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 |
|---|---|---|---|---|---|---|---|---|---|
| 45015 | SO5adj1nf2 | $M_1q_1^2$ + $ M_2q_2^2$ + $ M_3q_1q_2$ | 1.7846 | 1.887 | 0.9457 | [X:[], M:[1.0212, 1.0212, 1.0212], q:[0.4894, 0.4894], qb:[], phi:[0.3404]] | [X:[], M:[[-6, 0], [0, -6], [-3, -3]], q:[[3, 0], [0, 3]], qb:[], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^2$, $ M_1$, $ M_2$, $ M_3$, $ \phi_1^2q_1$, $ \phi_1^2q_2$, $ \phi_1q_1q_2$, $ \phi_1^4$, $ \phi_1^2q_1^2$, $ \phi_1^2q_1q_2$, $ \phi_1^2q_2^2$, $ M_2\phi_1^2$, $ M_3\phi_1^2$, $ M_1\phi_1^2$, $ \phi_1^4q_1$, $ \phi_1^4q_2$ | $2\phi_1^3q_1q_2$ | -2 | t^2.04 + 3*t^3.06 + 2*t^3.51 + t^3.96 + 2*t^4.08 + 3*t^4.98 + 3*t^5.11 + 2*t^5.55 - 2*t^6. + 8*t^6.13 + 4*t^6.57 + 6*t^7.02 + 6*t^7.15 + 2*t^7.47 + 4*t^7.6 + 5*t^8.04 + 9*t^8.17 + 4*t^8.49 + 4*t^8.62 - t^4.02/y - (2*t^5.49)/y - (2*t^6.06)/y - (3*t^7.08)/y - (4*t^7.53)/y - (2*t^8.55)/y - t^4.02*y - 2*t^5.49*y - 2*t^6.06*y - 3*t^7.08*y - 4*t^7.53*y - 2*t^8.55*y | t^2.04/(g1^2*g2^2) + t^3.06/g1^6 + t^3.06/g2^6 + t^3.06/(g1^3*g2^3) + (g1*t^3.51)/g2^2 + (g2*t^3.51)/g1^2 + g1^2*g2^2*t^3.96 + (2*t^4.08)/(g1^4*g2^4) + (g1^4*t^4.98)/g2^2 + g1*g2*t^4.98 + (g2^4*t^4.98)/g1^2 + t^5.11/(g1^2*g2^8) + t^5.11/(g1^5*g2^5) + t^5.11/(g1^8*g2^2) + t^5.55/(g1*g2^4) + t^5.55/(g1^4*g2) - (g1^3*t^6.)/g2^3 - (g2^3*t^6.)/g1^3 + t^6.13/g1^12 + t^6.13/g2^12 + t^6.13/(g1^3*g2^9) + (4*t^6.13)/(g1^6*g2^6) + t^6.13/(g1^9*g2^3) + (g1*t^6.57)/g2^8 + t^6.57/(g1^2*g2^5) + t^6.57/(g1^5*g2^2) + (g2*t^6.57)/g1^8 + (2*g1^2*t^7.02)/g2^4 + (2*t^7.02)/(g1*g2) + (2*g2^2*t^7.02)/g1^4 + (2*t^7.15)/(g1^4*g2^10) + (2*t^7.15)/(g1^7*g2^7) + (2*t^7.15)/(g1^10*g2^4) + g1^3*t^7.47 + g2^3*t^7.47 + (2*t^7.6)/(g1^3*g2^6) + (2*t^7.6)/(g1^6*g2^3) + (g1^4*t^8.04)/g2^8 + (3*t^8.04)/(g1^2*g2^2) + (g2^4*t^8.04)/g1^8 + t^8.17/(g1^2*g2^14) + t^8.17/(g1^5*g2^11) + (5*t^8.17)/(g1^8*g2^8) + t^8.17/(g1^11*g2^5) + t^8.17/(g1^14*g2^2) + (g1^5*t^8.49)/g2^4 + (g1^2*t^8.49)/g2 + (g2^2*t^8.49)/g1 + (g2^5*t^8.49)/g1^4 + t^8.62/(g1*g2^10) + t^8.62/(g1^4*g2^7) + t^8.62/(g1^7*g2^4) + t^8.62/(g1^10*g2) - t^4.02/(g1*g2*y) - (g1^2*t^5.49)/(g2*y) - (g2^2*t^5.49)/(g1*y) - (2*t^6.06)/(g1^3*g2^3*y) - t^7.08/(g1*g2^7*y) - t^7.08/(g1^4*g2^4*y) - t^7.08/(g1^7*g2*y) - (2*t^7.53)/(g1^3*y) - (2*t^7.53)/(g2^3*y) + t^8.11/(g1^2*g2^8*y) - (2*t^8.11)/(g1^5*g2^5*y) + t^8.11/(g1^8*g2^2*y) - (g1^2*t^8.55)/(g2^7*y) - (g2^2*t^8.55)/(g1^7*y) - (t^4.02*y)/(g1*g2) - (g1^2*t^5.49*y)/g2 - (g2^2*t^5.49*y)/g1 - (2*t^6.06*y)/(g1^3*g2^3) - (t^7.08*y)/(g1*g2^7) - (t^7.08*y)/(g1^4*g2^4) - (t^7.08*y)/(g1^7*g2) - (2*t^7.53*y)/g1^3 - (2*t^7.53*y)/g2^3 + (t^8.11*y)/(g1^2*g2^8) - (2*t^8.11*y)/(g1^5*g2^5) + (t^8.11*y)/(g1^8*g2^2) - (g1^2*t^8.55*y)/g2^7 - (g2^2*t^8.55*y)/g1^7 |
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 |
|---|---|---|---|---|---|---|---|---|
| 45211 | $M_1q_1^2$ + $ M_2q_2^2$ + $ M_3q_1q_2$ + $ M_3\phi_1^2$ | 1.7355 | 1.823 | 0.952 | [X:[], M:[1.2, 1.2, 1.2], q:[0.4, 0.4], qb:[], phi:[0.4]] | t^2.4 + 6*t^3.6 + 5*t^4.8 + 3*t^6. - t^4.2/y - (2*t^5.4)/y - t^4.2*y - 2*t^5.4*y | detail | {a: 3471/2000, c: 1823/1000, M1: 6/5, M2: 6/5, M3: 6/5, q1: 2/5, q2: 2/5, phi1: 2/5} |
| 45110 | $M_1q_1^2$ + $ M_2q_2^2$ + $ M_3q_1q_2$ + $ M_4\phi_1q_1q_2$ | 1.8054 | 1.9279 | 0.9364 | [X:[], M:[1.0197, 1.0197, 1.0197, 0.6798], q:[0.4902, 0.4902], qb:[], phi:[0.3399]] | 2*t^2.04 + 3*t^3.06 + 2*t^3.51 + 4*t^4.08 + 3*t^4.98 + 6*t^5.1 + 4*t^5.55 - 3*t^6. - t^4.02/y - (2*t^5.49)/y - t^4.02*y - 2*t^5.49*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 |
|---|---|---|---|---|---|---|---|---|---|
| 44981 | SO5adj1nf2 | $M_1q_1^2$ + $ M_2q_2^2$ | 1.7879 | 1.891 | 0.9455 | [X:[], M:[1.0495, 1.0495], q:[0.4752, 0.4752], qb:[], phi:[0.3498]] | t^2.1 + t^2.85 + 2*t^3.15 + 2*t^3.52 + t^3.9 + 2*t^4.2 + 4*t^4.95 + 2*t^5.25 + 2*t^5.62 + t^5.7 - t^4.05/y - (2*t^5.48)/y - t^4.05*y - 2*t^5.48*y | detail |