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 |
|---|---|---|---|---|---|---|---|---|---|
| 44945 | SO5adj1nf2 | $M_1\phi_1^2q_1$ + $ q_1^3q_2$ | 1.8057 | 1.9263 | 0.9374 | [X:[], M:[0.7935], q:[0.5171, 0.4487], qb:[], phi:[0.3447]] | [X:[], M:[[7]], q:[[-3], [9]], qb:[], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^2$, $ M_1$, $ q_2^2$, $ q_1q_2$, $ q_1^2$, $ \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_1q_1^2$, $ \phi_1^4q_2$, $ q_1q_2^3$, $ q_1^2q_2^2$ | $2\phi_1^3q_1q_2$ | 1 | t^2.07 + t^2.38 + t^2.69 + t^2.9 + t^3.1 + t^3.41 + t^3.93 + 2*t^4.14 + t^4.45 + 3*t^4.76 + 2*t^4.97 + t^5.07 + 2*t^5.17 + t^5.28 + t^5.38 + 2*t^5.48 + t^5.59 + 2*t^5.79 + t^6. + t^6.11 + 2*t^6.21 + 2*t^6.31 + 2*t^6.52 + t^6.62 - t^6.72 + 5*t^6.83 + 3*t^7.03 + 3*t^7.14 + 2*t^7.24 + 3*t^7.35 + 3*t^7.45 + 4*t^7.55 + 4*t^7.66 + t^7.77 + 5*t^7.86 + t^7.97 + 3*t^8.07 + t^8.08 + 4*t^8.18 + 3*t^8.27 + t^8.28 + 2*t^8.38 + 2*t^8.49 + 2*t^8.59 + 3*t^8.69 - t^8.79 + t^8.8 + 5*t^8.9 - t^4.03/y - t^5.38/y - t^5.59/y - (2*t^6.1)/y - t^6.41/y - t^6.73/y - t^6.93/y - t^7.14/y - t^7.45/y - t^7.65/y - (2*t^8.17)/y - t^8.28/y - t^8.48/y + t^8.59/y - (2*t^8.79)/y - t^4.03*y - t^5.38*y - t^5.59*y - 2*t^6.1*y - t^6.41*y - t^6.73*y - t^6.93*y - t^7.14*y - t^7.45*y - t^7.65*y - 2*t^8.17*y - t^8.28*y - t^8.48*y + t^8.59*y - 2*t^8.79*y | t^2.07/g1^4 + g1^7*t^2.38 + g1^18*t^2.69 + g1^6*t^2.9 + t^3.1/g1^6 + g1^5*t^3.41 + g1^4*t^3.93 + (2*t^4.14)/g1^8 + g1^3*t^4.45 + 3*g1^14*t^4.76 + 2*g1^2*t^4.97 + g1^25*t^5.07 + (2*t^5.17)/g1^10 + g1^13*t^5.28 + g1^36*t^5.38 + 2*g1*t^5.48 + g1^24*t^5.59 + 2*g1^12*t^5.79 + t^6. + g1^23*t^6.11 + (2*t^6.21)/g1^12 + 2*g1^11*t^6.31 + (2*t^6.52)/g1 + g1^22*t^6.62 - t^6.72/g1^13 + 5*g1^10*t^6.83 + (3*t^7.03)/g1^2 + 3*g1^21*t^7.14 + (2*t^7.24)/g1^14 + 3*g1^9*t^7.35 + 3*g1^32*t^7.45 + (4*t^7.55)/g1^3 + 4*g1^20*t^7.66 + g1^43*t^7.77 + 5*g1^8*t^7.86 + g1^31*t^7.97 + (3*t^8.07)/g1^4 + g1^54*t^8.08 + 4*g1^19*t^8.18 + (3*t^8.27)/g1^16 + g1^42*t^8.28 + 2*g1^7*t^8.38 + 2*g1^30*t^8.49 + (2*t^8.59)/g1^5 + 3*g1^18*t^8.69 - t^8.79/g1^17 + g1^41*t^8.8 + 5*g1^6*t^8.9 - t^4.03/(g1^2*y) - (g1^7*t^5.38)/y - t^5.59/(g1^5*y) - (2*t^6.1)/(g1^6*y) - (g1^5*t^6.41)/y - (g1^16*t^6.73)/y - (g1^4*t^6.93)/y - t^7.14/(g1^8*y) - (g1^3*t^7.45)/y - t^7.65/(g1^9*y) - (2*t^8.17)/(g1^10*y) - (g1^13*t^8.28)/y - (g1*t^8.48)/y + (g1^24*t^8.59)/y - (2*g1^12*t^8.79)/y - (t^4.03*y)/g1^2 - g1^7*t^5.38*y - (t^5.59*y)/g1^5 - (2*t^6.1*y)/g1^6 - g1^5*t^6.41*y - g1^16*t^6.73*y - g1^4*t^6.93*y - (t^7.14*y)/g1^8 - g1^3*t^7.45*y - (t^7.65*y)/g1^9 - (2*t^8.17*y)/g1^10 - g1^13*t^8.28*y - g1*t^8.48*y + g1^24*t^8.59*y - 2*g1^12*t^8.79*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 |
|---|---|---|---|---|---|---|---|---|
| 44993 | $M_1\phi_1^2q_1$ + $ q_1^3q_2$ + $ M_1q_1q_2$ + $ \phi_1^2X_1$ | 1.711 | 1.7879 | 0.957 | [X:[1.3846], M:[0.9231], q:[0.4615, 0.6154], qb:[], phi:[0.3077]] | 2*t^2.77 + t^3.23 + 3*t^3.69 + 2*t^4.15 + t^4.62 + t^5.08 + 3*t^5.54 - t^3.92/y - t^5.31/y - (2*t^5.77)/y - t^3.92*y - t^5.31*y - 2*t^5.77*y | detail | {a: 3759/2197, c: 3928/2197, X1: 18/13, M1: 12/13, q1: 6/13, q2: 8/13, phi1: 4/13} |
