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 |
|---|---|---|---|---|---|---|---|---|---|
| 2675 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{5}M_{7}$ | 0.63 | 0.7797 | 0.8081 | [X:[1.4015], M:[1.0073, 0.5985, 0.7044, 0.9015, 1.0985, 1.0, 0.9015], q:[0.6934, 0.2993], qb:[0.6022, 0.7993], phi:[0.4015]] | [X:[[2]], M:[[10], [-2], [6], [2], [-2], [0], [2]], q:[[-9], [-1]], qb:[[3], [-1]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{6}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }X_{1}$, ${ }M_{3}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{7}$ | ${}$ | -2 | t^2.113 + t^2.409 + 2*t^2.704 + t^3. + t^3.022 + t^3.909 + t^4.182 + t^4.204 + t^4.226 + t^4.478 + t^4.522 + 3*t^4.818 + 3*t^5.113 + t^5.135 + t^5.365 + 4*t^5.409 + t^5.431 + t^5.704 + t^5.726 - 2*t^6. + t^6.022 + t^6.044 - t^6.274 + t^6.318 + t^6.339 + 2*t^6.613 + t^6.635 + t^6.887 + 2*t^6.909 + 3*t^6.931 + t^7.182 - t^7.204 + 5*t^7.226 + t^7.248 - t^7.5 + 6*t^7.522 + t^7.544 - t^7.796 + 5*t^7.818 + 3*t^7.839 + t^8.069 - t^8.091 + 3*t^8.113 + 2*t^8.135 + t^8.157 + t^8.365 - t^8.409 + 2*t^8.431 + 2*t^8.453 - t^8.682 - 6*t^8.704 + 2*t^8.726 + 2*t^8.748 - 2*t^8.978 - t^4.204/y - t^6.318/y - t^6.613/y - t^6.909/y + t^7.182/y - t^7.226/y + t^7.5/y + t^7.522/y + t^7.796/y + (2*t^7.818)/y + t^8.091/y + (3*t^8.113)/y + t^8.135/y + (2*t^8.409)/y + (2*t^8.704)/y + t^8.726/y - t^4.204*y - t^6.318*y - t^6.613*y - t^6.909*y + t^7.182*y - t^7.226*y + t^7.5*y + t^7.522*y + t^7.796*y + 2*t^7.818*y + t^8.091*y + 3*t^8.113*y + t^8.135*y + 2*t^8.409*y + 2*t^8.704*y + t^8.726*y | g1^6*t^2.113 + g1^4*t^2.409 + 2*g1^2*t^2.704 + t^3. + g1^10*t^3.022 + g1^4*t^3.909 + t^4.182/g1^8 + g1^2*t^4.204 + g1^12*t^4.226 + t^4.478/g1^10 + g1^10*t^4.522 + 3*g1^8*t^4.818 + 3*g1^6*t^5.113 + g1^16*t^5.135 + t^5.365/g1^16 + 4*g1^4*t^5.409 + g1^14*t^5.431 + g1^2*t^5.704 + g1^12*t^5.726 - 2*t^6. + g1^10*t^6.022 + g1^20*t^6.044 - t^6.274/g1^12 + g1^8*t^6.318 + g1^18*t^6.339 + 2*g1^6*t^6.613 + g1^16*t^6.635 + t^6.887/g1^6 + 2*g1^4*t^6.909 + 3*g1^14*t^6.931 + t^7.182/g1^8 - g1^2*t^7.204 + 5*g1^12*t^7.226 + g1^22*t^7.248 - t^7.5 + 6*g1^10*t^7.522 + g1^20*t^7.544 - t^7.796/g1^2 + 5*g1^8*t^7.818 + 3*g1^18*t^7.839 + t^8.069/g1^14 - t^8.091/g1^4 + 3*g1^6*t^8.113 + 2*g1^16*t^8.135 + g1^26*t^8.157 + t^8.365/g1^16 - g1^4*t^8.409 + 2*g1^14*t^8.431 + 2*g1^24*t^8.453 - t^8.682/g1^8 - 6*g1^2*t^8.704 + 2*g1^12*t^8.726 + 2*g1^22*t^8.748 - (2*t^8.978)/g1^10 - (g1^2*t^4.204)/y - (g1^8*t^6.318)/y - (g1^6*t^6.613)/y - (g1^4*t^6.909)/y + t^7.182/(g1^8*y) - (g1^12*t^7.226)/y + t^7.5/y + (g1^10*t^7.522)/y + t^7.796/(g1^2*y) + (2*g1^8*t^7.818)/y + t^8.091/(g1^4*y) + (3*g1^6*t^8.113)/y + (g1^16*t^8.135)/y + (2*g1^4*t^8.409)/y + (2*g1^2*t^8.704)/y + (g1^12*t^8.726)/y - g1^2*t^4.204*y - g1^8*t^6.318*y - g1^6*t^6.613*y - g1^4*t^6.909*y + (t^7.182*y)/g1^8 - g1^12*t^7.226*y + t^7.5*y + g1^10*t^7.522*y + (t^7.796*y)/g1^2 + 2*g1^8*t^7.818*y + (t^8.091*y)/g1^4 + 3*g1^6*t^8.113*y + g1^16*t^8.135*y + 2*g1^4*t^8.409*y + 2*g1^2*t^8.704*y + g1^12*t^8.726*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 4848 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{1}M_{4}$ | 0.6263 | 0.7721 | 0.8111 | [X:[1.4167], M:[1.0833, 0.5833, 0.75, 0.9167, 1.0833, 1.0, 0.9167], q:[0.625, 0.2917], qb:[0.625, 0.7917], phi:[0.4167]] | t^2.25 + t^2.5 + 2*t^2.75 + t^3. + t^3.25 + 2*t^4. + 2*t^4.25 + t^4.5 + t^4.75 + 4*t^5. + 3*t^5.25 + 5*t^5.5 + 2*t^5.75 - 2*t^6. - t^4.25/y - t^4.25*y | detail | {a: 481/768, c: 593/768, X1: 17/12, M1: 13/12, M2: 7/12, M3: 3/4, M4: 11/12, M5: 13/12, M6: 1, M7: 11/12, q1: 5/8, q2: 7/24, qb1: 5/8, qb2: 19/24, phi1: 5/12} |
| 4850 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6506 | 0.8191 | 0.7943 | [X:[1.4024], M:[1.0121, 0.5976, 0.7072, 0.9024, 1.0976, 1.0, 0.9024, 0.6952], q:[0.6891, 0.2988], qb:[0.6036, 0.7988], phi:[0.4024]] | t^2.086 + t^2.122 + t^2.414 + 2*t^2.707 + t^3. + t^3.036 + 2*t^4.171 + 2*t^4.207 + t^4.243 + t^4.464 + t^4.5 + t^4.536 + 2*t^4.793 + 3*t^4.829 + t^5.086 + 4*t^5.122 + t^5.158 + t^5.342 + 4*t^5.414 + t^5.451 + t^5.707 + t^5.743 - 2*t^6. - t^4.207/y - t^4.207*y | detail | |
| 4849 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.614 | 0.7508 | 0.8178 | [X:[1.4054], M:[1.0271, 0.5946, 0.7162, 0.9054, 1.0946, 1.0, 0.9054, 1.1892], q:[0.6757, 0.2973], qb:[0.6081, 0.7973], phi:[0.4054]] | t^2.149 + 2*t^2.716 + t^3. + t^3.081 + t^3.568 + t^3.932 + t^4.135 + t^4.216 + t^4.297 + t^4.419 + 2*t^4.865 + t^5.149 + t^5.23 + t^5.27 + 3*t^5.432 + 2*t^5.716 + t^5.797 - 2*t^6. - t^4.216/y - t^4.216*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1563 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{2}X_{1}$ | 0.6212 | 0.7642 | 0.8129 | [X:[1.4041], M:[1.0207, 0.5959, 0.7124, 0.9041, 1.0959, 1.0], q:[0.6814, 0.2979], qb:[0.6062, 0.7979], phi:[0.4041]] | t^2.137 + t^2.425 + t^2.712 + t^3. + t^3.062 + t^3.288 + t^3.925 + t^4.15 + t^4.212 + t^4.274 + t^4.438 + t^4.562 + 2*t^4.85 + 2*t^5.137 + t^5.199 + t^5.301 + 3*t^5.425 + t^5.487 + t^5.712 - t^6. - t^4.212/y - t^4.212*y | detail |