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 |
|---|---|---|---|---|---|---|---|---|---|
| 44923 | SO5adj1nf2 | $M_1q_1q_2$ | 1.7938 | 1.9011 | 0.9435 | [X:[], M:[1.0769], q:[0.4615, 0.4615], qb:[], phi:[0.359]] | [X:[], M:[[-3, -3]], q:[[3, 0], [0, 3]], qb:[], phi:[[-1, -1]]] | 2 | {a: 14551/8112, c: 7711/4056, M1: 14/13, q1: 6/13, q2: 6/13, phi1: 14/39} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^2$, $ q_1^2$, $ q_2^2$, $ M_1$, $ \phi_1^2q_1$, $ \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$, $ q_1^4$, $ q_1^2q_2^2$, $ q_2^4$, $ \phi_1^4q_1$, $ \phi_1^4q_2$ | $2\phi_1^3q_1q_2$ | 0 | t^2.15 + 2*t^2.77 + t^3.23 + 2*t^3.54 + t^3.85 + 2*t^4.31 + 5*t^4.92 + t^5.38 + 3*t^5.54 + 2*t^5.69 + 4*t^6.31 + 3*t^6.46 + 2*t^6.62 + 8*t^7.08 + 2*t^7.38 + 2*t^7.54 + 9*t^7.69 + 4*t^7.85 + t^8.15 + 4*t^8.31 + 8*t^8.46 + 4*t^8.62 - t^8.77 - t^4.08/y - (2*t^5.46)/y - (2*t^6.23)/y - (2*t^6.85)/y - t^7.31/y - (4*t^7.62)/y + (2*t^7.92)/y - (4*t^8.23)/y - (2*t^8.38)/y + t^8.54/y + (2*t^8.69)/y - t^4.08*y - 2*t^5.46*y - 2*t^6.23*y - 2*t^6.85*y - t^7.31*y - 4*t^7.62*y + 2*t^7.92*y - 4*t^8.23*y - 2*t^8.38*y + t^8.54*y + 2*t^8.69*y | t^2.15/(g1^2*g2^2) + g1^6*t^2.77 + g2^6*t^2.77 + t^3.23/(g1^3*g2^3) + (g1*t^3.54)/g2^2 + (g2*t^3.54)/g1^2 + g1^2*g2^2*t^3.85 + (2*t^4.31)/(g1^4*g2^4) + (2*g1^4*t^4.92)/g2^2 + g1*g2*t^4.92 + (2*g2^4*t^4.92)/g1^2 + t^5.38/(g1^5*g2^5) + g1^12*t^5.54 + g1^6*g2^6*t^5.54 + g2^12*t^5.54 + t^5.69/(g1*g2^4) + t^5.69/(g1^4*g2) + (g1^7*t^6.31)/g2^2 + g1^4*g2*t^6.31 + g1*g2^4*t^6.31 + (g2^7*t^6.31)/g1^2 + (3*t^6.46)/(g1^6*g2^6) + g1^8*g2^2*t^6.62 + g1^2*g2^8*t^6.62 + (3*g1^2*t^7.08)/g2^4 + (2*t^7.08)/(g1*g2) + (3*g2^2*t^7.08)/g1^4 + g1^3*t^7.38 + g2^3*t^7.38 + (2*t^7.54)/(g1^7*g2^7) + (2*g1^10*t^7.69)/g2^2 + g1^7*g2*t^7.69 + 3*g1^4*g2^4*t^7.69 + g1*g2^7*t^7.69 + (2*g2^10*t^7.69)/g1^2 + (2*t^7.85)/(g1^3*g2^6) + (2*t^7.85)/(g1^6*g2^3) + t^8.15/(g1^2*g2^2) + g1^18*t^8.31 + g1^12*g2^6*t^8.31 + g1^6*g2^12*t^8.31 + g2^18*t^8.31 + (2*g1^5*t^8.46)/g2^4 + (2*g1^2*t^8.46)/g2 + (2*g2^2*t^8.46)/g1 + (2*g2^5*t^8.46)/g1^4 + (4*t^8.62)/(g1^8*g2^8) - g1^3*g2^3*t^8.77 - t^4.08/(g1*g2*y) - (g1^2*t^5.46)/(g2*y) - (g2^2*t^5.46)/(g1*y) - (2*t^6.23)/(g1^3*g2^3*y) - (g1^5*t^6.85)/(g2*y) - (g2^5*t^6.85)/(g1*y) - t^7.31/(g1^4*g2^4*y) - (2*t^7.62)/(g1^3*y) - (2*t^7.62)/(g2^3*y) + (g1^4*t^7.92)/(g2^2*y) + (g2^4*t^7.92)/(g1^2*y) - (g1^8*t^8.23)/(g2*y) - (g1^5*g2^2*t^8.23)/y - (g1^2*g2^5*t^8.23)/y - (g2^8*t^8.23)/(g1*y) - (2*t^8.38)/(g1^5*g2^5*y) + (g1^6*g2^6*t^8.54)/y + t^8.69/(g1*g2^4*y) + t^8.69/(g1^4*g2*y) - (t^4.08*y)/(g1*g2) - (g1^2*t^5.46*y)/g2 - (g2^2*t^5.46*y)/g1 - (2*t^6.23*y)/(g1^3*g2^3) - (g1^5*t^6.85*y)/g2 - (g2^5*t^6.85*y)/g1 - (t^7.31*y)/(g1^4*g2^4) - (2*t^7.62*y)/g1^3 - (2*t^7.62*y)/g2^3 + (g1^4*t^7.92*y)/g2^2 + (g2^4*t^7.92*y)/g1^2 - (g1^8*t^8.23*y)/g2 - g1^5*g2^2*t^8.23*y - g1^2*g2^5*t^8.23*y - (g2^8*t^8.23*y)/g1 - (2*t^8.38*y)/(g1^5*g2^5) + g1^6*g2^6*t^8.54*y + (t^8.69*y)/(g1*g2^4) + (t^8.69*y)/(g1^4*g2) |
