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 |
|---|---|---|---|---|---|---|---|---|---|
| 45543 | SO5adj1nf2 | $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ M_2q_1^2$ + $ \phi_1^2X_1$ + $ M_3\phi_1^4$ + $ M_4q_1q_2$ + $ M_5\phi_1^2q_2$ + $ M_1M_6$ | 1.7789 | 1.889 | 0.9417 | [X:[1.3405], M:[0.8865, 1.092, 0.681, 0.9893, 0.7837, 1.1135], q:[0.454, 0.5567], qb:[], phi:[0.3298]] | [X:[[6]], M:[[-2], [-16], [12], [-9], [5], [2]], q:[[8], [1]], qb:[], phi:[[-3]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_5$, $ M_4$, $ M_2$, $ M_6$, $ q_2^2$, $ \phi_1q_1q_2$, $ X_1$, $ M_3^2$, $ M_3M_5$, $ M_5^2$, $ \phi_1^2q_1^2$, $ M_3M_4$, $ \phi_1^2q_1q_2$, $ M_2M_3$, $ M_4M_5$, $ \phi_1^2q_2^2$, $ M_3M_6$, $ M_3q_2^2$, $ M_2M_5$, $ M_5M_6$, $ M_5q_2^2$, $ M_4^2$ | $\phi_1^3q_1q_2$ | -1 | t^2.04 + t^2.35 + t^2.97 + t^3.28 + 2*t^3.34 + 2*t^4.02 + t^4.09 + t^4.39 + 2*t^4.7 + 2*t^5.01 + 3*t^5.32 + 2*t^5.38 + t^5.63 + t^5.69 + t^5.94 - t^6. + 2*t^6.06 + t^6.13 + t^6.24 + 2*t^6.37 + t^6.44 + t^6.55 + t^6.62 + 2*t^6.68 + 2*t^6.75 + t^6.99 + 4*t^7.05 + t^7.3 + 8*t^7.36 + 2*t^7.43 + 3*t^7.67 + t^7.73 + 3*t^7.98 + 4*t^8.04 + 2*t^8.11 + t^8.17 + 3*t^8.29 + 2*t^8.42 + t^8.48 + 3*t^8.6 + 5*t^8.72 + 2*t^8.79 + 2*t^8.9 - t^8.97 - t^3.99/y - t^5.35/y - t^5.66/y - t^5.97/y - t^6.03/y - t^6.34/y - t^6.96/y - t^7.27/y - (2*t^7.33)/y - (2*t^7.7)/y - (2*t^8.01)/y - t^8.08/y + t^8.32/y + t^8.38/y - t^8.69/y - (2*t^8.94)/y - t^3.99*y - t^5.35*y - t^5.66*y - t^5.97*y - t^6.03*y - t^6.34*y - t^6.96*y - t^7.27*y - 2*t^7.33*y - 2*t^7.7*y - 2*t^8.01*y - t^8.08*y + t^8.32*y + t^8.38*y - t^8.69*y - 2*t^8.94*y | g1^12*t^2.04 + g1^5*t^2.35 + t^2.97/g1^9 + t^3.28/g1^16 + 2*g1^2*t^3.34 + 2*g1^6*t^4.02 + g1^24*t^4.09 + g1^17*t^4.39 + 2*g1^10*t^4.7 + 2*g1^3*t^5.01 + (3*t^5.32)/g1^4 + 2*g1^14*t^5.38 + t^5.63/g1^11 + g1^7*t^5.69 + t^5.94/g1^18 - t^6. + 2*g1^18*t^6.06 + g1^36*t^6.13 + t^6.24/g1^25 + 2*g1^11*t^6.37 + g1^29*t^6.44 + t^6.55/g1^32 + t^6.62/g1^14 + 2*g1^4*t^6.68 + 2*g1^22*t^6.75 + t^6.99/g1^3 + 4*g1^15*t^7.05 + t^7.3/g1^10 + 8*g1^8*t^7.36 + 2*g1^26*t^7.43 + 3*g1*t^7.67 + g1^19*t^7.73 + (3*t^7.98)/g1^6 + 4*g1^12*t^8.04 + 2*g1^30*t^8.11 + g1^48*t^8.17 + (3*t^8.29)/g1^13 + 2*g1^23*t^8.42 + g1^41*t^8.48 + (3*t^8.6)/g1^20 + 5*g1^16*t^8.72 + 2*g1^34*t^8.79 + (2*t^8.9)/g1^27 - t^8.97/g1^9 - t^3.99/(g1^3*y) - (g1^5*t^5.35)/y - t^5.66/(g1^2*y) - t^5.97/(g1^9*y) - (g1^9*t^6.03)/y - (g1^2*t^6.34)/y - t^6.96/(g1^12*y) - t^7.27/(g1^19*y) - (2*t^7.33)/(g1*y) - (2*g1^10*t^7.7)/y - (2*g1^3*t^8.01)/y - (g1^21*t^8.08)/y + t^8.32/(g1^4*y) + (g1^14*t^8.38)/y - (g1^7*t^8.69)/y - (2*t^8.94)/(g1^18*y) - (t^3.99*y)/g1^3 - g1^5*t^5.35*y - (t^5.66*y)/g1^2 - (t^5.97*y)/g1^9 - g1^9*t^6.03*y - g1^2*t^6.34*y - (t^6.96*y)/g1^12 - (t^7.27*y)/g1^19 - (2*t^7.33*y)/g1 - 2*g1^10*t^7.7*y - 2*g1^3*t^8.01*y - g1^21*t^8.08*y + (t^8.32*y)/g1^4 + g1^14*t^8.38*y - g1^7*t^8.69*y - (2*t^8.94*y)/g1^18 |
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 |
|---|---|---|---|---|---|---|---|---|
| 45591 | $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ M_2q_1^2$ + $ \phi_1^2X_1$ + $ M_3\phi_1^4$ + $ M_4q_1q_2$ + $ M_5\phi_1^2q_2$ + $ M_1M_6$ + $ M_3M_5$ + $ M_2X_2$ | 1.5437 | 1.6025 | 0.9633 | [X:[1.5294, 1.4118], M:[0.8235, 0.5882, 1.0588, 0.7059, 0.9412, 1.1765], q:[0.7059, 0.5882], qb:[], phi:[0.2353]] | t^2.12 + t^2.82 + t^3.18 + 2*t^3.53 + 2*t^4.24 + 2*t^4.59 + 2*t^4.94 + t^5.29 + 2*t^5.65 - t^3.71/y - t^5.12/y - t^5.47/y - (2*t^5.82)/y - t^3.71*y - t^5.12*y - t^5.47*y - 2*t^5.82*y | detail | {a: 7584/4913, c: 7873/4913, X1: 26/17, X2: 24/17, M1: 14/17, M2: 10/17, M3: 18/17, M4: 12/17, M5: 16/17, M6: 20/17, q1: 12/17, q2: 10/17, phi1: 4/17} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 45502 | SO5adj1nf2 | $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ M_2q_1^2$ + $ \phi_1^2X_1$ + $ M_3\phi_1^4$ + $ M_4q_1q_2$ + $ M_5\phi_1^2q_2$ | 1.7891 | 1.9061 | 0.9386 | [X:[1.3428], M:[0.8857, 1.0858, 0.6856, 0.9858, 0.7857], q:[0.4571, 0.5571], qb:[], phi:[0.3286]] | t^2.06 + t^2.36 + t^2.66 + t^2.96 + t^3.26 + t^3.34 + 2*t^4.03 + t^4.11 + t^4.41 + 3*t^4.71 + 3*t^5.01 + 4*t^5.31 + t^5.4 + 2*t^5.61 + 2*t^5.91 - t^3.99/y - t^5.36/y - t^5.66/y - t^5.96/y - t^3.99*y - t^5.36*y - t^5.66*y - t^5.96*y | detail |