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 |
|---|---|---|---|---|---|---|---|---|---|
| 1629 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_5$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1q_2^2$ | 0.7193 | 0.9125 | 0.7883 | [X:[], M:[1.0, 1.117, 0.9737, 0.6754, 0.883, 0.7661, 0.7017], q:[0.7792, 0.4284], qb:[0.5716, 0.4547], phi:[0.4415]] | [X:[], M:[[0], [4], [-18], [6], [-4], [-8], [24]], q:[[1], [-11]], qb:[[11], [7]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_7$, $ M_6$, $ M_5$, $ \phi_1^2$, $ M_3$, $ M_1$, $ q_1q_2$, $ M_4^2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_4M_7$, $ M_7^2$, $ M_4M_6$, $ \phi_1q_2\tilde{q}_1$, $ M_6M_7$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_6^2$, $ M_4M_5$, $ M_4\phi_1^2$, $ M_5M_7$, $ M_7\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_3M_4$, $ M_5M_6$, $ M_6\phi_1^2$, $ M_1M_4$, $ M_3M_7$, $ M_1M_7$, $ M_3M_6$, $ M_5^2$, $ M_1M_6$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_3M_5$, $ M_3\phi_1^2$, $ M_1M_5$, $ M_1\phi_1^2$, $ M_4q_1q_2$, $ M_7q_1q_2$, $ M_3^2$, $ M_1M_3$, $ M_6q_1q_2$ | . | -2 | t^2.03 + t^2.11 + t^2.3 + 2*t^2.65 + t^2.92 + t^3. + t^3.62 + 3*t^4.05 + t^4.13 + t^4.21 + 2*t^4.32 + 2*t^4.4 + t^4.6 + 2*t^4.68 + 3*t^4.75 + 3*t^4.95 + 2*t^5.03 + t^5.11 + t^5.22 + 4*t^5.3 + t^5.57 + 2*t^5.65 + t^5.73 + t^5.84 + t^5.92 - 2*t^6. + 2*t^6.08 + 3*t^6.16 + t^6.24 + t^6.27 + t^6.32 + 2*t^6.35 + 2*t^6.43 + 2*t^6.51 + t^6.54 + 2*t^6.62 + 6*t^6.7 + 3*t^6.78 + 3*t^6.86 + 4*t^6.97 + 7*t^7.05 + 2*t^7.13 + t^7.21 + 3*t^7.25 + 4*t^7.32 + 4*t^7.4 + t^7.52 + 4*t^7.6 + 3*t^7.68 + t^7.75 + t^7.83 + 2*t^7.87 + 6*t^7.95 - 2*t^8.03 + t^8.11 + t^8.14 + 2*t^8.18 + 2*t^8.22 + 3*t^8.26 - 2*t^8.3 + t^8.34 + 2*t^8.38 + t^8.42 + 3*t^8.46 + t^8.49 + 2*t^8.53 + t^8.57 + 2*t^8.61 - 2*t^8.65 + 3*t^8.73 + t^8.76 + 9*t^8.81 + t^8.84 + 3*t^8.89 + 3*t^8.96 - t^4.32/y - t^6.35/y - t^6.43/y - t^6.62/y - t^6.97/y + t^7.13/y - t^7.25/y + t^7.32/y + (2*t^7.4)/y + (3*t^7.68)/y + (2*t^7.75)/y + (3*t^7.95)/y + (3*t^8.03)/y + t^8.11/y + (2*t^8.22)/y + (3*t^8.3)/y - t^8.38/y - t^8.46/y - t^8.53/y + (2*t^8.57)/y + (2*t^8.65)/y + t^8.92/y - t^4.32*y - t^6.35*y - t^6.43*y - t^6.62*y - t^6.97*y + t^7.13*y - t^7.25*y + t^7.32*y + 2*t^7.4*y + 3*t^7.68*y + 2*t^7.75*y + 3*t^7.95*y + 3*t^8.03*y + t^8.11*y + 2*t^8.22*y + 3*t^8.3*y - t^8.38*y - t^8.46*y - t^8.53*y + 2*t^8.57*y + 2*t^8.65*y + t^8.92*y | g1^6*t^2.03 + g1^24*t^2.11 + t^2.3/g1^8 + (2*t^2.65)/g1^4 + t^2.92/g1^18 + t^3. + t^3.62/g1^10 + 3*g1^12*t^4.05 + g1^30*t^4.13 + g1^48*t^4.21 + (2*t^4.32)/g1^2 + 2*g1^16*t^4.4 + t^4.6/g1^16 + 2*g1^2*t^4.68 + 3*g1^20*t^4.75 + (3*t^4.95)/g1^12 + 2*g1^6*t^5.03 + g1^24*t^5.11 + t^5.22/g1^26 + (4*t^5.3)/g1^8 + t^5.57/g1^22 + (2*t^5.65)/g1^4 + g1^14*t^5.73 + t^5.84/g1^36 + t^5.92/g1^18 - 2*t^6. + 2*g1^18*t^6.08 + 3*g1^36*t^6.16 + g1^54*t^6.24 + t^6.27/g1^14 + g1^72*t^6.32 + 2*g1^4*t^6.35 + 2*g1^22*t^6.43 + 2*g1^40*t^6.51 + t^6.54/g1^28 + (2*t^6.62)/g1^10 + 6*g1^8*t^6.7 + 3*g1^26*t^6.78 + 3*g1^44*t^6.86 + (4*t^6.97)/g1^6 + 7*g1^12*t^7.05 + 2*g1^30*t^7.13 + g1^48*t^7.21 + (3*t^7.25)/g1^20 + (4*t^7.32)/g1^2 + 4*g1^16*t^7.4 + t^7.52/g1^34 + (4*t^7.6)/g1^16 + 3*g1^2*t^7.68 + g1^20*t^7.75 + g1^38*t^7.83 + (2*t^7.87)/g1^30 + (6*t^7.95)/g1^12 - 2*g1^6*t^8.03 + g1^24*t^8.11 + t^8.14/g1^44 + 2*g1^42*t^8.18 + (2*t^8.22)/g1^26 + 3*g1^60*t^8.26 - (2*t^8.3)/g1^8 + g1^78*t^8.34 + 2*g1^10*t^8.38 + g1^96*t^8.42 + 3*g1^28*t^8.46 + t^8.49/g1^40 + 2*g1^46*t^8.53 + t^8.57/g1^22 + 2*g1^64*t^8.61 - (2*t^8.65)/g1^4 + 3*g1^14*t^8.73 + t^8.76/g1^54 + 9*g1^32*t^8.81 + t^8.84/g1^36 + 3*g1^50*t^8.89 + 3*g1^68*t^8.96 - t^4.32/(g1^2*y) - (g1^4*t^6.35)/y - (g1^22*t^6.43)/y - t^6.62/(g1^10*y) - t^6.97/(g1^6*y) + (g1^30*t^7.13)/y - t^7.25/(g1^20*y) + t^7.32/(g1^2*y) + (2*g1^16*t^7.4)/y + (3*g1^2*t^7.68)/y + (2*g1^20*t^7.75)/y + (3*t^7.95)/(g1^12*y) + (3*g1^6*t^8.03)/y + (g1^24*t^8.11)/y + (2*t^8.22)/(g1^26*y) + (3*t^8.3)/(g1^8*y) - (g1^10*t^8.38)/y - (g1^28*t^8.46)/y - (g1^46*t^8.53)/y + (2*t^8.57)/(g1^22*y) + (2*t^8.65)/(g1^4*y) + t^8.92/(g1^18*y) - (t^4.32*y)/g1^2 - g1^4*t^6.35*y - g1^22*t^6.43*y - (t^6.62*y)/g1^10 - (t^6.97*y)/g1^6 + g1^30*t^7.13*y - (t^7.25*y)/g1^20 + (t^7.32*y)/g1^2 + 2*g1^16*t^7.4*y + 3*g1^2*t^7.68*y + 2*g1^20*t^7.75*y + (3*t^7.95*y)/g1^12 + 3*g1^6*t^8.03*y + g1^24*t^8.11*y + (2*t^8.22*y)/g1^26 + (3*t^8.3*y)/g1^8 - g1^10*t^8.38*y - g1^28*t^8.46*y - g1^46*t^8.53*y + (2*t^8.57*y)/g1^22 + (2*t^8.65*y)/g1^4 + (t^8.92*y)/g1^18 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4020 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_5$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1q_2^2$ + $ M_7q_1q_2$ | 0.7019 | 0.8894 | 0.7892 | [X:[], M:[1.0, 1.1429, 0.8571, 0.7143, 0.8571, 0.7143, 0.8571], q:[0.7857, 0.3571], qb:[0.6429, 0.5], phi:[0.4286]] | 2*t^2.14 + 4*t^2.57 + t^3. + t^3.43 + 6*t^4.29 + 9*t^4.71 + 12*t^5.14 + 4*t^5.57 + t^6. - t^4.29/y - t^4.29*y | detail | {a: 963/1372, c: 4881/5488, M1: 1, M2: 8/7, M3: 6/7, M4: 5/7, M5: 6/7, M6: 5/7, M7: 6/7, q1: 11/14, q2: 5/14, qb1: 9/14, qb2: 1/2, phi1: 3/7} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1046 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_5$ + $ M_6q_1\tilde{q}_2$ | 0.699 | 0.874 | 0.7998 | [X:[], M:[1.0, 1.1201, 0.9596, 0.6801, 0.8799, 0.7598], q:[0.78, 0.4198], qb:[0.5802, 0.4601], phi:[0.44]] | t^2.04 + t^2.28 + 2*t^2.64 + t^2.88 + t^3. + t^3.6 + t^3.84 + 3*t^4.08 + 2*t^4.32 + t^4.44 + t^4.56 + 2*t^4.68 + t^4.8 + 3*t^4.92 + t^5.04 + t^5.16 + 4*t^5.28 + t^5.52 + 2*t^5.64 + t^5.76 + 2*t^5.88 - 2*t^6. - t^4.32/y - t^4.32*y | detail |