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 |
|---|---|---|---|---|---|---|---|---|---|
| 57297 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}^{2}\tilde{q}_{1}^{2}$ | 1.4123 | 1.5819 | 0.8928 | [X:[1.4286], M:[0.7143], q:[0.5, 0.6429], qb:[0.5, 0.6429], phi:[0.2857]] | [X:[[0, 0]], M:[[0, 0]], q:[[-1, 0], [0, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 | {a: 15501/10976, c: 17363/10976, X1: 10/7, M1: 5/7, q1: 1/2, q2: 9/14, qb1: 1/2, qb2: 9/14, phi1: 2/7} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{6}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | ${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ | 0 | t^2.143 + t^2.571 + t^3. + 2*t^3.429 + t^3.857 + 4*t^4.286 + 3*t^4.714 + 4*t^5.143 + 2*t^5.571 + 2*t^5.786 + 2*t^6.214 + 3*t^6.429 + 2*t^6.643 + 7*t^6.857 + 4*t^7.071 + 7*t^7.286 + 12*t^7.714 + 7*t^8.143 + 13*t^8.571 - 2*t^8.786 + t^8.571/y^2 - t^3.857/y - t^4.714/y - t^6./y - t^6.429/y - (2*t^6.857)/y - (3*t^7.286)/y - (2*t^8.143)/y + t^8.571/y - t^3.857*y - t^4.714*y - t^6.*y - t^6.429*y - 2*t^6.857*y - 3*t^7.286*y - 2*t^8.143*y + t^8.571*y + t^8.571*y^2 | t^2.143 + t^2.571 + t^3. + (g1*t^3.429)/g2 + (g2*t^3.429)/g1 + t^3.857 + 2*t^4.286 + (g1*t^4.286)/g2 + (g2*t^4.286)/g1 + 3*t^4.714 + 2*t^5.143 + (g1*t^5.143)/g2 + (g2*t^5.143)/g1 + 2*t^5.571 + t^5.786/(g1^2*g2) + g1^2*g2*t^5.786 - 2*t^6. + (g1*t^6.)/g2 + (g2*t^6.)/g1 + t^6.214/(g1*g2^2) + g1*g2^2*t^6.214 + 3*t^6.429 + t^6.643/(g1^2*g2) + g1^2*g2*t^6.643 + 3*t^6.857 + (g1^2*t^6.857)/g2^2 + (g1*t^6.857)/g2 + (g2*t^6.857)/g1 + (g2^2*t^6.857)/g1^2 + t^7.071/g1^3 + g1^3*t^7.071 + t^7.071/(g1*g2^2) + g1*g2^2*t^7.071 + 5*t^7.286 + (g1*t^7.286)/g2 + (g2*t^7.286)/g1 - t^7.5/(g1*g2^2) + t^7.5/(g1^2*g2) + g1^2*g2*t^7.5 - g1*g2^2*t^7.5 + 6*t^7.714 + (g1^2*t^7.714)/g2^2 + (2*g1*t^7.714)/g2 + (2*g2*t^7.714)/g1 + (g2^2*t^7.714)/g1^2 + t^7.929/(g1*g2^2) - t^7.929/(g1^2*g2) - g1^2*g2*t^7.929 + g1*g2^2*t^7.929 + t^8.143 + (3*g1*t^8.143)/g2 + (3*g2*t^8.143)/g1 - t^8.357/g1^3 - g1^3*t^8.357 + t^8.357/g2^3 - t^8.357/(g1*g2^2) + t^8.357/(g1^2*g2) + g1^2*g2*t^8.357 - g1*g2^2*t^8.357 + g2^3*t^8.357 + 7*t^8.571 + (2*g1^2*t^8.571)/g2^2 + (g1*t^8.571)/g2 + (g2*t^8.571)/g1 + (2*g2^2*t^8.571)/g1^2 - t^8.786/g2^3 + t^8.786/(g1*g2^2) - t^8.786/(g1^2*g2) - g1^2*g2*t^8.786 + g1*g2^2*t^8.786 - g2^3*t^8.786 + t^8.571/y^2 - t^3.857/y - t^4.714/y - t^6./y - t^6.429/y - (2*t^6.857)/y - t^7.286/y - (g1*t^7.286)/(g2*y) - (g2*t^7.286)/(g1*y) - (g1*t^8.143)/(g2*y) - (g2*t^8.143)/(g1*y) - t^8.571/y + (g1*t^8.571)/(g2*y) + (g2*t^8.571)/(g1*y) - t^3.857*y - t^4.714*y - t^6.*y - t^6.429*y - 2*t^6.857*y - t^7.286*y - (g1*t^7.286*y)/g2 - (g2*t^7.286*y)/g1 - (g1*t^8.143*y)/g2 - (g2*t^8.143*y)/g1 - t^8.571*y + (g1*t^8.571*y)/g2 + (g2*t^8.571*y)/g1 + t^8.571*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 |
