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 |
|---|---|---|---|---|---|---|---|---|---|
| 2322 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ + $ M_3X_1$ | 0.6676 | 0.842 | 0.7928 | [X:[1.5364], M:[0.8363, 1.2091, 0.4636, 0.7909, 0.8363, 0.8818, 0.7455], q:[0.3727, 0.7909], qb:[0.4182, 0.7455], phi:[0.4182]] | [X:[[7]], M:[[-4], [-1], [-7], [1], [-4], [-9], [6]], q:[[3], [1]], qb:[[-2], [6]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_4$, $ M_1$, $ M_5$, $ \phi_1^2$, $ M_6$, $ \phi_1q_1^2$, $ M_2$, $ \phi_1q_1\tilde{q}_1$, $ M_7^2$, $ M_4M_7$, $ \phi_1q_1\tilde{q}_2$, $ X_1$, $ M_4^2$, $ M_1M_7$, $ M_5M_7$, $ M_7\phi_1^2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_4$, $ M_4M_5$, $ M_6M_7$, $ M_4\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_4M_6$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_1M_6$, $ M_5M_6$, $ M_6\phi_1^2$, $ M_6^2$, $ M_7\phi_1q_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_2M_7$, $ M_4\phi_1q_1^2$, $ M_7\phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$ | $M_5\phi_1q_1^2$, $ \phi_1^3q_1^2$, $ M_4\phi_1q_1\tilde{q}_1$ | 1 | t^2.24 + t^2.37 + 3*t^2.51 + t^2.65 + t^3.49 + 2*t^3.63 + t^4.47 + 3*t^4.61 + 5*t^4.75 + 3*t^4.88 + 6*t^5.02 + 3*t^5.15 + t^5.29 + 2*t^5.73 + 2*t^5.86 + t^6. + 3*t^6.14 + t^6.27 + t^6.71 + 3*t^6.85 + 4*t^6.98 + 6*t^7.12 + 10*t^7.25 + 6*t^7.39 + 11*t^7.53 + 6*t^7.66 + 3*t^7.8 + t^7.94 + 2*t^7.96 + 2*t^8.1 + 3*t^8.24 - t^8.37 - 3*t^8.51 + t^8.65 + t^8.92 + t^8.95 - t^4.25/y - t^6.49/y - (3*t^6.76)/y - t^6.9/y + (2*t^7.61)/y + (6*t^7.75)/y + (4*t^7.88)/y + (5*t^8.02)/y + (3*t^8.15)/y + (3*t^8.86)/y - t^4.25*y - t^6.49*y - 3*t^6.76*y - t^6.9*y + 2*t^7.61*y + 6*t^7.75*y + 4*t^7.88*y + 5*t^8.02*y + 3*t^8.15*y + 3*t^8.86*y | g1^6*t^2.24 + g1*t^2.37 + (3*t^2.51)/g1^4 + t^2.65/g1^9 + g1^4*t^3.49 + (2*t^3.63)/g1 + g1^12*t^4.47 + 3*g1^7*t^4.61 + 5*g1^2*t^4.75 + (3*t^4.88)/g1^3 + (6*t^5.02)/g1^8 + (3*t^5.15)/g1^13 + t^5.29/g1^18 + 2*g1^10*t^5.73 + 2*g1^5*t^5.86 + t^6. + (3*t^6.14)/g1^5 + t^6.27/g1^10 + g1^18*t^6.71 + 3*g1^13*t^6.85 + 4*g1^8*t^6.98 + 6*g1^3*t^7.12 + (10*t^7.25)/g1^2 + (6*t^7.39)/g1^7 + (11*t^7.53)/g1^12 + (6*t^7.66)/g1^17 + (3*t^7.8)/g1^22 + t^7.94/g1^27 + 2*g1^16*t^7.96 + 2*g1^11*t^8.1 + 3*g1^6*t^8.24 - g1*t^8.37 - (3*t^8.51)/g1^4 + t^8.65/g1^9 + t^8.92/g1^19 + g1^24*t^8.95 - t^4.25/(g1^2*y) - (g1^4*t^6.49)/y - (3*t^6.76)/(g1^6*y) - t^6.9/(g1^11*y) + (2*g1^7*t^7.61)/y + (6*g1^2*t^7.75)/y + (4*t^7.88)/(g1^3*y) + (5*t^8.02)/(g1^8*y) + (3*t^8.15)/(g1^13*y) + (3*g1^5*t^8.86)/y - (t^4.25*y)/g1^2 - g1^4*t^6.49*y - (3*t^6.76*y)/g1^6 - (t^6.9*y)/g1^11 + 2*g1^7*t^7.61*y + 6*g1^2*t^7.75*y + (4*t^7.88*y)/g1^3 + (5*t^8.02*y)/g1^8 + (3*t^8.15*y)/g1^13 + 3*g1^5*t^8.86*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 |
|---|---|---|---|---|---|---|---|---|
| 4320 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ + $ \phi_1q_2^2$ + $ M_3X_1$ + $ M_8\phi_1q_1^2$ | 0.6821 | 0.8675 | 0.7862 | [X:[1.5536], M:[0.8265, 1.2066, 0.4464, 0.7934, 0.8265, 0.8596, 0.7602, 0.8265], q:[0.3801, 0.7934], qb:[0.4133, 0.7602], phi:[0.4133]] | t^2.28 + t^2.38 + 4*t^2.48 + t^2.58 + 2*t^3.62 + t^4.56 + 3*t^4.66 + 6*t^4.76 + 4*t^4.86 + 10*t^4.96 + 4*t^5.06 + t^5.16 + t^5.8 + t^5.9 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 1285 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.7683 | 0.9711 | 0.7912 | [X:[], M:[0.8775, 1.0, 0.7551, 1.0, 0.8775, 0.7551, 0.6837], q:[0.5612, 0.5612], qb:[0.4388, 0.6837], phi:[0.4388]] | t^2.05 + 2*t^2.27 + 3*t^2.63 + 2*t^3. + t^4.1 + 4*t^4.32 + 3*t^4.53 + 7*t^4.68 + 6*t^4.9 + 4*t^5.05 + 9*t^5.27 + t^5.42 + 2*t^5.63 - 3*t^6. - t^4.32/y - t^4.32*y | detail |