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 |
|---|---|---|---|---|---|---|---|---|---|
| 1609 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_1M_7$ | 0.6465 | 0.8092 | 0.799 | [X:[], M:[1.2006, 1.1996, 0.8013, 0.7994, 0.7994, 0.7985, 0.7994], q:[0.7999, 0.3988], qb:[0.4007, 0.7999], phi:[0.4002]] | [X:[], M:[[-6], [4], [-14], [6], [6], [16], [6]], q:[[1], [13]], qb:[[-7], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_4$, $ M_5$, $ M_7$, $ M_6$, $ \phi_1q_2^2$, $ M_2$, $ \phi_1q_2\tilde{q}_1$, $ q_1q_2$, $ M_4M_6$, $ M_5M_6$, $ M_6M_7$, $ M_6^2$, $ M_3M_4$, $ M_3M_5$, $ M_3M_7$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3M_6$, $ q_1\tilde{q}_2$, $ M_4^2$, $ M_4M_5$, $ M_5^2$, $ M_4M_7$, $ M_5M_7$, $ M_7^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3^2$, $ M_2M_6$, $ M_4q_1q_2$, $ M_5q_1q_2$, $ M_7q_1q_2$, $ M_6\phi_1q_2\tilde{q}_1$, $ M_6q_1q_2$, $ M_4\phi_1q_2^2$, $ M_5\phi_1q_2^2$, $ M_7\phi_1q_2^2$, $ M_6\phi_1q_2^2$ | $M_2M_3$, $ M_2M_4$, $ M_2M_5$, $ M_2M_7$, $ M_4\phi_1q_2\tilde{q}_1$, $ M_5\phi_1q_2\tilde{q}_1$, $ M_7\phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$ | 3 | 5*t^2.4 + t^3.59 + 3*t^3.6 + 4*t^4.79 + 11*t^4.8 + t^4.81 + 9*t^5.99 + 3*t^6. - t^6.01 + 25*t^7.19 + 5*t^7.2 + 3*t^7.21 + t^8.38 + 22*t^8.39 - 10*t^8.4 - t^8.41 - t^4.2/y - (4*t^6.6)/y + (3*t^7.79)/y + (10*t^7.8)/y + t^7.81/y + (7*t^8.99)/y - t^4.2*y - 4*t^6.6*y + 3*t^7.79*y + 10*t^7.8*y + t^7.81*y + 7*t^8.99*y | t^2.4/g1^14 + 3*g1^6*t^2.4 + g1^16*t^2.4 + g1^24*t^3.59 + 2*g1^4*t^3.6 + g1^14*t^3.6 + 3*g1^22*t^4.79 + g1^32*t^4.79 + (3*t^4.8)/g1^8 + 2*g1^2*t^4.8 + 6*g1^12*t^4.8 + t^4.81/g1^28 + 4*g1^20*t^5.99 + 4*g1^30*t^5.99 + g1^40*t^5.99 - 2*t^6. + 5*g1^10*t^6. - t^6.01/g1^20 + 11*g1^18*t^7.19 + 8*g1^28*t^7.19 + 4*g1^38*t^7.19 + 2*g1^48*t^7.19 - t^7.2/g1^12 + (2*t^7.2)/g1^2 + 4*g1^8*t^7.2 + t^7.21/g1^42 + (2*t^7.21)/g1^22 + g1^56*t^8.38 + 8*g1^26*t^8.39 + 10*g1^36*t^8.39 + 4*g1^46*t^8.39 - (6*t^8.4)/g1^14 - (3*t^8.4)/g1^4 - 7*g1^6*t^8.4 + 6*g1^16*t^8.4 - t^8.41/g1^34 - t^4.2/(g1^2*y) - t^6.6/(g1^16*y) - (2*g1^4*t^6.6)/y - (g1^14*t^6.6)/y + (3*g1^22*t^7.79)/y + (5*t^7.8)/(g1^8*y) + (g1^2*t^7.8)/y + (4*g1^12*t^7.8)/y + t^7.81/(g1^18*y) + (3*g1^20*t^8.99)/y + (3*g1^30*t^8.99)/y + (g1^40*t^8.99)/y - (t^4.2*y)/g1^2 - (t^6.6*y)/g1^16 - 2*g1^4*t^6.6*y - g1^14*t^6.6*y + 3*g1^22*t^7.79*y + (5*t^7.8*y)/g1^8 + g1^2*t^7.8*y + 4*g1^12*t^7.8*y + (t^7.81*y)/g1^18 + 3*g1^20*t^8.99*y + 3*g1^30*t^8.99*y + g1^40*t^8.99*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 |
|---|---|---|---|---|---|---|---|---|
| 3993 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_1M_7$ + $ M_3M_8$ | 0.6307 | 0.7848 | 0.8036 | [X:[], M:[1.2095, 1.1937, 0.8221, 0.7905, 0.7905, 0.7748, 0.7905, 1.1779], q:[0.7984, 0.3795], qb:[0.411, 0.7984], phi:[0.4032]] | t^2.32 + 3*t^2.37 + t^3.49 + 2*t^3.53 + 2*t^3.58 + t^4.65 + 3*t^4.7 + 6*t^4.74 + t^4.79 + t^5.81 + 5*t^5.86 + 7*t^5.91 + 4*t^5.95 - 3*t^6. - t^4.21/y - t^4.21*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1031 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_6\phi_1\tilde{q}_1^2$ | 0.6301 | 0.7794 | 0.8084 | [X:[], M:[1.1971, 1.202, 0.7931, 0.8029, 0.8029, 0.8078], q:[0.8005, 0.4064], qb:[0.3966, 0.8005], phi:[0.399]] | t^2.38 + 2*t^2.41 + t^2.42 + t^3.59 + 2*t^3.61 + t^3.62 + t^3.64 + t^4.76 + 2*t^4.79 + 2*t^4.8 + 3*t^4.82 + 2*t^4.83 + t^4.85 - t^4.2/y - t^4.2*y | detail |