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 |
|---|---|---|---|---|---|---|---|---|---|
| 45092 | SO5adj1nf2 | $M_1\phi_1^2q_1$ + $ 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]] | [X:[], M:[[-2], [-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$, $ M_2$, $ q_1q_2$, $ \phi_1^2q_2$, $ \phi_1q_1q_2$, $ \phi_1^4$, $ \phi_1^2q_1^2$, $ M_1\phi_1^2$, $ M_2\phi_1^2$, $ \phi_1^2q_1q_2$, $ q_1^4$, $ M_1q_1^2$, $ M_2q_1^2$, $ M_1^2$, $ M_1M_2$, $ M_2^2$, $ \phi_1^2q_2^2$, $ q_1^3q_2$, $ M_2q_1q_2$, $ \phi_1^4q_2$, $ q_1^2q_2^2$ | $2\phi_1^3q_1q_2$ | 0 | 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 + 2*t^6.14 + t^6.25 + t^6.49 + 5*t^6.64 + 3*t^6.78 + t^6.88 + 2*t^7.02 + 2*t^7.13 + 4*t^7.27 + 4*t^7.41 + 3*t^7.52 + t^7.62 + 3*t^7.66 + 2*t^7.77 + 2*t^7.8 + 6*t^7.91 + t^8.01 + 6*t^8.05 + t^8.15 + 3*t^8.19 + 3*t^8.29 + t^8.4 - t^8.44 + t^8.54 + 3*t^8.68 + 2*t^8.79 + 3*t^8.82 - t^4.02/y - t^5.29/y - t^5.68/y - (2*t^6.07)/y - t^6.56/y - (2*t^6.71)/y - t^6.95/y - t^7.34/y + t^7.59/y - t^7.84/y - t^7.98/y - (3*t^8.12)/y + t^8.47/y - t^8.61/y - (2*t^8.75)/y - t^4.02*y - t^5.29*y - t^5.68*y - 2*t^6.07*y - t^6.56*y - 2*t^6.71*y - t^6.95*y - t^7.34*y + t^7.59*y - t^7.84*y - t^7.98*y - 3*t^8.12*y + t^8.47*y - t^8.61*y - 2*t^8.75*y | t^2.05/g1^6 + g1^16*t^2.54 + (2*t^2.68)/g1^2 + g1^9*t^2.93 + t^3.71/g1^5 + g1^6*t^3.95 + (2*t^4.09)/g1^12 + 2*g1^10*t^4.59 + (2*t^4.73)/g1^8 + 2*g1^3*t^4.98 + g1^32*t^5.08 + 2*g1^14*t^5.22 + (4*t^5.36)/g1^4 + g1^25*t^5.47 + g1^7*t^5.61 + t^5.75/g1^11 + g1^18*t^5.86 + (2*t^6.14)/g1^18 + g1^11*t^6.25 + g1^22*t^6.49 + 5*g1^4*t^6.64 + (3*t^6.78)/g1^14 + g1^15*t^6.88 + (2*t^7.02)/g1^3 + 2*g1^26*t^7.13 + 4*g1^8*t^7.27 + (4*t^7.41)/g1^10 + 3*g1^19*t^7.52 + g1^48*t^7.62 + 3*g1*t^7.66 + 2*g1^30*t^7.77 + (2*t^7.8)/g1^17 + 6*g1^12*t^7.91 + g1^41*t^8.01 + (6*t^8.05)/g1^6 + g1^23*t^8.15 + (3*t^8.19)/g1^24 + 3*g1^5*t^8.29 + g1^34*t^8.4 - t^8.44/g1^13 + g1^16*t^8.54 + (3*t^8.68)/g1^2 + 2*g1^27*t^8.79 + (3*t^8.82)/g1^20 - t^4.02/(g1^3*y) - (g1^5*t^5.29)/y - t^5.68/(g1^2*y) - (2*t^6.07)/(g1^9*y) - (g1^13*t^6.56)/y - (2*t^6.71)/(g1^5*y) - (g1^6*t^6.95)/y - t^7.34/(g1*y) + (g1^10*t^7.59)/y - (g1^21*t^7.84)/y - (g1^3*t^7.98)/y - (3*t^8.12)/(g1^15*y) + (g1^25*t^8.47)/y - (g1^7*t^8.61)/y - (2*t^8.75)/(g1^11*y) - (t^4.02*y)/g1^3 - g1^5*t^5.29*y - (t^5.68*y)/g1^2 - (2*t^6.07*y)/g1^9 - g1^13*t^6.56*y - (2*t^6.71*y)/g1^5 - g1^6*t^6.95*y - (t^7.34*y)/g1 + g1^10*t^7.59*y - g1^21*t^7.84*y - g1^3*t^7.98*y - (3*t^8.12*y)/g1^15 + g1^25*t^8.47*y - g1^7*t^8.61*y - (2*t^8.75*y)/g1^11 |
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 |
|---|---|---|---|---|---|---|---|---|
| 45165 | $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ M_2q_2^2$ + $ M_3\phi_1q_1q_2$ | 1.8131 | 1.9527 | 0.9285 | [X:[], M:[0.8939, 0.8939, 0.6816], q:[0.4245, 0.5531], qb:[], phi:[0.3408]] | 2*t^2.04 + t^2.55 + 2*t^2.68 + t^2.93 + t^3.7 + 4*t^4.09 + 3*t^4.59 + 4*t^4.73 + 3*t^4.98 + t^5.09 + 2*t^5.23 + 4*t^5.36 + t^5.48 + t^5.61 + 2*t^5.75 + t^5.87 - t^6. - t^4.02/y - t^5.3/y - t^5.68/y - t^4.02*y - t^5.3*y - t^5.68*y | detail | |
