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 |
|---|---|---|---|---|---|---|---|---|---|
| 1989 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_1M_5$ + $ M_2X_1$ + $ M_3^2$ + $ M_6q_2\tilde{q}_2$ | 0.5872 | 0.7435 | 0.7898 | [X:[1.4691], M:[0.9062, 0.5309, 1.0, 0.8124, 1.0938, 0.7185], q:[0.8438, 0.75], qb:[0.25, 0.5315], phi:[0.4062]] | [X:[[5]], M:[[-1], [-5], [0], [-2], [1], [-3]], q:[[1], [0]], qb:[[0], [3]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ \tilde{q}_1\tilde{q}_2$, $ M_4$, $ \phi_1^2$, $ M_1$, $ M_3$, $ M_5$, $ q_1\tilde{q}_2$, $ M_6^2$, $ X_1$, $ M_6\tilde{q}_1\tilde{q}_2$, $ M_4M_6$, $ M_6\phi_1^2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ q_1q_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_1M_6$, $ M_4\phi_1^2$, $ \phi_1^4$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_1M_4$, $ M_3M_6$, $ M_1\phi_1^2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_3M_4$, $ M_5M_6$, $ M_3\phi_1^2$, $ M_5\tilde{q}_1\tilde{q}_2$, $ M_1M_3$, $ M_4M_5$, $ M_5\phi_1^2$ | . | -1 | t^2.16 + t^2.34 + 2*t^2.44 + t^2.72 + t^3. + t^3.28 + t^4.13 + t^4.31 + t^4.41 + t^4.5 + 2*t^4.59 + t^4.69 + 3*t^4.78 + 4*t^4.87 + t^5.06 + 2*t^5.16 + t^5.34 + 3*t^5.44 + t^5.63 + 2*t^5.72 - t^6. - t^6.37 + 2*t^6.47 + 2*t^6.56 + 3*t^6.75 + 2*t^6.84 + 2*t^6.94 + 5*t^7.03 + 2*t^7.13 + 4*t^7.22 + 6*t^7.31 + 2*t^7.41 + t^7.5 + 4*t^7.59 + t^7.69 + 2*t^7.78 + 4*t^7.87 + t^8.06 + t^8.16 + t^8.25 - 3*t^8.34 - 3*t^8.44 + t^8.62 - t^8.63 - 2*t^8.72 + t^8.81 + 2*t^8.9 + 2*t^8.91 - t^4.22/y - t^6.37/y - (2*t^6.66)/y + t^7.5/y + (2*t^7.59)/y + (4*t^7.78)/y + (2*t^7.87)/y + (2*t^8.06)/y + (3*t^8.16)/y + t^8.34/y + (3*t^8.44)/y - t^8.53/y + t^8.63/y + (3*t^8.72)/y - (2*t^8.81)/y - t^4.22*y - t^6.37*y - 2*t^6.66*y + t^7.5*y + 2*t^7.59*y + 4*t^7.78*y + 2*t^7.87*y + 2*t^8.06*y + 3*t^8.16*y + t^8.34*y + 3*t^8.44*y - t^8.53*y + t^8.63*y + 3*t^8.72*y - 2*t^8.81*y | t^2.16/g1^3 + g1^3*t^2.34 + (2*t^2.44)/g1^2 + t^2.72/g1 + t^3. + g1*t^3.28 + g1^4*t^4.13 + t^4.31/g1^6 + g1^5*t^4.41 + t^4.5 + (2*t^4.59)/g1^5 + g1^6*t^4.69 + 3*g1*t^4.78 + (4*t^4.87)/g1^4 + g1^2*t^5.06 + (2*t^5.16)/g1^3 + g1^3*t^5.34 + (3*t^5.44)/g1^2 + g1^4*t^5.63 + (2*t^5.72)/g1 - t^6. - t^6.37/g1^4 + t^6.47/g1^9 + g1^7*t^6.47 + 2*g1^2*t^6.56 + (2*t^6.75)/g1^8 + g1^8*t^6.75 + 2*g1^3*t^6.84 + (2*t^6.94)/g1^2 + (4*t^7.03)/g1^7 + g1^9*t^7.03 + 2*g1^4*t^7.13 + (4*t^7.22)/g1 + (6*t^7.31)/g1^6 + 2*g1^5*t^7.41 + t^7.5 + (4*t^7.59)/g1^5 + g1^6*t^7.69 + 2*g1*t^7.78 + (4*t^7.87)/g1^4 + g1^2*t^8.06 + t^8.16/g1^3 + g1^8*t^8.25 - 3*g1^3*t^8.34 - (3*t^8.44)/g1^2 - t^8.53/g1^7 + g1^9*t^8.53 + t^8.62/g1^12 - g1^4*t^8.63 - (2*t^8.72)/g1 - t^8.81/g1^6 + 2*g1^10*t^8.81 + (2*t^8.9)/g1^11 + 2*g1^5*t^8.91 - t^4.22/(g1*y) - t^6.37/(g1^4*y) - (2*t^6.66)/(g1^3*y) + t^7.5/y + (2*t^7.59)/(g1^5*y) + (4*g1*t^7.78)/y + (2*t^7.87)/(g1^4*y) + (2*g1^2*t^8.06)/y + (3*t^8.16)/(g1^3*y) + (g1^3*t^8.34)/y + (3*t^8.44)/(g1^2*y) - t^8.53/(g1^7*y) + (g1^4*t^8.63)/y + (3*t^8.72)/(g1*y) - (2*t^8.81)/(g1^6*y) - (t^4.22*y)/g1 - (t^6.37*y)/g1^4 - (2*t^6.66*y)/g1^3 + t^7.5*y + (2*t^7.59*y)/g1^5 + 4*g1*t^7.78*y + (2*t^7.87*y)/g1^4 + 2*g1^2*t^8.06*y + (3*t^8.16*y)/g1^3 + g1^3*t^8.34*y + (3*t^8.44*y)/g1^2 - (t^8.53*y)/g1^7 + g1^4*t^8.63*y + (3*t^8.72*y)/g1 - (2*t^8.81*y)/g1^6 |
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 761 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_1M_5$ + $ M_2X_1$ + $ M_3^2$ | 0.5673 | 0.7067 | 0.8027 | [X:[1.4481], M:[0.9104, 0.5519, 1.0, 0.8208, 1.0896], q:[0.8396, 0.75], qb:[0.25, 0.5188], phi:[0.4104]] | t^2.31 + 2*t^2.46 + t^2.73 + t^3. + t^3.27 + t^3.81 + t^4.08 + t^4.34 + t^4.61 + 3*t^4.77 + 3*t^4.92 + t^5.04 + t^5.19 + t^5.31 + 2*t^5.46 + t^5.58 + 2*t^5.73 - t^6. - t^4.23/y - t^4.23*y | detail |