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 |
|---|---|---|---|---|---|---|---|---|---|
| 2814 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ | 0.6438 | 0.846 | 0.761 | [X:[], M:[0.9915, 1.0254, 0.7394, 0.7563, 0.7733], q:[0.7479, 0.2606], qb:[0.4958, 0.4789], phi:[0.5042]] | [X:[], M:[[4], [-12], [5], [-3], [-11]], q:[[1], [-5]], qb:[[2], [10]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ q_2\tilde{q}_2$, $ M_4$, $ q_2\tilde{q}_1$, $ M_5$, $ M_1$, $ \phi_1^2$, $ M_2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_3^2$, $ M_3q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_3M_4$, $ M_3q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_4q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_3M_5$, $ \phi_1q_1q_2$, $ M_4q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_5q_2\tilde{q}_2$, $ M_4M_5$, $ M_5q_2\tilde{q}_1$, $ M_5^2$, $ M_1M_3$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_4$, $ M_3\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_2$, $ M_2M_3$, $ M_1M_5$, $ M_4\phi_1^2$, $ M_3\phi_1q_2^2$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_2$, $ M_2M_4$, $ M_5\phi_1^2$, $ M_4\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_1$, $ M_2M_5$, $ M_5\phi_1q_2^2$, $ M_1^2$, $ M_3q_1\tilde{q}_1$ | $q_1q_2\tilde{q}_1^2$ | -1 | 2*t^2.22 + 2*t^2.27 + t^2.32 + t^2.97 + t^3.03 + 2*t^3.08 + t^3.73 + t^4.39 + 4*t^4.44 + 5*t^4.49 + 5*t^4.54 + 2*t^4.59 + t^4.64 + 2*t^5.19 + 4*t^5.24 + 6*t^5.29 + 4*t^5.35 + 2*t^5.4 + t^5.95 - t^6. + t^6.05 + 2*t^6.1 + 3*t^6.15 + 2*t^6.6 + 6*t^6.65 + 8*t^6.71 + 9*t^6.76 + 8*t^6.81 + 4*t^6.86 + 2*t^6.91 + t^6.96 + 3*t^7.41 + 6*t^7.46 + 11*t^7.51 + 11*t^7.56 + 10*t^7.61 + 4*t^7.66 + 2*t^7.72 - 2*t^8.17 - 6*t^8.22 - 3*t^8.27 + t^8.32 + 8*t^8.37 + 6*t^8.42 + 3*t^8.47 + t^8.77 + 4*t^8.82 + 9*t^8.87 + 10*t^8.92 + 8*t^8.97 - t^4.51/y - t^6.73/y - t^6.78/y - t^6.83/y + (2*t^7.44)/y + (4*t^7.49)/y + (3*t^7.54)/y + t^7.59/y + (3*t^8.19)/y + (5*t^8.24)/y + (8*t^8.29)/y + (5*t^8.35)/y + (2*t^8.4)/y + t^8.95/y - t^4.51*y - t^6.73*y - t^6.78*y - t^6.83*y + 2*t^7.44*y + 4*t^7.49*y + 3*t^7.54*y + t^7.59*y + 3*t^8.19*y + 5*t^8.24*y + 8*t^8.29*y + 5*t^8.35*y + 2*t^8.4*y + t^8.95*y | 2*g1^5*t^2.22 + (2*t^2.27)/g1^3 + t^2.32/g1^11 + g1^4*t^2.97 + t^3.03/g1^4 + (2*t^3.08)/g1^12 + g1^3*t^3.73 + g1^18*t^4.39 + 4*g1^10*t^4.44 + 5*g1^2*t^4.49 + (5*t^4.54)/g1^6 + (2*t^4.59)/g1^14 + t^4.64/g1^22 + 2*g1^9*t^5.19 + 4*g1*t^5.24 + (6*t^5.29)/g1^7 + (4*t^5.35)/g1^15 + (2*t^5.4)/g1^23 + g1^8*t^5.95 - t^6. + t^6.05/g1^8 + (2*t^6.1)/g1^16 + (3*t^6.15)/g1^24 + 2*g1^23*t^6.6 + 6*g1^15*t^6.65 + 8*g1^7*t^6.71 + (9*t^6.76)/g1 + (8*t^6.81)/g1^9 + (4*t^6.86)/g1^17 + (2*t^6.91)/g1^25 + t^6.96/g1^33 + 3*g1^14*t^7.41 + 6*g1^6*t^7.46 + (11*t^7.51)/g1^2 + (11*t^7.56)/g1^10 + (10*t^7.61)/g1^18 + (4*t^7.66)/g1^26 + (2*t^7.72)/g1^34 - 2*g1^13*t^8.17 - 6*g1^5*t^8.22 - (3*t^8.27)/g1^3 + t^8.32/g1^11 + (8*t^8.37)/g1^19 + (6*t^8.42)/g1^27 + (3*t^8.47)/g1^35 + g1^36*t^8.77 + 4*g1^28*t^8.82 + 9*g1^20*t^8.87 + 10*g1^12*t^8.92 + 8*g1^4*t^8.97 - t^4.51/(g1^2*y) - (g1^3*t^6.73)/y - t^6.78/(g1^5*y) - t^6.83/(g1^13*y) + (2*g1^10*t^7.44)/y + (4*g1^2*t^7.49)/y + (3*t^7.54)/(g1^6*y) + t^7.59/(g1^14*y) + (3*g1^9*t^8.19)/y + (5*g1*t^8.24)/y + (8*t^8.29)/(g1^7*y) + (5*t^8.35)/(g1^15*y) + (2*t^8.4)/(g1^23*y) + (g1^8*t^8.95)/y - (t^4.51*y)/g1^2 - g1^3*t^6.73*y - (t^6.78*y)/g1^5 - (t^6.83*y)/g1^13 + 2*g1^10*t^7.44*y + 4*g1^2*t^7.49*y + (3*t^7.54*y)/g1^6 + (t^7.59*y)/g1^14 + 3*g1^9*t^8.19*y + 5*g1*t^8.24*y + (8*t^8.29*y)/g1^7 + (5*t^8.35*y)/g1^15 + (2*t^8.4*y)/g1^23 + g1^8*t^8.95*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 |
|---|---|---|---|---|---|---|---|---|
| 3344 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ M_5\phi_1q_2^2$ | 0.6321 | 0.8304 | 0.7611 | [X:[], M:[0.9565, 1.1304, 0.6957, 0.7826, 0.8696], q:[0.7391, 0.3043], qb:[0.4783, 0.3913], phi:[0.5217]] | 2*t^2.09 + 2*t^2.35 + t^2.61 + t^2.87 + t^3.13 + 2*t^3.39 + t^3.65 + t^3.91 + 4*t^4.17 + 5*t^4.43 + 5*t^4.7 + 4*t^4.96 + 5*t^5.22 + 6*t^5.48 + 5*t^5.74 + 3*t^6. - t^4.57/y - t^4.57*y | detail | {a: 123045/194672, c: 80831/97336, M1: 22/23, M2: 26/23, M3: 16/23, M4: 18/23, M5: 20/23, q1: 17/23, q2: 7/23, qb1: 11/23, qb2: 9/23, phi1: 12/23} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1800 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_3\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ | 0.6264 | 0.8149 | 0.7686 | [X:[], M:[0.9832, 1.0505, 0.729, 0.7626], q:[0.7458, 0.271], qb:[0.4916, 0.4579], phi:[0.5084]] | 2*t^2.19 + 2*t^2.29 + t^2.95 + t^3.05 + 2*t^3.15 + t^3.61 + t^3.71 + t^4.27 + 4*t^4.37 + 5*t^4.47 + 3*t^4.58 + 2*t^5.14 + 4*t^5.24 + 5*t^5.34 + 3*t^5.44 + 2*t^5.8 + 3*t^5.9 - t^6. - t^4.53/y - t^4.53*y | detail |