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 |
|---|---|---|---|---|---|---|---|---|---|
| 46751 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1M_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ \phi_1q_2\tilde{q}_2$ + $ M_2M_4$ | 0.5709 | 0.6959 | 0.8204 | [X:[], M:[0.9543, 1.0457, 0.7884, 0.9543], q:[0.5228, 0.5228], qb:[0.4315, 1.1286], phi:[0.3486]] | [X:[], M:[[6], [-6], [-16], [6]], q:[[-3], [-3]], qb:[[9], [5]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^2$, $ M_3$, $ M_1$, $ M_4$, $ q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1^4$, $ \phi_1q_2^2$, $ M_3\phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_1\phi_1^2$, $ M_4\phi_1^2$, $ \phi_1^2q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ M_1M_3$, $ M_3M_4$, $ M_3q_2\tilde{q}_1$, $ M_1^2$, $ M_1M_4$, $ M_4^2$, $ M_4q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$ | $\phi_1^3q_2\tilde{q}_1$ | -3 | t^2.09 + t^2.37 + 3*t^2.86 + t^3.91 + 2*t^4.18 + t^4.46 + t^4.68 + t^4.73 + 4*t^4.95 + 2*t^5.23 + 5*t^5.73 - 3*t^6. + t^6.27 + 2*t^6.55 + t^6.77 + t^6.82 + 4*t^7.05 + t^7.1 + 2*t^7.32 + 2*t^7.54 + 2*t^7.59 + 4*t^7.82 - t^8.09 - t^8.37 + 6*t^8.59 + t^8.64 - 9*t^8.86 + 2*t^8.91 - t^4.05/y - t^6.14/y - t^6.41/y - t^6.91/y + t^7.18/y + t^7.46/y + t^7.68/y + (4*t^7.95)/y + (2*t^8.23)/y - t^8.5/y + (3*t^8.73)/y - t^8.78/y - t^4.05*y - t^6.14*y - t^6.41*y - t^6.91*y + t^7.18*y + t^7.46*y + t^7.68*y + 4*t^7.95*y + 2*t^8.23*y - t^8.5*y + 3*t^8.73*y - t^8.78*y | t^2.09/g1^4 + t^2.37/g1^16 + 3*g1^6*t^2.86 + g1^4*t^3.91 + (2*t^4.18)/g1^8 + t^4.46/g1^20 + g1^14*t^4.68 + t^4.73/g1^32 + 4*g1^2*t^4.95 + (2*t^5.23)/g1^10 + 5*g1^12*t^5.73 - 3*t^6. + t^6.27/g1^12 + (2*t^6.55)/g1^24 + g1^10*t^6.77 + t^6.82/g1^36 + (4*t^7.05)/g1^2 + t^7.1/g1^48 + (2*t^7.32)/g1^14 + 2*g1^20*t^7.54 + (2*t^7.59)/g1^26 + 4*g1^8*t^7.82 - t^8.09/g1^4 - t^8.37/g1^16 + 6*g1^18*t^8.59 + t^8.64/g1^28 - 9*g1^6*t^8.86 + (2*t^8.91)/g1^40 - t^4.05/(g1^2*y) - t^6.14/(g1^6*y) - t^6.41/(g1^18*y) - (g1^4*t^6.91)/y + t^7.18/(g1^8*y) + t^7.46/(g1^20*y) + (g1^14*t^7.68)/y + (4*g1^2*t^7.95)/y + (2*t^8.23)/(g1^10*y) - t^8.5/(g1^22*y) + (3*g1^12*t^8.73)/y - t^8.78/(g1^34*y) - (t^4.05*y)/g1^2 - (t^6.14*y)/g1^6 - (t^6.41*y)/g1^18 - g1^4*t^6.91*y + (t^7.18*y)/g1^8 + (t^7.46*y)/g1^20 + g1^14*t^7.68*y + 4*g1^2*t^7.95*y + (2*t^8.23*y)/g1^10 - (t^8.5*y)/g1^22 + 3*g1^12*t^8.73*y - (t^8.78*y)/g1^34 |
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 |
|---|---|---|---|---|---|---|---|---|
| 47156 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1M_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ \phi_1q_2\tilde{q}_2$ + $ M_2M_4$ + $ M_3^2$ | 0.5479 | 0.6729 | 0.8142 | [X:[], M:[0.875, 1.125, 1.0, 0.875], q:[0.5625, 0.5625], qb:[0.3125, 1.0625], phi:[0.375]] | t^2.25 + 3*t^2.62 + t^3. + t^3.75 + t^4.12 + 2*t^4.5 + 4*t^4.88 + 6*t^5.25 + 2*t^5.62 - 2*t^6. - t^4.12/y - t^4.12*y | detail | {a: 561/1024, c: 689/1024, M1: 7/8, M2: 9/8, M3: 1, M4: 7/8, q1: 9/16, q2: 9/16, qb1: 5/16, qb2: 17/16, phi1: 3/8} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46160 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1M_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ \phi_1q_2\tilde{q}_2$ | 0.5672 | 0.6901 | 0.8219 | [X:[], M:[0.9661, 1.0339, 0.7571], q:[0.517, 0.517], qb:[0.4491, 1.1384], phi:[0.3446]] | t^2.07 + t^2.27 + 2*t^2.9 + t^3.1 + t^3.93 + 2*t^4.14 + t^4.34 + t^4.54 + t^4.76 + 3*t^4.97 + 2*t^5.17 + t^5.37 + 2*t^5.8 - t^6. - t^4.03/y - t^4.03*y | detail |