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 |
|---|---|---|---|---|---|---|---|---|---|
| 45240 | SO5adj1nf2 | $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ M_2q_1q_2$ + $ M_1M_3$ | 1.7712 | 1.8759 | 0.9442 | [X:[], M:[0.8917, 1.0124, 1.1083], q:[0.4334, 0.5542], qb:[], phi:[0.3375]] | [X:[], M:[[-2], [-9], [2]], q:[[8], [1]], qb:[], phi:[[-3]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^2$, $ q_1^2$, $ M_2$, $ M_3$, $ q_2^2$, $ \phi_1^2q_2$, $ \phi_1q_1q_2$, $ \phi_1^4$, $ \phi_1^2q_1^2$, $ \phi_1^2q_1q_2$, $ M_2\phi_1^2$, $ q_1^4$, $ M_3\phi_1^2$, $ \phi_1^2q_2^2$, $ \phi_1^4q_2$, $ M_3q_1^2$, $ q_1^2q_2^2$ | $2\phi_1^3q_1q_2$ | 0 | t^2.02 + t^2.6 + t^3.04 + 2*t^3.33 + t^3.69 + t^3.98 + 2*t^4.05 + 2*t^4.63 + t^4.99 + t^5.06 + t^5.2 + 3*t^5.35 + t^5.71 + 2*t^5.93 + 3*t^6.07 + t^6.29 + t^6.58 + 5*t^6.65 + 3*t^7.01 + 2*t^7.09 + 2*t^7.23 + 2*t^7.3 + 5*t^7.37 + t^7.59 + t^7.66 + 2*t^7.74 + t^7.8 + 5*t^7.95 + t^8.02 + 4*t^8.1 + 3*t^8.31 + 2*t^8.53 + 7*t^8.67 + t^8.89 - 2*t^8.96 - t^4.01/y - t^5.31/y - t^5.67/y - (2*t^6.04)/y - t^6.61/y - t^7.05/y - (3*t^7.34)/y + t^7.63/y - (2*t^7.7)/y - t^7.91/y - (2*t^8.06)/y - t^8.28/y + (2*t^8.35)/y - (3*t^8.64)/y + t^8.71/y + (2*t^8.93)/y - t^4.01*y - t^5.31*y - t^5.67*y - 2*t^6.04*y - t^6.61*y - t^7.05*y - 3*t^7.34*y + t^7.63*y - 2*t^7.7*y - t^7.91*y - 2*t^8.06*y - t^8.28*y + 2*t^8.35*y - 3*t^8.64*y + t^8.71*y + 2*t^8.93*y | t^2.02/g1^6 + g1^16*t^2.6 + t^3.04/g1^9 + 2*g1^2*t^3.33 + t^3.69/g1^5 + g1^6*t^3.98 + (2*t^4.05)/g1^12 + 2*g1^10*t^4.63 + g1^3*t^4.99 + t^5.06/g1^15 + g1^32*t^5.2 + (3*t^5.35)/g1^4 + t^5.71/g1^11 + 2*g1^18*t^5.93 + (3*t^6.07)/g1^18 + g1^11*t^6.29 + g1^22*t^6.58 + 5*g1^4*t^6.65 + (3*t^7.01)/g1^3 + (2*t^7.09)/g1^21 + 2*g1^26*t^7.23 + 2*g1^8*t^7.3 + (5*t^7.37)/g1^10 + g1^19*t^7.59 + g1*t^7.66 + (2*t^7.74)/g1^17 + g1^48*t^7.8 + 5*g1^12*t^7.95 + t^8.02/g1^6 + (4*t^8.1)/g1^24 + 3*g1^5*t^8.31 + 2*g1^34*t^8.53 + (7*t^8.67)/g1^2 + g1^27*t^8.89 - 2*g1^9*t^8.96 - t^4.01/(g1^3*y) - (g1^5*t^5.31)/y - t^5.67/(g1^2*y) - (2*t^6.04)/(g1^9*y) - (g1^13*t^6.61)/y - t^7.05/(g1^12*y) - (3*t^7.34)/(g1*y) + (g1^10*t^7.63)/y - (2*t^7.7)/(g1^8*y) - (g1^21*t^7.91)/y - (2*t^8.06)/(g1^15*y) - (g1^14*t^8.28)/y + (2*t^8.35)/(g1^4*y) - (3*g1^7*t^8.64)/y + t^8.71/(g1^11*y) + (2*g1^18*t^8.93)/y - (t^4.01*y)/g1^3 - g1^5*t^5.31*y - (t^5.67*y)/g1^2 - (2*t^6.04*y)/g1^9 - g1^13*t^6.61*y - (t^7.05*y)/g1^12 - (3*t^7.34*y)/g1 + g1^10*t^7.63*y - (2*t^7.7*y)/g1^8 - g1^21*t^7.91*y - (2*t^8.06*y)/g1^15 - g1^14*t^8.28*y + (2*t^8.35*y)/g1^4 - 3*g1^7*t^8.64*y + (t^8.71*y)/g1^11 + 2*g1^18*t^8.93*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 45315 | $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ M_2q_1q_2$ + $ M_1M_3$ + $ M_4\phi_1^2q_2$ | 1.7894 | 1.9088 | 0.9374 | [X:[], M:[0.8928, 1.0178, 1.1072, 0.7679], q:[0.4287, 0.5536], qb:[], phi:[0.3393]] | t^2.04 + t^2.3 + t^2.57 + t^3.05 + 2*t^3.32 + t^3.96 + 2*t^4.07 + t^4.34 + 3*t^4.61 + t^4.88 + t^4.98 + t^5.09 + t^5.14 + 4*t^5.36 + 2*t^5.63 + 2*t^5.89 - t^4.02/y - t^5.3/y - t^5.68/y - t^4.02*y - t^5.3*y - t^5.68*y | detail | |
| 45300 | $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ M_2q_1q_2$ + $ M_1M_3$ + $ M_4\phi_1^2$ | 1.7504 | 1.8348 | 0.954 | [X:[], M:[0.8918, 1.0131, 1.1082, 1.3246], q:[0.4328, 0.5541], qb:[], phi:[0.3377]] | t^2.6 + t^3.04 + 2*t^3.32 + t^3.69 + 2*t^3.97 + t^4.05 + t^4.62 + t^4.99 + t^5.19 + t^5.35 + 2*t^5.92 - t^6. - t^4.01/y - t^5.31/y - t^5.68/y - t^4.01*y - t^5.31*y - t^5.68*y | detail | |
| 45392 | $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ M_2q_1q_2$ + $ M_1M_3$ + $ q_1^4$ + $ \phi_1^2X_1$ | 1.737 | 1.8151 | 0.957 | [X:[1.375], M:[0.875, 0.9375, 1.125], q:[0.5, 0.5625], qb:[], phi:[0.3125]] | t^2.81 + t^3. + 2*t^3.38 + t^3.56 + t^3.75 + 2*t^4.12 + t^4.88 + t^5.06 + t^5.25 + t^5.62 - t^3.94/y - t^5.44/y - t^5.62/y - t^5.81/y - t^3.94*y - t^5.44*y - t^5.62*y - t^5.81*y | detail | {a: 113835/65536, c: 118955/65536, X1: 11/8, M1: 7/8, M2: 15/16, M3: 9/8, q1: 1/2, q2: 9/16, phi1: 5/16} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 45035 | SO5adj1nf2 | $M_1\phi_1^2q_1$ + $ M_1q_2^2$ + $ M_2q_1q_2$ | 1.7811 | 1.8924 | 0.9412 | [X:[], M:[0.8908, 1.0088], q:[0.4367, 0.5546], qb:[], phi:[0.3363]] | t^2.02 + t^2.62 + t^2.67 + t^3.03 + t^3.33 + t^3.68 + t^3.98 + 2*t^4.04 + 2*t^4.64 + t^4.69 + t^4.99 + t^5.04 + t^5.24 + t^5.29 + 3*t^5.35 + 2*t^5.7 + t^5.95 + t^6. - t^4.01/y - t^5.32/y - t^5.67/y - t^4.01*y - t^5.32*y - t^5.67*y | detail |