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 |
|---|---|---|---|---|---|---|---|---|---|
| 45267 | SO5adj1nf2 | $M_1q_1q_2$ + $ M_2q_1^2$ + $ M_3\phi_1^2q_1$ + $ M_2M_3$ + $ M_3M_4$ | 1.776 | 1.8745 | 0.9475 | [X:[], M:[1.0893, 1.1508, 0.8492, 1.1508], q:[0.4246, 0.4861], qb:[], phi:[0.3631]] | [X:[], M:[[-9], [-4], [4], [-4]], q:[[2], [7]], qb:[], phi:[[-3]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^2$, $ q_2^2$, $ M_1$, $ M_2$, $ M_4$, $ \phi_1^2q_2$, $ \phi_1q_1q_2$, $ \phi_1^4$, $ \phi_1^2q_1^2$, $ \phi_1^2q_1q_2$, $ \phi_1^2q_2^2$, $ M_1\phi_1^2$, $ M_2\phi_1^2$, $ M_4\phi_1^2$, $ q_2^4$ | $2\phi_1^3q_1q_2$ | 0 | t^2.18 + t^2.92 + t^3.27 + 2*t^3.45 + t^3.64 + t^3.82 + 2*t^4.36 + t^4.73 + t^4.91 + 2*t^5.1 + t^5.45 + 2*t^5.63 + t^5.83 + 2*t^6.37 + 3*t^6.54 + t^6.55 + t^6.72 + t^6.74 + 3*t^6.9 + 3*t^7.09 + 5*t^7.27 + t^7.46 + 2*t^7.63 + t^7.64 + 4*t^7.81 + t^7.83 + t^7.99 + 2*t^8.01 + 3*t^8.18 + 2*t^8.36 + 4*t^8.55 + 4*t^8.71 + t^8.73 + t^8.75 + t^8.9 - t^4.09/y - t^5.36/y - t^5.55/y - (2*t^6.27)/y - t^7.01/y - t^7.36/y - (3*t^7.54)/y - (2*t^7.73)/y + t^8.1/y - t^8.28/y - (2*t^8.45)/y - t^8.46/y + (2*t^8.63)/y - t^8.82/y - t^4.09*y - t^5.36*y - t^5.55*y - 2*t^6.27*y - t^7.01*y - t^7.36*y - 3*t^7.54*y - 2*t^7.73*y + t^8.1*y - t^8.28*y - 2*t^8.45*y - t^8.46*y + 2*t^8.63*y - t^8.82*y | t^2.18/g1^6 + g1^14*t^2.92 + t^3.27/g1^9 + (2*t^3.45)/g1^4 + g1*t^3.64 + g1^6*t^3.82 + (2*t^4.36)/g1^12 + t^4.73/g1^2 + g1^3*t^4.91 + 2*g1^8*t^5.1 + t^5.45/g1^15 + (2*t^5.63)/g1^10 + g1^28*t^5.83 + 2*g1^10*t^6.37 + (3*t^6.54)/g1^18 + g1^15*t^6.55 + t^6.72/g1^13 + g1^20*t^6.74 + (3*t^6.9)/g1^8 + (3*t^7.09)/g1^3 + 5*g1^2*t^7.27 + g1^7*t^7.46 + (2*t^7.63)/g1^21 + g1^12*t^7.64 + (4*t^7.81)/g1^16 + g1^17*t^7.83 + t^7.99/g1^11 + 2*g1^22*t^8.01 + (3*t^8.18)/g1^6 + (2*t^8.36)/g1 + 4*g1^4*t^8.55 + (4*t^8.71)/g1^24 + g1^9*t^8.73 + g1^42*t^8.75 + t^8.9/g1^19 - t^4.09/(g1^3*y) - t^5.36/(g1*y) - (g1^4*t^5.55)/y - (2*t^6.27)/(g1^9*y) - (g1^11*t^7.01)/y - t^7.36/(g1^12*y) - (3*t^7.54)/(g1^7*y) - (2*t^7.73)/(g1^2*y) + (g1^8*t^8.1)/y - (g1^13*t^8.28)/y - (2*t^8.45)/(g1^15*y) - (g1^18*t^8.46)/y + (2*t^8.63)/(g1^10*y) - t^8.82/(g1^5*y) - (t^4.09*y)/g1^3 - (t^5.36*y)/g1 - g1^4*t^5.55*y - (2*t^6.27*y)/g1^9 - g1^11*t^7.01*y - (t^7.36*y)/g1^12 - (3*t^7.54*y)/g1^7 - (2*t^7.73*y)/g1^2 + g1^8*t^8.1*y - g1^13*t^8.28*y - (2*t^8.45*y)/g1^15 - g1^18*t^8.46*y + (2*t^8.63*y)/g1^10 - (t^8.82*y)/g1^5 |
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 |
|---|---|---|---|---|---|---|---|---|
| 45447 | $M_1q_1q_2$ + $ M_2q_1^2$ + $ M_3\phi_1^2q_1$ + $ M_2M_3$ + $ M_3M_4$ + $ M_5\phi_1q_1q_2$ | 1.7959 | 1.9116 | 0.9395 | [X:[], M:[1.0843, 1.1486, 0.8514, 1.1486, 0.7229], q:[0.4257, 0.49], qb:[], phi:[0.3614]] | 2*t^2.17 + t^2.94 + t^3.25 + 2*t^3.45 + t^3.64 + 4*t^4.34 + t^4.72 + t^4.92 + 3*t^5.11 + 2*t^5.42 + 4*t^5.61 + t^5.81 + t^5.88 - t^6. - t^4.08/y - t^5.36/y - t^5.55/y - t^4.08*y - t^5.36*y - t^5.55*y | detail | |
| 45445 | $M_1q_1q_2$ + $ M_2q_1^2$ + $ M_3\phi_1^2q_1$ + $ M_2M_3$ + $ M_3M_4$ + $ q_2^4$ | 1.7754 | 1.8736 | 0.9476 | [X:[], M:[1.0714, 1.1429, 0.8571, 1.1429], q:[0.4286, 0.5], qb:[], phi:[0.3571]] | t^2.14 + t^3. + t^3.21 + 2*t^3.43 + t^3.64 + t^3.86 + 2*t^4.29 + t^4.71 + t^4.93 + 2*t^5.14 + t^5.36 + 2*t^5.57 + t^6. - t^4.07/y - t^5.36/y - t^5.57/y - t^4.07*y - t^5.36*y - t^5.57*y | detail | {a: 38973/21952, c: 41129/21952, M1: 15/14, M2: 8/7, M3: 6/7, M4: 8/7, q1: 3/7, q2: 1/2, phi1: 5/14} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 45234 | SO5adj1nf2 | $M_1q_1q_2$ + $ M_2q_1^2$ + $ M_3\phi_1^2q_1$ + $ M_2M_3$ | 1.7893 | 1.8975 | 0.943 | [X:[], M:[1.0978, 1.1546, 0.8454], q:[0.4227, 0.4795], qb:[], phi:[0.3659]] | t^2.2 + t^2.54 + t^2.88 + t^3.29 + t^3.46 + t^3.63 + t^3.8 + 2*t^4.39 + 2*t^4.73 + t^4.9 + 3*t^5.07 + t^5.41 + t^5.49 + t^5.66 + t^5.75 + t^5.83 + t^6. - t^4.1/y - t^5.37/y - t^5.54/y - t^4.1*y - t^5.37*y - t^5.54*y | detail |