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 |
|---|---|---|---|---|---|---|---|---|---|
| 46999 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_3M_5$ + $ M_6q_2\tilde{q}_2$ | 0.6993 | 0.8739 | 0.8002 | [X:[], M:[0.9554, 0.9803, 1.1254, 0.6881, 0.8746, 0.7689], q:[0.5948, 0.4498], qb:[0.4248, 0.7813], phi:[0.4373]] | [X:[], M:[[1, -7], [-1, -11], [0, 4], [0, 6], [0, -4], [1, 3]], q:[[0, 11], [-1, -4]], qb:[[1, 0], [0, 1]], phi:[[0, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_6$, $ M_5$, $ \phi_1^2$, $ M_1$, $ M_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2^2$, $ M_4^2$, $ q_1\tilde{q}_2$, $ M_4M_6$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1q_2$, $ M_6^2$, $ M_4M_5$, $ M_4\phi_1^2$, $ \phi_1q_1^2$, $ M_1M_4$, $ M_5M_6$, $ M_6\phi_1^2$, $ M_2M_4$, $ M_1M_6$, $ M_5^2$, $ M_2M_6$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_1M_5$, $ M_1\phi_1^2$, $ M_2M_5$, $ M_2\phi_1^2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_1M_2$, $ M_2^2$, $ M_4\phi_1\tilde{q}_1^2$, $ M_6\tilde{q}_1\tilde{q}_2$ | . | -3 | t^2.06 + t^2.31 + 2*t^2.62 + t^2.87 + t^2.94 + t^3.62 + t^3.86 + t^4.01 + 2*t^4.13 + 2*t^4.37 + t^4.45 + t^4.61 + 2*t^4.69 + t^4.88 + 3*t^4.93 + t^5.01 + t^5.17 + 4*t^5.25 + t^5.49 + t^5.56 + t^5.68 + t^5.73 + t^5.81 + t^5.88 + t^5.93 - 3*t^6. + t^6.17 + 2*t^6.19 + t^6.24 + 2*t^6.44 + 3*t^6.48 + 2*t^6.63 + 2*t^6.68 + t^6.73 + 3*t^6.75 + t^6.92 + 2*t^6.95 + 4*t^6.99 + 2*t^7.07 + t^7.19 + 3*t^7.24 + 3*t^7.31 - t^7.39 + 2*t^7.48 + t^7.5 + 4*t^7.55 + t^7.63 + t^7.72 + t^7.75 + 2*t^7.8 - t^7.82 + 6*t^7.87 + t^7.95 + 2*t^7.99 + t^8.02 + t^8.04 - 4*t^8.06 + 2*t^8.11 + 2*t^8.19 + 2*t^8.23 + 2*t^8.26 - 3*t^8.31 + t^8.36 - 2*t^8.38 + t^8.43 + t^8.46 + t^8.47 + 3*t^8.5 + t^8.51 + 2*t^8.55 + t^8.6 - 6*t^8.62 + t^8.67 + 3*t^8.74 + t^8.75 + 3*t^8.79 + 2*t^8.82 - 2*t^8.87 + t^8.89 - 3*t^8.94 + 2*t^8.98 - t^4.31/y - t^6.38/y - t^6.62/y - t^6.94/y - t^7.18/y - t^7.25/y + (2*t^7.37)/y + t^7.45/y + (3*t^7.69)/y + (3*t^7.93)/y + (2*t^8.01)/y + t^8.17/y + (3*t^8.25)/y - t^8.44/y + (2*t^8.49)/y + (2*t^8.56)/y + t^8.81/y + t^8.93/y - t^4.31*y - t^6.38*y - t^6.62*y - t^6.94*y - t^7.18*y - t^7.25*y + 2*t^7.37*y + t^7.45*y + 3*t^7.69*y + 3*t^7.93*y + 2*t^8.01*y + t^8.17*y + 3*t^8.25*y - t^8.44*y + 2*t^8.49*y + 2*t^8.56*y + t^8.81*y + t^8.93*y | g2^6*t^2.06 + g1*g2^3*t^2.31 + (2*t^2.62)/g2^4 + (g1*t^2.87)/g2^7 + t^2.94/(g1*g2^11) + g1*g2*t^3.62 + (g1^2*t^3.86)/g2^2 + t^4.01/(g1^2*g2^10) + 2*g2^12*t^4.13 + 2*g1*g2^9*t^4.37 + (g2^5*t^4.45)/g1 + g1^2*g2^6*t^4.61 + 2*g2^2*t^4.69 + g2^20*t^4.88 + (3*g1*t^4.93)/g2 + t^5.01/(g1*g2^5) + (g1^2*t^5.17)/g2^4 + (4*t^5.25)/g2^8 + (g1*t^5.49)/g2^11 + t^5.56/(g1*g2^15) + g1*g2^7*t^5.68 + (g1^2*t^5.73)/g2^14 + t^5.81/g2^18 + t^5.88/(g1^2*g2^22) + g1^2*g2^4*t^5.93 - 3*t^6. + g1^3*g2*t^6.17 + 2*g2^18*t^6.19 + (g1*t^6.24)/g2^3 + 2*g1*g2^15*t^6.44 + (3*g1^2*t^6.48)/g2^6 + (2*t^6.63)/(g1^2*g2^14) + 2*g1^2*g2^12*t^6.68 + (g1^3*t^6.73)/g2^9 + 3*g2^8*t^6.75 + g1^3*g2^9*t^6.92 + t^6.95/(g1^3*g2^21) + g2^26*t^6.95 + 4*g1*g2^5*t^6.99 + (2*g2*t^7.07)/g1 + g1*g2^23*t^7.19 + 3*g1^2*g2^2*t^7.24 + (3*t^7.31)/g2^2 - t^7.39/(g1^2*g2^6) + (2*g1^3*t^7.48)/g2 + g2^16*t^7.5 + (4*g1*t^7.55)/g2^5 + t^7.63/(g1*g2^9) + (g1^4*t^7.72)/g2^4 + g1*g2^13*t^7.75 + (2*g1^2*t^7.8)/g2^8 - (g2^9*t^7.82)/g1 + (6*t^7.87)/g2^12 + t^7.95/(g1^2*g2^16) + 2*g1^2*g2^10*t^7.99 + t^8.02/(g1^4*g2^20) + (g1^3*t^8.04)/g2^11 - 4*g2^6*t^8.06 + (2*g1*t^8.11)/g2^15 + (2*t^8.19)/(g1*g2^19) + 2*g1^3*g2^7*t^8.23 + 2*g2^24*t^8.26 - 3*g1*g2^3*t^8.31 + (g1^2*t^8.36)/g2^18 - (2*t^8.38)/(g1*g2) + t^8.43/g2^22 + t^8.46/(g1^3*g2^5) + g1^4*g2^4*t^8.47 + 3*g1*g2^21*t^8.5 + t^8.51/(g1^2*g2^26) + 2*g1^2*t^8.55 + (g1^3*t^8.6)/g2^21 - (6*t^8.62)/g2^4 + (g1*t^8.67)/g2^25 + 3*g1^2*g2^18*t^8.74 + t^8.75/(g1*g2^29) + (3*g1^3*t^8.79)/g2^3 + t^8.82/(g1^3*g2^33) + g2^14*t^8.82 - (2*g1*t^8.87)/g2^7 + (g2^10*t^8.89)/g1^2 - (3*t^8.94)/(g1*g2^11) + 2*g1^3*g2^15*t^8.98 - t^4.31/(g2^2*y) - (g2^4*t^6.38)/y - (g1*g2*t^6.62)/y - t^6.94/(g2^6*y) - (g1*t^7.18)/(g2^9*y) - t^7.25/(g1*g2^13*y) + (2*g1*g2^9*t^7.37)/y + (g2^5*t^7.45)/(g1*y) + (3*g2^2*t^7.69)/y + (3*g1*t^7.93)/(g2*y) + (2*t^8.01)/(g1*g2^5*y) + (g1^2*t^8.17)/(g2^4*y) + (3*t^8.25)/(g2^8*y) - (g2^10*t^8.44)/y + (2*g1*t^8.49)/(g2^11*y) + (2*t^8.56)/(g1*g2^15*y) + t^8.81/(g2^18*y) + (g1^2*g2^4*t^8.93)/y - (t^4.31*y)/g2^2 - g2^4*t^6.38*y - g1*g2*t^6.62*y - (t^6.94*y)/g2^6 - (g1*t^7.18*y)/g2^9 - (t^7.25*y)/(g1*g2^13) + 2*g1*g2^9*t^7.37*y + (g2^5*t^7.45*y)/g1 + 3*g2^2*t^7.69*y + (3*g1*t^7.93*y)/g2 + (2*t^8.01*y)/(g1*g2^5) + (g1^2*t^8.17*y)/g2^4 + (3*t^8.25*y)/g2^8 - g2^10*t^8.44*y + (2*g1*t^8.49*y)/g2^11 + (2*t^8.56*y)/(g1*g2^15) + (t^8.81*y)/g2^18 + g1^2*g2^4*t^8.93*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 |
