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 |
|---|---|---|---|---|---|---|---|---|---|
| 44962 | SO5adj1nf2 | $M_1\phi_1^2q_1$ + $ M_1q_2^2$ | 1.7827 | 1.8963 | 0.9401 | [X:[], M:[0.8949], q:[0.4203, 0.5525], qb:[], phi:[0.3424]] | [X:[], M:[[-2]], q:[[8], [1]], qb:[], phi:[[-3]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^2$, $ q_1^2$, $ M_1$, $ q_1q_2$, $ q_2^2$, $ \phi_1^2q_2$, $ \phi_1q_1q_2$, $ \phi_1^4$, $ \phi_1^2q_1^2$, $ M_1\phi_1^2$, $ \phi_1^2q_1q_2$, $ q_1^4$, $ M_1q_1^2$, $ M_1^2$, $ \phi_1^2q_2^2$, $ q_1^3q_2$, $ \phi_1^4q_2$, $ q_1^2q_2^2$ | $2\phi_1^3q_1q_2$ | 1 | t^2.05 + t^2.52 + t^2.68 + t^2.92 + t^3.32 + t^3.71 + t^3.95 + 2*t^4.11 + 2*t^4.58 + t^4.74 + 2*t^4.97 + t^5.04 + t^5.21 + 3*t^5.37 + t^5.44 + t^5.77 + 2*t^5.84 + t^6. + 2*t^6.16 + 2*t^6.23 - t^6.4 + t^6.47 + 5*t^6.63 + t^6.79 + t^6.86 + 3*t^7.03 + 2*t^7.1 + 3*t^7.26 + 4*t^7.42 + 3*t^7.49 + t^7.57 + t^7.66 + t^7.73 + 2*t^7.82 + 6*t^7.89 + t^7.96 + 3*t^8.05 + 3*t^8.22 + 4*t^8.29 + 2*t^8.36 - 2*t^8.45 + t^8.52 + 6*t^8.68 + 3*t^8.76 + t^8.85 - t^8.92 + t^8.99 - t^4.03/y - t^5.29/y - t^5.68/y - (2*t^6.08)/y - t^6.55/y - t^6.71/y - t^6.95/y - (2*t^7.34)/y + t^7.58/y - t^7.74/y - t^7.81/y - (3*t^8.14)/y - t^8.21/y + t^8.37/y + t^8.44/y - (3*t^8.6)/y + t^8.84/y - t^4.03*y - t^5.29*y - t^5.68*y - 2*t^6.08*y - t^6.55*y - t^6.71*y - t^6.95*y - 2*t^7.34*y + t^7.58*y - t^7.74*y - t^7.81*y - 3*t^8.14*y - t^8.21*y + t^8.37*y + t^8.44*y - 3*t^8.6*y + t^8.84*y | t^2.05/g1^6 + g1^16*t^2.52 + t^2.68/g1^2 + g1^9*t^2.92 + g1^2*t^3.32 + t^3.71/g1^5 + g1^6*t^3.95 + (2*t^4.11)/g1^12 + 2*g1^10*t^4.58 + t^4.74/g1^8 + 2*g1^3*t^4.97 + g1^32*t^5.04 + g1^14*t^5.21 + (3*t^5.37)/g1^4 + g1^25*t^5.44 + t^5.77/g1^11 + 2*g1^18*t^5.84 + t^6. + (2*t^6.16)/g1^18 + 2*g1^11*t^6.23 - t^6.4/g1^7 + g1^22*t^6.47 + 5*g1^4*t^6.63 + t^6.79/g1^14 + g1^15*t^6.86 + (3*t^7.03)/g1^3 + 2*g1^26*t^7.1 + 3*g1^8*t^7.26 + (4*t^7.42)/g1^10 + 3*g1^19*t^7.49 + g1^48*t^7.57 + g1*t^7.66 + g1^30*t^7.73 + (2*t^7.82)/g1^17 + 6*g1^12*t^7.89 + g1^41*t^7.96 + (3*t^8.05)/g1^6 + (3*t^8.22)/g1^24 + 4*g1^5*t^8.29 + 2*g1^34*t^8.36 - (2*t^8.45)/g1^13 + g1^16*t^8.52 + (6*t^8.68)/g1^2 + 3*g1^27*t^8.76 + t^8.85/g1^20 - g1^9*t^8.92 + g1^38*t^8.99 - t^4.03/(g1^3*y) - (g1^5*t^5.29)/y - t^5.68/(g1^2*y) - (2*t^6.08)/(g1^9*y) - (g1^13*t^6.55)/y - t^6.71/(g1^5*y) - (g1^6*t^6.95)/y - (2*t^7.34)/(g1*y) + (g1^10*t^7.58)/y - t^7.74/(g1^8*y) - (g1^21*t^7.81)/y - (3*t^8.14)/(g1^15*y) - (g1^14*t^8.21)/y + t^8.37/(g1^4*y) + (g1^25*t^8.44)/y - (3*g1^7*t^8.6)/y + (g1^18*t^8.84)/y - (t^4.03*y)/g1^3 - g1^5*t^5.29*y - (t^5.68*y)/g1^2 - (2*t^6.08*y)/g1^9 - g1^13*t^6.55*y - (t^6.71*y)/g1^5 - g1^6*t^6.95*y - (2*t^7.34*y)/g1 + g1^10*t^7.58*y - (t^7.74*y)/g1^8 - g1^21*t^7.81*y - (3*t^8.14*y)/g1^15 - g1^14*t^8.21*y + (t^8.37*y)/g1^4 + g1^25*t^8.44*y - 3*g1^7*t^8.6*y + g1^18*t^8.84*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 |
|---|---|---|---|---|---|---|---|---|
| 45029 | $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ M_1q_1^2$ + $ \phi_1^2X_1$ | 1.6946 | 1.766 | 0.9596 | [X:[1.4286], M:[0.8571], q:[0.5714, 0.5714], qb:[], phi:[0.2857]] | t^2.57 + 5*t^3.43 + 2*t^4.29 + 4*t^5.14 - t^3.86/y - (3*t^5.57)/y - t^3.86*y - 3*t^5.57*y | detail | {a: 2325/1372, c: 2423/1372, X1: 10/7, M1: 6/7, q1: 4/7, q2: 4/7, phi1: 2/7} |
| 45035 | $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ M_2q_1q_2$ | 1.7811 | 1.8924 | 0.9412 | [X:[], M:[0.8908, 1.0088], q:[0.4367, 0.5546], qb:[], phi:[0.3363]] | t^2.02 + t^2.62 + t^2.67 + t^3.03 + t^3.33 + t^3.68 + t^3.98 + 2*t^4.04 + 2*t^4.64 + t^4.69 + t^4.99 + t^5.04 + t^5.24 + t^5.29 + 3*t^5.35 + 2*t^5.7 + t^5.95 + t^6. - t^4.01/y - t^5.32/y - t^5.67/y - t^4.01*y - t^5.32*y - t^5.67*y | detail | |
| 45073 | $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ M_2q_1^2$ + $ \phi_1^2X_1$ | 1.75 | 1.8333 | 0.9546 | [X:[1.335], M:[0.8883, 1.1067], q:[0.4467, 0.5558], qb:[], phi:[0.3325]] | t^2.67 + t^3.01 + t^3.32 + t^3.33 + t^3.66 + t^3.99 + 2*t^4. + t^4.67 + t^5. + 2*t^5.33 + t^5.99 - t^4./y - t^5.34/y - t^5.67/y - t^5.99/y - t^4.*y - t^5.34*y - t^5.67*y - t^5.99*y | detail | |
| 45092 | $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ M_2q_2^2$ | 1.7923 | 1.9121 | 0.9373 | [X:[], M:[0.8941, 0.8941], q:[0.4236, 0.5529], qb:[], phi:[0.3412]] | t^2.05 + t^2.54 + 2*t^2.68 + t^2.93 + t^3.71 + t^3.95 + 2*t^4.09 + 2*t^4.59 + 2*t^4.73 + 2*t^4.98 + t^5.08 + 2*t^5.22 + 4*t^5.36 + t^5.47 + t^5.61 + t^5.75 + t^5.86 - t^4.02/y - t^5.29/y - t^5.68/y - t^4.02*y - t^5.29*y - t^5.68*y | detail | |
| 45094 | $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ \phi_1^2q_1^2$ + $ \phi_1^2X_1$ | 1.386 | 1.4235 | 0.9737 | [X:[1.6], M:[0.8], q:[0.8, 0.6], qb:[], phi:[0.2]] | 2*t^2.4 + t^3. + t^3.6 + t^4.2 + 6*t^4.8 + t^5.4 + 2*t^6. - t^3.6/y - t^4.8/y - t^5.4/y - (3*t^6.)/y - t^3.6*y - t^4.8*y - t^5.4*y - 3*t^6.*y | detail | {a: 693/500, c: 2847/2000, X1: 8/5, M1: 4/5, q1: 4/5, q2: 3/5, phi1: 1/5} |
