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 |
|---|---|---|---|---|---|---|---|---|---|
| 45057 | SO5adj1nf2 | $M_1\phi_1^2q_1$ + $ M_2\phi_1^2q_2$ + $ M_2q_1^2$ | 1.8013 | 1.9303 | 0.9332 | [X:[], M:[0.76, 0.896], q:[0.552, 0.416], qb:[], phi:[0.344]] | [X:[], M:[[5], [-2]], q:[[1], [8]], qb:[], phi:[[-3]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^2$, $ M_1$, $ q_2^2$, $ M_2$, $ q_1q_2$, $ q_1^2$, $ \phi_1q_1q_2$, $ \phi_1^4$, $ M_1\phi_1^2$, $ M_1^2$, $ \phi_1^2q_2^2$, $ M_2\phi_1^2$, $ M_1q_2^2$, $ M_1M_2$, $ \phi_1^2q_1q_2$, $ q_2^4$, $ M_1q_1q_2$, $ M_2q_2^2$, $ M_2^2$, $ \phi_1^2q_1^2$, $ q_1q_2^3$, $ M_1q_1^2$, $ M_2q_1q_2$, $ q_1^2q_2^2$ | $2\phi_1^3q_1q_2$ | 1 | t^2.06 + t^2.28 + t^2.5 + t^2.69 + t^2.9 + t^3.31 + t^3.94 + 2*t^4.13 + t^4.34 + 3*t^4.56 + t^4.75 + t^4.78 + 3*t^4.97 + t^4.99 + 2*t^5.18 + 3*t^5.38 + t^5.4 + t^5.59 + 2*t^5.81 + t^6. + 2*t^6.19 + 2*t^6.22 + t^6.43 + 5*t^6.62 + t^6.82 + 4*t^6.84 + 3*t^7.03 + 3*t^7.06 + 6*t^7.25 + t^7.27 + 3*t^7.44 + 5*t^7.46 + t^7.49 + 3*t^7.66 + 2*t^7.68 + 7*t^7.87 + t^7.9 + 3*t^8.06 + 2*t^8.09 + 3*t^8.26 + 3*t^8.28 + 2*t^8.3 - t^8.47 + 3*t^8.5 + 4*t^8.69 + 3*t^8.71 + t^8.88 + 3*t^8.9 + t^8.93 - t^4.03/y - t^5.28/y - t^5.69/y - (2*t^6.1)/y - t^6.31/y - t^6.53/y - t^6.72/y - t^6.94/y - t^7.34/y - (3*t^8.16)/y - t^8.38/y + t^8.4/y - (3*t^8.59)/y - t^8.78/y - t^4.03*y - t^5.28*y - t^5.69*y - 2*t^6.1*y - t^6.31*y - t^6.53*y - t^6.72*y - t^6.94*y - t^7.34*y - 3*t^8.16*y - t^8.38*y + t^8.4*y - 3*t^8.59*y - t^8.78*y | t^2.06/g1^6 + g1^5*t^2.28 + g1^16*t^2.5 + t^2.69/g1^2 + g1^9*t^2.9 + g1^2*t^3.31 + g1^6*t^3.94 + (2*t^4.13)/g1^12 + t^4.34/g1 + 3*g1^10*t^4.56 + t^4.75/g1^8 + g1^21*t^4.78 + 3*g1^3*t^4.97 + g1^32*t^4.99 + 2*g1^14*t^5.18 + (3*t^5.38)/g1^4 + g1^25*t^5.4 + g1^7*t^5.59 + 2*g1^18*t^5.81 + t^6. + (2*t^6.19)/g1^18 + 2*g1^11*t^6.22 + g1^22*t^6.43 + 5*g1^4*t^6.62 + t^6.82/g1^14 + 4*g1^15*t^6.84 + (3*t^7.03)/g1^3 + 3*g1^26*t^7.06 + 6*g1^8*t^7.25 + g1^37*t^7.27 + (3*t^7.44)/g1^10 + 5*g1^19*t^7.46 + g1^48*t^7.49 + 3*g1*t^7.66 + 2*g1^30*t^7.68 + 7*g1^12*t^7.87 + g1^41*t^7.9 + (3*t^8.06)/g1^6 + 2*g1^23*t^8.09 + (3*t^8.26)/g1^24 + 3*g1^5*t^8.28 + 2*g1^34*t^8.3 - t^8.47/g1^13 + 3*g1^16*t^8.5 + (4*t^8.69)/g1^2 + 3*g1^27*t^8.71 + t^8.88/g1^20 + 3*g1^9*t^8.9 + g1^38*t^8.93 - t^4.03/(g1^3*y) - (g1^5*t^5.28)/y - t^5.69/(g1^2*y) - (2*t^6.1)/(g1^9*y) - (g1^2*t^6.31)/y - (g1^13*t^6.53)/y - t^6.72/(g1^5*y) - (g1^6*t^6.94)/y - t^7.34/(g1*y) - (3*t^8.16)/(g1^15*y) - t^8.38/(g1^4*y) + (g1^25*t^8.4)/y - (3*g1^7*t^8.59)/y - t^8.78/(g1^11*y) - (t^4.03*y)/g1^3 - g1^5*t^5.28*y - (t^5.69*y)/g1^2 - (2*t^6.1*y)/g1^9 - g1^2*t^6.31*y - g1^13*t^6.53*y - (t^6.72*y)/g1^5 - g1^6*t^6.94*y - (t^7.34*y)/g1 - (3*t^8.16*y)/g1^15 - (t^8.38*y)/g1^4 + g1^25*t^8.4*y - 3*g1^7*t^8.59*y - (t^8.78*y)/g1^11 |
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 |
|---|---|---|---|---|---|---|---|---|
| 45233 | $M_1\phi_1^2q_1$ + $ M_2\phi_1^2q_2$ + $ M_2q_1^2$ + $ M_2M_3$ | 1.7919 | 1.9149 | 0.9358 | [X:[], M:[0.7581, 0.8968, 1.1032], q:[0.5516, 0.4129], qb:[], phi:[0.3452]] | t^2.07 + t^2.27 + t^2.48 + t^2.89 + 2*t^3.31 + t^3.93 + 2*t^4.14 + t^4.35 + 3*t^4.55 + t^4.75 + t^4.95 + 2*t^4.96 + t^5.17 + t^5.37 + 3*t^5.38 + t^5.58 + 3*t^5.79 - t^4.04/y - t^5.27/y - t^5.69/y - t^4.04*y - t^5.27*y - t^5.69*y | detail | |
| 45185 | $M_1\phi_1^2q_1$ + $ M_2\phi_1^2q_2$ + $ M_2q_1^2$ + $ M_3\phi_1q_1q_2$ | 1.822 | 1.9704 | 0.9247 | [X:[], M:[0.7608, 0.8957, 0.687], q:[0.5522, 0.4173], qb:[], phi:[0.3435]] | 2*t^2.06 + t^2.28 + t^2.5 + t^2.69 + t^2.91 + t^3.31 + 4*t^4.12 + 2*t^4.34 + 4*t^4.56 + 2*t^4.75 + t^4.79 + 4*t^4.97 + t^5.01 + 2*t^5.19 + 4*t^5.37 + t^5.41 + t^5.6 + 2*t^5.82 - t^4.03/y - t^5.28/y - t^5.69/y - t^4.03*y - t^5.28*y - t^5.69*y | detail | |
| 45226 | $M_1\phi_1^2q_1$ + $ M_2\phi_1^2q_2$ + $ M_2q_1^2$ + $ M_3q_1q_2$ | 1.7991 | 1.925 | 0.9346 | [X:[], M:[0.7699, 0.892, 1.0142], q:[0.554, 0.4319], qb:[], phi:[0.3381]] | t^2.03 + t^2.31 + t^2.59 + t^2.68 + t^3.04 + t^3.32 + t^3.97 + 2*t^4.06 + t^4.34 + 3*t^4.62 + t^4.7 + t^4.9 + 2*t^4.99 + t^5.07 + t^5.18 + t^5.27 + 4*t^5.35 + t^5.63 + t^5.72 + t^5.92 + t^6. - t^4.01/y - t^5.31/y - t^5.68/y - t^4.01*y - t^5.31*y - t^5.68*y | detail | |
