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 |
|---|---|---|---|---|---|---|---|---|---|
| 44917 | SO5adj1nf2 | . | 1.802 | 1.9168 | 0.9401 | [X:[], M:[], q:[0.4488, 0.4488], qb:[], phi:[0.3674]] | [X:[], M:[], q:[[3, 0], [0, 3]], qb:[], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^2$, $ q_1^2$, $ q_1q_2$, $ q_2^2$, $ \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$, $ q_1^4$, $ q_1^3q_2$, $ q_1^2q_2^2$, $ q_1q_2^3$, $ q_2^4$, $ \phi_1^4q_1$, $ \phi_1^4q_2$ | $2\phi_1^3q_1q_2$ | -2 | 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. + 6*t^6.24 + 3*t^6.49 + 2*t^6.61 - 2*t^6.86 + 9*t^7.1 + 2*t^7.35 + 15*t^7.59 + 4*t^7.96 + 10*t^8.08 - 4*t^8.2 + 10*t^8.45 - 6*t^8.69 + 3*t^8.82 + 12*t^8.94 - t^4.1/y - (2*t^5.45)/y - (2*t^6.31)/y - (3*t^6.8)/y - (4*t^7.65)/y + (3*t^7.9)/y - (6*t^8.14)/y + (3*t^8.39)/y - (3*t^8.51)/y + (4*t^8.76)/y - t^4.1*y - 2*t^5.45*y - 2*t^6.31*y - 3*t^6.8*y - 4*t^7.65*y + 3*t^7.9*y - 6*t^8.14*y + 3*t^8.39*y - 3*t^8.51*y + 4*t^8.76*y | t^2.2/(g1^2*g2^2) + g1^6*t^2.69 + g1^3*g2^3*t^2.69 + g2^6*t^2.69 + (g1*t^3.55)/g2^2 + (g2*t^3.55)/g1^2 + g1^2*g2^2*t^3.8 + (2*t^4.41)/(g1^4*g2^4) + (2*g1^4*t^4.9)/g2^2 + 2*g1*g2*t^4.9 + (2*g2^4*t^4.9)/g1^2 + g1^12*t^5.39 + g1^9*g2^3*t^5.39 + 2*g1^6*g2^6*t^5.39 + g1^3*g2^9*t^5.39 + g2^12*t^5.39 + t^5.76/(g1*g2^4) + t^5.76/(g1^4*g2) - (g1^3*t^6.)/g2^3 - (g2^3*t^6.)/g1^3 + (g1^7*t^6.24)/g2^2 + 2*g1^4*g2*t^6.24 + 2*g1*g2^4*t^6.24 + (g2^7*t^6.24)/g1^2 + g1^8*g2^2*t^6.49 + g1^5*g2^5*t^6.49 + g1^2*g2^8*t^6.49 + (2*t^6.61)/(g1^6*g2^6) - t^6.86/(g1^2*g2^5) - t^6.86/(g1^5*g2^2) + (3*g1^2*t^7.1)/g2^4 + (3*t^7.1)/(g1*g2) + (3*g2^2*t^7.1)/g1^4 + g1^3*t^7.35 + g2^3*t^7.35 + (2*g1^10*t^7.59)/g2^2 + 3*g1^7*g2*t^7.59 + 5*g1^4*g2^4*t^7.59 + 3*g1*g2^7*t^7.59 + (2*g2^10*t^7.59)/g1^2 + (2*t^7.96)/(g1^3*g2^6) + (2*t^7.96)/(g1^6*g2^3) + g1^18*t^8.08 + g1^15*g2^3*t^8.08 + 2*g1^12*g2^6*t^8.08 + 2*g1^9*g2^9*t^8.08 + 2*g1^6*g2^12*t^8.08 + g1^3*g2^15*t^8.08 + g2^18*t^8.08 - (2*g1*t^8.2)/g2^5 - (2*g2*t^8.2)/g1^5 + (2*g1^5*t^8.45)/g2^4 + (3*g1^2*t^8.45)/g2 + (3*g2^2*t^8.45)/g1 + (2*g2^5*t^8.45)/g1^4 - g1^6*t^8.69 - (g1^9*t^8.69)/g2^3 - 2*g1^3*g2^3*t^8.69 - g2^6*t^8.69 - (g2^9*t^8.69)/g1^3 + (3*t^8.82)/(g1^8*g2^8) + (g1^13*t^8.94)/g2^2 + 2*g1^10*g2*t^8.94 + 3*g1^7*g2^4*t^8.94 + 3*g1^4*g2^7*t^8.94 + 2*g1*g2^10*t^8.94 + (g2^13*t^8.94)/g1^2 - t^4.1/(g1*g2*y) - (g1^2*t^5.45)/(g2*y) - (g2^2*t^5.45)/(g1*y) - (2*t^6.31)/(g1^3*g2^3*y) - (g1^5*t^6.8)/(g2*y) - (g1^2*g2^2*t^6.8)/y - (g2^5*t^6.8)/(g1*y) - (2*t^7.65)/(g1^3*y) - (2*t^7.65)/(g2^3*y) + (g1^4*t^7.9)/(g2^2*y) + (g1*g2*t^7.9)/y + (g2^4*t^7.9)/(g1^2*y) - (g1^8*t^8.14)/(g2*y) - (2*g1^5*g2^2*t^8.14)/y - (2*g1^2*g2^5*t^8.14)/y - (g2^8*t^8.14)/(g1*y) + (g1^9*g2^3*t^8.39)/y + (g1^6*g2^6*t^8.39)/y + (g1^3*g2^9*t^8.39)/y - (3*t^8.51)/(g1^5*g2^5*y) + (2*t^8.76)/(g1*g2^4*y) + (2*t^8.76)/(g1^4*g2*y) - (t^4.1*y)/(g1*g2) - (g1^2*t^5.45*y)/g2 - (g2^2*t^5.45*y)/g1 - (2*t^6.31*y)/(g1^3*g2^3) - (g1^5*t^6.8*y)/g2 - g1^2*g2^2*t^6.8*y - (g2^5*t^6.8*y)/g1 - (2*t^7.65*y)/g1^3 - (2*t^7.65*y)/g2^3 + (g1^4*t^7.9*y)/g2^2 + g1*g2*t^7.9*y + (g2^4*t^7.9*y)/g1^2 - (g1^8*t^8.14*y)/g2 - 2*g1^5*g2^2*t^8.14*y - 2*g1^2*g2^5*t^8.14*y - (g2^8*t^8.14*y)/g1 + g1^9*g2^3*t^8.39*y + g1^6*g2^6*t^8.39*y + g1^3*g2^9*t^8.39*y - (3*t^8.51*y)/(g1^5*g2^5) + (2*t^8.76*y)/(g1*g2^4) + (2*t^8.76*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 |
|---|---|---|---|---|---|---|---|---|
| 44920 | $M_1\phi_1q_1q_2$ | 1.8217 | 1.9527 | 0.9329 | [X:[], M:[0.7308], q:[0.4519, 0.4519], qb:[], phi:[0.3654]] | 2*t^2.19 + 3*t^2.71 + 2*t^3.55 + 4*t^4.38 + 9*t^4.9 + 6*t^5.42 + 4*t^5.74 - 3*t^6. - t^4.1/y - (2*t^5.45)/y - t^4.1*y - 2*t^5.45*y | detail | |
| 44918 | $M_1\phi_1^2q_1$ | 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 | $M_1\phi_1^2$ | 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 | |
| 44923 | $M_1q_1q_2$ | 1.7938 | 1.9011 | 0.9435 | [X:[], M:[1.0769], q:[0.4615, 0.4615], qb:[], phi:[0.359]] | 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 - t^4.08/y - (2*t^5.46)/y - t^4.08*y - 2*t^5.46*y | detail | {a: 14551/8112, c: 7711/4056, M1: 14/13, q1: 6/13, q2: 6/13, phi1: 14/39} |
| 44927 | $M_1q_1^2$ | 1.7956 | 1.9054 | 0.9423 | [X:[], M:[1.0344], q:[0.4828, 0.4419], qb:[], phi:[0.3584]] | t^2.15 + t^2.65 + t^2.77 + t^3.1 + t^3.48 + t^3.6 + t^3.85 + 2*t^4.3 + 2*t^4.8 + 2*t^4.92 + t^5.05 + t^5.25 + t^5.3 + t^5.43 + t^5.55 + t^5.63 + 2*t^5.75 - t^4.08/y - t^5.4/y - t^5.52/y - t^4.08*y - t^5.4*y - t^5.52*y | detail | |