|---|---|---|---|---|---|---|---|---|
| 55157 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_3M_5$ + $ M_6q_2\tilde{q}_2$ + $ M_1^2$ | 0.6976 | 0.8709 | 0.801 | [X:[], M:[1.0, 0.9895, 1.1134, 0.6702, 0.8866, 0.7836], q:[0.562, 0.438], qb:[0.4485, 0.7784], phi:[0.4433]] | t^2.01 + t^2.35 + 2*t^2.66 + t^2.97 + t^3. + t^3.68 + t^3.96 + 3*t^4.02 + t^4.33 + 2*t^4.36 + 2*t^4.67 + 2*t^4.7 + t^4.98 + 3*t^5.01 + 4*t^5.32 + t^5.35 + t^5.63 + t^5.66 + t^5.69 + t^5.94 + t^5.97 - 2*t^6. - t^4.33/y - t^4.33*y | detail | |
| 55194 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_3M_5$ + $ M_6q_2\tilde{q}_2$ + $ M_2^2$ | 0.699 | 0.874 | 0.7998 | [X:[], M:[0.9596, 1.0, 1.1201, 0.6801, 0.8799, 0.7598], q:[0.5802, 0.4601], qb:[0.4198, 0.78], phi:[0.44]] | t^2.04 + t^2.28 + 2*t^2.64 + t^2.88 + t^3. + t^3.6 + t^3.84 + 3*t^4.08 + 2*t^4.32 + t^4.44 + t^4.56 + 2*t^4.68 + t^4.8 + 3*t^4.92 + t^5.04 + t^5.16 + 4*t^5.28 + t^5.52 + 2*t^5.64 + t^5.76 + 2*t^5.88 - 2*t^6. - t^4.32/y - t^4.32*y | detail | |
| 50960 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_3M_5$ + $ M_6q_2\tilde{q}_2$ + $ M_7\tilde{q}_1\tilde{q}_2$ | 0.7165 | 0.904 | 0.7926 | [X:[], M:[0.9701, 0.9701, 1.1244, 0.6866, 0.8756, 0.7811, 0.7811], q:[0.5921, 0.4378], qb:[0.4378, 0.7811], phi:[0.4378]] | t^2.06 + 2*t^2.34 + 2*t^2.63 + 2*t^2.91 + 2*t^3.94 + 2*t^4.12 + 4*t^4.4 + 5*t^4.69 + t^4.87 + 6*t^4.97 + 7*t^5.25 + 2*t^5.54 + 3*t^5.82 - 3*t^6. - t^4.31/y - t^4.31*y | detail | |
| 55351 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_3M_5$ + $ M_6q_2\tilde{q}_2$ + $ \phi_1q_1^2$ | 0.6634 | 0.8391 | 0.7906 | [X:[], M:[0.7882, 0.8118, 1.2, 0.8, 0.8, 0.7882], q:[0.8, 0.4118], qb:[0.3882, 0.8], phi:[0.4]] | 2*t^2.36 + 3*t^2.4 + t^2.44 + t^3.53 + t^3.56 + t^3.67 + 3*t^4.73 + 6*t^4.76 + 9*t^4.8 + 3*t^4.84 + t^4.87 + 2*t^5.89 + 4*t^5.93 + 2*t^5.96 - 2*t^6. - t^4.2/y - t^4.2*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46691 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_3M_5$ | 0.6814 | 0.8416 | 0.8096 | [X:[], M:[0.9657, 0.9657, 1.1263, 0.6895, 0.8737], q:[0.5974, 0.4368], qb:[0.4368, 0.7816], phi:[0.4368]] | t^2.07 + 2*t^2.62 + 2*t^2.9 + 2*t^3.66 + 2*t^3.93 + 2*t^4.14 + 2*t^4.41 + 2*t^4.69 + t^4.9 + 2*t^4.97 + 3*t^5.24 + 2*t^5.52 + 2*t^5.72 + 3*t^5.79 - 3*t^6. - t^4.31/y - t^4.31*y | detail |