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 |
|---|---|---|---|---|---|---|---|---|---|
| 8277 | SO5adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1^4$ | 1.1628 | 1.19 | 0.9772 | [X:[1.5574], M:[1.1148], q:[0.3361], qb:[], phi:[0.2213]] | [X:[[2]], M:[[4]], q:[[3]], qb:[], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_1^2$, $ \phi_1^2q_1$, $ M_1$, $ \phi_1^2q_1^2$, $ q_1^4$, $ \phi_1^2q_1^3$, $ \phi_1^4q_1^2$, $ X_1$, $ M_1q_1^2$, $ \phi_1^2q_1^4$, $ M_1\phi_1^2q_1$, $ \phi_1^4q_1^3$ | . | -1 | t^2.02 + t^2.34 + 2*t^3.34 + t^4.03 + t^4.35 + 2*t^4.67 + 2*t^5.36 + 2*t^5.68 - t^6. + t^6.05 - t^6.32 + t^6.37 + 5*t^6.69 + 2*t^7.01 + 2*t^7.38 + 2*t^7.7 + 2*t^8.02 + t^8.07 - t^8.34 + t^8.39 - 2*t^8.68 + 5*t^8.71 + t^8.34/y^2 + t^8.66/y^2 - t^8.68/y^2 - t^3.66/y - t^4.67/y - t^4.99/y - t^5.68/y - t^6./y - t^6.69/y - (3*t^7.01)/y + t^7.35/y - t^7.7/y - (3*t^8.02)/y - (2*t^8.34)/y + (2*t^8.36)/y + t^8.66/y + (2*t^8.68)/y - t^8.71/y - t^3.66*y - t^4.67*y - t^4.99*y - t^5.68*y - t^6.*y - t^6.69*y - 3*t^7.01*y + t^7.35*y - t^7.7*y - 3*t^8.02*y - 2*t^8.34*y + 2*t^8.36*y + t^8.66*y + 2*t^8.68*y - t^8.71*y + t^8.34*y^2 + t^8.66*y^2 - t^8.68*y^2 | g1^6*t^2.02 + g1*t^2.34 + 2*g1^4*t^3.34 + g1^12*t^4.03 + g1^7*t^4.35 + 2*g1^2*t^4.67 + 2*g1^10*t^5.36 + 2*g1^5*t^5.68 - t^6. + g1^18*t^6.05 - t^6.32/g1^5 + g1^13*t^6.37 + 5*g1^8*t^6.69 + 2*g1^3*t^7.01 + 2*g1^16*t^7.38 + 2*g1^11*t^7.7 + 2*g1^6*t^8.02 + g1^24*t^8.07 - g1*t^8.34 + g1^19*t^8.39 - 2*g1^5*t^8.68 + 5*g1^14*t^8.71 + (g1*t^8.34)/y^2 + t^8.66/(g1^4*y^2) - (g1^5*t^8.68)/y^2 - t^3.66/(g1*y) - (g1^2*t^4.67)/y - t^4.99/(g1^3*y) - (g1^5*t^5.68)/y - t^6./y - (g1^8*t^6.69)/y - (3*g1^3*t^7.01)/y + (g1^7*t^7.35)/y - (g1^11*t^7.7)/y - (3*g1^6*t^8.02)/y - (2*g1*t^8.34)/y + (2*g1^10*t^8.36)/y + t^8.66/(g1^4*y) + (2*g1^5*t^8.68)/y - (g1^14*t^8.71)/y - (t^3.66*y)/g1 - g1^2*t^4.67*y - (t^4.99*y)/g1^3 - g1^5*t^5.68*y - t^6.*y - g1^8*t^6.69*y - 3*g1^3*t^7.01*y + g1^7*t^7.35*y - g1^11*t^7.7*y - 3*g1^6*t^8.02*y - 2*g1*t^8.34*y + 2*g1^10*t^8.36*y + (t^8.66*y)/g1^4 + 2*g1^5*t^8.68*y - g1^14*t^8.71*y + g1*t^8.34*y^2 + (t^8.66*y^2)/g1^4 - g1^5*t^8.68*y^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 8285 | $\phi_1^2X_1$ + $ M_1\phi_1^4$ + $ M_1\phi_1^2q_1$ | 1.1505 | 1.163 | 0.9893 | [X:[1.6], M:[1.2], q:[0.4], qb:[], phi:[0.2]] | 2*t^2.4 + 2*t^3.6 + 4*t^4.8 + 2*t^6. - t^3.6/y - (2*t^4.8)/y - (2*t^6.)/y - t^3.6*y - 2*t^4.8*y - 2*t^6.*y | detail | {a: 2301/2000, c: 1163/1000, X1: 8/5, M1: 6/5, q1: 2/5, phi1: 1/5} |
| 8287 | $\phi_1^2X_1$ + $ M_1\phi_1^4$ + $ M_2q_1^2$ | 1.142 | 1.1485 | 0.9943 | [X:[1.5584], M:[1.1168, 1.3248], q:[0.3376], qb:[], phi:[0.2208]] | t^2.34 + 2*t^3.35 + t^3.97 + 2*t^4.68 + 2*t^5.69 - t^6. - t^3.66/y - t^4.68/y - t^4.99/y - t^6./y - t^3.66*y - t^4.68*y - t^4.99*y - t^6.*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 |
|---|---|---|---|---|---|---|---|---|---|
| 44960 | SO5adj1nf2 | $q_1^2$ + $ \phi_1^2X_1$ + $ M_1\phi_1^4$ | 1.1628 | 1.19 | 0.9772 | [X:[1.5574], M:[1.1148], q:[1.0, 0.3361], qb:[], phi:[0.2213]] | t^2.02 + t^2.34 + 2*t^3.34 + t^4.03 + t^4.35 + 2*t^4.67 + 2*t^5.36 + 2*t^5.68 - t^6. - t^3.66/y - t^4.67/y - t^4.99/y - t^5.68/y - t^6./y - t^3.66*y - t^4.67*y - t^4.99*y - t^5.68*y - t^6.*y | detail |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 8273 | SO5adj1nf1 | $\phi_1^2X_1$ | 1.1741 | 1.206 | 0.9736 | [X:[1.5686], M:[], q:[0.3528], qb:[], phi:[0.2157]] | t^2.12 + t^2.35 + t^2.59 + t^3.41 + t^4.23 + t^4.47 + 3*t^4.71 + t^4.94 + t^5.18 + t^5.53 + t^5.76 - t^3.65/y - t^4.71/y - t^4.94/y - t^5.76/y - t^6./y - t^3.65*y - t^4.71*y - t^4.94*y - t^5.76*y - t^6.*y | detail |