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 |
|---|---|---|---|---|---|---|---|---|---|
| 2794 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ q_1q_2\tilde{q}_1^2$ + $ M_5\phi_1\tilde{q}_2^2$ | 0.6191 | 0.8066 | 0.7675 | [X:[], M:[0.9622, 1.1133, 0.9622, 0.8867, 0.6699], q:[0.7406, 0.2972], qb:[0.4811, 0.4056], phi:[0.5189]] | [X:[], M:[[4], [-12], [4], [12], [-18]], q:[[1], [-5]], qb:[[2], [10]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ q_2\tilde{q}_2$, $ q_2\tilde{q}_1$, $ M_4$, $ M_1$, $ M_3$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ M_5^2$, $ M_5q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_5q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_4M_5$, $ \phi_1q_1q_2$, $ q_2^2\tilde{q}_1^2$, $ M_4q_2\tilde{q}_2$, $ M_1M_5$, $ M_3M_5$, $ M_4q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ M_4^2$, $ M_5\phi_1q_2^2$, $ M_5q_1\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_1M_4$, $ M_3M_4$, $ q_1q_2\tilde{q}_2^2$, $ M_5q_1\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_1$, $ M_5\phi_1q_2\tilde{q}_2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ q_1q_2\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2\tilde{q}_2^2$, $ M_5\phi_1q_2\tilde{q}_1$ | $M_4\phi_1q_2^2$, $ \phi_1q_2^2\tilde{q}_1\tilde{q}_2$ | 0 | t^2.01 + t^2.11 + t^2.33 + t^2.66 + 2*t^2.89 + t^3.34 + t^3.44 + 2*t^3.67 + t^3.89 + t^4.02 + t^4.12 + 2*t^4.22 + t^4.34 + 2*t^4.44 + 2*t^4.67 + t^4.77 + 2*t^4.9 + 3*t^5. + 2*t^5.22 + t^5.32 + t^5.35 + t^5.45 + 3*t^5.55 + 2*t^5.67 + 4*t^5.77 + t^5.9 + t^6.03 + t^6.1 + t^6.13 + 2*t^6.23 + 4*t^6.33 + t^6.35 + 2*t^6.45 + 4*t^6.55 + 3*t^6.68 + 2*t^6.78 + 2*t^6.88 + 2*t^6.91 + 3*t^7. + 6*t^7.1 + 2*t^7.23 + 4*t^7.33 + t^7.36 + t^7.43 + t^7.46 + 3*t^7.56 + 4*t^7.66 + 2*t^7.68 + 3*t^7.78 + 5*t^7.88 + t^7.91 + t^7.98 + t^8.04 + 2*t^8.11 + t^8.14 + 3*t^8.21 + 2*t^8.24 + t^8.33 + t^8.36 + 6*t^8.43 + 2*t^8.46 + 2*t^8.56 + 4*t^8.66 + 3*t^8.69 + t^8.76 + 2*t^8.79 - 2*t^8.89 + 2*t^8.92 + 4*t^8.99 - t^4.56/y - t^6.57/y + t^7.12/y + t^7.34/y + (2*t^7.67)/y + t^7.77/y + (2*t^7.9)/y + (3*t^8.)/y + (2*t^8.22)/y + t^8.35/y + (2*t^8.45)/y + (4*t^8.55)/y - t^8.58/y + (3*t^8.67)/y + (4*t^8.77)/y + t^8.9/y - t^4.56*y - t^6.57*y + t^7.12*y + t^7.34*y + 2*t^7.67*y + t^7.77*y + 2*t^7.9*y + 3*t^8.*y + 2*t^8.22*y + t^8.35*y + 2*t^8.45*y + 4*t^8.55*y - t^8.58*y + 3*t^8.67*y + 4*t^8.77*y + t^8.9*y | t^2.01/g1^18 + g1^5*t^2.11 + t^2.33/g1^3 + g1^12*t^2.66 + 2*g1^4*t^2.89 + t^3.34/g1^12 + g1^11*t^3.44 + 2*g1^3*t^3.67 + t^3.89/g1^5 + t^4.02/g1^36 + t^4.12/g1^13 + 2*g1^10*t^4.22 + t^4.34/g1^21 + 2*g1^2*t^4.44 + (2*t^4.67)/g1^6 + g1^17*t^4.77 + (2*t^4.9)/g1^14 + 3*g1^9*t^5. + 2*g1*t^5.22 + g1^24*t^5.32 + t^5.35/g1^30 + t^5.45/g1^7 + 3*g1^16*t^5.55 + (2*t^5.67)/g1^15 + 4*g1^8*t^5.77 + t^5.9/g1^23 + t^6.03/g1^54 + g1^23*t^6.1 + t^6.13/g1^31 + (2*t^6.23)/g1^8 + 4*g1^15*t^6.33 + t^6.35/g1^39 + (2*t^6.45)/g1^16 + 4*g1^7*t^6.55 + (3*t^6.68)/g1^24 + (2*t^6.78)/g1 + 2*g1^22*t^6.88 + (2*t^6.91)/g1^32 + (3*t^7.)