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 |
|---|---|---|---|---|---|---|---|---|---|
| 53825 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_3M_5$ + $ M_2^2$ + $ M_6\phi_1\tilde{q}_1^2$ | 0.701 | 0.8802 | 0.7964 | [X:[], M:[0.9819, 1.0, 1.1151, 0.6727, 0.8849, 0.6908], q:[0.5666, 0.4515], qb:[0.4334, 0.7788], phi:[0.4424]] | [X:[], M:[[-18], [0], [4], [6], [-4], [24]], q:[[11], [7]], qb:[[-11], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_6$, $ M_5$, $ \phi_1^2$, $ M_1$, $ M_2$, $ \tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ M_4^2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ M_4M_6$, $ M_6^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1q_2$, $ M_4M_5$, $ M_4\phi_1^2$, $ M_5M_6$, $ M_6\phi_1^2$, $ \phi_1q_1^2$, $ M_1M_4$, $ M_2M_4$, $ M_1M_6$, $ M_2M_6$, $ M_5^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_1M_5$, $ M_1\phi_1^2$, $ M_2M_5$, $ M_2\phi_1^2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ M_6\tilde{q}_1\tilde{q}_2$, $ M_6q_2\tilde{q}_2$, $ M_1^2$ | . | -2 | t^2.02 + t^2.07 + 2*t^2.65 + t^2.95 + t^3. + t^3.64 + t^3.69 + 3*t^4.04 + t^4.09 + t^4.14 + t^4.33 + t^4.38 + 2*t^4.67 + 3*t^4.73 + t^4.96 + 2*t^5.02 + t^5.07 + 3*t^5.31 + t^5.6 + 2*t^5.65 + 2*t^5.71 + t^5.76 + t^5.89 - 2*t^6. + 2*t^6.05 + 3*t^6.11 + t^6.16 + t^6.22 + t^6.29 + t^6.35 + t^6.4 + t^6.45 + t^6.58 + t^6.64 + 5*t^6.69 + 3*t^6.75 + 3*t^6.8 - t^6.93 + 2*t^6.98 + 4*t^7.04 + 2*t^7.09 + t^7.14 + 3*t^7.33 + 4*t^7.38 + 3*t^7.67 + 4*t^7.73 + 2*t^7.78 + t^7.84 + t^7.91 + 4*t^7.96 - 2*t^8.02 + 2*t^8.07 + 2*t^8.13 + 3*t^8.18 + t^8.24 + t^8.25 + t^8.29 + 2*t^8.36 + 3*t^8.42 + t^8.47 + t^8.53 + t^8.55 - 3*t^8.65 + 3*t^8.71 + 8*t^8.76 + 3*t^8.82 + t^8.84 + 3*t^8.87 - 2*t^8.95 - t^4.33/y - t^6.35/y - t^6.4/y - t^6.98/y + t^7.09/y - t^7.27/y + t^7.38/y + (3*t^7.67)/y + (2*t^7.73)/y + t^7.96/y + (2*t^8.02)/y + t^8.07/y + t^8.25/y + (2*t^8.31)/y - t^8.36/y - t^8.42/y - t^8.47/y + (2*t^8.6)/y + (3*t^8.65)/y + (2*t^8.71)/y + t^8.76/y + t^8.95/y - t^4.33*y - t^6.35*y - t^6.4*y - t^6.98*y + t^7.09*y - t^7.27*y + t^7.38*y + 3*t^7.67*y + 2*t^7.73*y + t^7.96*y + 2*t^8.02*y + t^8.07*y + t^8.25*y + 2*t^8.31*y - t^8.36*y - t^8.42*y - t^8.47*y + 2*t^8.6*y + 3*t^8.65*y + 2*t^8.71*y + t^8.76*y + t^8.95*y | g1^6*t^2.02 + g1^24*t^2.07 + (2*t^2.65)/g1^4 + t^2.95/g1^18 + t^3. + t^3.64/g1^10 + g1^8*t^3.69 + 3*g1^12*t^4.04 + g1^30*t^4.09 + g1^48*t^4.14 + t^4.33/g1^2 + g1^16*t^4.38 + 2*g1^2*t^4.67 + 3*g1^20*t^4.73 + t^4.96/g1^12 + 2*g1^6*t^5.02 + g1^24*t^5.07 + (3*t^5.31)/g1^8 + t^5.6/g1^22 + (2*t^5.65)/g1^4 + 2*g1^14*t^5.71 + g1^32*t^5.76 + t^5.89/g1^36 - 2*t^6. + 2*g1^18*t^6.05 + 3*g1^36*t^6.11 + g1^54*t^6.16 + g1^72*t^6.22 + t^6.29/g1^14 + g1^4*t^6.35 + g1^22*t^6.4 + g1^40*t^6.45 + t^6.58/g1^28 + t^6.64/g1^10 + 5*g1^8*t^6.69 + 3*g1^26*t^6.75 + 3*g1^44*t^6.8 - t^6.93/g1^24 + (2*t^6.98)/g1^6 + 4*g1^12*t^7.04 + 2*g1^30*t^7.09 + g1^48*t^7.14 + (3*t^7.33)/g1^2 + 4*g1^16*t^7.38 + 3*g1^2*t^7.67 + 4*g1^20*t^7.73 + 2*g1^38*t^7.78 + g1^56*t^7.84 + t^7.91/g1^30 + (4*t^7.96)/g1^12 - 2*g1^6*t^8.02 + 2*g1^24*t^8.07 + 2*g1^42*t^8.13 + 3*g1^60*t^8.18 + g1^78*t^8.24 + t^8.25/g1^26 + g1^96*t^8.29 + 2*g1^10*t^8.36 + 3*g1^28*t^8.42 + g1^46*t^8.47 + g1^64*t^8.53 + t^8.55/g1^40 - (3*t^8.65)/g1^4 + 3*g1^14*t^8.71 + 8*g1^32*t^8.76 + 3*g1^50*t^8.82 + t^8.84/g1^54 + 3*g1^68*t^8.87 - (2*t^8.95)/g1^18 - t^4.33/(g1^2*y) - (g1^4*t^6.35)/y - (g1^22*t^6.4)/y - t^6.98/(g1^6*y) + (g1^30*t^7.09)/y - t^7.27/(g1^20*y) + (g1^16*t^7.38)/y + (3*g1^2*t^7.67)/y + (2*g1^20*t^7.73)/y + t^7.96/(g1^12*y) + (2*g1^6*t^8.02)/y + (g1^24*t^8.07)/y + t^8.25/(g1^26*y) + (2*t^8.31)/(g1^8*y) - (g1^10*t^8.36)/y - (g1^28*t^8.42)/y - (g1^46*t^8.47)/y + (2*t^8.6)/(g1^22*y) + (3*t^8.65)/(g1^4*y) + (2*g1^14*t^8.71)/y + (g1^32*t^8.76)/y + t^8.95/(g1^18*y) - (t^4.33*y)/g1^2 - g1^4*t^6.35*y - g1^22*t^6.4*y - (t^6.98*y)/g1^6 + g1^30*t^7.09*y - (t^7.27*y)/g1^20 + g1^16*t^7.38*y + 3*g1^2*t^7.67*y + 2*g1^20*t^7.73*y + (t^7.96*y)/g1^12 + 2*g1^6*t^8.02*y + g1^24*t^8.07*y + (t^8.25*y)/g1^26 + (2*t^8.31*y)/g1^8 - g1^10*t^8.36*y - g1^28*t^8.42*y - g1^46*t^8.47*y + (2*t^8.6*y)/g1^22 + (3*t^8.65*y)/g1^4 + 2*g1^14*t^8.71*y + g1^32*t^8.76*y + (t^8.95*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 |
|---|---|---|---|---|---|---|---|---|
| 56490 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_3M_5$ + $ M_2^2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_6q_2\tilde{q}_2$ | 0.6985 | 0.8743 | 0.7989 | [X:[], M:[0.9375, 1.0, 1.125, 0.6875, 0.875, 0.75], q:[0.5938, 0.4688], qb:[0.4062, 0.7812], phi:[0.4375]] | t^2.06 + t^2.25 + 2*t^2.62 + t^2.81 + t^3. + t^3.56 + t^3.75 + 3*t^4.12 + 2*t^4.31 + 2*t^4.5 + 2*t^4.69 + 4*t^4.88 + 2*t^5.06 + 4*t^5.25 + t^5.44 + 3*t^5.62 + 2*t^5.81 - t^6. - t^4.31/y - t^4.31*y | detail | {a: 91557/131072, c: 114597/131072, M1: 15/16, M2: 1, M3: 9/8, M4: 11/16, M5: 7/8, M6: 3/4, q1: 19/32, q2: 15/32, qb1: 13/32, qb2: 25/32, phi1: 7/16} |
| 56491 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_3M_5$ + $ M_2^2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7\tilde{q}_1\tilde{q}_2$ | 0.7184 | 0.9121 | 0.7876 | [X:[], M:[0.9933, 1.0, 1.1126, 0.6689, 0.8874, 0.6756, 0.7815], q:[0.5597, 0.4471], qb:[0.4403, 0.7782], phi:[0.4437]] | t^2.01 + t^2.03 + t^2.34 + 2*t^2.66 + t^2.98 + t^3. + t^3.68 + 3*t^4.01 + t^4.03 + t^4.05 + t^4.33 + 2*t^4.35 + t^4.37 + 2*t^4.67 + 4*t^4.69 + t^4.99 + 4*t^5.01 + t^5.03 + 4*t^5.32 + t^5.34 + t^5.64 + t^5.66 + t^5.68 + t^5.7 + t^5.96 - 2*t^6. - t^4.33/y - t^4.33*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47068 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_3M_5$ + $ M_2^2$ | 0.6805 | 0.8404 | 0.8097 | [X:[], M:[0.9715, 1.0, 1.1174, 0.6762, 0.8826], q:[0.573, 0.4555], qb:[0.427, 0.7794], phi:[0.4413]] | t^2.03 + 2*t^2.65 + t^2.91 + t^3. + t^3.62 + t^3.7 + t^3.89 + 3*t^4.06 + t^4.32 + t^4.41 + 2*t^4.68 + t^4.76 + t^4.94 + t^5.03 + 3*t^5.3 + t^5.56 + 2*t^5.65 + t^5.73 + t^5.83 + t^5.91 - 2*t^6. - t^4.32/y - t^4.32*y | detail |