|---|---|---|---|---|---|---|---|---|
| 57965 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{2}\phi_{1}^{3}$ | 1.3997 | 1.5604 | 0.897 | [X:[1.4286], M:[0.7143, 1.1429], q:[0.5, 0.6429], qb:[0.5, 0.6429], phi:[0.2857]] | t^2.14 + t^3. + 3*t^3.43 + t^3.86 + 4*t^4.29 + 2*t^4.71 + 3*t^5.14 + 2*t^5.57 + 2*t^5.79 - 2*t^6. - t^3.86/y - t^4.71/y - t^6./y - t^3.86*y - t^4.71*y - t^6.*y | detail | {a: 15363/10976, c: 17127/10976, X1: 10/7, M1: 5/7, M2: 8/7, q1: 1/2, q2: 9/14, qb1: 1/2, qb2: 9/14, phi1: 2/7} |
| 57966 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ | 1.4325 | 1.62 | 0.8843 | [X:[1.4286], M:[0.7143, 0.7143], q:[0.5, 0.6429], qb:[0.5, 0.6429], phi:[0.2857]] | 2*t^2.14 + t^2.57 + t^3. + 2*t^3.43 + 6*t^4.29 + 4*t^4.71 + 5*t^5.14 + 4*t^5.57 + 2*t^5.79 - t^6. - t^3.86/y - t^4.71/y - (2*t^6.)/y - t^3.86*y - t^4.71*y - 2*t^6.*y | detail | {a: 15723/10976, c: 17781/10976, X1: 10/7, M1: 5/7, M2: 5/7, q1: 1/2, q2: 9/14, qb1: 1/2, qb2: 9/14, phi1: 2/7} |
| 57964 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ | 1.4099 | 1.5795 | 0.8926 | [X:[1.4286], M:[0.7143], q:[0.5265, 0.6614], qb:[0.4735, 0.6243], phi:[0.2857]] | t^2.14 + t^2.57 + t^3. + t^3.4 + t^3.45 + t^3.86 + t^4.26 + 2*t^4.29 + t^4.31 + 3*t^4.71 + t^5.12 + 2*t^5.14 + t^5.17 + 3*t^5.57 + t^5.98 - t^6. - t^3.86/y - t^4.71/y - t^6./y - t^3.86*y - t^4.71*y - t^6.*y | detail | {a: 61899/43904, c: 69347/43904, X1: 10/7, M1: 5/7, q1: 199/378, q2: 125/189, qb1: 179/378, qb2: 118/189, phi1: 2/7} |
| 57963 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}^{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{1}\tilde{q}_{2}X_{2}$ | 1.0498 | 1.1927 | 0.8802 | [X:[1.4286, 1.4286], M:[0.7143], q:[0.2619, 0.9762], qb:[0.7381, 0.3095], phi:[0.2857]] | t^2.14 + 2*t^2.57 + t^3. + t^3.43 + 3*t^4.29 + 2*t^4.71 + 2*t^4.93 + 5*t^5.14 + 2*t^5.36 + 2*t^5.57 - t^3.86/y - t^4.71/y - t^6./y - t^3.86*y - t^4.71*y - t^6.*y | detail | {a: 11523/10976, c: 13091/10976, X1: 10/7, X2: 10/7, M1: 5/7, q1: 11/42, q2: 41/42, qb1: 31/42, qb2: 13/42, phi1: 2/7} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 47882 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4342 | 1.6257 | 0.8822 | [X:[1.3547], M:[0.8066], q:[0.4353, 0.5967], qb:[0.4353, 0.5967], phi:[0.3227]] | t^2.42 + t^2.612 + t^2.904 + 2*t^3.096 + t^3.58 + 3*t^4.064 + 2*t^4.548 + t^4.84 + 3*t^5.032 + t^5.224 + t^5.324 + 2*t^5.37 + 2*t^5.516 + 2*t^5.708 + t^5.808 + 2*t^5.854 - t^6. - t^3.968/y - t^4.936/y - t^3.968*y - t^4.936*y | detail |