/g1^9 + 6*g1^14*t^7.1 + (2*t^7.23)/g1^17 + 4*g1^6*t^7.33 + t^7.36/g1^48 + g1^29*t^7.43 + t^7.46/g1^25 + (3*t^7.56)/g1^2 + 4*g1^21*t^7.66 + (2*t^7.68)/g1^33 + (3*t^7.78)/g1^10 + 5*g1^13*t^7.88 + t^7.91/g1^41 + g1^36*t^7.98 + t^8.04/g1^72 + 2*g1^5*t^8.11 + t^8.14/g1^49 + 3*g1^28*t^8.21 + (2*t^8.24)/g1^26 + t^8.33/g1^3 + t^8.36/g1^57 + 6*g1^20*t^8.43 + (2*t^8.46)/g1^34 + (2*t^8.56)/g1^11 + 4*g1^12*t^8.66 + (3*t^8.69)/g1^42 + g1^35*t^8.76 + (2*t^8.79)/g1^19 - 2*g1^4*t^8.89 + (2*t^8.92)/g1^50 + 4*g1^27*t^8.99 - t^4.56/(g1^2*y) - t^6.57/(g1^20*y) + t^7.12/(g1^13*y) + t^7.34/(g1^21*y) + (2*t^7.67)/(g1^6*y) + (g1^17*t^7.77)/y + (2*t^7.9)/(g1^14*y) + (3*g1^9*t^8.)/y + (2*g1*t^8.22)/y + t^8.35/(g1^30*y) + (2*t^8.45)/(g1^7*y) + (4*g1^16*t^8.55)/y - t^8.58/(g1^38*y) + (3*t^8.67)/(g1^15*y) + (4*g1^8*t^8.77)/y + t^8.9/(g1^23*y) - (t^4.56*y)/g1^2 - (t^6.57*y)/g1^20 + (t^7.12*y)/g1^13 + (t^7.34*y)/g1^21 + (2*t^7.67*y)/g1^6 + g1^17*t^7.77*y + (2*t^7.9*y)/g1^14 + 3*g1^9*t^8.*y + 2*g1*t^8.22*y + (t^8.35*y)/g1^30 + (2*t^8.45*y)/g1^7 + 4*g1^16*t^8.55*y - (t^8.58*y)/g1^38 + (3*t^8.67*y)/g1^15 + 4*g1^8*t^8.77*y + (t^8.9*y)/g1^23 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3314 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ q_1q_2\tilde{q}_1^2$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_2\tilde{q}_1$ | 0.6186 | 0.8061 | 0.7674 | [X:[], M:[0.9565, 1.1304, 0.9565, 0.8696, 0.6957], q:[0.7391, 0.3043], qb:[0.4783, 0.3913], phi:[0.5217]] | 2*t^2.09 + t^2.35 + t^2.61 + 2*t^2.87 + 2*t^3.39 + 2*t^3.65 + t^3.91 + 4*t^4.17 + 3*t^4.43 + 3*t^4.7 + 5*t^4.96 + 3*t^5.22 + 5*t^5.48 + 6*t^5.74 + 2*t^6. - t^4.57/y - t^4.57*y | detail | {a: 120429/194672, c: 78465/97336, M1: 22/23, M2: 26/23, M3: 22/23, M4: 20/23, M5: 16/23, q1: 17/23, q2: 7/23, qb1: 11/23, qb2: 9/23, phi1: 12/23} |
| 3315 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ q_1q_2\tilde{q}_1^2$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_2^2$ | 0.6303 | 0.8264 | 0.7627 | [X:[], M:[0.954, 1.138, 0.954, 0.862, 0.707, 0.862], q:[0.7385, 0.3075], qb:[0.477, 0.385], phi:[0.523]] | t^2.08 + t^2.12 + t^2.35 + 2*t^2.59 + 2*t^2.86 + t^3.37 + 2*t^3.65 + t^3.92 + 2*t^4.16 + t^4.2 + t^4.24 + 2*t^4.43 + t^4.47 + 2*t^4.66 + 3*t^4.71 + 4*t^4.94 + 2*t^4.98 + 3*t^5.17 + 2*t^5.22 + 5*t^5.45 + 4*t^5.72 + t^5.77 + 2*t^5.96 - t^6. - t^4.57/y - t^4.57*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1784 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1^2$ + $ M_2M_4$ + $ q_1q_2\tilde{q}_1^2$ | 0.5983 | 0.7653 | 0.7818 | [X:[], M:[0.9618, 1.1147, 0.9618, 0.8853], q:[0.7404, 0.2978], qb:[0.4809, 0.4044], phi:[0.5191]] | t^2.11 + t^2.34 + t^2.66 + 2*t^2.89 + t^3.34 + t^3.43 + 2*t^3.66 + t^3.89 + t^3.98 + 2*t^4.21 + 2*t^4.44 + t^4.67 + t^4.76 + 3*t^4.99 + 2*t^5.22 + t^5.31 + 3*t^5.54 + 4*t^5.77 - t^4.56/y - t^4.56*y | detail |