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 |
|---|---|---|---|---|---|---|---|---|---|
| 1693 | 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_5\phi_1q_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_1q_2$ + $ M_7q_1\tilde{q}_2$ | 0.7222 | 0.918 | 0.7868 | [X:[], M:[1.0112, 1.1208, 0.9452, 0.6812, 0.7472, 0.8132, 0.7472], q:[0.7802, 0.4066], qb:[0.5822, 0.4726], phi:[0.4396]] | [X:[], M:[[32], [-12], [22], [-18], [-8], [2], [-8]], q:[[-3], [1]], qb:[[-33], [11]], phi:[[6]]] | 1 | {a: 154491721/213903408, c: 98181703/106951704, M1: 6404/6333, M2: 2366/2111, M3: 5986/6333, M4: 1438/2111, M5: 4732/6333, M6: 5150/6333, M7: 4732/6333, q1: 1647/2111, q2: 2575/6333, qb1: 1229/2111, qb2: 2993/6333, phi1: 928/2111} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_5$, $ M_7$, $ M_6$, $ \phi_1^2$, $ M_3$, $ M_1$, $ M_2$, $ M_4^2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_4M_5$, $ M_4M_7$, $ \phi_1q_2\tilde{q}_1$, $ M_5^2$, $ M_4M_6$, $ M_5M_7$, $ M_7^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5M_6$, $ M_6M_7$, $ M_4\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_3M_4$, $ M_6^2$, $ M_5\phi_1^2$, $ M_7\phi_1^2$, $ M_1M_4$, $ M_3M_5$, $ M_3M_7$, $ M_6\phi_1^2$, $ M_1M_5$, $ M_3M_6$, $ M_1M_7$, $ \phi_1^4$, $ M_2M_4$, $ M_1M_6$, $ M_3\phi_1^2$, $ M_2M_5$, $ M_2M_7$, $ M_3^2$, $ M_1\phi_1^2$, $ M_1M_3$ | . | -2 | t^2.04 + 2*t^2.24 + t^2.44 + t^2.64 + t^2.84 + t^3.03 + t^3.36 + 2*t^4.09 + t^4.15 + 3*t^4.29 + 5*t^4.48 + 3*t^4.68 + t^4.81 + 4*t^4.88 + 4*t^5.08 + 4*t^5.28 + t^5.41 + t^5.47 + 2*t^5.6 + t^5.67 + t^5.87 - 2*t^6. + t^6.07 + 2*t^6.13 + 4*t^6.33 + 2*t^6.4 + 7*t^6.53 + 10*t^6.72 + t^6.86 + 8*t^6.92 + 2*t^7.05 + 8*t^7.12 + t^7.19 + t^7.25 + 9*t^7.32 + 2*t^7.45 + 8*t^7.52 + 2*t^7.65 + 4*t^7.71 + 2*t^7.85 + 4*t^7.91 - 4*t^8.04 + 4*t^8.11 + 3*t^8.17 - 6*t^8.24 + 4*t^8.31 + 4*t^8.37 - 4*t^8.44 + 2*t^8.51 + 8*t^8.57 + t^8.7 + 11*t^8.77 - 5*t^8.84 + 3*t^8.9 + 18*t^8.97 - t^4.32/y - t^6.36/y - (2*t^6.56)/y - t^6.76/y - t^7.15/y + (3*t^7.29)/y - t^7.35/y + (3*t^7.48)/y + (3*t^7.68)/y + (4*t^7.88)/y + (6*t^8.08)/y + (4*t^8.28)/y + (2*t^8.47)/y + t^8.67/y - (3*t^8.8)/y + t^8.87/y - t^4.32*y - t^6.36*y - 2*t^6.56*y - t^6.76*y - t^7.15*y + 3*t^7.29*y - t^7.35*y + 3*t^7.48*y + 3*t^7.68*y + 4*t^7.88*y + 6*t^8.08*y + 4*t^8.28*y + 2*t^8.47*y + t^8.67*y - 3*t^8.8*y + t^8.87*y | t^2.04/g1^18 + (2*t^2.24)/g1^8 + g1^2*t^2.44 + g1^12*t^2.64 + g1^22*t^2.84 + g1^32*t^3.03 + t^3.36/g1^12 + (2*t^4.09)/g1^36 + g1^28*t^4.15 + (3*t^4.29)/g1^26 + (5*t^4.48)/g1^16 + (3*t^4.68)/g1^6 + t^4.81/g1^60 + 4*g1^4*t^4.88 + 4*g1^14*t^5.08 + 4*g1^24*t^5.28 + t^5.41/g1^30 + g1^34*t^5.47 + (2*t^5.6)/g1^20 + g1^44*t^5.67 + g1^54*t^5.87 - 2*t^6. + g1^64*t^6.07 + (2*t^6.13)/g1^54 + (4*t^6.33)/g1^44 + 