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 |
|---|---|---|---|---|---|---|---|---|---|
| 45501 | 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_1M_5$ | 1.7615 | 1.8578 | 0.9482 | [X:[1.3444], M:[0.8852, 1.0817, 0.6888, 0.9834, 1.1148], q:[0.4592, 0.5574], qb:[], phi:[0.3278]] | [X:[[6]], M:[[-2], [-16], [12], [-9], [2]], q:[[8], [1]], qb:[], phi:[[-3]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_4$, $ M_2$, $ M_5$, $ q_2^2$, $ \phi_1^2q_2$, $ \phi_1q_1q_2$, $ X_1$, $ M_3^2$, $ \phi_1^2q_1^2$, $ M_3M_4$, $ \phi_1^2q_1q_2$, $ M_2M_3$, $ \phi_1^2q_2^2$, $ M_3M_5$, $ M_3q_2^2$, $ M_4^2$ | $\phi_1^3q_1q_2$ | -1 | t^2.07 + t^2.95 + t^3.24 + 2*t^3.34 + t^3.64 + 2*t^4.03 + t^4.13 + t^4.72 + 2*t^5.02 + 2*t^5.31 + 2*t^5.41 + t^5.9 - t^6. + 2*t^6.1 + 2*t^6.2 + t^6.49 + 2*t^6.59 + 2*t^6.69 + t^6.79 + t^6.88 + 3*t^6.98 + 2*t^7.08 + 2*t^7.28 + 6*t^7.38 + 2*t^7.48 + 2*t^7.67 + 2*t^7.97 + 3*t^8.07 + 2*t^8.17 + 2*t^8.26 + t^8.27 + 2*t^8.36 + 2*t^8.56 + 2*t^8.66 + 3*t^8.76 + 2*t^8.85 - t^3.98/y - t^5.36/y - t^5.66/y - t^5.95/y - t^6.05/y - t^6.93/y - t^7.23/y - (2*t^7.33)/y - t^7.43/y - t^7.62/y - t^7.72/y - t^8.02/y - t^8.12/y + t^8.31/y + (2*t^8.41)/y - t^8.61/y - t^8.71/y - (2*t^8.9)/y - t^3.98*y - t^5.36*y - t^5.66*y - t^5.95*y - t^6.05*y - t^6.93*y - t^7.23*y - 2*t^7.33*y - t^7.43*y - t^7.62*y - t^7.72*y - t^8.02*y - t^8.12*y + t^8.31*y + 2*t^8.41*y - t^8.61*y - t^8.71*y - 2*t^8.9*y | g1^12*t^2.07 + t^2.95/g1^9 + t^3.24/g1^16 + 2*g1^2*t^3.34 + t^3.64/g1^5 + 2*g1^6*t^4.03 + g1^24*t^4.13 + g1^10*t^4.72 + 2*g1^3*t^5.02 + (2*t^5.31)/g1^4 + 2*g1^14*t^5.41 + t^5.9/g1^18 - t^6. + 2*g1^18*t^6.1 + t^6.2/g1^25 + g1^36*t^6.2 + t^6.49/g1^32 + (2*t^6.59)/g1^14 + 2*g1^4*t^6.69 + g1^22*t^6.79 + t^6.88/g1^21 + (3*t^6.98)/g1^3 + 2*g1^15*t^7.08 + (2*t^7.28)/g1^10 + 6*g1^8*t^7.38 + 2*g1^26*t^7.48 + 2*g1*t^7.67 + (2*t^7.97)/g1^6 + 3*g1^12*t^8.07 + 2*g1^30*t^8.17 + (2*t^8.26)/g1^13 + g1^48*t^8.27 + 2*g1^5*t^8.36 + (2*t^8.56)/g1^20 + (2*t^8.66)/g1^2 + 3*g1^16*t^8.76 + t^8.85/g1^27 + g1^34*t^8.85 - t^3.98/(g1^3*y) - (g1^5*t^5.36)/y - t^5.66/(g1^2*y) - t^5.95/(g1^9*y) - (g1^9*t^6.05)/y - t^6.93/(g1^12*y) - t^7.23/(g1^19*y) - (2*t^7.33)/(g1*y) - (g1^17*t^7.43)/y - t^7.62/(g1^8*y) - (g1^10*t^7.72)/y - (g1^3*t^8.02)/y - (g1^21*t^8.12)/y + t^8.31/(g1^4*y) + (2*g1^14*t^8.41)/y - t^8.61/(g1^11*y) - (g1^7*t^8.71)/y - (2*t^8.9)/(g1^18*y) - (t^3.98*y)/g1^3 - g1^5*t^5.36*y - (t^5.66*y)/g1^2 - (t^5.95*y)/g1^9 - g1^9*t^6.05*y - (t^6.93*y)/g1^12 - (t^7.23*y)/g1^19 - (2*t^7.33*y)/g1 - g1^17*t^7.43*y - (t^7.62*y)/g1^8 - g1^10*t^7.72*y - g1^3*t^8.02*y - g1^21*t^8.12*y + (t^8.31*y)/g1^4 + 2*g1^14*t^8.41*y - (t^8.61*y)/g1^11 - g1^7*t^8.71*y - (2*t^8.9*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 |
|---|---|---|---|---|---|---|---|---|
| 45532 | $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ M_2q_1^2$ + $ \phi_1^2X_1$ + $ M_3\phi_1^4$ + $ M_4q_1q_2$ + $ M_1M_5$ + $ M_3^2$ + $ M_2X_2$ | 1.5967 | 1.6592 | 0.9623 | [X:[1.5, 1.3333], M:[0.8333, 0.6667, 1.0, 0.75, 1.1667], q:[0.6667, 0.5833], qb:[], phi:[0.25]] | t^2.25 + t^3. + t^3.25 + 2*t^3.5 + t^4. + 3*t^4.5 + t^5. + 2*t^5.25 + t^5.5 - t^3.75/y - t^5.25/y - t^5.5/y - t^5.75/y - t^6./y - t^3.75*y - t^5.25*y - t^5.5*y - t^5.75*y - t^6.*y | detail | {a: 1635/1024, c: 1699/1024, X1: 3/2, X2: 4/3, M1: 5/6, M2: 2/3, M3: 1, M4: 3/4, M5: 7/6, q1: 2/3, q2: 7/12, phi1: 1/4} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 45387 | 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$ | 1.7719 | 1.8752 | 0.9449 | [X:[1.3467], M:[0.8844, 1.0754, 0.6935, 0.9799], q:[0.4623, 0.5578], qb:[], phi:[0.3266]] | t^2.08 + t^2.65 + t^2.94 + t^3.23 + t^3.35 + t^3.63 + 2*t^4.04 + t^4.16 + 2*t^4.73 + 2*t^5.02 + 3*t^5.31 + t^5.43 + t^5.59 + 2*t^5.88 - t^3.98/y - t^5.37/y - t^5.65/y - t^5.94/y - t^3.98*y - t^5.37*y - t^5.65*y - t^5.94*y | detail |