| 45114 | $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ M_2q_2^2$ + $ M_3\phi_1^2$ | 1.7715 | 1.8717 | 0.9465 | [X:[], M:[0.8944, 0.8944, 1.3169], q:[0.4225, 0.5528], qb:[], phi:[0.3415]] | t^2.54 + 2*t^2.68 + t^2.93 + t^3.71 + 2*t^3.95 + t^4.1 + t^4.58 + t^4.98 + t^5.07 + 2*t^5.22 + 4*t^5.37 + t^5.46 + t^5.61 + t^5.85 - t^6. - 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 | |
| 45194 | $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ M_2q_2^2$ + $ M_3q_1q_2$ | 1.791 | 1.9091 | 0.9381 | [X:[], M:[0.89, 0.89, 1.0051], q:[0.4399, 0.555], qb:[], phi:[0.335]] | t^2.01 + t^2.64 + 2*t^2.67 + t^3.02 + t^3.68 + t^3.99 + 2*t^4.02 + 2*t^4.65 + 2*t^4.68 + t^4.99 + t^5.03 + t^5.28 + 2*t^5.31 + 4*t^5.34 + 3*t^5.69 - 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 | |
| 45131 | $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ M_2q_2^2$ + $ M_3q_1^2$ + $ \phi_1^2X_1$ | 1.7601 | 1.8504 | 0.9512 | [X:[1.3379], M:[0.8874, 0.8874, 1.0988], q:[0.4506, 0.5563], qb:[], phi:[0.331]] | 2*t^2.66 + t^3.02 + t^3.3 + t^3.66 + t^3.97 + 2*t^4.01 + t^4.69 + t^5.01 + 4*t^5.32 + t^5.68 + 2*t^5.96 - t^6. - t^3.99/y - t^5.34/y - t^5.66/y - t^5.98/y - t^3.99*y - t^5.34*y - t^5.66*y - t^5.98*y | detail | |
| 45207 | $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ M_2q_2^2$ + $ \phi_1^4q_2$ | 1.7803 | 1.9053 | 0.9344 | [X:[], M:[0.9091, 0.9091], q:[0.3636, 0.5455], qb:[], phi:[0.3636]] | 2*t^2.18 + 3*t^2.73 + 2*t^3.82 + 5*t^4.36 + 7*t^4.91 + 6*t^5.45 + 3*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: 18957/10648, c: 2536/1331, M1: 10/11, M2: 10/11, q1: 4/11, q2: 6/11, phi1: 4/11} |
| 45142 | $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ M_2q_2^2$ + $ q_1^2q_2^2$ + $ \phi_1^2X_1$ | 1.7701 | 1.8673 | 0.9479 | [X:[1.3333], M:[0.8889, 0.8889], q:[0.4444, 0.5556], qb:[], phi:[0.3333]] | 3*t^2.67 + t^3. + t^3.67 + 3*t^4. + t^4.67 + t^5. + 7*t^5.33 + 2*t^5.67 - 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: 1147/648, c: 605/324, X1: 4/3, M1: 8/9, M2: 8/9, q1: 4/9, q2: 5/9, phi1: 1/3} |
| 45106 | $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ M_2q_2^2$ + $ q_1^4$ + $ \phi_1^2X_1$ | 1.7535 | 1.8434 | 0.9513 | [X:[1.375], M:[0.875, 0.875], q:[0.5, 0.5625], qb:[], phi:[0.3125]] | 2*t^2.62 + t^3. + t^3.19 + t^3.56 + t^3.75 + 2*t^4.12 + t^4.88 + t^5.06 + 4*t^5.25 + 2*t^5.62 + t^5.81 - 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: 229839/131072, c: 241615/131072, X1: 11/8, M1: 7/8, M2: 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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | 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. - t^4.03/y - t^5.29/y - t^5.68/y - t^4.03*y - t^5.29*y - t^5.68*y | detail |