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 |
|---|---|---|---|---|---|---|---|---|---|
| 4012 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_1M_8$ | 0.6908 | 0.8692 | 0.7947 | [X:[], M:[1.1711, 1.1052, 0.9606, 1.0, 0.8289, 0.7237, 0.7631, 0.8289], q:[0.7763, 0.4342], qb:[0.3948, 0.6052], phi:[0.4474]] | [X:[], M:[[-3], [4], [-11], [0], [3], [-1], [10], [3]], q:[[1], [7]], qb:[[-4], [4]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_7$, $ M_5$, $ M_8$, $ M_3$, $ M_4$, $ M_2$, $ q_1q_2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ M_6^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_6M_7$, $ \phi_1q_2\tilde{q}_2$, $ M_7^2$, $ M_5M_6$, $ M_6M_8$, $ M_5M_7$, $ M_7M_8$, $ M_5^2$, $ M_5M_8$, $ M_8^2$, $ \phi_1\tilde{q}_2^2$, $ M_3M_6$, $ M_4M_6$, $ M_3M_7$, $ M_4M_7$, $ M_3M_5$, $ M_3M_8$, $ M_4M_5$, $ M_2M_6$, $ M_4M_8$, $ M_2M_7$, $ M_3^2$, $ M_2M_5$, $ M_2M_8$, $ M_6q_1q_2$, $ M_7q_1q_2$ | . | -2 | t^2.17 + t^2.29 + 2*t^2.49 + t^2.88 + t^3. + t^3.32 + t^3.63 + t^3.95 + t^4.14 + 2*t^4.34 + 2*t^4.46 + t^4.58 + 2*t^4.66 + 2*t^4.78 + 4*t^4.97 + t^5.05 + 2*t^5.17 + t^5.29 + t^5.37 + 2*t^5.49 + t^5.6 + t^5.76 + 3*t^5.8 + t^5.92 - 2*t^6. + 2*t^6.12 + t^6.24 + t^6.32 + 3*t^6.43 + t^6.51 + 5*t^6.63 - t^6.71 + 2*t^6.75 + 2*t^6.83 + t^6.87 + 5*t^6.95 - t^7.03 + 2*t^7.07 + 3*t^7.14 + t^7.22 + 5*t^7.26 + t^7.34 + 7*t^7.46 + t^7.54 + 2*t^7.58 + 2*t^7.66 + 3*t^7.78 + 2*t^7.89 + t^7.93 + 3*t^7.97 + t^8.05 + 4*t^8.09 - 4*t^8.17 + t^8.21 + t^8.25 + 3*t^8.29 - t^8.37 + 3*t^8.41 - 4*t^8.49 + t^8.53 + 5*t^8.6 + t^8.65 + 3*t^8.72 + 2*t^8.8 - 3*t^8.88 + 9*t^8.92 - t^4.34/y - t^6.51/y - t^6.63/y - t^6.83/y - t^7.22/y + (2*t^7.46)/y + (2*t^7.66)/y + (2*t^7.78)/y + t^7.86/y + t^7.97/y + (2*t^8.05)/y + (3*t^8.17)/y + t^8.29/y + (2*t^8.37)/y + (3*t^8.49)/y + t^8.6/y - t^8.68/y + (2*t^8.8)/y + t^8.88/y - t^4.34*y - t^6.51*y - t^6.63*y - t^6.83*y - t^7.22*y + 2*t^7.46*y + 2*t^7.66*y + 2*t^7.78*y + t^7.86*y + t^7.97*y + 2*t^8.05*y + 3*t^8.17*y + t^8.29*y + 2*t^8.37*y + 3*t^8.49*y + t^8.6*y - t^8.68*y + 2*t^8.8*y + t^8.88*y | t^2.17/g1 + g1^10*t^2.29 + 2*g1^3*t^2.49 + t^2.88/g1^11 + t^3. + g1^4*t^3.32 + g1^8*t^3.63 + g1^12*t^3.95 + g1^5*t^4.14 + (2*t^4.34)/g1^2 + 2*g1^9*t^4.46 + g1^20*t^4.58 + 2*g1^2*t^4.66 + 2*g1^13*t^4.78 + 4*g1^6*t^4.97 + t^5.05/g1^12 + (2*t^5.17)/g1 + g1^10*t^5.29 + t^5.37/g1^8 + 2*g1^3*t^5.49 + g1^14*t^5.6 + t^5.76/g1^22 + 3*g1^7*t^5.8 + g1^18*t^5.92 - 2*t^6. + 2*g1^11*t^6.12 + g1^22*t^6.24 + g1^4*t^6.32 + 3*g1^15*t^6.43 + t^6.51/g1^3 + 5*g1^8*t^6.63 - t^6.71/g1^10 + 2*g1^19*t^6.75 + 2*g1*t^6.83 + g1^30*t^6.87 + 5*g1^12*t^6.95 - t^7.03/g1^6 + 2*g1^23*t^7.07 + 3*g1^5*t^7.14 + t^7.22/g1^13 + 5*g1^16*t^7.26 + t^7.34/g1^2 + 7*g1^9*t^7.46 + t^7.54/g1^9 + 2*g1^20*t^7.58 + 2*g1^2*t^7.66 + 3*g1^13*t^7.78 + 2*g1^24*t^7.89 + t^7.93/g1^23 + 3*g1^6*t^7.97 + t^8.05/g1^12 + 4*g1^17*t^8.09 - (4*t^8.17)/g1 + g1^28*t^8.21 + t^8.25/g1^19 + 3*g1^10*t^8.29 - t^8.37/g1^8 + 3*g1^21*t^8.41 - 4*g1^3*t^8.49 + g1^32*t^8.53 + 5*g1^14*t^8.6 + t^8.65/g1^33 + 3*g1^25*t^8.72 + 2*g1^7*t^8.8 - (3*t^8.88)/g1^11 + 9*g1^18*t^8.92 - t^4.34/(g1^2*y) - t^6.51/(g1^3*y) - (g1^8*t^6.63)/y - (g1*t^6.83)/y - t^7.22/(g1^13*y) + (2*g1^9*t^7.46)/y + (2*g1^2*t^7.66)/y + (2*g1^13*t^7.78)/y + t^7.86/(g1^5*y) + (g1^6*t^7.97)/y + (2*t^8.05)/(g1^12*y) + (3*t^8.17)/(g1*y) + (g1^10*t^8.29)/y + (2*t^8.37)/(g1^8*y) + (3*g1^3*t^8.49)/y + (g1^14*t^8.6)/y - t^8.68/(g1^4*y) + (2*g1^7*t^8.8)/y + t^8.88/(g1^11*y) - (t^4.34*y)/g1^2 - (t^6.51*y)/g1^3 - g1^8*t^6.63*y - g1*t^6.83*y - (t^7.22*y)/g1^13 + 2*g1^9*t^7.46*y + 2*g1^2*t^7.66*y + 2*g1^13*t^7.78*y + (t^7.86*y)/g1^5 + g1^6*t^7.97*y + (2*t^8.05*y)/g1^12 + (3*t^8.17*y)/g1 + g1^10*t^8.29*y + (2*t^8.37*y)/g1^8 + 3*g1^3*t^8.49*y + g1^14*t^8.6*y - (t^8.68*y)/g1^4 + 2*g1^7*t^8.8*y + (t^8.88*y)/g1^11 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5583 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_1M_8$ + $ M_5M_7$ + $ M_3X_1$ | 0.5721 | 0.6971 | 0.8207 | [X:[1.3846], M:[1.0769, 1.2308, 0.6154, 1.0, 0.9231, 0.6923, 1.0769, 0.9231], q:[0.8077, 0.6538], qb:[0.2692, 0.7308], phi:[0.3846]] | t^2.08 + 2*t^2.77 + t^3. + t^3.23 + t^3.69 + 3*t^4.15 + t^4.38 + t^4.85 + 2*t^5.08 + 2*t^5.31 + 3*t^5.54 + t^5.77 - t^6. - t^4.15/y - t^4.15*y | detail | {a: 20109/35152, c: 24503/35152, X1: 18/13, M1: 14/13, M2: 16/13, M3: 8/13, M4: 1, M5: 12/13, M6: 9/13, M7: 14/13, M8: 12/13, q1: 21/26, q2: 17/26, qb1: 7/26, qb2: 19/26, phi1: 5/13} |
| 5557 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_1M_8$ + $ M_9\phi_1q_2^2$ | 0.7115 | 0.9096 | 0.7822 | [X:[], M:[1.1699, 1.1069, 0.9561, 1.0, 0.8301, 0.7233, 0.7671, 0.8301, 0.6794], q:[0.7767, 0.437], qb:[0.3931, 0.6069], phi:[0.4466]] | t^2.04 + t^2.17 + t^2.3 + 2*t^2.49 + t^2.87 + t^3. + t^3.32 + t^3.64 + t^4.08 + t^4.15 + t^4.21 + 3*t^4.34 + 2*t^4.47 + 2*t^4.53 + t^4.6 + 2*t^4.66 + 2*t^4.79 + t^4.91 + 4*t^4.98 + 2*t^5.04 + 2*t^5.17 + t^5.3 + 2*t^5.36 + 2*t^5.49 + t^5.62 + t^5.68 + t^5.74 + 3*t^5.81 + t^5.94 - 2*t^6. - t^4.34/y - t^4.34*y | detail | |
| 5556 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_1M_8$ + $ M_9q_1q_2$ | 0.7083 | 0.8991 | 0.7878 | [X:[], M:[1.1652, 1.1131, 0.9391, 1.0, 0.8348, 0.7217, 0.7826, 0.8348, 0.7739], q:[0.7783, 0.4478], qb:[0.3869, 0.6131], phi:[0.4435]] | t^2.17 + t^2.32 + t^2.35 + 2*t^2.5 + t^2.82 + t^3. + t^3.34 + t^4.02 + t^4.17 + 2*t^4.33 + t^4.49 + 2*t^4.51 + t^4.64 + 3*t^4.67 + t^4.7 + 2*t^4.83 + 2*t^4.85 + t^4.98 + 4*t^5.01 + t^5.14 + 2*t^5.17 + 2*t^5.32 + t^5.35 + 2*t^5.5 + t^5.63 + t^5.66 + t^5.69 + 2*t^5.84 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 1619 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_4^2$ + $ M_5q_1\tilde{q}_1$ + $ M_1M_5$ + $ M_6\phi_1q_2\tilde{q}_1$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.6762 | 0.8432 | 0.8019 | [X:[], M:[1.168, 1.1093, 0.9495, 1.0, 0.832, 0.7227, 0.7732], q:[0.7773, 0.4412], qb:[0.3907, 0.6093], phi:[0.4454]] | t^2.17 + t^2.32 + t^2.5 + t^2.85 + t^3. + t^3.33 + t^3.5 + t^3.66 + t^3.98 + t^4.16 + 2*t^4.34 + 2*t^4.49 + t^4.64 + t^4.66 + t^4.82 + 2*t^4.99 + t^5.02 + 2*t^5.17 + t^5.32 + t^5.5 + t^5.65 + t^5.67 + t^5.7 + 3*t^5.82 + t^5.98 - t^6. - t^4.34/y - t^4.34*y | detail |