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 |
|---|---|---|---|---|---|---|---|---|---|
| 1622 | 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_1M_6$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.6708 | 0.8321 | 0.8061 | [X:[], M:[1.1715, 1.1047, 0.9622, 1.0, 0.8285, 0.8285, 0.7617], q:[0.7762, 0.4332], qb:[0.3953, 0.6047], phi:[0.4477]] | [X:[], M:[[-3], [4], [-11], [0], [3], [3], [10]], q:[[1], [7]], qb:[[-4], [4]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_5$, $ M_6$, $ M_3$, $ M_4$, $ M_2$, $ q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_7^2$, $ M_5M_7$, $ M_6M_7$, $ M_5^2$, $ M_5M_6$, $ M_6^2$, $ \phi_1\tilde{q}_2^2$, $ M_3M_7$, $ M_4M_7$, $ M_3M_5$, $ M_3M_6$, $ M_4M_5$, $ M_4M_6$, $ M_2M_7$, $ M_3^2$, $ M_2M_5$, $ M_2M_6$, $ M_7q_1q_2$ | . | -2 | t^2.28 + 2*t^2.49 + t^2.89 + t^3. + t^3.31 + t^3.63 + t^3.83 + t^3.94 + t^4.14 + t^4.34 + t^4.46 + t^4.57 + 2*t^4.77 + 4*t^4.97 + t^5.17 + t^5.28 + t^5.37 + t^5.49 + t^5.6 + t^5.77 + 2*t^5.8 + t^5.91 - 2*t^6. + 2*t^6.11 + t^6.23 + 2*t^6.31 + 3*t^6.43 - t^6.51 + 3*t^6.63 + t^6.74 + t^6.83 + t^6.85 + 3*t^6.94 - t^7.03 + 2*t^7.06 + 5*t^7.26 - t^7.34 + 7*t^7.46 + 2*t^7.57 + t^7.66 + 3*t^7.77 + 2*t^7.88 + t^7.97 + t^8.06 + 3*t^8.08 - t^8.17 + t^8.2 + t^8.26 + 2*t^8.28 - t^8.37 + 3*t^8.4 - 5*t^8.49 + t^8.51 + 4*t^8.6 + t^8.66 - t^8.69 + 3*t^8.71 + t^8.8 - 2*t^8.89 + 7*t^8.91 - t^4.34/y - t^6.63/y - t^6.83/y - t^7.23/y + t^7.46/y + (2*t^7.77)/y + t^7.86/y + t^7.97/y + t^8.06/y + t^8.17/y + t^8.28/y + (2*t^8.37)/y + (2*t^8.49)/y + t^8.6/y + (2*t^8.8)/y + t^8.89/y - t^4.34*y - t^6.63*y - t^6.83*y - t^7.23*y + t^7.46*y + 2*t^7.77*y + t^7.86*y + t^7.97*y + t^8.06*y + t^8.17*y + t^8.28*y + 2*t^8.37*y + 2*t^8.49*y + t^8.6*y + 2*t^8.8*y + t^8.89*y | g1^10*t^2.28 + 2*g1^3*t^2.49 + t^2.89/g1^11 + t^3. + g1^4*t^3.31 + g1^8*t^3.63 + g1*t^3.83 + g1^12*t^3.94 + g1^5*t^4.14 + t^4.34/g1^2 + g1^9*t^4.46 + g1^20*t^4.57 + 2*g1^13*t^4.77 + 4*g1^6*t^4.97 + t^5.17/g1 + g1^10*t^5.28 + t^5.37/g1^8 + g1^3*t^5.49 + g1^14*t^5.6 + t^5.77/g1^22 + 2*g1^7*t^5.8 + g1^18*t^5.91 - 2*t^6. + 2*g1^11*t^6.11 + g1^22*t^6.23 + 2*g1^4*t^6.31 + 3*g1^15*t^6.43 - t^6.51/g1^3 + 3*g1^8*t^6.63 + g1^19*t^6.74 + g1*t^6.83 + g1^30*t^6.85 + 3*g1^12*t^6.94 - t^7.03/g1^6 + 2*g1^23*t^7.06 + 5*g1^16*t^7.26 - t^7.34/g1^2 + 7*g1^9*t^7.46 + 2*g1^20*t^7.57 + g1^2*t^7.66 + 3*g1^13*t^7.77 + 2*g1^24*t^7.88 + g1^6*t^7.97 + t^8.06/g1^12 + 3*g1^17*t^8.08 - t^8.17/g1 + g1^28*t^8.2 + t^8.26/g1^19 + 2*g1^10*t^8.28 - t^8.37/g1^8 + 3*g1^21*t^8.4 - 5*g1^3*t^8.49 + g1^32*t^8.51 + 4*g1^14*t^8.6 + t^8.66/g1^33 - t^8.69/g1^4 + 3*g1^25*t^8.71 + g1^7*t^8.8 - (2*t^8.89)/g1^11 + 7*g1^18*t^8.91 - t^4.34/(g1^2*y) - (g1^8*t^6.63)/y - (g1*t^6.83)/y - t^7.23/(g1^13*y) + (g1^9*t^7.46)/y + (2*g1^13*t^7.77)/y + t^7.86/(g1^5*y) + (g1^6*t^7.97)/y + t^8.06/(g1^12*y) + t^8.17/(g1*y) + (g1^10*t^8.28)/y + (2*t^8.37)/(g1^8*y) + (2*g1^3*t^8.49)/y + (g1^14*t^8.6)/y + (2*g1^7*t^8.8)/y + t^8.89/(g1^11*y) - (t^4.34*y)/g1^2 - g1^8*t^6.63*y - g1*t^6.83*y - (t^7.23*y)/g1^13 + g1^9*t^7.46*y + 2*g1^13*t^7.77*y + (t^7.86*y)/g1^5 + g1^6*t^7.97*y + (t^8.06*y)/g1^12 + (t^8.17*y)/g1 + g1^10*t^8.28*y + (2*t^8.37*y)/g1^8 + 2*g1^3*t^8.49*y + g1^14*t^8.6*y + 2*g1^7*t^8.8*y + (t^8.89*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 |
|---|---|---|---|---|---|---|---|---|
| 4014 | $\phi_1q_1^2$ + $ 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_1M_6$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_4M_7$ | 0.6135 | 0.751 | 0.8169 | [X:[], M:[1.1, 1.2, 0.7, 1.0, 0.9, 0.9, 1.0], q:[0.8, 0.6], qb:[0.3, 0.7], phi:[0.4]] | t^2.1 + 2*t^2.7 + 2*t^3. + t^3.6 + t^3.9 + 3*t^4.2 + t^4.5 + 2*t^4.8 + 2*t^5.1 + 4*t^5.4 + 3*t^5.7 - t^4.2/y - t^4.2*y | detail | {a: 1227/2000, c: 751/1000, M1: 11/10, M2: 6/5, M3: 7/10, M4: 1, M5: 9/10, M6: 9/10, M7: 1, q1: 4/5, q2: 3/5, qb1: 3/10, qb2: 7/10, phi1: 2/5} |
| 4015 | $\phi_1q_1^2$ + $ 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_1M_6$ + $ M_7\phi_1\tilde{q}_1^2$ + $ M_8\phi_1q_2^2$ | 0.6916 | 0.8724 | 0.7927 | [X:[], M:[1.1702, 1.1064, 0.9573, 1.0, 0.8298, 0.8298, 0.7661, 0.6807], q:[0.7766, 0.4363], qb:[0.3936, 0.6064], phi:[0.4468]] | t^2.04 + t^2.3 + 2*t^2.49 + t^2.87 + t^3. + t^3.32 + t^3.64 + t^3.83 + t^4.08 + t^4.15 + 2*t^4.34 + t^4.47 + 2*t^4.53 + t^4.6 + 2*t^4.79 + t^4.91 + 4*t^4.98 + t^5.04 + t^5.17 + t^5.3 + 2*t^5.36 + t^5.49 + t^5.62 + t^5.68 + t^5.74 + 2*t^5.81 + t^5.87 + t^5.94 - 2*t^6. - t^4.34/y - t^4.34*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1039 | 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_1M_6$ | 0.6529 | 0.7983 | 0.8178 | [X:[], M:[1.1633, 1.1155, 0.9323, 1.0, 0.8367, 0.8367], q:[0.7789, 0.4522], qb:[0.3845, 0.6155], phi:[0.4422]] | 2*t^2.51 + t^2.8 + t^3. + t^3.35 + t^3.63 + t^3.69 + t^3.84 + t^4.04 + t^4.18 + t^4.33 + t^4.53 + 4*t^5.02 + t^5.31 + t^5.51 + t^5.59 + 2*t^5.86 - 2*t^6. - t^4.33/y - t^4.33*y | detail |