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 |
|---|---|---|---|---|---|---|---|---|---|
| 44963 | SO5adj1nf2 | $M_1\phi_1^2q_1$ + $ M_2q_1^2$ | 1.8123 | 1.9359 | 0.9361 | [X:[], M:[0.7935, 1.0238], q:[0.4881, 0.4344], qb:[], phi:[0.3592]] | [X:[], M:[[-1, 2], [-6, 0]], q:[[3, 0], [0, 3]], qb:[], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^2$, $ M_1$, $ q_2^2$, $ q_1q_2$, $ M_2$, $ \phi_1^2q_2$, $ \phi_1q_1q_2$, $ \phi_1^4$, $ M_1\phi_1^2$, $ M_1^2$, $ \phi_1^2q_2^2$, $ \phi_1^2q_1q_2$, $ M_1q_2^2$, $ \phi_1^2q_1^2$, $ M_1q_1q_2$, $ q_2^4$, $ M_2\phi_1^2$, $ q_1q_2^3$, $ M_1M_2$, $ q_1^2q_2^2$, $ \phi_1^4q_2$, $ M_2q_2^2$, $ M_2q_1q_2$ | $2\phi_1^3q_1q_2$ | 0 | t^2.16 + t^2.38 + t^2.61 + t^2.77 + t^3.07 + t^3.46 + t^3.84 + 2*t^4.31 + t^4.54 + 3*t^4.76 + 2*t^4.92 + t^4.99 + t^5.08 + t^5.15 + t^5.21 + t^5.23 + t^5.37 + t^5.45 + t^5.53 + t^5.61 + t^5.68 + t^5.84 + t^6.06 + t^6.14 - t^6.16 + 2*t^6.23 + t^6.45 + 2*t^6.47 + t^6.53 + t^6.61 + t^6.69 - t^6.85 + 5*t^6.92 + 2*t^7.08 + 3*t^7.14 + 3*t^7.3 + 3*t^7.37 + 2*t^7.38 + t^7.46 + 4*t^7.53 + t^7.59 + t^7.61 + 3*t^7.69 + t^7.75 + 2*t^7.77 + t^7.82 + 3*t^7.83 + t^7.85 + t^7.92 + t^7.98 + t^7.99 + t^8.06 + t^8.14 + t^8.16 + 3*t^8.22 + t^8.28 + 2*t^8.3 - 2*t^8.32 + t^8.38 + t^8.44 + t^8.52 - t^8.54 + 2*t^8.61 + 3*t^8.62 + t^8.67 + t^8.68 + t^8.75 - t^8.77 + 2*t^8.83 + t^8.85 + t^8.91 - t^8.93 + 2*t^8.99 - t^4.08/y - t^5.38/y - t^5.54/y - (2*t^6.23)/y - t^6.46/y - t^6.68/y - t^6.84/y - t^7.15/y - t^7.54/y - t^7.7/y - t^8.15/y + t^8.23/y - t^8.31/y + t^8.37/y - (3*t^8.39)/y - t^8.61/y + t^8.68/y + t^8.77/y - (2*t^8.84)/y - t^4.08*y - t^5.38*y - t^5.54*y - 2*t^6.23*y - t^6.46*y - t^6.68*y - t^6.84*y - t^7.15*y - t^7.54*y - t^7.7*y - t^8.15*y + t^8.23*y - t^8.31*y + t^8.37*y - 3*t^8.39*y - t^8.61*y + t^8.68*y + t^8.77*y - 2*t^8.84*y | t^2.16/(g1^2*g2^2) + (g2^2*t^2.38)/g1 + g2^6*t^2.61 + g1^3*g2^3*t^2.77 + t^3.07/g1^6 + (g2*t^3.46)/g1^2 + g1^2*g2^2*t^3.84 + (2*t^4.31)/(g1^4*g2^4) + t^4.54/g1^3 + (3*g2^4*t^4.76)/g1^2 + 2*g1*g2*t^4.92 + (g2^8*t^4.99)/g1 + (g1^4*t^5.08)/g2^2 + g1^2*g2^5*t^5.15 + g2^12*t^5.21 + t^5.23/(g1^8*g2^2) + g1^3*g2^9*t^5.37 + (g2^2*t^5.45)/g1^7 + g1^6*g2^6*t^5.53 + t^5.61/(g1^4*g2) + (g2^6*t^5.68)/g1^6 + (g2^3*t^5.84)/g1^3 + (g2^7*t^6.06)/g1^2 + t^6.14/g1^12 - (g1^3*t^6.16)/g2^3 + 2*g1*g2^4*t^6.23 + g1^2*g2^8*t^6.45 + (2*t^6.47)/(g1^6*g2^6) + (g2*t^6.53)/g1^8 + g1^5*g2^5*t^6.61 + t^6.69/(g1^5*g2^2) - t^6.85/(g1^2*g2^5) + (5*g2^2*t^6.92)/g1^4 + (2*t^7.08)/(g1*g2) + (3*g2^6*t^7.14)/g1^3 + 3*g2^3*t^7.3 + (3*g2^10*t^7.37)/g1^2 + (2*t^7.38)/(g1^10*g2^4) + g1^3*t^7.46 + 4*g1*g2^7*t^7.53 + (g2^14*t^7.59)/g1 + t^7.61/g1^9 + 3*g1^4*g2^4*t^7.69 + g1^2*g2^11*t^7.75 + (2*t^7.77)/(g1^6*g2^3) + g2^18*t^7.82 + (3*g2^4*t^7.83)/g1^8 + g1^7*g2*t^7.85 + g1^5*g2^8*t^7.92 + g1^3*g2^15*t^7.98 + (g2*t^7.99)/g1^5 + (g2^8*t^8.06)/g1^7 + g1^6*g2^12*t^8.14 + t^8.16/(g1^2*g2^2) + (3*g2^5*t^8.22)/g1^4 + (g2^12*t^8.28)/g1^6 + t^8.3/(g1^14*g2^2) + g1^9*g2^9*t^8.3 - (2*g1*t^8.32)/g2^5 + (g2^2*t^8.38)/g1 + (g2^9*t^8.44)/g1^3 + (g2^2*t^8.52)/g1^13 - (g1^2*t^8.54)/g2 + 2*g2^6*t^8.61 + (3*t^8.62)/(g1^8*g2^8) + (g2^13*t^8.67)/g1^2 + t^8.68/(g1^10*g2) + (g2^6*t^8.75)/g1^12 - g1^3*g2^3*t^8.77 + 2*g1*g2^10*t^8.83 + t^8.85/(g1^7*g2^4) + (g2^3*t^8.91)/g1^9 - g1^6*t^8.93 + 2*g1^4*g2^7*t^8.99 - t^4.08/(g1*g2*y) - (g2^2*t^5.38)/(g1*y) - (g1^2*t^5.54)/(g2*y) - (2*t^6.23)/(g1^3*g2^3*y) - (g2*t^6.46)/(g1^2*y) - (g2^5*t^6.68)/(g1*y) - (g1^2*g2^2*t^6.84)/y - t^7.15/(g1^7*g2*y) - t^7.54/(g1^3*y) - t^7.7/(g2^3*y) - (g1^2*g2^5*t^8.15)/y + t^8.23/(g1^8*g2^2*y) - (g1^5*g2^2*t^8.31)/y + (g1^3*g2^9*t^8.37)/y - (3*t^8.39)/(g1^5*g2^5*y) - t^8.61/(g1^4*g2*y) + (g2^6*t^8.68)/(g1^6*y) + t^8.77/(g1*g2^4*y) - (2*g2^3*t^8.84)/(g1^3*y) - (t^4.08*y)/(g1*g2) - (g2^2*t^5.38*y)/g1 - (g1^2*t^5.54*y)/g2 - (2*t^6.23*y)/(g1^3*g2^3) - (g2*t^6.46*y)/g1^2 - (g2^5*t^6.68*y)/g1 - g1^2*g2^2*t^6.84*y - (t^7.15*y)/(g1^7*g2) - (t^7.54*y)/g1^3 - (t^7.7*y)/g2^3 - g1^2*g2^5*t^8.15*y + (t^8.23*y)/(g1^8*g2^2) - g1^5*g2^2*t^8.31*y + g1^3*g2^9*t^8.37*y - (3*t^8.39*y)/(g1^5*g2^5) - (t^8.61*y)/(g1^4*g2) + (g2^6*t^8.68*y)/g1^6 + (t^8.77*y)/(g1*g2^4) - (2*g2^3*t^8.84*y)/g1^3 |