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 |
|---|---|---|---|---|---|---|---|---|
| 44946 | $M_1q_1q_2$ + $ M_1\phi_1^2$ | 1.7685 | 1.881 | 0.9402 | [X:[], M:[1.2], q:[0.4, 0.4], qb:[], phi:[0.4]] | 3*t^2.4 + 4*t^3.6 + 10*t^4.8 + 9*t^6. - t^4.2/y - (2*t^5.4)/y - t^4.2*y - 2*t^5.4*y | detail | {a: 3537/2000, c: 1881/1000, M1: 6/5, q1: 2/5, q2: 2/5, phi1: 2/5} |
| 44932 | $M_1q_1q_2$ + $ M_2\phi_1q_1q_2$ | 1.8139 | 1.9389 | 0.9355 | [X:[], M:[1.0719, 0.7146], q:[0.464, 0.464], qb:[], phi:[0.3573]] | 2*t^2.14 + 2*t^2.78 + t^3.22 + 2*t^3.54 + 4*t^4.29 + 7*t^4.93 + 2*t^5.36 + 3*t^5.57 + 4*t^5.68 - t^6. - t^4.07/y - (2*t^5.46)/y - t^4.07*y - 2*t^5.46*y | detail | |
| 44966 | $M_1q_1q_2$ + $ M_2\phi_1^2q_1$ | 1.8092 | 1.9284 | 0.9382 | [X:[], M:[1.0801, 0.8129], q:[0.467, 0.4529], qb:[], phi:[0.36]] | t^2.16 + t^2.44 + t^2.72 + t^2.8 + t^3.24 + t^3.52 + t^3.84 + 2*t^4.32 + t^4.6 + 3*t^4.88 + t^4.92 + 2*t^4.96 + t^5.16 + t^5.24 + t^5.4 + t^5.44 + t^5.52 + t^5.6 + 2*t^5.68 + t^5.96 - t^4.08/y - t^5.44/y - t^5.48/y - t^4.08*y - t^5.44*y - t^5.48*y | detail | |
| 44948 | $M_1q_1q_2$ + $ M_2q_1^2$ | 1.7899 | 1.8957 | 0.9442 | [X:[], M:[1.0484, 1.006], q:[0.497, 0.4546], qb:[], phi:[0.3495]] | t^2.1 + t^2.73 + t^3.02 + t^3.15 + t^3.46 + t^3.59 + t^3.9 + 2*t^4.19 + 2*t^4.82 + t^4.95 + t^5.08 + t^5.11 + t^5.24 + t^5.46 + t^5.56 + t^5.68 + t^5.75 - t^4.05/y - t^5.41/y - t^5.54/y - t^4.05*y - t^5.41*y - t^5.54*y | detail | |
| 44949 | $M_1q_1q_2$ + $ \phi_1^2q_1^2$ + $ \phi_1^2X_1$ | 1.647 | 1.7283 | 0.953 | [X:[1.3498], M:[0.9753], q:[0.6749, 0.3498], qb:[], phi:[0.3251]] | t^2.1 + t^2.93 + t^3. + t^3.9 + t^3.98 + 4*t^4.05 + t^4.2 + t^5.02 + t^5.1 + t^5.85 + t^6. - t^3.98/y - t^5.02/y - t^5.93/y - t^6./y - t^3.98*y - t^5.02*y - t^5.93*y - t^6.*y | detail | |
| 44950 | $M_1q_1q_2$ + $ \phi_1^4q_1$ | 1.7768 | 1.8876 | 0.9413 | [X:[], M:[1.159], q:[0.4547, 0.3863], qb:[], phi:[0.3863]] | 2*t^2.32 + t^2.73 + 2*t^3.48 + 2*t^3.68 + 5*t^4.64 + t^4.84 + 3*t^5.05 + t^5.46 + 3*t^5.79 + 3*t^6. - t^4.16/y - t^5.32/y - t^5.52/y - t^4.16*y - t^5.32*y - t^5.52*y | detail | |
| 44970 | $M_1q_1q_2$ + $ q_1^4$ | 1.7898 | 1.8959 | 0.944 | [X:[], M:[1.046], q:[0.5, 0.454], qb:[], phi:[0.3487]] | t^2.09 + t^2.72 + t^3. + t^3.14 + t^3.45 + t^3.59 + t^3.91 + 2*t^4.18 + 2*t^4.82 + t^4.95 + 2*t^5.09 + t^5.23 + t^5.45 + t^5.55 + t^5.68 + t^5.72 + t^6. - t^4.05/y - t^5.41/y - t^5.55/y - t^4.05*y - t^5.41*y - t^5.55*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 |
|---|---|---|---|---|---|---|---|---|---|
| 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 |