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 |
|---|---|---|---|---|---|---|---|---|---|
| 1746 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ | 0.6212 | 0.7607 | 0.8166 | [X:[1.6162], M:[0.8487, 0.6865, 1.1513, 0.3838], q:[0.4041, 0.7473], qb:[0.4446, 0.8689], phi:[0.3838]] | [X:[[0, 1]], M:[[0, 3], [0, -7], [0, -3], [0, -1]], q:[[1, -4], [-1, 1]], qb:[[-1, 7], [1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ \phi_1^2$, $ M_1$, $ M_3$, $ \phi_1q_1^2$, $ q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_2^2$, $ M_2\phi_1^2$, $ M_1M_2$, $ \phi_1^4$, $ \phi_1q_1q_2$, $ M_1\phi_1^2$, $ X_1$, $ M_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_3$, $ M_2\phi_1q_1^2$, $ \phi_1q_2^2$, $ M_3\phi_1^2$, $ \phi_1^3q_1^2$, $ \phi_1^2q_2\tilde{q}_1$ | $\phi_1^3q_1\tilde{q}_1$ | -1 | t^2.06 + t^2.3 + t^2.55 + t^3.45 + 2*t^3.58 + t^3.7 + 2*t^3.82 + t^4.12 + t^4.36 + 2*t^4.61 + 2*t^4.85 + t^5.09 + t^5.51 + 2*t^5.64 + t^5.76 + 2*t^5.88 - t^6. + 2*t^6.12 + t^6.18 + 2*t^6.36 + t^6.42 + 2*t^6.66 + 3*t^6.91 + 4*t^7.15 + 3*t^7.39 + t^7.57 + 3*t^7.64 + 2*t^7.69 + t^7.82 + 2*t^7.94 - t^8.06 + 2*t^8.18 + t^8.24 - t^8.3 + 2*t^8.42 + t^8.48 - 3*t^8.55 + 2*t^8.67 + 2*t^8.72 - t^8.79 + 2*t^8.91 + 3*t^8.97 - t^4.15/y - t^6.21/y - t^6.45/y + t^7.36/y + t^7.61/y + (2*t^7.85)/y + t^8.09/y - t^8.27/y + (2*t^8.64)/y + t^8.76/y + (4*t^8.88)/y - t^4.15*y - t^6.21*y - t^6.45*y + t^7.36*y + t^7.61*y + 2*t^7.85*y + t^8.09*y - t^8.27*y + 2*t^8.64*y + t^8.76*y + 4*t^8.88*y | t^2.06/g2^7 + t^2.3/g2^2 + g2^3*t^2.55 + t^3.45/g2^3 + (g1^2*t^3.58)/g2^9 + (g2^8*t^3.58)/g1^2 + g2^2*t^3.7 + (g1^2*t^3.82)/g2^4 + (g2^13*t^3.82)/g1^2 + t^4.12/g2^14 + t^4.36/g2^9 + (2*t^4.61)/g2^4 + 2*g2*t^4.85 + g2^6*t^5.09 + t^5.51/g2^10 + (g1^2*t^5.64)/g2^16 + (g2*t^5.64)/g1^2 + t^5.76/g2^5 + (g1^2*t^5.88)/g2^11 + (g2^6*t^5.88)/g1^2 - t^6. + (g1^2*t^6.12)/g2^6 + (g2^11*t^6.12)/g1^2 + t^6.18/g2^21 + (g1^2*t^6.36)/g2 + (g2^16*t^6.36)/g1^2 + t^6.42/g2^16 + (2*t^6.66)/g2^11 + (3*t^6.91)/g2^6 + (g1^4*t^7.15)/g2^18 + (2*t^7.15)/g2 + (g2^16*t^7.15)/g1^4 + (g1^4*t^7.39)/g2^13 + g2^4*t^7.39 + (g2^21*t^7.39)/g1^4 + t^7.57/g2^17 + (g1^4*t^7.64)/g2^8 + g2^9*t^7.64 + (g2^26*t^7.64)/g1^4 + (g1^2*t^7.69)/g2^23 + t^7.69/(g1^2*g2^6) + t^7.82/g2^12 + (g1^2*t^7.94)/g2^18 + t^7.94/(g1^2*g2) - t^8.06/g2^7 + (g1^2*t^8.18)/g2^13 + (g2^4*t^8.18)/g1^2 + t^8.24/g2^28 - t^8.3/g2^2 + (g1^2*t^8.42)/g2^8 + (g2^9*t^8.42)/g1^2 + t^8.48/g2^23 - 3*g2^3*t^8.55 + (g1^2*t^8.67)/g2^3 + (g2^14*t^8.67)/g1^2 + (2*t^8.72)/g2^18 - g2^8*t^8.79 + g1^2*g2^2*t^8.91 + (g2^19*t^8.91)/g1^2 + (3*t^8.97)/g2^13 - t^4.15/(g2*y) - t^6.21/(g2^8*y) - t^6.45/(g2^3*y) + t^7.36/(g2^9*y) + t^7.61/(g2^4*y) + (2*g2*t^7.85)/y + (g2^6*t^8.09)/y - t^8.27/(g2^15*y) + (g1^2*t^8.64)/(g2^16*y) + (g2*t^8.64)/(g1^2*y) + t^8.76/(g2^5*y) + (2*g1^2*t^8.88)/(g2^11*y) + (2*g2^6*t^8.88)/(g1^2*y) - (t^4.15*y)/g2 - (t^6.21*y)/g2^8 - (t^6.45*y)/g2^3 + (t^7.36*y)/g2^9 + (t^7.61*y)/g2^4 + 2*g2*t^7.85*y + g2^6*t^8.09*y - (t^8.27*y)/g2^15 + (g1^2*t^8.64*y)/g2^16 + (g2*t^8.64*y)/g1^2 + (t^8.76*y)/g2^5 + (2*g1^2*t^8.88*y)/g2^11 + (2*g2^6*t^8.88*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 |