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 |
|---|---|---|---|---|---|---|---|---|
| 45087 | $M_1\phi_1^2q_1$ + $ M_2q_1^2$ + $ M_1M_2$ | 1.7991 | 1.9156 | 0.9392 | [X:[], M:[0.8362, 1.1638], q:[0.4181, 0.4633], qb:[], phi:[0.3729]] | t^2.24 + t^2.51 + t^2.64 + t^2.78 + t^3.49 + t^3.63 + t^3.76 + 2*t^4.47 + 2*t^4.75 + 2*t^4.88 + 3*t^5.02 + t^5.15 + 2*t^5.29 + t^5.42 + t^5.56 + t^5.73 + t^6. - t^4.12/y - t^5.37/y - t^5.51/y - t^4.12*y - t^5.37*y - t^5.51*y | detail | |
| 45041 | $M_1\phi_1^2q_1$ + $ M_2q_1^2$ + $ M_2q_2^2$ | 1.809 | 1.9277 | 0.9384 | [X:[], M:[0.82, 1.0802], q:[0.4599, 0.4599], qb:[], phi:[0.3601]] | t^2.16 + t^2.46 + 2*t^2.76 + t^3.24 + t^3.54 + t^3.84 + 2*t^4.32 + t^4.62 + 6*t^4.92 + 2*t^5.22 + t^5.4 + 3*t^5.52 + 2*t^5.7 + t^6. - t^4.08/y - (2*t^5.46)/y - t^4.08*y - 2*t^5.46*y | detail | |
| 45046 | $M_1\phi_1^2q_1$ + $ M_2q_1^2$ + $ M_3\phi_1^2$ | 1.7922 | 1.8987 | 0.9439 | [X:[], M:[0.7928, 1.0298, 1.278], q:[0.4851, 0.4318], qb:[], phi:[0.361]] | t^2.38 + t^2.59 + t^2.75 + t^3.09 + t^3.46 + 2*t^3.83 + t^4.33 + 2*t^4.76 + t^4.92 + t^4.97 + t^5.08 + t^5.13 + t^5.18 + t^5.34 + t^5.47 + t^5.5 + t^5.68 + t^5.84 - t^6. - t^4.08/y - t^5.38/y - t^5.54/y - t^4.08*y - t^5.38*y - t^5.54*y | detail | |
| 45070 | $M_1\phi_1^2q_1$ + $ M_2q_1^2$ + $ q_1^2q_2^2$ + $ \phi_1^2X_1$ | 1.7811 | 1.8803 | 0.9473 | [X:[1.3333], M:[0.8045, 0.9423], q:[0.5288, 0.4712], qb:[], phi:[0.3333]] | t^2.41 + 2*t^2.83 + t^3. + t^3.41 + 3*t^4. + 2*t^4.83 + t^5. + t^5.17 + 2*t^5.24 + t^5.41 + 3*t^5.65 + 2*t^5.83 - t^4./y - t^5.41/y - t^5.59/y - t^6./y - t^4.*y - t^5.41*y - t^5.59*y - t^6.*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 |
|---|---|---|---|---|---|---|---|---|---|
| 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 |