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 |
|---|---|---|---|---|---|---|---|---|---|
| 45368 | SO5adj1nf2 | $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ M_2q_2^2$ + $ M_3q_1^2$ + $ \phi_1^2X_1$ + $ M_4\phi_1^4$ | 1.7809 | 1.8916 | 0.9415 | [X:[1.3371], M:[0.8876, 0.8876, 1.1012, 0.6741], q:[0.4494, 0.5562], qb:[], phi:[0.3315]] | [X:[[6]], M:[[-2], [-2], [-16], [12]], q:[[8], [1]], qb:[], phi:[[-3]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_1$, $ M_2$, $ q_1q_2$, $ M_3$, $ \phi_1^2q_2$, $ \phi_1q_1q_2$, $ X_1$, $ M_4^2$, $ M_1M_4$, $ M_2M_4$, $ \phi_1^2q_1^2$, $ \phi_1^2q_1q_2$, $ M_4q_1q_2$, $ M_1^2$, $ M_1M_2$, $ M_2^2$, $ M_3M_4$, $ \phi_1^2q_2^2$, $ M_4\phi_1^2q_2$, $ M_2q_1q_2$, $ M_1M_3$, $ M_2M_3$ | $\phi_1^3q_1q_2$ | -1 | t^2.02 + 2*t^2.66 + t^3.02 + t^3.3 + t^3.66 + 2*t^4.01 + t^4.04 + 3*t^4.69 + t^5.01 + t^5.04 + 5*t^5.33 + 2*t^5.68 + 2*t^5.97 - t^6. + 3*t^6.03 + t^6.07 + t^6.32 + t^6.61 - t^6.64 + 4*t^6.67 + 3*t^6.71 + t^6.96 - t^6.99 + 3*t^7.03 + t^7.06 + 2*t^7.31 + 7*t^7.35 + 3*t^7.67 + 3*t^7.7 + 8*t^7.99 + 2*t^8.02 + 3*t^8.06 + t^8.09 + 3*t^8.34 + 5*t^8.63 - 4*t^8.66 + 6*t^8.7 + 3*t^8.73 + 2*t^8.98 - t^3.99/y - t^5.34/y - t^5.66/y - t^5.98/y - t^6.02/y - (2*t^6.66)/y - t^7.01/y - t^7.3/y - t^7.37/y - t^7.65/y + t^7.69/y - (4*t^8.01)/y + t^8.33/y - t^8.36/y - (2*t^8.65)/y + t^8.97/y - t^3.99*y - t^5.34*y - t^5.66*y - t^5.98*y - t^6.02*y - 2*t^6.66*y - t^7.01*y - t^7.3*y - t^7.37*y - t^7.65*y + t^7.69*y - 4*t^8.01*y + t^8.33*y - t^8.36*y - 2*t^8.65*y + t^8.97*y | g1^12*t^2.02 + (2*t^2.66)/g1^2 + g1^9*t^3.02 + t^3.3/g1^16 + t^3.66/g1^5 + 2*g1^6*t^4.01 + g1^24*t^4.04 + 3*g1^10*t^4.69 + g1^3*t^5.01 + g1^21*t^5.04 + (5*t^5.33)/g1^4 + 2*g1^7*t^5.68 + (2*t^5.97)/g1^18 - t^6. + 3*g1^18*t^6.03 + g1^36*t^6.07 + t^6.32/g1^7 + t^6.61/g1^32 - t^6.64/g1^14 + 4*g1^4*t^6.67 + 3*g1^22*t^6.71 + t^6.96/g1^21 - t^6.99/g1^3 + 3*g1^15*t^7.03 + g1^33*t^7.06 + (2*t^7.31)/g1^10 + 7*g1^8*t^7.35 + 3*g1*t^7.67 + 3*g1^19*t^7.7 + (8*t^7.99)/g1^6 + 2*g1^12*t^8.02 + 3*g1^30*t^8.06 + g1^48*t^8.09 + 3*g1^5*t^8.34 + (5*t^8.63)/g1^20 - (4*t^8.66)/g1^2 + 6*g1^16*t^8.7 + 3*g1^34*t^8.73 + (2*t^8.98)/g1^9 - t^3.99/(g1^3*y) - (g1^5*t^5.34)/y - t^5.66/(g1^2*y) - t^5.98/(g1^9*y) - (g1^9*t^6.02)/y - (2*t^6.66)/(g1^5*y) - (g1^6*t^7.01)/y - t^7.3/(g1^19*y) - (g1^17*t^7.37)/y - t^7.65/(g1^8*y) + (g1^10*t^7.69)/y - (4*g1^3*t^8.01)/y + t^8.33/(g1^4*y) - (g1^14*t^8.36)/y - (2*t^8.65)/(g1^11*y) + t^8.97/(g1^18*y) - (t^3.99*y)/g1^3 - g1^5*t^5.34*y - (t^5.66*y)/g1^2 - (t^5.98*y)/g1^9 - g1^9*t^6.02*y - (2*t^6.66*y)/g1^5 - g1^6*t^7.01*y - (t^7.3*y)/g1^19 - g1^17*t^7.37*y - (t^7.65*y)/g1^8 + g1^10*t^7.69*y - 4*g1^3*t^8.01*y + (t^8.33*y)/g1^4 - g1^14*t^8.36*y - (2*t^8.65*y)/g1^11 + (t^8.97*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 |
|---|---|---|---|---|---|---|---|---|
| 45518 | $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ M_2q_2^2$ + $ M_3q_1^2$ + $ \phi_1^2X_1$ + $ M_4\phi_1^4$ + $ M_4^2$ + $ M_3X_2$ | 1.6063 | 1.674 | 0.9596 | [X:[1.5, 1.3333], M:[0.8333, 0.8333, 0.6667, 1.0], q:[0.6667, 0.5833], qb:[], phi:[0.25]] | 2*t^2.5 + t^3. + t^3.25 + t^3.75 + t^4. + 2*t^4.5 + 4*t^5. + t^5.25 + 2*t^5.5 - t^3.75/y - t^5.25/y - t^5.5/y - t^5.75/y - t^3.75*y - t^5.25*y - t^5.5*y - t^5.75*y | detail | {a: 9869/6144, c: 10285/6144, X1: 3/2, X2: 4/3, M1: 5/6, M2: 5/6, M3: 2/3, M4: 1, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 45131 | SO5adj1nf2 | $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ M_2q_2^2$ + $ M_3q_1^2$ + $ \phi_1^2X_1$ | 1.7601 | 1.8504 | 0.9512 | [X:[1.3379], M:[0.8874, 0.8874, 1.0988], q:[0.4506, 0.5563], qb:[], phi:[0.331]] | 2*t^2.66 + t^3.02 + t^3.3 + t^3.66 + t^3.97 + 2*t^4.01 + t^4.69 + t^5.01 + 4*t^5.32 + t^5.68 + 2*t^5.96 - t^6. - t^3.99/y - t^5.34/y - t^5.66/y - t^5.98/y - t^3.99*y - t^5.34*y - t^5.66*y - t^5.98*y | detail |