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 |
|---|---|---|---|---|---|---|---|---|---|
| 3054 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_3M_6$ + $ M_7q_1\tilde{q}_1$ + $ M_4q_1\tilde{q}_2$ | 0.6436 | 0.8457 | 0.761 | [X:[], M:[1.0, 1.0122, 0.9756, 0.7408, 0.7531, 1.0244, 0.7286], q:[0.7531, 0.2469], qb:[0.5183, 0.5061], phi:[0.4939]] | [X:[], M:[[0], [4], [-8], [-3], [1], [8], [-7]], q:[[1], [-1]], qb:[[6], [2]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_4$, $ M_5$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ M_1$, $ M_2$, $ M_6$, $ q_1\tilde{q}_2$, $ M_7^2$, $ M_4M_7$, $ M_4^2$, $ M_5M_7$, $ M_7q_2\tilde{q}_2$, $ M_4M_5$, $ \phi_1q_1q_2$, $ M_7q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_5^2$, $ M_4q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ M_5q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ M_7\phi_1q_2^2$, $ M_1M_7$, $ M_4\phi_1q_2^2$, $ M_1M_4$, $ M_2M_7$, $ M_5\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_2M_4$, $ M_1M_5$, $ M_6M_7$, $ \phi_1q_2^3\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_2M_5$, $ M_4M_6$, $ \phi_1q_1\tilde{q}_1$, $ M_2q_2\tilde{q}_2$, $ M_5M_6$, $ M_2q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_2$, $ M_6q_2\tilde{q}_1$, $ \phi_1^2q_2^4$ | . | -1 | t^2.19 + t^2.22 + 2*t^2.26 + t^2.3 + t^2.96 + t^3. + t^3.04 + t^3.07 + t^3.78 + t^4.37 + t^4.41 + 3*t^4.45 + 3*t^4.48 + 5*t^4.52 + 3*t^4.55 + 2*t^4.59 + t^5.15 + t^5.19 + 3*t^5.22 + 5*t^5.26 + 4*t^5.3 + 3*t^5.33 + t^5.37 + t^5.93 - t^6. + 2*t^6.04 + 2*t^6.07 + t^6.11 + t^6.15 + t^6.56 + t^6.59 + 3*t^6.63 + 3*t^6.67 + 5*t^6.7 + 6*t^6.74 + 8*t^6.78 + 6*t^6.81 + 5*t^6.85 + 2*t^6.89 + t^7.34 + t^7.37 + 3*t^7.41 + 4*t^7.45 + 6*t^7.48 + 8*t^7.52 + 10*t^7.55 + 8*t^7.59 + 4*t^7.63 + 2*t^7.66 + t^8.11 - 2*t^8.19 - 2*t^8.22 - 4*t^8.26 + t^8.3 + 4*t^8.33 + 5*t^8.37 + 3*t^8.41 + t^8.44 + t^8.74 + t^8.78 + 3*t^8.82 + 3*t^8.85 + 7*t^8.89 + 5*t^8.93 + 5*t^8.96 - t^4.48/y - t^6.67/y - t^6.7/y - t^6.74/y + t^7.41/y + (2*t^7.45)/y + (3*t^7.48)/y + (2*t^7.52)/y + (2*t^7.55)/y + t^8.15/y + (2*t^8.19)/y + (5*t^8.22)/y + (6*t^8.26)/y + (5*t^8.3)/y + (3*t^8.33)/y + t^8.37/y - t^8.85/y - t^8.89/y - (2*t^8.93)/y + t^8.96/y - t^4.48*y - t^6.67*y - t^6.7*y - t^6.74*y + t^7.41*y + 2*t^7.45*y + 3*t^7.48*y + 2*t^7.52*y + 2*t^7.55*y + t^8.15*y + 2*t^8.19*y + 5*t^8.22*y + 6*t^8.26*y + 5*t^8.3*y + 3*t^8.33*y + t^8.37*y - t^8.85*y - t^8.89*y - 2*t^8.93*y + t^8.96*y | t^2.19/g1^7 + t^2.22/g1^3 + 2*g1*t^2.26 + g1^5*t^2.3 + t^2.96/g1^4 + t^3. + g1^4*t^3.04 + g1^8*t^3.07 + g1^3*t^3.78 + t^4.37/g1^14 + t^4.41/g1^10 + (3*t^4.45)/g1^6 + (3*t^4.48)/g1^2 + 5*g1^2*t^4.52 + 3*g1^6*t^4.55 + 2*g1^10*t^4.59 + t^5.15/g1^11 + t^5.19/g1^7 + (3*t^5.22)/g1^3 + 5*g1*t^5.26 + 4*g1^5*t^5.3 + 3*g1^9*t^5.33 + g1^13*t^5.37 + t^5.93/g1^8 - t^6. + 2*g1^4*t^6.04 + 2*g1^8*t^6.07 + g1^12*t^6.11 + g1^16*t^6.15 + t^6.56/g1^21 + t^6.59/g1^17 + (3*t^6.63)/g1^13 + (3*t^6.67)/g1^9 + (5*t^6.7)/g1^5 + (6*t^6.74)/g1 + 8*g1^3*t^6.78 + 6*g1^7*t^6.81 + 5*g1^11*t^6.85 + 2*g1^15*t^6.89 + t^7.34/g1^18 + t^7.37/g1^14 + (3*t^7.41)/g1^10 + (4*t^7.45)/g1^6 + (6*t^7.48)/g1^2 + 8*g1^2*t^7.52 + 10*g1^6*t^7.55 + 8*g1^10*t^7.59 + 4*g1^14*t^7.63 + 2*g1^18*t^7.66 + t^8.11/g1^15 - (2*t^8.19)/g1^7 - (2*t^8.22)/g1^3 - 4*g1*t^8.26 + g1^5*t^8.3 + 4*g1^9*t^8.33 + 5*g1^13*t^8.37 + 3*g1^17*t^8.41 + g1^21*t^8.44 + t^8.74/g1^28 + t^8.78/g1^24 + (3*t^8.82)/g1^20 + (3*t^8.85)/g1^16 + (7*t^8.89)/g1^12 + (5*t^8.93)/g1^8 + (5*t^8.96)/g1^4 - t^4.48/(g1^2*y) - t^6.67/(g1^9*y) - t^6.7/(g1^5*y) - t^6.74/(g1*y) + t^7.41/(g1^10*y) + (2*t^7.45)/(g1^6*y) + (3*t^7.48)/(g1^2*y) + (2*g1^2*t^7.52)/y + (2*g1^6*t^7.55)/y + t^8.15/(g1^11*y) + (2*t^8.19)/(g1^7*y) + (5*t^8.22)/(g1^3*y) + (6*g1*t^8.26)/y + (5*g1^5*t^8.3)/y + (3*g1^9*t^8.33)/y + (g1^13*t^8.37)/y - t^8.85/(g1^16*y) - t^8.89/(g1^12*y) - (2*t^8.93)/(g1^8*y) + t^8.96/(g1^4*y) - (t^4.48*y)/g1^2 - (t^6.67*y)/g1^9 - (t^6.7*y)/g1^5 - (t^6.74*y)/g1 + (t^7.41*y)/g1^10 + (2*t^7.45*y)/g1^6 + (3*t^7.48*y)/g1^2 + 2*g1^2*t^7.52*y + 2*g1^6*t^7.55*y + (t^8.15*y)/g1^11 + (2*t^8.19*y)/g1^7 + (5*t^8.22*y)/g1^3 + 6*g1*t^8.26*y + 5*g1^5*t^8.3*y + 3*g1^9*t^8.33*y + g1^13*t^8.37*y - (t^8.85*y)/g1^16 - (t^8.89*y)/g1^12 - (2*t^8.93*y)/g1^8 + (t^8.96*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4914 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_3M_6$ + $ M_7q_1\tilde{q}_1$ + $ M_4q_1\tilde{q}_2$ + $ M_4M_8$ | 0.6242 | 0.8107 | 0.7699 | [X:[], M:[1.0, 1.0078, 0.9844, 0.7441, 0.752, 1.0156, 0.7363, 1.2559], q:[0.752, 0.248], qb:[0.5117, 0.5039], phi:[0.4961]] | t^2.21 + 2*t^2.26 + t^2.28 + t^2.98 + t^3. + t^3.02 + t^3.05 + 2*t^3.77 + t^4.42 + 2*t^4.46 + t^4.49 + 4*t^4.51 + 3*t^4.54 + 2*t^4.56 + t^5.19 + 2*t^5.23 + 4*t^5.26 + 3*t^5.28 + 3*t^5.3 + t^5.33 + t^5.95 + t^5.98 - 2*t^6. - t^4.49/y - t^4.49*y | detail | |
| 4915 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_3M_6$ + $ M_7q_1\tilde{q}_1$ + $ M_4q_1\tilde{q}_2$ + $ M_8\phi_1q_2^2$ | 0.6431 | 0.8465 | 0.7597 | [X:[], M:[1.0, 0.998, 1.004, 0.7515, 0.7495, 0.996, 0.7535, 0.998], q:[0.7495, 0.2505], qb:[0.497, 0.499], phi:[0.501]] | t^2.24 + 3*t^2.25 + t^2.26 + 3*t^2.99 + t^3. + t^3.75 + 5*t^4.49 + 8*t^4.5 + 4*t^4.51 + t^4.52 + t^5.23 + 10*t^5.24 + 7*t^5.25 + 3*t^5.98 + 6*t^5.99 - 2*t^6. - t^4.5/y - t^4.5*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2009 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_3M_6$ + $ M_7q_1\tilde{q}_1$ | 0.6436 | 0.8459 | 0.7608 | [X:[], M:[1.0, 1.0114, 0.9772, 0.7396, 0.7547, 1.0228, 0.7282], q:[0.7529, 0.2471], qb:[0.519, 0.5038], phi:[0.4943]] | t^2.18 + t^2.22 + t^2.25 + t^2.26 + t^2.3 + t^2.97 + t^3. + t^3.03 + t^3.07 + t^3.77 + t^4.37 + t^4.4 + 2*t^4.44 + t^4.45 + t^4.47 + 2*t^4.48 + 2*t^4.51 + 2*t^4.52 + t^4.53 + 2*t^4.55 + t^4.56 + 2*t^4.6 + t^5.15 + t^5.18 + 3*t^5.22 + 3*t^5.25 + 2*t^5.26 + 2*t^5.29 + 2*t^5.3 + t^5.32 + 2*t^5.33 + t^5.37 + t^5.93 + t^5.99 - 2*t^6. - t^4.48/y - t^4.48*y | detail |