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 |
|---|---|---|---|---|---|---|---|---|---|
| 703 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_2^2$ | 0.6584 | 0.8119 | 0.8109 | [X:[], M:[0.9956, 1.0783, 1.1521, 0.8479, 0.774], q:[0.7696, 0.5391], qb:[0.4653, 0.3826], phi:[0.4609]] | [X:[], M:[[13], [-4], [5], [-5], [-14]], q:[[-1], [-2]], qb:[[-11], [6]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_4$, $ \phi_1^2$, $ M_1$, $ M_2$, $ M_3$, $ q_1\tilde{q}_1$, $ q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ M_5^2$, $ M_4M_5$, $ M_4^2$, $ M_5\phi_1^2$, $ M_1M_5$, $ M_4\phi_1^2$, $ M_1M_4$, $ \phi_1^4$, $ M_2M_5$, $ M_2M_4$, $ M_3M_5$, $ M_1^2$ | . | -1 | t^2.32 + t^2.54 + t^2.77 + t^2.99 + t^3.23 + t^3.46 + t^3.7 + 2*t^3.93 + t^4.15 + t^4.17 + t^4.4 + t^4.62 + t^4.64 + t^4.87 + 2*t^5.09 + 2*t^5.31 + t^5.53 + t^5.56 + t^5.78 + t^5.97 - t^6. + t^6.03 + 2*t^6.25 + t^6.44 + 2*t^6.47 + t^6.5 + 2*t^6.69 + 2*t^6.72 + t^6.91 + 3*t^6.94 + t^6.97 + 2*t^7.16 + t^7.19 + t^7.38 + 3*t^7.41 + 4*t^7.63 + 3*t^7.85 + 2*t^7.88 + t^8.07 + 3*t^8.1 + t^8.3 + 2*t^8.35 - t^8.54 + 3*t^8.57 - t^8.77 + 3*t^8.79 + t^8.82 + t^8.96 - 3*t^8.99 - t^4.38/y - t^6.7/y - t^7.37/y + t^7.4/y + t^7.87/y + t^8.06/y + t^8.09/y + (2*t^8.31)/y + t^8.53/y + t^8.56/y + t^8.75/y + (2*t^8.78)/y - t^4.38*y - t^6.7*y - t^7.37*y + t^7.4*y + t^7.87*y + t^8.06*y + t^8.09*y + 2*t^8.31*y + t^8.53*y + t^8.56*y + t^8.75*y + 2*t^8.78*y | t^2.32/g1^14 + t^2.54/g1^5 + g1^4*t^2.77 + g1^13*t^2.99 + t^3.23/g1^4 + g1^5*t^3.46 + t^3.7/g1^12 + (2*t^3.93)/g1^3 + g1^6*t^4.15 + t^4.17/g1^20 + t^4.4/g1^11 + t^4.62/g1^2 + t^4.64/g1^28 + t^4.87/g1^19 + (2*t^5.09)/g1^10 + (2*t^5.31)/g1 + g1^8*t^5.53 + t^5.56/g1^18 + t^5.78/g1^9 + g1^26*t^5.97 - t^6. + t^6.03/g1^26 + (2*t^6.25)/g1^17 + g1^18*t^6.44 + (2*t^6.47)/g1^8 + t^6.5/g1^34 + 2*g1*t^6.69 + (2*t^6.72)/g1^25 + g1^10*t^6.91 + (3*t^6.94)/g1^16 + t^6.97/g1^42 + (2*t^7.16)/g1^7 + t^7.19/g1^33 + g1^2*t^7.38 + (3*t^7.41)/g1^24 + (4*t^7.63)/g1^15 + (3*t^7.85)/g1^6 + (2*t^7.88)/g1^32 + g1^3*t^8.07 + (3*t^8.1)/g1^23 + g1^12*t^8.3 + (2*t^8.35)/g1^40 - t^8.54/g1^5 + (3*t^8.57)/g1^31 - g1^4*t^8.77 + (3*t^8.79)/g1^22 + t^8.82/g1^48 + g1^39*t^8.96 - 3*g1^13*t^8.99 - (g1^2*t^4.38)/y - t^6.7/(g1^12*y) - (g1^15*t^7.37)/y + t^7.4/(g1^11*y) + t^7.87/(g1^19*y) + (g1^16*t^8.06)/y + t^8.09/(g1^10*y) + (2*t^8.31)/(g1*y) + (g1^8*t^8.53)/y + t^8.56/(g1^18*y) + (g1^17*t^8.75)/y + (2*t^8.78)/(g1^9*y) - g1^2*t^4.38*y - (t^6.7*y)/g1^12 - g1^15*t^7.37*y + (t^7.4*y)/g1^11 + (t^7.87*y)/g1^19 + g1^16*t^8.06*y + (t^8.09*y)/g1^10 + (2*t^8.31*y)/g1 + g1^8*t^8.53*y + (t^8.56*y)/g1^18 + g1^17*t^8.75*y + (2*t^8.78*y)/g1^9 |