| 45005 | $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ \phi_1^4q_2$ | 1.772 | 1.8913 | 0.9369 | [X:[], M:[0.9091], q:[0.3636, 0.5455], qb:[], phi:[0.3636]] | 2*t^2.18 + 2*t^2.73 + t^3.27 + 2*t^3.82 + 5*t^4.36 + 5*t^4.91 + 5*t^5.45 + 5*t^6. - t^4.09/y - t^5.18/y - t^5.73/y - t^4.09*y - t^5.18*y - t^5.73*y | detail | {a: 37737/21296, c: 20139/10648, M1: 10/11, q1: 4/11, q2: 6/11, phi1: 4/11} |
| 45044 | $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ q_1^2q_2^2$ + $ \phi_1^2X_1$ | 1.76 | 1.8503 | 0.9512 | [X:[1.3333], M:[0.8889], q:[0.4444, 0.5556], qb:[], phi:[0.3333]] | 2*t^2.67 + t^3. + t^3.33 + t^3.67 + 3*t^4. + t^4.67 + t^5. + 4*t^5.33 + t^5.67 + 2*t^6. - t^4./y - t^5.33/y - t^5.67/y - t^6./y - t^4.*y - t^5.33*y - t^5.67*y - t^6.*y | detail | {a: 2281/1296, c: 1199/648, X1: 4/3, M1: 8/9, q1: 4/9, q2: 5/9, phi1: 1/3} |
| 45037 | $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ q_1^2$ + $ \phi_1^2X_1$ + $ \phi_1^4X_2$ | 0.9684 | 0.945 | 1.0248 | [X:[1.75, 1.5], M:[0.75], q:[1.0, 0.625], qb:[], phi:[0.125]] | t^2.25 + t^2.62 + 3*t^4.5 + 2*t^5.25 - t^6. - t^3.38/y - t^4.12/y - t^5.25/y - t^5.62/y - t^6./y - t^3.38*y - t^4.12*y - t^5.25*y - t^5.62*y - t^6.*y | detail | {a: 15867/16384, c: 15483/16384, X1: 7/4, X2: 3/2, M1: 3/4, q1: 1, q2: 5/8, phi1: 1/8} |
| 45055 | $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ q_1^4$ + $ \phi_1^2X_1$ | 1.7424 | 1.8244 | 0.955 | [X:[1.375], M:[0.875], q:[0.5, 0.5625], qb:[], phi:[0.3125]] | t^2.62 + t^3. + t^3.19 + t^3.38 + t^3.56 + t^3.75 + 2*t^4.12 + t^4.88 + t^5.06 + 2*t^5.25 + t^5.62 + t^6. - t^3.94/y - t^5.44/y - t^5.62/y - t^5.81/y - t^3.94*y - t^5.44*y - t^5.62*y - t^5.81*y | detail | {a: 228375/131072, c: 239127/131072, X1: 11/8, M1: 7/8, q1: 1/2, q2: 9/16, phi1: 5/16} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 44918 | SO5adj1nf2 | $M_1\phi_1^2q_1$ | 1.8177 | 1.9448 | 0.9347 | [X:[], M:[0.809], q:[0.4541, 0.4406], qb:[], phi:[0.3684]] | t^2.21 + t^2.43 + t^2.64 + t^2.68 + t^2.72 + t^3.53 + t^3.79 + 2*t^4.42 + t^4.64 + 3*t^4.85 + 2*t^4.89 + 2*t^4.94 + t^5.07 + t^5.11 + t^5.15 + t^5.29 + t^5.33 + 2*t^5.37 + t^5.41 + t^5.45 + t^5.74 - t^4.11/y - t^5.43/y - t^5.47/y - t^4.11*y - t^5.43*y - t^5.47*y | detail | |
| 44919 | SO5adj1nf2 | $M_1\phi_1^2$ | 1.7824 | 1.8817 | 0.9472 | [X:[], M:[1.2605], q:[0.4454, 0.4454], qb:[], phi:[0.3698]] | 3*t^2.67 + 2*t^3.55 + 2*t^3.78 + t^4.44 + 3*t^4.89 + 6*t^5.34 - 3*t^6. - t^4.11/y - (2*t^5.45)/y - t^4.11*y - 2*t^5.45*y | detail |