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 |
|---|---|---|---|---|---|---|---|---|---|
| 44922 | SO5adj1nf2 | $q_1^3q_2$ | 1.789 | 1.8962 | 0.9435 | [X:[], M:[], q:[0.5144, 0.4567], qb:[], phi:[0.343]] | [X:[], M:[], q:[[-3], [9]], qb:[], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^2$, $ q_2^2$, $ q_1q_2$, $ q_1^2$, $ \phi_1^2q_2$, $ \phi_1^2q_1$, $ \phi_1q_1q_2$, $ \phi_1^4$, $ \phi_1^2q_2^2$, $ \phi_1^2q_1q_2$, $ \phi_1^2q_1^2$, $ q_2^4$, $ \phi_1^4q_2$, $ q_1q_2^3$, $ \phi_1^4q_1$, $ q_1^2q_2^2$ | $2\phi_1^3q_1q_2$ | 1 | t^2.06 + t^2.74 + t^2.91 + t^3.09 + t^3.43 + t^3.6 + t^3.94 + 2*t^4.12 + 2*t^4.8 + 2*t^4.97 + 2*t^5.14 + t^5.48 + t^5.49 + t^5.65 + t^5.66 + t^5.83 + t^6. + 3*t^6.17 + 2*t^6.34 + t^6.51 + t^6.68 + 4*t^6.86 + 4*t^7.03 + 3*t^7.2 + t^7.37 + 5*t^7.54 + 3*t^7.71 + 2*t^7.72 + 3*t^7.88 + 3*t^8.06 + t^8.22 + 5*t^8.23 + t^8.39 + 3*t^8.4 + 3*t^8.57 + t^8.74 + t^8.75 + 4*t^8.91 - t^4.03/y - t^5.4/y - t^5.57/y - (2*t^6.09)/y - t^6.77/y - t^6.94/y - t^7.12/y - (2*t^7.46)/y - (2*t^7.63)/y + t^7.8/y + t^7.97/y - (3*t^8.14)/y - (2*t^8.31)/y + t^8.65/y + t^8.66/y - (2*t^8.83)/y - t^4.03*y - t^5.4*y - t^5.57*y - 2*t^6.09*y - t^6.77*y - t^6.94*y - t^7.12*y - 2*t^7.46*y - 2*t^7.63*y + t^7.8*y + t^7.97*y - 3*t^8.14*y - 2*t^8.31*y + t^8.65*y + t^8.66*y - 2*t^8.83*y | t^2.06/g1^4 + g1^18*t^2.74 + g1^6*t^2.91 + t^3.09/g1^6 + g1^5*t^3.43 + t^3.6/g1^7 + g1^4*t^3.94 + (2*t^4.12)/g1^8 + 2*g1^14*t^4.8 + 2*g1^2*t^4.97 + (2*t^5.14)/g1^10 + g1^36*t^5.48 + g1*t^5.49 + g1^24*t^5.65 + t^5.66/g1^11 + g1^12*t^5.83 + t^6. + (2*t^6.17)/g1^12 + g1^23*t^6.17 + 2*g1^11*t^6.34 + t^6.51/g1 + g1^22*t^6.68 + 4*g1^10*t^6.86 + (4*t^7.03)/g1^2 + (3*t^7.2)/g1^14 + g1^9*t^7.37 + (3*t^7.54)/g1^3 + 2*g1^32*t^7.54 + 3*g1^20*t^7.71 + (2*t^7.72)/g1^15 + 3*g1^8*t^7.88 + (3*t^8.06)/g1^4 + g1^54*t^8.22 + (3*t^8.23)/g1^16 + 2*g1^19*t^8.23 + g1^42*t^8.39 + 3*g1^7*t^8.4 + (2*t^8.57)/g1^5 + g1^30*t^8.57 + g1^18*t^8.74 + t^8.75/g1^17 + 3*g1^6*t^8.91 + g1^41*t^8.91 - t^4.03/(g1^2*y) - (g1^7*t^5.4)/y - t^5.57/(g1^5*y) - (2*t^6.09)/(g1^6*y) - (g1^16*t^6.77)/y - (g1^4*t^6.94)/y - t^7.12/(g1^8*y) - (2*g1^3*t^7.46)/y - (2*t^7.63)/(g1^9*y) + (g1^14*t^7.8)/y + (g1^2*t^7.97)/y - (2*t^8.14)/(g1^10*y) - (g1^25*t^8.14)/y - (2*g1^13*t^8.31)/y + (g1^24*t^8.65)/y + t^8.66/(g1^11*y) - (2*g1^12*t^8.83)/y - (t^4.03*y)/g1^2 - g1^7*t^5.4*y - (t^5.57*y)/g1^5 - (2*t^6.09*y)/g1^6 - g1^16*t^6.77*y - g1^4*t^6.94*y - (t^7.12*y)/g1^8 - 2*g1^3*t^7.46*y - (2*t^7.63*y)/g1^9 + g1^14*t^7.8*y + g1^2*t^7.97*y - (2*t^8.14*y)/g1^10 - g1^25*t^8.14*y - 2*g1^13*t^8.31*y + g1^24*t^8.65*y + (t^8.66*y)/g1^11 - 2*g1^12*t^8.83*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 |
|---|---|---|---|---|---|---|---|---|
| 44979 | $q_1^3q_2$ + $ M_1\phi_1q_1q_2$ | 1.8097 | 1.9365 | 0.9345 | [X:[], M:[0.6855], q:[0.5142, 0.4575], qb:[], phi:[0.3428]] | 2*t^2.06 + t^2.75 + t^2.92 + t^3.08 + t^3.43 + t^3.6 + 4*t^4.11 + 3*t^4.8 + 3*t^4.97 + 3*t^5.14 + 3*t^5.49 + 3*t^5.66 + t^5.83 - t^4.03/y - t^5.4/y - t^5.57/y - t^4.03*y - t^5.4*y - t^5.57*y | detail | |
