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 |
|---|---|---|---|---|---|---|---|---|---|
| 2025 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1M_5$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_3X_1$ | 0.5502 | 0.6745 | 0.8157 | [X:[1.5729], M:[1.2812, 1.1459, 0.4271, 0.9895, 0.7188, 1.0105], q:[0.3699, 0.3489], qb:[0.6406, 0.9323], phi:[0.4271]] | [X:[[2]], M:[[-6], [4], [-2], [-14], [6], [14]], q:[[17], [-11]], qb:[[-3], [5]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_4$, $ M_6$, $ \phi_1q_2^2$, $ M_2$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ M_1$, $ q_1\tilde{q}_2$, $ M_5^2$, $ \phi_1q_1\tilde{q}_1$, $ X_1$, $ M_4M_5$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_5M_6$, $ \phi_1q_1\tilde{q}_2$, $ M_2M_5$, $ M_5\phi_1q_1q_2$, $ M_5\phi_1q_1^2$ | . | -1 | t^2.16 + t^2.97 + t^3.03 + t^3.37 + 2*t^3.44 + t^3.5 + t^3.84 + t^3.91 + t^4.31 + t^4.72 + t^5.12 + t^5.19 + t^5.59 + t^5.66 - t^6. + t^6.06 + t^6.34 + t^6.41 + 2*t^6.47 + t^6.53 + t^6.75 + t^6.81 + 3*t^6.88 + 2*t^6.94 + t^7. + t^7.28 + 2*t^7.34 + t^7.41 + t^7.75 + 2*t^7.81 - t^8.16 + t^8.22 + t^8.63 + t^8.69 - 3*t^8.97 - t^4.28/y + t^8.12/y + t^8.19/y + t^8.53/y + (2*t^8.59)/y + t^8.66/y - t^4.28*y + t^8.12*y + t^8.19*y + t^8.53*y + 2*t^8.59*y + t^8.66*y | g1^6*t^2.16 + t^2.97/g1^14 + g1^14*t^3.03 + t^3.37/g1^24 + 2*g1^4*t^3.44 + g1^32*t^3.5 + t^3.84/g1^6 + g1^22*t^3.91 + g1^12*t^4.31 + g1^2*t^4.72 + t^5.12/g1^8 + g1^20*t^5.19 + g1^10*t^5.59 + g1^38*t^5.66 - t^6. + g1^28*t^6.06 + t^6.34/g1^38 + t^6.41/g1^10 + 2*g1^18*t^6.47 + g1^46*t^6.53 + t^6.75/g1^48 + t^6.81/g1^20 + 3*g1^8*t^6.88 + 2*g1^36*t^6.94 + g1^64*t^7. + t^7.28/g1^2 + 2*g1^26*t^7.34 + g1^54*t^7.41 + g1^16*t^7.75 + 2*g1^44*t^7.81 - g1^6*t^8.16 + g1^34*t^8.22 + g1^24*t^8.63 + g1^52*t^8.69 - (3*t^8.97)/g1^14 - t^4.28/(g1^2*y) + t^8.12/(g1^8*y) + (g1^20*t^8.19)/y + t^8.53/(g1^18*y) + (2*g1^10*t^8.59)/y + (g1^38*t^8.66)/y - (t^4.28*y)/g1^2 + (t^8.12*y)/g1^8 + g1^20*t^8.19*y + (t^8.53*y)/g1^18 + 2*g1^10*t^8.59*y + g1^38*t^8.66*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 |
|---|---|---|---|---|---|---|---|---|
| 3091 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1M_5$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_3X_1$ + $ M_4M_7$ | 0.5501 | 0.6763 | 0.8134 | [X:[1.5701], M:[1.2898, 1.1401, 0.4299, 1.0095, 0.7102, 0.9905, 0.9905], q:[0.3455, 0.3646], qb:[0.6449, 0.9252], phi:[0.4299]] | t^2.13 + 2*t^2.97 + t^3.36 + 2*t^3.42 + t^3.48 + t^3.81 + t^3.87 + t^4.26 + t^4.71 + 2*t^5.1 + t^5.49 + t^5.55 + 3*t^5.94 - 2*t^6. - t^4.29/y - t^4.29*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 |
|---|---|---|---|---|---|---|---|---|---|
| 837 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1M_5$ | 0.6995 | 0.856 | 0.8172 | [X:[], M:[1.0482, 1.0302, 0.8913, 0.9877, 0.9518, 1.0123], q:[0.4881, 0.4636], qb:[0.5241, 0.5846], phi:[0.4849]] | t^2.67 + t^2.86 + t^2.96 + t^3.04 + t^3.09 + t^3.14 + t^3.22 + t^4.24 + t^4.31 + t^4.38 + t^4.42 + t^4.49 + 2*t^4.6 + t^4.67 + t^4.78 + t^4.96 + t^5.35 + t^5.53 + t^5.71 + t^5.76 + t^5.89 + t^5.95 - 2*t^6. - t^4.45/y - t^4.45*y | detail |