| 45251 | $M_1\phi_1^2q_1$ + $ M_2\phi_1^2q_2$ + $ M_2q_1^2$ + $ M_3q_1^2$ | 1.8108 | 1.9459 | 0.9306 | [X:[], M:[0.762, 0.8952, 0.8952], q:[0.5524, 0.4192], qb:[], phi:[0.3428]] | t^2.06 + t^2.29 + t^2.52 + 2*t^2.69 + t^2.91 + t^3.94 + 2*t^4.11 + t^4.34 + 3*t^4.57 + 2*t^4.74 + t^4.8 + 4*t^4.97 + t^5.03 + 3*t^5.2 + 4*t^5.37 + t^5.43 + t^5.6 + t^5.83 - t^4.03/y - t^5.29/y - t^5.69/y - t^4.03*y - t^5.29*y - t^5.69*y | detail | |
| 45246 | $M_1\phi_1^2q_1$ + $ M_2\phi_1^2q_2$ + $ M_2q_1^2$ + $ M_3q_2^2$ | 1.7886 | 1.9067 | 0.9381 | [X:[], M:[0.7755, 0.8898, 1.1184], q:[0.5551, 0.4408], qb:[], phi:[0.3347]] | t^2.01 + t^2.33 + t^2.67 + t^2.99 + t^3.33 + t^3.36 + t^3.99 + 2*t^4.02 + t^4.33 + 2*t^4.65 + t^4.68 + 3*t^5. + t^5.31 + 3*t^5.34 + t^5.36 + t^5.66 + t^5.68 + t^5.98 + t^6. - t^4./y - t^5.33/y - t^5.67/y - t^4.*y - t^5.33*y - t^5.67*y | detail | |
| 45245 | $M_1\phi_1^2q_1$ + $ M_2\phi_1^2q_2$ + $ M_2q_1^2$ + $ q_1q_2^3$ + $ \phi_1^2X_1$ | 1.7673 | 1.8648 | 0.9477 | [X:[1.36], M:[0.8, 0.88], q:[0.56, 0.48], qb:[], phi:[0.32]] | t^2.4 + t^2.64 + t^2.88 + t^3.12 + t^3.36 + t^3.84 + 2*t^4.08 + 2*t^4.8 + 2*t^5.04 + 3*t^5.28 + 2*t^5.52 + 2*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: 441819/250000, c: 233097/125000, X1: 34/25, M1: 4/5, M2: 22/25, q1: 14/25, q2: 12/25, phi1: 8/25} |
| 45210 | $M_1\phi_1^2q_1$ + $ M_2\phi_1^2q_2$ + $ M_2q_1^2$ + $ q_2^4$ + $ \phi_1^2X_1$ | 1.7581 | 1.8518 | 0.9494 | [X:[1.375], M:[0.8125, 0.875], q:[0.5625, 0.5], qb:[], phi:[0.3125]] | t^2.44 + t^2.62 + t^3. + t^3.19 + t^3.38 + t^3.75 + 2*t^4.12 + 2*t^4.88 + 2*t^5.06 + 2*t^5.25 + t^5.44 + 2*t^5.62 + t^5.81 + t^6. - t^3.94/y - t^5.44/y - t^5.62/y - t^5.81/y - t^3.94*y - t^5.44*y - t^5.62*y - t^5.81*y | detail | {a: 57609/32768, c: 60681/32768, X1: 11/8, M1: 13/16, M2: 7/8, q1: 9/16, q2: 1/2, phi1: 5/16} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 44936 | SO5adj1nf2 | $M_1\phi_1^2q_1$ + $ M_2\phi_1^2q_2$ | 1.833 | 1.9716 | 0.9297 | [X:[], M:[0.8153, 0.8153], q:[0.4458, 0.4458], qb:[], phi:[0.3695]] | t^2.22 + 2*t^2.45 + 3*t^2.67 + t^3.78 + 2*t^4.43 + 2*t^4.66 + 9*t^4.89 + 6*t^5.12 + 6*t^5.35 - 2*t^6. - t^4.11/y - (2*t^5.45)/y - t^4.11*y - 2*t^5.45*y | detail |