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 |
|---|---|---|---|---|---|---|---|---|---|
| 1997 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ M_4q_2\tilde{q}_1$ + $ M_3M_5$ + $ M_4^2$ + $ M_6q_2\tilde{q}_2$ | 0.5801 | 0.7306 | 0.794 | [X:[1.4597], M:[0.9081, 0.5403, 1.0919, 1.0, 0.9081, 0.7242], q:[0.8419, 0.75], qb:[0.25, 0.5258], phi:[0.4081]] | [X:[[5]], M:[[-1], [-5], [1], [0], [-1], [-3]], q:[[1], [0]], qb:[[0], [3]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ M_1$, $ M_5$, $ M_4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_2$, $ M_6^2$, $ X_1$, $ M_6\tilde{q}_1\tilde{q}_2$, $ M_6\phi_1^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ q_1q_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_1M_6$, $ M_5M_6$, $ \phi_1^4$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_4M_6$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_4\phi_1^2$, $ M_1M_4$, $ M_4M_5$, $ M_6\phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2\tilde{q}_2^2$ | $\phi_1^3\tilde{q}_1\tilde{q}_2$ | -1 | t^2.17 + t^2.33 + t^2.45 + 2*t^2.72 + t^3. + t^3.55 + t^4.1 + t^4.35 + t^4.38 + t^4.5 + t^4.62 + t^4.65 + 2*t^4.78 + 3*t^4.9 + 2*t^5.05 + 2*t^5.17 + t^5.33 + 3*t^5.45 + 2*t^5.72 + t^5.88 - t^6. + t^6.28 - t^6.4 + t^6.43 + t^6.52 + t^6.55 + t^6.71 + t^6.79 + 2*t^6.83 + t^6.95 + t^6.98 + 3*t^7.07 + 3*t^7.1 + 2*t^7.22 + 3*t^7.35 + 2*t^7.38 + 2*t^7.5 + 4*t^7.62 + t^7.65 + 2*t^7.78 + 3*t^7.9 + t^8.17 + 2*t^8.21 - 2*t^8.33 + t^8.45 + t^8.48 - t^8.57 + t^8.69 - 4*t^8.72 + 2*t^8.76 + t^8.88 + t^8.97 - t^4.22/y - t^6.4/y - t^6.67/y - t^6.95/y + (2*t^7.5)/y + t^7.62/y + (2*t^7.78)/y + (2*t^7.9)/y + (3*t^8.05)/y + (3*t^8.17)/y + t^8.33/y + (2*t^8.45)/y - t^8.57/y + (3*t^8.72)/y - t^8.85/y + t^8.88/y - t^4.22*y - t^6.4*y - t^6.67*y - t^6.95*y + 2*t^7.5*y + t^7.62*y + 2*t^7.78*y + 2*t^7.9*y + 3*t^8.05*y + 3*t^8.17*y + t^8.33*y + 2*t^8.45*y - t^8.57*y + 3*t^8.72*y - t^8.85*y + t^8.88*y | t^2.17/g1^3 + g1^3*t^2.33 + t^2.45/g1^2 + (2*t^2.72)/g1 + t^3. + g1^2*t^3.55 + g1^4*t^4.1 + t^4.35/g1^6 + g1^5*t^4.38 + t^4.5 + t^4.62/g1^5 + g1^6*t^4.65 + 2*g1*t^4.78 + (3*t^4.9)/g1^4 + 2*g1^2*t^5.05 + (2*t^5.17)/g1^3 + g1^3*t^5.33 + (3*t^5.45)/g1^2 + (2*t^5.72)/g1 + g1^5*t^5.88 - t^6. + g1*t^6.28 - t^6.4/g1^4 + g1^7*t^6.43 + t^6.52/g1^9 + g1^2*t^6.55 + g1^8*t^6.71 + t^6.79/g1^8 + 2*g1^3*t^6.83 + t^6.95/g1^2 + g1^9*t^6.98 + (3*t^7.07)/g1^7 + 3*g1^4*t^7.1 + (2*t^7.22)/g1 + (3*t^7.35)/g1^6 + 2*g1^5*t^7.38 + 2*t^7.5 + (4*t^7.62)/g1^5 + g1^6*t^7.65 + 2*g1*t^7.78 + (3*t^7.9)/g1^4 + t^8.17/g1^3 + 2*g1^8*t^8.21 - 2*g1^3*t^8.33 + t^8.45/g1^2 + g1^9*t^8.48 - t^8.57/g1^7 + t^8.69/g1^12 - (4*t^8.72)/g1 + 2*g1^10*t^8.76 + g1^5*t^8.88 + t^8.97/g1^11 - t^4.22/(g1*y) - t^6.4/(g1^4*y) - t^6.67/(g1^3*y) - t^6.95/(g1^2*y) + (2*t^7.5)/y + t^7.62/(g1^5*y) + (2*g1*t^7.78)/y + (2*t^7.9)/(g1^4*y) + (3*g1^2*t^8.05)/y + (3*t^8.17)/(g1^3*y) + (g1^3*t^8.33)/y + (2*t^8.45)/(g1^2*y) - t^8.57/(g1^7*y) + (3*t^8.72)/(g1*y) - t^8.85/(g1^6*y) + (g1^5*t^8.88)/y - (t^4.22*y)/g1 - (t^6.4*y)/g1^4 - (t^6.67*y)/g1^3 - (t^6.95*y)/g1^2 + 2*t^7.5*y + (t^7.62*y)/g1^5 + 2*g1*t^7.78*y + (2*t^7.9*y)/g1^4 + 3*g1^2*t^8.05*y + (3*t^8.17*y)/g1^3 + g1^3*t^8.33*y + (2*t^8.45*y)/g1^2 - (t^8.57*y)/g1^7 + (3*t^8.72*y)/g1 - (t^8.85*y)/g1^6 + g1^5*t^8.88*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 |
|---|---|---|---|---|---|---|---|---|
| 3047 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ M_4q_2\tilde{q}_1$ + $ M_3M_5$ + $ M_4^2$ + $ M_6q_2\tilde{q}_2$ + $ M_7\phi_1^2$ | 0.565 | 0.7052 | 0.8012 | [X:[1.429], M:[0.9142, 0.571, 1.0858, 1.0, 0.9142, 0.7426, 1.1716], q:[0.8358, 0.75], qb:[0.25, 0.5074], phi:[0.4142]] | t^2.23 + t^2.27 + 2*t^2.74 + t^3. + 2*t^3.51 + t^4.03 + t^4.29 + t^4.46 + t^4.5 + t^4.54 + t^4.76 + 2*t^4.97 + 2*t^5.01 + t^5.27 + 2*t^5.49 + 3*t^5.74 + 2*t^5.79 - 2*t^6. - t^4.24/y - t^4.24*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 |
|---|---|---|---|---|---|---|---|---|---|
| 766 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ M_4q_2\tilde{q}_1$ + $ M_3M_5$ + $ M_4^2$ | 0.5604 | 0.6948 | 0.8065 | [X:[1.4355], M:[0.9129, 0.5645, 1.0871, 1.0, 0.9129], q:[0.8371, 0.75], qb:[0.25, 0.5113], phi:[0.4129]] | t^2.28 + t^2.48 + 2*t^2.74 + t^3. + t^3.52 + t^3.78 + t^4.05 + t^4.31 + t^4.57 + 2*t^4.76 + t^4.95 + 2*t^5.02 + t^5.22 + t^5.28 + 3*t^5.48 + t^5.74 + t^5.81 - t^6. - t^4.24/y - t^4.24*y | detail |