| 44921 | $\phi_1^2q_1^2$ + $ \phi_1^2X_1$ + $ q_2^2X_2$ | 1.625 | 1.6875 | 0.963 | [X:[1.3333, 1.3333], M:[], q:[0.6667, 0.3333], qb:[], phi:[0.3333]] | 2*t^3. + 7*t^4. + t^6. - t^4./y - t^5./y - (2*t^6.)/y - t^4.*y - t^5.*y - 2*t^6.*y | detail | {a: 13/8, c: 27/16, X1: 4/3, X2: 4/3, q1: 2/3, q2: 1/3, phi1: 1/3} |
| 44926 | $\phi_1^4q_1$ | 1.7908 | 1.9123 | 0.9365 | [X:[], M:[], q:[0.445, 0.3887], qb:[], phi:[0.3887]] | 2*t^2.33 + t^2.5 + t^2.67 + t^3.5 + 2*t^3.67 + 5*t^4.66 + 3*t^4.83 + 4*t^5. + t^5.17 + t^5.34 + t^5.83 + 4*t^6. - t^4.17/y - t^5.33/y - t^5.5/y - t^4.17*y - t^5.33*y - t^5.5*y | detail | |
| 44929 | $\phi_1^4$ + $ q_1^2X_1$ + $ q_1q_2X_2$ + $ q_2^2X_3$ | 1.4736 | 1.5361 | 0.9593 | [X:[1.5, 1.5, 1.5], M:[], q:[0.25, 0.25], qb:[], phi:[0.5]] | 2*t^3. + 2*t^3.75 + 6*t^4.5 - t^4.5/y - (2*t^5.25)/y - t^4.5*y - 2*t^5.25*y | detail | {a: 1509/1024, c: 1573/1024, X1: 3/2, X2: 3/2, X3: 3/2, q1: 1/4, q2: 1/4, phi1: 1/2} |
| 44925 | $q_1^2q_2^2$ + $ \phi_1^2X_1$ | 1.763 | 1.8464 | 0.9549 | [X:[1.3333], M:[], q:[0.5, 0.5], qb:[], phi:[0.3333]] | 3*t^3. + 2*t^3.5 + 3*t^4. + 3*t^5. + 3*t^6. - t^4./y - (2*t^5.5)/y - t^6./y - t^4.*y - 2*t^5.5*y - t^6.*y | detail | {a: 677/384, c: 709/384, X1: 4/3, q1: 1/2, q2: 1/2, phi1: 1/3} |
| 44924 | $q_1^2$ + $ \phi_1^2X_1$ | 1.1741 | 1.206 | 0.9736 | [X:[1.5686], M:[], q:[1.0, 0.3528], qb:[], phi:[0.2157]] | t^2.12 + t^2.35 + t^2.59 + t^3.41 + t^4.23 + t^4.47 + 3*t^4.71 + t^4.94 + t^5.18 + t^5.53 + t^5.76 - t^3.65/y - t^4.71/y - t^4.94/y - t^5.76/y - t^6./y - t^3.65*y - t^4.71*y - t^4.94*y - t^5.76*y - t^6.*y | detail | |
| 44922 | $q_1^3q_2$ | 1.789 | 1.8962 | 0.9435 | [X:[], M:[], q:[0.5144, 0.4567], qb:[], phi:[0.343]] | 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. - 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 | |
| 44928 | $q_1^4$ | 1.7948 | 1.9054 | 0.942 | [X:[], M:[], q:[0.5, 0.4384], qb:[], phi:[0.3539]] | t^2.12 + t^2.63 + t^2.82 + t^3. + t^3.44 + t^3.62 + t^3.88 + 2*t^4.25 + 2*t^4.75 + 2*t^4.94 + 2*t^5.12 + t^5.26 + t^5.45 + t^5.56 + 2*t^5.63 + t^5.75 + t^6. - t^4.06/y - t^5.38/y - t^5.56/y - t^4.06*y - t^5.38*y - t^5.56*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 |
|---|