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 |
|---|---|---|---|---|---|---|---|---|---|
| 8361 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_1q_2$ + $ M_2\phi_1^4$ | 1.1469 | 1.2552 | 0.9137 | [X:[1.6355], M:[0.9113, 1.271], q:[0.4556, 0.4508], qb:[], phi:[0.1823]] | [X:[[4]], M:[[-10], [8]], q:[[-5], [17]], qb:[], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_1q_2$, $ M_1$, $ \phi_1q_2^2$, $ \phi_1q_1^2$, $ M_2$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_2^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_1^2$, $ X_1$, $ q_1^2q_2^2$, $ M_1q_1q_2$, $ M_1^2$, $ \phi_1q_1q_2^3$ | . | -1 | t^2.72 + t^2.73 + t^3.25 + t^3.28 + 2*t^3.81 + t^4.35 + t^4.36 + t^4.37 + t^4.91 + t^5.44 + t^5.45 + t^5.47 + t^5.97 - t^6. + t^6.5 + 2*t^6.53 + t^6.55 + 3*t^7.06 + t^7.08 + 3*t^7.09 + t^7.6 + t^7.61 + 4*t^7.63 + t^7.64 + 3*t^8.16 + 2*t^8.17 + 4*t^8.19 + t^8.2 + 2*t^8.69 + t^8.7 + t^8.72 + t^8.75 + t^8.19/y^2 - t^3.55/y - t^4.64/y - t^6.27/y - t^6.28/y - t^6.8/y - t^6.83/y - (2*t^7.36)/y - t^7.37/y - t^7.89/y - t^7.92/y + t^8.97/y - t^3.55*y - t^4.64*y - t^6.27*y - t^6.28*y - t^6.8*y - t^6.83*y - 2*t^7.36*y - t^7.37*y - t^7.89*y - t^7.92*y + t^8.97*y + t^8.19*y^2 | g1^12*t^2.72 + t^2.73/g1^10 + g1^32*t^3.25 + t^3.28/g1^12 + 2*g1^8*t^3.81 + g1^28*t^4.35 + g1^6*t^4.36 + t^4.37/g1^16 + g1^4*t^4.91 + g1^24*t^5.44 + g1^2*t^5.45 + t^5.47/g1^20 + g1^44*t^5.97 - t^6. + g1^64*t^6.5 + 2*g1^20*t^6.53 + t^6.55/g1^2 + 3*g1^40*t^7.06 + g1^18*t^7.08 + (3*t^7.09)/g1^4 + g1^60*t^7.6 + g1^38*t^7.61 + 4*g1^16*t^7.63 + t^7.64/g1^6 + 3*g1^36*t^8.16 + 2*g1^14*t^8.17 + (4*t^8.19)/g1^8 + t^8.2/g1^30 + 2*g1^56*t^8.69 + g1^34*t^8.7 + g1^12*t^8.72 + t^8.75/g1^32 + t^8.19/(g1^8*y^2) - t^3.55/(g1^2*y) - t^4.64/(g1^6*y) - (g1^10*t^6.27)/y - t^6.28/(g1^12*y) - (g1^30*t^6.8)/y - t^6.83/(g1^14*y) - (2*g1^6*t^7.36)/y - t^7.37/(g1^16*y) - (g1^26*t^7.89)/y - t^7.92/(g1^18*y) + (g1^44*t^8.97)/y - (t^3.55*y)/g1^2 - (t^4.64*y)/g1^6 - g1^10*t^6.27*y - (t^6.28*y)/g1^12 - g1^30*t^6.8*y - (t^6.83*y)/g1^14 - 2*g1^6*t^7.36*y - (t^7.37*y)/g1^16 - g1^26*t^7.89*y - (t^7.92*y)/g1^18 + g1^44*t^8.97*y + (t^8.19*y^2)/g1^8 |
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 |
|---|---|---|---|---|---|---|---|---|
| 8508 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_1q_2$ + $ M_2\phi_1^4$ + $ M_3q_1q_2$ | 1.1388 | 1.2403 | 0.9182 | [X:[1.6391], M:[0.9023, 1.2782, 1.0827], q:[0.4511, 0.4661], qb:[], phi:[0.1805]] | t^2.71 + 2*t^3.25 + t^3.34 + 2*t^3.83 + t^4.33 + t^4.38 + t^4.42 + t^4.92 + t^5.41 + t^5.96 - 2*t^6. - t^3.54/y - t^4.62/y - t^3.54*y - t^4.62*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 |
|---|---|---|---|---|---|---|---|---|---|
| 8197 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ \phi_1q_1^3q_2$ + $ M_1\phi_1q_1q_2$ | 1.1667 | 1.2917 | 0.9032 | [X:[1.6363], M:[0.9092], q:[0.4546, 0.4544], qb:[], phi:[0.1818]] | t^2.18 + 2*t^2.73 + 2*t^3.27 + t^3.82 + 4*t^4.36 + 3*t^4.91 + 3*t^5.45 + 2*t^5.46 + t^6. - t^3.55/y - t^4.64/y - t^5.73/y - t^3.55*y - t^4.64*y - t^5.73*y | detail |