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 |
|---|---|---|---|---|---|---|---|---|---|
| 4849 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ | 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]] | [X:[[2]], M:[[10], [-2], [6], [2], [-2], [0], [2], [-4]], q:[[-9], [-1]], qb:[[3], [-1]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{6}$, ${ }M_{1}$, ${ }M_{8}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }X_{1}$, ${ }M_{3}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{1}M_{3}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{3}M_{8}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{7}$ | ${}$ | -2 | 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^6.081 + t^6.162 - t^6.203 + 2*t^6.284 + t^6.446 + 2*t^6.649 + 2*t^6.932 + 2*t^7.014 + 2*t^7.135 - t^7.216 + 2*t^7.297 + t^7.379 + 3*t^7.581 + 2*t^7.865 + 2*t^7.946 + 2*t^7.986 - t^8.068 + 2*t^8.149 + t^8.23 + t^8.27 + t^8.311 + 3*t^8.432 + t^8.514 + t^8.595 - 5*t^8.716 + 2*t^8.797 + t^8.838 + t^8.879 - 2*t^8.919 - t^4.216/y - t^6.365/y - t^6.932/y + t^7.135/y - t^7.297/y + t^7.5/y + (2*t^7.865)/y + t^8.068/y + t^8.149/y + t^8.23/y + t^8.432/y - t^8.514/y + (3*t^8.716)/y + (2*t^8.797)/y - t^4.216*y - t^6.365*y - t^6.932*y + t^7.135*y - t^7.297*y + t^7.5*y + 2*t^7.865*y + t^8.068*y + t^8.149*y + t^8.23*y + t^8.432*y - t^8.514*y + 3*t^8.716*y + 2*t^8.797*y | g1^6*t^2.149 + 2*g1^2*t^2.716 + t^3. + g1^10*t^3.081 + t^3.568/g1^4 + g1^4*t^3.932 + t^4.135/g1^8 + g1^2*t^4.216 + g1^12*t^4.297 + t^4.419/g1^10 + 2*g1^8*t^4.865 + g1^6*t^5.149 + g1^16*t^5.23 + t^5.27/g1^16 + 3*g1^4*t^5.432 + 2*g1^2*t^5.716 + g1^12*t^5.797 - 2*t^6. + g1^10*t^6.081 + g1^20*t^6.162 - t^6.203/g1^12 + (2*t^6.284)/g1^2 + g1^18*t^6.446 + 2*g1^6*t^6.649 + 2*g1^4*t^6.932 + 2*g1^14*t^7.014 + (2*t^7.135)/g1^8 - g1^2*t^7.216 + 2*g1^12*t^7.297 + g1^22*t^7.379 + 3*g1^10*t^7.581 + 2*g1^8*t^7.865 + 2*g1^18*t^7.946 + (2*t^7.986)/g1^14 - t^8.068/g1^4 + 2*g1^6*t^8.149 + g1^16*t^8.23 + t^8.27/g1^16 + g1^26*t^8.311 + 3*g1^4*t^8.432 + g1^14*t^8.514 + g1^24*t^8.595 - 5*g1^2*t^8.716 + 2*g1^12*t^8.797 + t^8.838/g1^20 + g1^22*t^8.879 - (2*t^8.919)/g1^10 - (g1^2*t^4.216)/y - (g1^8*t^6.365)/y - (g1^4*t^6.932)/y + t^7.135/(g1^8*y) - (g1^12*t^7.297)/y + t^7.5/y + (2*g1^8*t^7.865)/y + t^8.068/(g1^4*y) + (g1^6*t^8.149)/y + (g1^16*t^8.23)/y + (g1^4*t^8.432)/y - (g1^14*t^8.514)/y + (3*g1^2*t^8.716)/y + (2*g1^12*t^8.797)/y - g1^2*t^4.216*y - g1^8*t^6.365*y - g1^4*t^6.932*y + (t^7.135*y)/g1^8 - g1^12*t^7.297*y + t^7.5*y + 2*g1^8*t^7.865*y + (t^8.068*y)/g1^4 + g1^6*t^8.149*y + g1^16*t^8.23*y + g1^4*t^8.432*y - g1^14*t^8.514*y + 3*g1^2*t^8.716*y + 2*g1^12*t^8.797*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 |
|---|---|---|---|---|---|---|---|---|
| 6463 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ + ${ }M_{1}M_{4}$ | 0.612 | 0.7474 | 0.8188 | [X:[1.4167], M:[1.0833, 0.5833, 0.75, 0.9167, 1.0833, 1.0, 0.9167, 1.1667], q:[0.625, 0.2917], qb:[0.625, 0.7917], phi:[0.4167]] | t^2.25 + 2*t^2.75 + t^3. + t^3.25 + t^3.5 + 2*t^4. + 2*t^4.25 + t^4.5 + 3*t^5. + t^5.25 + 4*t^5.5 + 2*t^5.75 - 2*t^6. - t^4.25/y - t^4.25*y | detail | {a: 235/384, c: 287/384, X1: 17/12, M1: 13/12, M2: 7/12, M3: 3/4, M4: 11/12, M5: 13/12, M6: 1, M7: 11/12, M8: 7/6, q1: 5/8, q2: 7/24, qb1: 5/8, qb2: 19/24, phi1: 5/12} |
| 6465 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ + ${ }M_{4}M_{9}$ | 0.6054 | 0.7362 | 0.8224 | [X:[1.4082], M:[1.041, 0.5918, 0.7246, 0.9082, 1.0918, 1.0, 0.9082, 1.1836, 1.0918], q:[0.6631, 0.2959], qb:[0.6123, 0.7959], phi:[0.4082]] | t^2.174 + t^2.725 + t^3. + t^3.123 + t^3.275 + t^3.551 + t^3.949 + t^4.102 + t^4.225 + t^4.348 + t^4.377 + t^4.898 + t^5.174 + t^5.203 + t^5.297 + 2*t^5.449 + t^5.725 - t^6. - t^4.225/y - t^4.225*y | detail | |
| 6469 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}^{2}$ + ${ }M_{2}X_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ + ${ }M_{9}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6347 | 0.7909 | 0.8024 | [X:[1.4062], M:[1.0308, 0.5938, 0.7185, 0.9062, 1.0938, 1.0, 0.9062, 1.1877, 0.6877], q:[0.6723, 0.2969], qb:[0.6092, 0.7969], phi:[0.4062]] | t^2.063 + t^2.155 + 2*t^2.718 + t^3. + t^3.092 + t^3.563 + 2*t^4.126 + 2*t^4.218 + t^4.311 + t^4.408 + 2*t^4.782 + 2*t^4.874 + t^5.063 + 2*t^5.155 + t^5.248 + t^5.252 + 3*t^5.437 + t^5.626 + 2*t^5.718 + t^5.811 - 2*t^6. - t^4.218/y - t^4.218*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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | 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^4.204/y - t^4.204*y | detail |