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 |
|---|---|---|---|---|---|---|---|---|---|
| 57279 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}X_{2}$ | 0.9308 | 0.9942 | 0.9362 | [X:[1.6337, 1.4506], M:[0.7326], q:[0.4506, 1.1831], qb:[0.8169, 0.4506], phi:[0.1831]] | [X:[[0, 2], [0, 3]], M:[[0, -4]], q:[[-1, 6], [-1, 2]], qb:[[1, -2], [1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }X_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}q_{1}^{3}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$ | ${}$ | -2 | t^2.198 + t^2.703 + t^3.253 + t^4.352 + t^4.396 + 2*t^4.901 + t^5.407 + t^5.451 + 2*t^5.703 + t^5.956 - 2*t^6. + t^6.506 + t^6.593 + t^7.055 + 2*t^7.099 + 3*t^7.604 + 2*t^7.648 + t^8.11 + t^8.154 - t^8.198 + 2*t^8.407 - 2*t^8.451 + t^8.659 - t^8.703 - t^8.747 + t^8.791 + 2*t^8.956 + t^7.648/y^2 - t^8.747/y^2 - t^3.549/y - t^4.099/y - t^5.747/y - t^6.253/y - t^6.297/y - t^6.802/y + t^7.901/y - t^7.945/y - t^8.451/y - t^8.494/y - t^3.549*y - t^4.099*y - t^5.747*y - t^6.253*y - t^6.297*y - t^6.802*y + t^7.901*y - t^7.945*y - t^8.451*y - t^8.494*y + t^7.648*y^2 - t^8.747*y^2 | t^2.198/g2^4 + g2^6*t^2.703 + g2^5*t^3.253 + g2^3*t^4.352 + t^4.396/g2^8 + 2*g2^2*t^4.901 + g2^12*t^5.407 + g2*t^5.451 + (g1^3*t^5.703)/g2^3 + (g2^15*t^5.703)/g1^3 + g2^11*t^5.956 - 2*t^6. + g2^10*t^6.506 + t^6.593/g2^12 + g2^9*t^7.055 + (2*t^7.099)/g2^2 + 3*g2^8*t^7.604 + (2*t^7.648)/g2^3 + g2^18*t^8.11 + g2^7*t^8.154 - t^8.198/g2^4 + g1^3*g2^3*t^8.407 + (g2^21*t^8.407)/g1^3 - (g1^3*t^8.451)/g2^8 - (g2^10*t^8.451)/g1^3 + g2^17*t^8.659 - g2^6*t^8.703 - t^8.747/g2^5 + t^8.791/g2^16 + g1^3*g2^2*t^8.956 + (g2^20*t^8.956)/g1^3 + t^7.648/(g2^3*y^2) - t^8.747/(g2^5*y^2) - t^3.549/(g2*y) - t^4.099/(g2^2*y) - t^5.747/(g2^5*y) - (g2^5*t^6.253)/y - t^6.297/(g2^6*y) - (g2^4*t^6.802)/y + (g2^2*t^7.901)/y - t^7.945/(g2^9*y) - (g2*t^8.451)/y - t^8.494/(g2^10*y) - (t^3.549*y)/g2 - (t^4.099*y)/g2^2 - (t^5.747*y)/g2^5 - g2^5*t^6.253*y - (t^6.297*y)/g2^6 - g2^4*t^6.802*y + g2^2*t^7.901*y - (t^7.945*y)/g2^9 - g2*t^8.451*y - (t^8.494*y)/g2^10 + (t^7.648*y^2)/g2^3 - (t^8.747*y^2)/g2^5 |
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 |
|---|---|---|---|---|---|---|---|---|
| 57935 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }M_{1}^{2}$ + ${ }q_{1}\tilde{q}_{2}X_{3}$ | 0.7808 | 0.8589 | 0.909 | [X:[1.5, 1.25, 1.5], M:[1.0], q:[0.25, 1.25], qb:[0.75, 0.25], phi:[0.25]] | t^2.25 + t^3. + t^3.75 + 5*t^4.5 + t^5.25 - t^3.75/y - t^4.5/y - t^3.75*y - t^4.5*y | detail | {a: 1599/2048, c: 1759/2048, X1: 3/2, X2: 5/4, X3: 3/2, M1: 1, q1: 1/4, q2: 5/4, qb1: 3/4, qb2: 1/4, phi1: 1/4} |
| 57770 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{2}$ | 0.9401 | 1.0061 | 0.9344 | [X:[1.6481, 1.4722], M:[0.7037, 0.8796], q:[0.4722, 1.1759], qb:[0.8241, 0.4722], phi:[0.1759]] | t^2.11 + t^2.64 + t^2.83 + t^4.22 + t^4.42 + t^4.75 + 2*t^4.94 + t^5.28 + t^5.47 + t^5.67 + 2*t^5.83 - 2*t^6. - t^3.53/y - t^4.06/y - t^5.64/y - t^3.53*y - t^4.06*y - t^5.64*y | detail | {a: 361/384, c: 1159/1152, X1: 89/54, X2: 53/36, M1: 19/27, M2: 95/108, q1: 17/36, q2: 127/108, qb1: 89/108, qb2: 17/36, phi1: 19/108} |
| 57768 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ | 0.9243 | 0.9785 | 0.9447 | [X:[1.6535, 1.4802], M:[0.6931, 1.0396], q:[0.4802, 1.1733], qb:[0.8267, 0.4802], phi:[0.1733]] | t^2.08 + t^3.12 + t^3.4 + t^4.16 + t^4.44 + t^4.96 + t^5.2 + t^5.48 + 2*t^5.88 - 2*t^6. - t^3.52/y - t^4.04/y - t^5.6/y - t^3.52*y - t^4.04*y - t^5.6*y | detail | |
| 57766 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$ | 0.9307 | 0.9932 | 0.9371 | [X:[1.6364, 1.4545], M:[0.7273], q:[0.4545, 1.1818], qb:[0.8182, 0.4545], phi:[0.1818]] | t^2.18 + t^2.73 + t^3.27 + 2*t^4.36 + 2*t^4.91 + 2*t^5.45 + 2*t^5.73 - t^6. - t^3.55/y - t^4.09/y - t^5.73/y - t^3.55*y - t^4.09*y - t^5.73*y | detail | {a: 19821/21296, c: 1322/1331, X1: 18/11, X2: 16/11, M1: 8/11, q1: 5/11, q2: 13/11, qb1: 9/11, qb2: 5/11, phi1: 2/11} |
| 57760 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{3}X_{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 0.9287 | 0.9889 | 0.9391 | [X:[1.643, 1.4646], M:[0.7139], q:[0.4409, 1.1549], qb:[0.8451, 0.4882], phi:[0.1785]] | t^2.14 + t^2.79 + t^3.32 + t^4.28 + t^4.39 + 2*t^4.93 + t^5.46 + 2*t^5.57 - t^6. - t^3.54/y - t^4.07/y - t^5.68/y - t^3.54*y - t^4.07*y - t^5.68*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47884 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$ | 1.314 | 1.4609 | 0.8994 | [X:[1.4124], M:[1.1752], q:[0.4124, 0.7062], qb:[0.4124, 0.7062], phi:[0.2938]] | t^2.644 + 3*t^3.356 + t^3.526 + 5*t^4.237 + t^5.119 + t^5.288 + 2*t^5.474 - 2*t^6. - t^3.881/y - t^4.763/y - t^3.881*y - t^4.763*y | detail |