313 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ | 0.7998 | 0.8936 | 0.8951 | [X:[1.5, 1.5], q:[0.75, 0.25], qb:[0.25, 1.25], phi:[0.25]] | [X:[[0], [0]], q:[[-1], [-1]], qb:[[1], [1]], phi:[[0]]] | 1 | {a: 819/1024, c: 915/1024, X1: 3/2, X2: 3/2, q1: 3/4, q2: 1/4, qb1: 1/4, qb2: 5/4, phi1: 1/4} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}\phi_{1}^{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}^{3}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }X_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}^{3}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{5}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{5}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$ | ${}\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{3}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{4}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}^{5}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | -1 | 2*t^2.25 + t^3. + 7*t^4.5 + 2*t^5.25 - t^6. + 10*t^6.75 + 4*t^7.5 - 6*t^8.25 + t^8.25/y^2 - t^3.75/y - t^4.5/y - t^6./y - (2*t^6.75)/y + t^7.5/y - t^3.75*y - t^4.5*y - t^6.*y - 2*t^6.75*y + t^7.5*y + t^8.25*y^2 | 2*t^2.25 + t^3. + 5*t^4.5 + t^4.5/g1^3 + g1^3*t^4.5 + 2*t^5.25 - t^6. + 6*t^6.75 + (2*t^6.75)/g1^3 + 2*g1^3*t^6.75 + 4*t^7.5 - 2*t^8.25 - (2*t^8.25)/g1^3 - 2*g1^3*t^8.25 + t^8.25/y^2 - t^3.75/y - t^4.5/y - t^6./y - (2*t^6.75)/y + t^7.5/y - t^3.75*y - t^4.5*y - t^6.*y - 2*t^6.75*y + t^7.5*y + t^8.25*y^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 58019 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ | 0.6943 | 0.7881 | 0.881 | [X:[1.5, 1.5], M:[], q:[0.9167, 0.4167], qb:[0.0833, 1.0833], phi:[0.25]] | 2*t^2.25 + 2*t^3. + 5*t^4.5 + 4*t^5.25 + t^6. - t^3.75/y - t^4.5/y - t^6./y - t^3.75*y - t^4.5*y - t^6.*y | detail | {a: 711/1024, c: 807/1024, X1: 3/2, X2: 3/2, q1: 11/12, q2: 5/12, qb1: 1/12, qb2: 13/12, phi1: 1/4} |
| 58092 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$ | 0.7734 | 0.8672 | 0.8919 | [X:[1.5, 1.5], M:[], q:[0.8333, 0.3333], qb:[0.1667, 1.1667], phi:[0.25]] | 2*t^2.25 + t^3. + t^3.75 + 5*t^4.5 + 3*t^5.25 + t^6. - t^3.75/y - t^4.5/y - t^6./y - t^3.75*y - t^4.5*y - t^6.*y | detail | {a: 99/128, c: 111/128, X1: 3/2, X2: 3/2, q1: 5/6, q2: 1/3, qb1: 1/6, qb2: 7/6, phi1: 1/4} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 45785 | SU3adj1nf1 | ${}\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }M_{1}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ + ${ }q_{1}\tilde{q}_{1}X_{3}$ + ${ }M_{2}X_{2}$ | 0.7998 | 0.8936 | 0.8951 | [X:[1.5, 1.25, 1.5], M:[1.0, 0.75], q:[0.25], qb:[0.25], phi:[0.25]] | 2*t^2.25 + t^3. + 7*t^4.5 + 2*t^5.25 - t^6. - t^3.75/y - t^4.5/y - t^6./y - t^3.75*y - t^4.5*y - t^6.*y | detail | {a: 819/1024, c: 915/1024, X1: 3/2, X2: 5/4, X3: 3/2, M1: 1, M2: 3/4, q1: 1/4, qb1: 1/4, phi1: 1/4} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 47883 | SU3adj1nf2 | ${}q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4532 | 1.6411 | 0.8855 | [X:[1.3322], q:[0.4975, 0.5008], qb:[0.5025, 0.4959], phi:[0.3339]] | t^2.98 + t^2.99 + t^3. + t^3.005 + t^3.01 + t^3.982 + t^3.992 + t^3.997 + t^4.002 + t^4.011 + t^4.984 + t^4.993 + t^5.003 + t^5.013 + t^5.484 + t^5.489 + t^5.499 + t^5.504 + t^5.961 + t^5.971 + t^5.98 + t^5.985 + t^5.99 + t^5.995 - 2*t^6. - t^4.002/y - t^5.003/y - t^4.002*y - t^5.003*y | detail |