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 |
|---|---|---|---|---|---|---|---|---|---|
| 8511 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_2^2$ + $ M_2q_1q_2$ + $ M_3\phi_1q_1q_2$ | 1.172 | 1.3008 | 0.901 | [X:[1.6474], M:[0.821, 1.0579, 0.8816], q:[0.4408, 0.5013], qb:[], phi:[0.1763]] | [X:[[4]], M:[[-32], [-12], [-10]], q:[[-5], [17]], qb:[], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^4$, $ M_1$, $ M_3$, $ M_2$, $ \phi_1q_1^2$, $ \phi_1^2q_1q_2$, $ \phi_1^8$, $ \phi_1^3q_1^2$, $ \phi_1^3q_1q_2$, $ M_1\phi_1^4$, $ \phi_1^3q_2^2$, $ M_3\phi_1^4$, $ M_1^2$, $ X_1$, $ M_1M_3$, $ M_3^2$, $ M_2\phi_1^4$, $ \phi_1^5q_1^2$, $ M_1M_2$, $ M_1\phi_1q_1^2$, $ M_2M_3$, $ M_3\phi_1q_1^2$ | $\phi_1^6q_1q_2$ | -1 | t^2.12 + t^2.46 + t^2.64 + 2*t^3.17 + t^3.88 + 2*t^4.23 + t^4.41 + t^4.58 + t^4.59 + t^4.76 + t^4.93 + t^4.94 + t^5.11 + 3*t^5.29 + 2*t^5.64 + t^5.82 - t^6. - t^6.18 + 5*t^6.35 + t^6.53 + 2*t^6.69 + 2*t^6.88 + t^7.04 + 4*t^7.06 + t^7.22 + t^7.39 + 5*t^7.41 + t^7.57 + 2*t^7.59 + 3*t^7.75 + t^7.77 + 2*t^7.93 + 2*t^8.1 + 2*t^8.12 + t^8.28 - t^8.3 + 5*t^8.46 - 2*t^8.64 + 5*t^8.81 + t^8.99 + t^8.12/y^2 - t^8.64/y^2 - t^8.99/y^2 - t^3.53/y - t^4.59/y - t^5.64/y - t^5.99/y - t^6.17/y - (3*t^6.7)/y - t^7.05/y - t^7.23/y + t^7.58/y - (2*t^7.76)/y + t^8.29/y - t^8.45/y + t^8.64/y - (2*t^8.82)/y - t^3.53*y - t^4.59*y - t^5.64*y - t^5.99*y - t^6.17*y - 3*t^6.7*y - t^7.05*y - t^7.23*y + t^7.58*y - 2*t^7.76*y + t^8.29*y - t^8.45*y + t^8.64*y - 2*t^8.82*y + t^8.12*y^2 - t^8.64*y^2 - t^8.99*y^2 | t^2.12/g1^8 + t^2.46/g1^32 + t^2.64/g1^10 + (2*t^3.17)/g1^12 + g1^8*t^3.88 + (2*t^4.23)/g1^16 + g1^6*t^4.41 + t^4.58/g1^40 + g1^28*t^4.59 + t^4.76/g1^18 + t^4.93/g1^64 + g1^4*t^4.94 + t^5.11/g1^42 + (3*t^5.29)/g1^20 + (2*t^5.64)/g1^44 + t^5.82/g1^22 - t^6. - g1^22*t^6.18 + (5*t^6.35)/g1^24 + t^6.53/g1^2 + (2*t^6.69)/g1^48 + (2*t^6.88)/g1^26 + t^7.04/g1^72 + (4*t^7.06)/g1^4 + t^7.22/g1^50 + t^7.39/g1^96 + (5*t^7.41)/g1^28 + t^7.57/g1^74 + (2*t^7.59)/g1^6 + (3*t^7.75)/g1^52 + g1^16*t^7.77 + (2*t^7.93)/g1^30 + (2*t^8.1)/g1^76 + (2*t^8.12)/g1^8 + t^8.28/g1^54 - g1^14*t^8.3 + (5*t^8.46)/g1^32 - (2*t^8.64)/g1^10 + (5*t^8.81)/g1^56 + t^8.99/g1^34 + t^8.12/(g1^8*y^2) - t^8.64/(g1^10*y^2) - t^8.99/(g1^34*y^2) - t^3.53/(g1^2*y) - t^4.59/(g1^6*y) - t^5.64/(g1^10*y) - t^5.99/(g1^34*y) - t^6.17/(g1^12*y) - (3*t^6.7)/(g1^14*y) - t^7.05/(g1^38*y) - t^7.23/(g1^16*y) + t^7.58/(g1^40*y) - (2*t^7.76)/(g1^18*y) + t^8.29/(g1^20*y) - t^8.45/(g1^66*y) + t^8.64/(g1^44*y) - (2*t^8.82)/(g1^22*y) - (t^3.53*y)/g1^2 - (t^4.59*y)/g1^6 - (t^5.64*y)/g1^10 - (t^5.99*y)/g1^34 - (t^6.17*y)/g1^12 - (3*t^6.7*y)/g1^14 - (t^7.05*y)/g1^38 - (t^7.23*y)/g1^16 + (t^7.58*y)/g1^40 - (2*t^7.76*y)/g1^18 + (t^8.29*y)/g1^20 - (t^8.45*y)/g1^66 + (t^8.64*y)/g1^44 - (2*t^8.82*y)/g1^22 + (t^8.12*y^2)/g1^8 - (t^8.64*y^2)/g1^10 - (t^8.99*y^2)/g1^34 |
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 |
|---|---|---|---|---|---|---|---|---|
| 8722 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_2^2$ + $ M_2q_1q_2$ + $ M_3\phi_1q_1q_2$ + $ M_4\phi_1^2q_1q_2$ | 1.1924 | 1.3398 | 0.89 | [X:[1.6478], M:[0.8174, 1.0565, 0.8804, 0.7043], q:[0.4402, 0.5033], qb:[], phi:[0.1761]] | 2*t^2.11 + t^2.45 + t^2.64 + 2*t^3.17 + 4*t^4.23 + t^4.42 + 2*t^4.57 + t^4.6 + 2*t^4.75 + t^4.9 + t^4.94 + t^5.09 + 5*t^5.28 + 2*t^5.62 + t^5.81 - 2*t^6. - t^3.53/y - t^4.58/y - (2*t^5.64)/y - t^5.98/y - t^3.53*y - t^4.58*y - 2*t^5.64*y - t^5.98*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 |
|---|---|---|---|---|---|---|---|---|---|
| 8379 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_2^2$ + $ M_2q_1q_2$ | 1.1616 | 1.2825 | 0.9057 | [X:[1.645], M:[0.8398, 1.0649], q:[0.4437, 0.4913], qb:[], phi:[0.1775]] | t^2.13 + t^2.52 + 2*t^3.19 + t^3.34 + t^3.87 + 2*t^4.26 + t^4.4 + t^4.55 + t^4.65 + t^4.94 + t^5.04 + 2*t^5.32 + t^5.47 + 2*t^5.71 - t^6. - t^3.53/y - t^4.6/y - t^5.66/y - t^3.53*y - t^4.6*y - t^5.66*y | detail |