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 |
|---|---|---|---|---|---|---|---|---|---|
| 1565 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{4}$ | 0.6978 | 0.8558 | 0.8154 | [M:[0.9244, 1.0378, 1.0, 0.9622, 1.0378, 0.9622], q:[0.5567, 0.5189], qb:[0.4433, 0.5189], phi:[0.4906]] | [M:[[-8], [4], [0], [-4], [4], [-4]], q:[[6], [2]], qb:[[-6], [2]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }M_{4}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\phi_{1}^{2}$ | ${}M_{2}M_{6}$ | -2 | t^2.773 + 2*t^2.887 + t^2.943 + t^3. + t^3.113 + t^3.227 + t^4.131 + 2*t^4.358 + t^4.472 + 3*t^4.585 + 2*t^4.698 + t^4.812 + t^5.546 + t^5.66 + t^5.717 + 2*t^5.773 + 2*t^5.83 + 2*t^5.887 + t^5.943 - 2*t^6. + t^6.057 + t^6.17 + t^6.454 + t^6.905 + 2*t^7.018 + t^7.075 + 2*t^7.131 - t^7.188 + 3*t^7.245 + 2*t^7.302 + 4*t^7.358 - t^7.415 + 4*t^7.472 + 2*t^7.528 + 4*t^7.585 - t^7.642 + 4*t^7.698 - t^7.755 + 3*t^7.812 - t^7.869 + 2*t^7.925 + t^8.039 + t^8.263 + t^8.32 + t^8.433 + 3*t^8.49 + 2*t^8.603 + 2*t^8.66 + 5*t^8.717 - t^8.773 + 4*t^8.83 - 6*t^8.887 + 3*t^8.943 - t^4.472/y - t^7.245/y - t^7.415/y + t^7.528/y + t^7.698/y + (2*t^8.66)/y + t^8.717/y + (2*t^8.773)/y + (2*t^8.83)/y + (3*t^8.887)/y + t^8.943/y - t^4.472*y - t^7.245*y - t^7.415*y + t^7.528*y + t^7.698*y + 2*t^8.66*y + t^8.717*y + 2*t^8.773*y + 2*t^8.83*y + 3*t^8.887*y + t^8.943*y | t^2.773/g1^8 + (2*t^2.887)/g1^4 + t^2.943/g1^2 + t^3. + g1^4*t^3.113 + g1^8*t^3.227 + t^4.131/g1^13 + (2*t^4.358)/g1^5 + t^4.472/g1 + 3*g1^3*t^4.585 + 2*g1^7*t^4.698 + g1^11*t^4.812 + t^5.546/g1^16 + t^5.66/g1^12 + t^5.717/g1^10 + (2*t^5.773)/g1^8 + (2*t^5.83)/g1^6 + (2*t^5.887)/g1^4 + t^5.943/g1^2 - 2*t^6. + g1^2*t^6.057 + g1^6*t^6.17 + g1^16*t^6.454 + t^6.905/g1^21 + (2*t^7.018)/g1^17 + t^7.075/g1^15 + (2*t^7.131)/g1^13 - t^7.188/g1^11 + (3*t^7.245)/g1^9 + (2*t^7.302)/g1^7 + (4*t^7.358)/g1^5 - t^7.415/g1^3 + (4*t^7.472)/g1 + 2*g1*t^7.528 + 4*g1^3*t^7.585 - g1^5*t^7.642 + 4*g1^7*t^7.698 - g1^9*t^7.755 + 3*g1^11*t^7.812 - g1^13*t^7.869 + 2*g1^15*t^7.925 + g1^19*t^8.039 + t^8.263/g1^26 + t^8.32/g1^24 + t^8.433/g1^20 + (3*t^8.49)/g1^18 + (2*t^8.603)/g1^14 + (2*t^8.66)/g1^12 + (5*t^8.717)/g1^10 - t^8.773/g1^8 + (4*t^8.83)/g1^6 - (6*t^8.887)/g1^4 + (3*t^8.943)/g1^2 - t^4.472/(g1*y) - t^7.245/(g1^9*y) - t^7.415/(g1^3*y) + (g1*t^7.528)/y + (g1^7*t^7.698)/y + (2*t^8.66)/(g1^12*y) + t^8.717/(g1^10*y) + (2*t^8.773)/(g1^8*y) + (2*t^8.83)/(g1^6*y) + (3*t^8.887)/(g1^4*y) + t^8.943/(g1^2*y) - (t^4.472*y)/g1 - (t^7.245*y)/g1^9 - (t^7.415*y)/g1^3 + g1*t^7.528*y + g1^7*t^7.698*y + (2*t^8.66*y)/g1^12 + (t^8.717*y)/g1^10 + (2*t^8.773*y)/g1^8 + (2*t^8.83*y)/g1^6 + (3*t^8.887*y)/g1^4 + (t^8.943*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2677 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{4}$ + ${ }M_{2}M_{7}$ | 0.7018 | 0.8633 | 0.8129 | [M:[0.9043, 1.0478, 1.0, 0.9522, 1.0478, 0.9522, 0.9522], q:[0.5718, 0.5239], qb:[0.4282, 0.5239], phi:[0.488]] | t^2.713 + 3*t^2.856 + t^2.928 + t^3. + t^3.287 + t^4.034 + 2*t^4.321 + t^4.464 + 3*t^4.608 + 2*t^4.751 + t^4.895 + t^5.426 + 2*t^5.569 + t^5.641 + 5*t^5.713 + 3*t^5.785 + 2*t^5.856 + t^5.928 - 4*t^6. - t^4.464/y - t^4.464*y | detail | |
| 2683 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{4}$ + ${ }M_{4}M_{7}$ | 0.6947 | 0.8505 | 0.8168 | [M:[0.9451, 1.0275, 1.0, 0.9725, 1.0275, 0.9725, 1.0275], q:[0.5412, 0.5137], qb:[0.4588, 0.5137], phi:[0.4931]] | t^2.835 + t^2.918 + t^2.959 + t^3. + 2*t^3.082 + t^3.165 + t^4.232 + 2*t^4.397 + t^4.479 + 3*t^4.562 + 2*t^4.644 + t^4.727 + t^5.67 + t^5.794 + t^5.876 + 2*t^5.918 + t^5.959 - 2*t^6. - t^4.479/y - t^4.479*y | detail | |
| 2682 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}M_{4}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}X_{1}$ | 0.5767 | 0.7188 | 0.8024 | [X:[1.3636], M:[0.6364, 1.1818, 1.0, 0.8182, 1.1818, 0.8182], q:[0.7727, 0.5909], qb:[0.2273, 0.5909], phi:[0.4545]] | 2*t^2.455 + 2*t^2.727 + t^3. + t^3.545 + 2*t^3.818 + 2*t^4.091 + 4*t^4.909 + 4*t^5.182 + 5*t^5.455 + t^5.727 - 3*t^6. - t^4.364/y - t^4.364*y | detail | {a: 6141/10648, c: 15307/21296, X1: 15/11, M1: 7/11, M2: 13/11, M3: 1, M4: 9/11, M5: 13/11, M6: 9/11, q1: 17/22, q2: 13/22, qb1: 5/22, qb2: 13/22, phi1: 5/11} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 990 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}^{2}$ + ${ }M_{5}M_{6}$ | 0.7033 | 0.8629 | 0.815 | [M:[0.9677, 0.9602, 1.0, 0.9279, 1.0721, 0.9279], q:[0.5522, 0.4801], qb:[0.4478, 0.592], phi:[0.482]] | 2*t^2.784 + t^2.881 + t^2.892 + t^2.903 + t^3. + t^3.433 + t^4.133 + t^4.23 + t^4.326 + t^4.446 + t^4.543 + t^4.565 + t^4.662 + t^4.759 + t^4.878 + t^4.998 + 2*t^5.567 + t^5.664 + 2*t^5.676 + t^5.687 + t^5.761 + t^5.772 + 3*t^5.784 + t^5.795 + t^5.806 + t^5.892 - 3*t^6. - t^4.446/y - t^4.446*y | detail |