| 45033 | $M_1\phi_1^2q_1$ + $ q_1^3q_2$ + $ M_1q_2^2$ + $ \phi_1^2X_1$ | 1.7508 | 1.8358 | 0.9537 | [X:[1.36], M:[0.88], q:[0.48, 0.56], qb:[], phi:[0.32]] | t^2.64 + t^2.88 + t^3.12 + t^3.36 + t^3.6 + t^3.84 + 2*t^4.08 + t^4.8 + t^5.04 + 2*t^5.28 + t^5.52 + t^5.76 + t^6. - t^3.96/y - t^5.4/y - t^5.64/y - t^5.88/y - t^3.96*y - t^5.4*y - t^5.64*y - t^5.88*y | detail | {a: 218847/125000, c: 28684/15625, X1: 34/25, M1: 22/25, q1: 12/25, q2: 14/25, phi1: 8/25} |
| 45045 | $M_1\phi_1^2q_1$ + $ q_1^3q_2$ + $ M_2\phi_1q_1q_2$ | 1.8264 | 1.9663 | 0.9288 | [X:[], M:[0.7942, 0.689], q:[0.5168, 0.4496], qb:[], phi:[0.3445]] | 2*t^2.07 + t^2.38 + t^2.7 + t^2.9 + t^3.1 + t^3.42 + 4*t^4.13 + 2*t^4.45 + 4*t^4.77 + 3*t^4.97 + t^5.08 + 3*t^5.17 + t^5.28 + t^5.4 + 3*t^5.48 + t^5.6 + 2*t^5.8 - t^4.03/y - t^5.38/y - t^5.58/y - t^4.03*y - t^5.38*y - t^5.58*y | detail | |
| 45061 | $M_1\phi_1^2q_1$ + $ q_1^3q_2$ + $ M_2\phi_1^2$ | 1.785 | 1.8864 | 0.9463 | [X:[], M:[0.7927, 1.3101], q:[0.5174, 0.4478], qb:[], phi:[0.3449]] | t^2.38 + t^2.69 + t^2.9 + t^3.1 + t^3.41 + 2*t^3.93 + t^4.14 + 2*t^4.76 + t^4.97 + t^5.06 + t^5.17 + t^5.27 + t^5.37 + t^5.48 + t^5.58 + 2*t^5.79 - t^4.03/y - t^5.38/y - t^5.59/y - t^4.03*y - t^5.38*y - t^5.59*y | detail | |
| 45084 | $M_1\phi_1^2q_1$ + $ q_1^3q_2$ + $ M_2q_1q_2$ | 1.8028 | 1.9205 | 0.9387 | [X:[], M:[0.8018, 1.0271], q:[0.5135, 0.4594], qb:[], phi:[0.3424]] | t^2.05 + t^2.41 + t^2.76 + 2*t^3.08 + t^3.43 + t^3.95 + 2*t^4.11 + t^4.46 + 3*t^4.81 + t^4.97 + 3*t^5.14 + t^5.16 + 3*t^5.49 + t^5.51 + 2*t^5.84 - t^4.03/y - t^5.41/y - t^5.57/y - t^4.03*y - t^5.41*y - t^5.57*y | detail | |
| 45022 | $M_1\phi_1^2q_1$ + $ q_1^3q_2$ + $ M_2q_1^2$ | 1.8092 | 1.9336 | 0.9356 | [X:[], M:[0.7853, 0.9589], q:[0.5206, 0.4383], qb:[], phi:[0.347]] | t^2.08 + t^2.36 + t^2.63 + 2*t^2.88 + t^3.4 + t^3.92 + 2*t^4.16 + t^4.44 + 3*t^4.71 + 3*t^4.96 + t^4.99 + t^5.21 + 2*t^5.23 + t^5.26 + t^5.48 + 2*t^5.51 + 3*t^5.75 - t^4.04/y - t^5.36/y - t^5.6/y - t^4.04*y - t^5.36*y - t^5.6*y | detail | |
| 45075 | $M_1\phi_1^2q_1$ + $ q_1^3q_2$ + $ q_2^2$ + $ \phi_1^2X_1$ + $ q_1^2X_2$ | 1.1343 | 1.1343 | 1 | [X:[1.5556, 1.3333], M:[1.2222], q:[0.3333, 1.0], qb:[], phi:[0.2222]] | t^2.67 + t^3.33 + t^3.67 + t^4. + t^4.67 + t^5.33 - t^3.67/y - t^4.67/y - t^5./y - t^3.67*y - t^4.67*y - t^5.*y | detail | {a: 245/216, c: 245/216, X1: 14/9, X2: 4/3, M1: 11/9, q1: 1/3, q2: 1, phi1: 2/9} |
| 45003 | $M_1\phi_1^2q_1$ + $ q_1^3q_2$ + $ q_2^4$ + $ \phi_1^2X_1$ | 1.7773 | 1.8711 | 0.9499 | [X:[1.3333], M:[0.8333], q:[0.5, 0.5], qb:[], phi:[0.3333]] | t^2.5 + 3*t^3. + t^3.5 + 3*t^4. + 4*t^5. + 3*t^5.5 + 4*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: 455/256, c: 479/256, X1: 4/3, M1: 5/6, q1: 1/2, q2: 1/2, phi1: 1/3} |
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 |