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 |
|---|---|---|---|---|---|---|---|---|
| 1146 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_2M_6$ | 0.6657 | 0.8235 | 0.8084 | [X:[], M:[0.9836, 1.082, 1.1475, 0.8525, 0.7869, 0.918], q:[0.7705, 0.541], qb:[0.4754, 0.3771], phi:[0.459]] | t^2.36 + t^2.56 + 2*t^2.75 + t^2.95 + t^3.44 + t^3.74 + 2*t^3.93 + t^4.13 + t^4.23 + t^4.43 + t^4.62 + t^4.72 + t^4.92 + 3*t^5.11 + 3*t^5.31 + 3*t^5.51 + t^5.7 + t^5.9 - 2*t^6. - t^4.38/y - t^4.38*y | detail | |
| 1143 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_4M_5$ | 0.5884 | 0.7232 | 0.8135 | [X:[], M:[0.7368, 1.1579, 1.0526, 0.9474, 1.0526], q:[0.7895, 0.5789], qb:[0.6842, 0.2632], phi:[0.4211]] | t^2.21 + t^2.53 + t^2.84 + 2*t^3.16 + t^3.47 + t^3.79 + 2*t^4.11 + 2*t^4.42 + t^4.74 + 2*t^5.05 + 4*t^5.37 + 2*t^5.68 - t^4.26/y - t^4.26*y | detail | {a: 64569/109744, c: 39685/54872, M1: 14/19, M2: 22/19, M3: 20/19, M4: 18/19, M5: 20/19, q1: 15/19, q2: 11/19, qb1: 13/19, qb2: 5/19, phi1: 8/19} |
| 1142 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_5^2$ | 0.6115 | 0.7499 | 0.8155 | [X:[], M:[0.7857, 1.1429, 1.0714, 0.9286, 1.0], q:[0.7857, 0.5714], qb:[0.6429, 0.2857], phi:[0.4286]] | t^2.36 + t^2.57 + t^2.79 + t^3. + t^3.21 + t^3.43 + t^3.86 + 2*t^4.07 + t^4.29 + 2*t^4.71 + t^4.93 + 2*t^5.14 + 2*t^5.36 + 3*t^5.57 + t^5.79 - t^4.29/y - t^4.29*y | detail | {a: 7671/12544, c: 9407/12544, M1: 11/14, M2: 8/7, M3: 15/14, M4: 13/14, M5: 1, q1: 11/14, q2: 4/7, qb1: 9/14, qb2: 2/7, phi1: 3/7} |
| 1148 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_4$ + $ M_5\phi_1\tilde{q}_2^2$ + $ M_6q_1\tilde{q}_1$ | 0.6771 | 0.8451 | 0.8012 | [X:[], M:[0.9789, 1.0834, 1.1457, 0.8543, 0.792, 0.7497], q:[0.7709, 0.5417], qb:[0.4794, 0.3749], phi:[0.4583]] | t^2.25 + t^2.38 + t^2.56 + t^2.75 + t^2.94 + t^3.25 + t^3.44 + 2*t^3.94 + t^4.12 + t^4.25 + t^4.44 + t^4.5 + 2*t^4.63 + t^4.75 + t^4.81 + t^4.94 + t^5. + 2*t^5.13 + t^5.19 + 2*t^5.31 + 2*t^5.5 + t^5.63 + t^5.69 + t^5.81 + t^5.87 - t^6. - t^4.37/y - t^4.37*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 |
|---|---|---|---|---|---|---|---|---|---|
| 421 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_4$ | 0.6412 | 0.7805 | 0.8216 | [X:[], M:[0.9659, 1.0874, 1.1407, 0.8593], q:[0.7719, 0.5437], qb:[0.4904, 0.3689], phi:[0.4563]] | t^2.58 + t^2.74 + t^2.9 + t^3.26 + t^3.42 + t^3.58 + t^3.79 + 2*t^3.95 + t^4.11 + t^4.31 + t^4.47 + t^4.63 + t^5.16 + t^5.32 + t^5.48 + t^5.8 - t^6. - t^4.37/y - t^4.37*y | detail |