|---|---|---|---|---|---|---|---|---|
| 2748 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_2M_5$ | 0.6005 | 0.7211 | 0.8327 | [X:[1.614], M:[0.8421, 0.7018, 1.1579, 0.386, 1.2982], q:[0.4035, 0.7544], qb:[0.4386, 0.8596], phi:[0.386]] | t^2.32 + t^2.53 + t^3.47 + 2*t^3.58 + t^3.68 + 2*t^3.79 + t^3.89 + t^4.63 + 2*t^4.84 + t^5.05 - t^6. - t^4.16/y - t^4.16*y | detail | {a: 5203/8664, c: 781/1083, X1: 92/57, M1: 16/19, M2: 40/57, M3: 22/19, M4: 22/57, M5: 74/57, q1: 23/57, q2: 43/57, qb1: 25/57, qb2: 49/57, phi1: 22/57} |
| 2750 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_5\phi_1q_1\tilde{q}_1$ | 0.6395 | 0.7939 | 0.8055 | [X:[1.6178], M:[0.8533, 0.6756, 1.1467, 0.3822, 0.7645], q:[0.4044, 0.7423], qb:[0.4489, 0.8755], phi:[0.3822]] | t^2.03 + 2*t^2.29 + t^2.56 + t^3.44 + 2*t^3.57 + 2*t^3.84 + t^4.05 + 2*t^4.32 + 4*t^4.59 + 3*t^4.85 + t^5.12 + t^5.47 + 2*t^5.6 + t^5.73 + 4*t^5.87 - 2*t^6. - t^4.15/y - t^4.15*y | detail | |
| 2749 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_5\phi_1q_1^2$ | 0.6384 | 0.7922 | 0.8058 | [X:[1.6159], M:[0.8476, 0.689, 1.1524, 0.3841, 0.77], q:[0.4229, 0.7295], qb:[0.4246, 0.8863], phi:[0.3841]] | t^2.07 + t^2.3 + t^2.31 + t^2.54 + 2*t^3.46 + 2*t^3.7 + t^3.93 + t^4.13 + t^4.37 + t^4.38 + 3*t^4.61 + t^4.62 + 3*t^4.85 + t^5.09 + t^5.52 + t^5.53 + t^5.76 + 3*t^5.77 - t^6. - t^4.15/y - t^4.15*y | detail | |
| 2751 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_5\phi_1\tilde{q}_1^2$ | 0.6414 | 0.7996 | 0.8022 | [X:[1.6177], M:[0.8532, 0.676, 1.1468, 0.3823, 0.7046], q:[0.3966, 0.7502], qb:[0.4565, 0.8675], phi:[0.3823]] | t^2.03 + t^2.11 + t^2.29 + t^2.56 + t^3.44 + t^3.53 + t^3.62 + t^3.71 + t^3.79 + t^4.06 + t^4.14 + t^4.23 + t^4.32 + t^4.41 + 2*t^4.59 + t^4.67 + 2*t^4.85 + t^5.12 + t^5.47 + 2*t^5.55 + t^5.64 + t^5.65 + 2*t^5.73 + 2*t^5.82 + t^5.91 - t^6. - t^4.15/y - t^4.15*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 |
|---|---|---|---|---|---|---|---|---|---|
| 228 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ | 0.7272 | 0.8931 | 0.8142 | [X:[], M:[1.0, 0.7935, 1.0, 0.7935], q:[0.4543, 0.5457], qb:[0.5457, 0.6608], phi:[0.4484]] | 2*t^2.38 + t^2.69 + 2*t^3. + t^3.27 + t^3.35 + t^4.07 + 2*t^4.35 + 3*t^4.62 + t^4.69 + 3*t^4.76 + 2*t^4.96 + 2*t^5.07 + t^5.31 + 4*t^5.38 + 2*t^5.69 + t^5.96 - 3*t^6. - t^4.35/y - t^4.35*y | detail |