2*g1^20*t^6.4 + (7*t^6.53)/g1^34 + (10*t^6.72)/g1^24 + t^6.86/g1^78 + (8*t^6.92)/g1^14 + (2*t^7.05)/g1^68 + (8*t^7.12)/g1^4 + g1^60*t^7.19 + t^7.25/g1^58 + 9*g1^6*t^7.32 + (2*t^7.45)/g1^48 + 8*g1^16*t^7.52 + (2*t^7.65)/g1^38 + 4*g1^26*t^7.71 + (2*t^7.85)/g1^28 + 4*g1^36*t^7.91 - (4*t^8.04)/g1^18 + 4*g1^46*t^8.11 + (3*t^8.17)/g1^72 - (6*t^8.24)/g1^8 + 4*g1^56*t^8.31 + (4*t^8.37)/g1^62 - 4*g1^2*t^8.44 + 2*g1^66*t^8.51 + (8*t^8.57)/g1^52 + g1^76*t^8.7 + (11*t^8.77)/g1^42 - 5*g1^22*t^8.84 + (2*t^8.9)/g1^96 + g1^86*t^8.9 + (18*t^8.97)/g1^32 - (g1^6*t^4.32)/y - t^6.36/(g1^12*y) - (2*t^6.56)/(g1^2*y) - (g1^8*t^6.76)/y - (g1^28*t^7.15)/y + (3*t^7.29)/(g1^26*y) - (g1^38*t^7.35)/y + (3*t^7.48)/(g1^16*y) + (3*t^7.68)/(g1^6*y) + (4*g1^4*t^7.88)/y + (6*g1^14*t^8.08)/y + (4*g1^24*t^8.28)/y + (2*g1^34*t^8.47)/y + (g1^44*t^8.67)/y - (3*t^8.8)/(g1^10*y) + (g1^54*t^8.87)/y - g1^6*t^4.32*y - (t^6.36*y)/g1^12 - (2*t^6.56*y)/g1^2 - g1^8*t^6.76*y - g1^28*t^7.15*y + (3*t^7.29*y)/g1^26 - g1^38*t^7.35*y + (3*t^7.48*y)/g1^16 + (3*t^7.68*y)/g1^6 + 4*g1^4*t^7.88*y + 6*g1^14*t^8.08*y + 4*g1^24*t^8.28*y + 2*g1^34*t^8.47*y + g1^44*t^8.67*y - (3*t^8.8*y)/g1^10 + g1^54*t^8.87*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 |
|---|---|---|---|---|---|---|---|---|
| 4081 | $\phi_1q_1^2$ + $ 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_5\phi_1q_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_1q_2$ + $ M_7q_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4X_1$ | 0.7007 | 0.8767 | 0.7993 | [X:[1.3333], M:[1.037, 1.1111, 0.963, 0.6667, 0.7407, 0.8148, 0.7407], q:[0.7778, 0.4074], qb:[0.5556, 0.4815], phi:[0.4444]] | 2*t^2.22 + t^2.44 + t^2.67 + t^2.89 + t^3.11 + t^3.33 + 2*t^4. + 2*t^4.22 + 4*t^4.44 + 3*t^4.67 + 3*t^4.89 + 3*t^5.11 + 4*t^5.33 + 3*t^5.56 + t^5.78 - t^6. - t^4.33/y - t^4.33*y | detail | {a: 3065/4374, c: 7669/8748, X1: 4/3, M1: 28/27, M2: 10/9, M3: 26/27, M4: 2/3, M5: 20/27, M6: 22/27, M7: 20/27, q1: 7/9, q2: 11/27, qb1: 5/9, qb2: 13/27, phi1: 4/9} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1089 | 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_5\phi_1q_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_1q_2$ | 0.7031 | 0.883 | 0.7963 | [X:[], M:[1.0063, 1.1227, 0.9418, 0.684, 0.7484, 0.8129], q:[0.7807, 0.4064], qb:[0.5873, 0.4709], phi:[0.4387]] | t^2.05 + t^2.25 + t^2.44 + t^2.63 + t^2.83 + t^3.02 + t^3.37 + t^3.75 + 2*t^4.1 + t^4.14 + 2*t^4.3 + 3*t^4.49 + 2*t^4.68 + t^4.84 + 3*t^4.88 + 3*t^5.07 + 3*t^5.26 + t^5.42 + t^5.46 + t^5.61 + t^5.65 + t^5.81 + t^5.84 - t^6. - t^4.32/y - t^4.32*y | detail | {a: 2701375/3841992, c: 424037/480249, M1: 2092/2079, M2: 778/693, M3: 178/189, M4: 158/231, M5: 1556/2079, M6: 1690/2079, q1: 541/693, q2: 845/2079, qb1: 37/63, qb2: 89/189, phi1: 304/693} |