| 44937 | $q_1^3q_2$ + $ M_1\phi_1^2q_2$ | 1.8017 | 1.9175 | 0.9396 | [X:[], M:[0.8532], q:[0.5119, 0.4643], qb:[], phi:[0.3413]] | t^2.05 + t^2.56 + t^2.79 + t^2.93 + t^3.07 + t^3.58 + t^3.95 + 2*t^4.1 + t^4.61 + 2*t^4.83 + 2*t^4.98 + 3*t^5.12 + t^5.35 + t^5.49 + t^5.57 + 2*t^5.63 + t^5.71 + t^5.86 + t^6. - t^4.02/y - t^5.42/y - t^5.56/y - t^4.02*y - t^5.42*y - t^5.56*y | detail | |
| 44933 | $q_1^3q_2$ + $ M_1q_1q_2$ | 1.7866 | 1.8917 | 0.9445 | [X:[], M:[1.0214], q:[0.5107, 0.4679], qb:[], phi:[0.3405]] | t^2.04 + t^2.81 + 2*t^3.06 + t^3.45 + t^3.57 + t^3.96 + 2*t^4.09 + 2*t^4.85 + t^4.98 + 3*t^5.11 + t^5.49 + 2*t^5.62 + t^5.87 - t^4.02/y - t^5.43/y - t^5.55/y - t^4.02*y - t^5.43*y - t^5.55*y | detail | |
| 44967 | $q_1^3q_2$ + $ M_1q_1^2$ | 1.792 | 1.9022 | 0.9421 | [X:[], M:[0.9638], q:[0.5181, 0.4457], qb:[], phi:[0.3454]] | t^2.07 + t^2.67 + 2*t^2.89 + t^3.41 + t^3.63 + t^3.93 + 2*t^4.14 + 2*t^4.75 + 3*t^4.96 + t^5.18 + t^5.35 + t^5.48 + 2*t^5.57 + t^5.7 + 2*t^5.78 - t^4.04/y - t^5.37/y - t^5.59/y - t^4.04*y - t^5.37*y - t^5.59*y | detail | |
| 44940 | $q_1^3q_2$ + $ M_1q_2^2$ | 1.7841 | 1.8877 | 0.9451 | [X:[], M:[1.018], q:[0.503, 0.491], qb:[], phi:[0.3353]] | t^2.01 + t^2.98 + t^3.02 + t^3.05 + t^3.49 + t^3.52 + t^3.99 + 2*t^4.02 + t^4.96 + 2*t^4.99 + 2*t^5.03 + t^5.07 + t^5.5 + t^5.53 + t^6. - t^4.01/y - t^5.48/y - t^5.51/y - t^4.01*y - t^5.48*y - t^5.51*y | detail | |
| 44976 | $q_1^3q_2$ + $ \phi_1^2q_1^2$ + $ q_2^2X_1$ | 1.587 | 1.6745 | 0.9477 | [X:[1.6], M:[], q:[0.6, 0.2], qb:[], phi:[0.4]] | 2*t^2.4 + t^3. + 3*t^3.6 + t^4.2 + 5*t^4.8 + 2*t^5.4 + 6*t^6. - t^4.2/y - t^4.8/y - t^6./y - t^4.2*y - t^4.8*y - t^6.*y | detail | {a: 1587/1000, c: 3349/2000, X1: 8/5, q1: 3/5, q2: 1/5, phi1: 2/5} |
| 44973 | $q_1^3q_2$ + $ \phi_1^2q_2^2$ + $ \phi_1^2X_1$ | 1.6082 | 1.6707 | 0.9626 | [X:[1.4286], M:[], q:[0.4286, 0.7143], qb:[], phi:[0.2857]] | t^2.57 + t^3. + 2*t^3.43 + t^3.86 + 4*t^4.29 + t^5.14 + 2*t^6. - t^3.86/y - t^5.14/y - t^5.57/y - t^6./y - t^3.86*y - t^5.14*y - t^5.57*y - t^6.*y | detail | {a: 4413/2744, c: 9169/5488, X1: 10/7, q1: 3/7, q2: 5/7, phi1: 2/7} |
| 44980 | $q_1^3q_2$ + $ q_2^2$ + $ \phi_1^2X_1$ + $ q_1^2X_2$ | 1.152 | 1.1659 | 0.9881 | [X:[1.5556, 1.3333], M:[], q:[0.3333, 1.0], qb:[], phi:[0.2222]] | t^2.33 + t^2.67 + t^3.33 + t^4. + 2*t^4.67 + t^5. + t^5.33 + t^5.67 - t^3.67/y - t^4.67/y - t^5./y - t^6./y - t^3.67*y - t^4.67*y - t^5.*y - t^6.*y | detail | {a: 1493/1296, c: 1511/1296, X1: 14/9, X2: 4/3, q1: 1/3, q2: 1, phi1: 2/9} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 44917 | SO5adj1nf2 | . | 1.802 | 1.9168 | 0.9401 | [X:[], M:[], q:[0.4488, 0.4488], qb:[], phi:[0.3674]] | t^2.2 + 3*t^2.69 + 2*t^3.55 + t^3.8 + 2*t^4.41 + 6*t^4.9 + 6*t^5.39 + 2*t^5.76 - 2*t^6. - t^4.1/y - (2*t^5.45)/y - t^4.1*y - 2*t^5.45*y | detail |