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 |
|---|---|---|---|---|---|---|---|---|---|
| 1632 | 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_6\phi_1q_2^2$ + $ M_7q_1q_2$ | 0.7184 | 0.9121 | 0.7876 | [X:[], M:[1.0, 1.1126, 0.9933, 0.6689, 0.8874, 0.6756, 0.7815], q:[0.7782, 0.4403], qb:[0.5597, 0.4471], phi:[0.4437]] | [X:[], M:[[0], [4], [-18], [6], [-4], [24], [10]], q:[[1], [-11]], qb:[[11], [7]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_6$, $ M_7$, $ M_5$, $ \phi_1^2$, $ M_3$, $ M_1$, $ q_1\tilde{q}_2$, $ M_4^2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_4M_6$, $ M_6^2$, $ \phi_1q_2\tilde{q}_1$, $ M_4M_7$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_6M_7$, $ M_4M_5$, $ M_4\phi_1^2$, $ M_5M_6$, $ M_7^2$, $ M_6\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_3M_4$, $ M_1M_4$, $ M_3M_6$, $ M_5M_7$, $ M_7\phi_1^2$, $ M_1M_6$, $ M_5^2$, $ M_3M_7$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_1M_7$, $ M_3M_5$, $ M_3\phi_1^2$, $ M_1M_5$, $ M_1\phi_1^2$, $ M_4q_1\tilde{q}_2$, $ M_6q_1\tilde{q}_2$, $ M_3^2$ | . | -2 | 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. + 3*t^6.02 + 3*t^6.04 + t^6.06 + t^6.08 - t^6.32 + t^6.34 + 4*t^6.36 + 2*t^6.38 + t^6.4 + 6*t^6.68 + 5*t^6.7 + 4*t^6.72 - t^6.97 + 2*t^6.99 + 6*t^7.01 + 6*t^7.03 + t^7.05 - t^7.31 + 3*t^7.33 + 8*t^7.35 + t^7.37 + 4*t^7.67 + 4*t^7.69 + t^7.71 + t^7.73 + t^7.97 + 4*t^7.99 - 2*t^8.01 + 3*t^8.03 + 3*t^8.05 + 3*t^8.07 + t^8.09 + t^8.11 + 2*t^8.3 - 2*t^8.32 - 3*t^8.34 + 6*t^8.36 + 4*t^8.38 + 2*t^8.41 + t^8.43 + t^8.62 - t^8.64 - 6*t^8.66 + 3*t^8.68 + 12*t^8.7 + 5*t^8.72 + 4*t^8.74 + t^8.94 - 5*t^8.98 - t^4.33/y - t^6.34/y - t^6.36/y - t^6.68/y - t^6.99/y + t^7.03/y - t^7.31/y + (2*t^7.35)/y + t^7.37/y + (3*t^7.67)/y + (2*t^7.69)/y + (2*t^7.99)/y + (4*t^8.01)/y + t^8.03/y + t^8.3/y + (3*t^8.32)/y - t^8.36/y - t^8.38/y + (2*t^8.64)/y + (2*t^8.66)/y + t^8.98/y - t^4.33*y - t^6.34*y - t^6.36*y - t^6.68*y - t^6.99*y + t^7.03*y - t^7.31*y + 2*t^7.35*y + t^7.37*y + 3*t^7.67*y + 2*t^7.69*y + 2*t^7.99*y + 4*t^8.01*y + t^8.03*y + t^8.3*y + 3*t^8.32*y - t^8.36*y - t^8.38*y + 2*t^8.64*y + 2*t^8.66*y + t^8.98*y | g1^6*t^2.01 + g1^24*t^2.03 + g1^10*t^2.34 + (2*t^2.66)/g1^4 + t^2.98/g1^18 + t^3. + g1^8*t^3.68 + 3*g1^12*t^4.01 + g1^30*t^4.03 + g1^48*t^4.05 + t^4.33/g1^2 + 2*g1^16*t^4.35 + g1^34*t^4.37 + 2*g1^2*t^4.67 + 4*g1^20*t^4.69 + t^4.99/g1^12 + 4*g1^6*t^5.01 + g1^24*t^5.03 + (4*t^5.32)/g1^8 + g1^10*t^5.34 + t^5.64/g1^22 + t^5.66/g1^4 + g1^14*t^5.68 + g1^32*t^5.7 + t^5.96/g1^36 - 2*t^6. + 3*g1^18*t^6.02 + 3*g1^36*t^6.04 + g1^54*t^6.06 + g1^72*t^6.08 - t^6.32/g1^14 + g1^4*t^6.34 + 4*g1^22*t^6.36 + 2*g1^40*t^6.38 + g1^58*t^6.4 + 6*g1^8*t^6.68 + 5*g1^26*t^6.7 + 4*g1^44*t^6.72 - t^6.97/g1^24 + (2*t^6.99)/g1^6 + 6*g1^12*t^7.01 + 6*g1^30*t^7.03 + g1^48*t^7.05 - t^7.31/g1^20 + (3*t^7.33)/g1^2 + 8*g1^16*t^7.35 + g1^34*t^7.37 + 4*g1^2*t^7.67 + 4*g1^20*t^7.69 + g1^38*t^7.71 + g1^56*t^7.73 + t^7.97/g1^30 + (4*t^7.99)/g1^12 - 2*g1^6*t^8.01 + 3*g1^24*t^8.03 + 3*g1^42*t^8.05 + 3*g1^60*t^8.07 + g1^78*t^8.09 + g1^96*t^8.11 + (2*t^8.3)/g1^26 - (2*t^8.32)/g1^8 - 3*g1^10*t^8.34 + 6*g1^28*t^8.36 + 4*g1^46*t^8.38 + 2*g1^64*t^8.41 + g1^82*t^8.43 + t^8.62/g1^40 - t^8.64/g1^22 - (6*t^8.66)/g1^4 + 3*g1^14*t^8.68 + 12*g1^32*t^8.7 + 5*g1^50*t^8.72 + 4*g1^68*t^8.74 + t^8.94/g1^54 - (5*t^8.98)/g1^18 - t^4.33/(g1^2*y) - (g1^4*t^6.34)/y - (g1^22*t^6.36)/y - (g1^8*t^6.68)/y - t^6.99/(g1^6*y) + (g1^30*t^7.03)/y - t^7.31/(g1^20*y) + (2*g1^16*t^7.35)/y + (g1^34*t^7.37)/y + (3*g1^2*t^7.67)/y + (2*g1^20*t^7.69)/y + (2*t^7.99)/(g1^12*y) + (4*g1^6*t^8.01)/y + (g1^24*t^8.03)/y + t^8.3/(g1^26*y) + (3*t^8.32)/(g1^8*y) - (g1^28*t^8.36)/y - (g1^46*t^8.38)/y + (2*t^8.64)/(g1^22*y) + (2*t^8.66)/(g1^4*y) + t^8.98/(g1^18*y) - (t^4.33*y)/g1^2 - g1^4*t^6.34*y - g1^22*t^6.36*y - g1^8*t^6.68*y - (t^6.99*y)/g1^6 + g1^30*t^7.03*y - (t^7.31*y)/g1^20 + 2*g1^16*t^7.35*y + g1^34*t^7.37*y + 3*g1^2*t^7.67*y + 2*g1^20*t^7.69*y + (2*t^7.99*y)/g1^12 + 4*g1^6*t^8.01*y + g1^24*t^8.03*y + (t^8.3*y)/g1^26 + (3*t^8.32*y)/g1^8 - g1^28*t^8.36*y - g1^46*t^8.38*y + (2*t^8.64*y)/g1^22 + (2*t^8.66*y)/g1^4 + (t^8.98*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 |
|---|---|---|---|---|---|---|---|---|
| 4025 | $\phi_1q_1^2$ + $ 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_6\phi_1q_2^2$ + $ M_7q_1q_2$ + $ M_6M_7$ | 0.6166 | 0.7783 | 0.7922 | [X:[], M:[1.0, 1.1765, 0.7059, 0.7647, 0.8235, 1.0588, 0.9412], q:[0.7941, 0.2647], qb:[0.7353, 0.5588], phi:[0.4118]] | t^2.12 + t^2.29 + 2*t^2.47 + t^2.82 + t^3. + t^3.18 + t^4.06 + 2*t^4.24 + t^4.41 + 4*t^4.59 + 2*t^4.76 + 4*t^4.94 + 2*t^5.12 + 4*t^5.29 + 2*t^5.47 + 3*t^5.65 - t^6. - t^4.24/y - t^4.24*y | detail | {a: 12117/19652, c: 3824/4913, M1: 1, M2: 20/17, M3: 12/17, M4: 13/17, M5: 14/17, M6: 18/17, M7: 16/17, q1: 27/34, q2: 9/34, qb1: 25/34, qb2: 19/34, phi1: 7/17} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1047 | 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_6\phi_1q_2^2$ | 0.701 | 0.8802 | 0.7964 | [X:[], M:[1.0, 1.1151, 0.9819, 0.6727, 0.8849, 0.6908], q:[0.7788, 0.4334], qb:[0.5666, 0.4515], phi:[0.4424]] | 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. - t^4.33/y - t^4.33*y | detail |