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 |
|---|---|---|---|---|---|---|---|---|---|
| 1278 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_3^2$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_4M_6$ | 0.7033 | 0.8629 | 0.815 | [X:[], M:[0.964, 0.9281, 1.0, 1.0719, 0.964, 0.9281], q:[0.5899, 0.446], qb:[0.482, 0.554], phi:[0.482]] | [X:[], M:[[-2], [-4], [0], [4], [-2], [-4]], q:[[5], [-3]], qb:[[-1], [3]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_6$, $ M_1$, $ M_5$, $ \phi_1^2$, $ M_3$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ M_2^2$, $ M_2M_6$, $ M_6^2$, $ M_1M_2$, $ M_2M_5$, $ M_1M_6$, $ M_5M_6$, $ M_2\phi_1^2$, $ M_6\phi_1^2$, $ M_1^2$, $ M_2M_3$, $ M_1M_5$, $ M_5^2$, $ M_3M_6$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_1M_3$, $ M_3M_5$, $ M_3\phi_1^2$ | . | -3 | 2*t^2.78 + 3*t^2.89 + t^3. + t^3.43 + t^4.12 + t^4.23 + t^4.34 + t^4.45 + 2*t^4.55 + t^4.66 + t^4.77 + t^4.88 + t^4.99 + 2*t^5.57 + 4*t^5.68 + 7*t^5.78 + t^5.89 - 3*t^6. - 2*t^6.11 + t^6.32 + t^6.86 + 2*t^6.91 + 4*t^7.01 + 4*t^7.12 + 3*t^7.23 + 3*t^7.34 + 4*t^7.45 + 3*t^7.55 + t^7.66 + 2*t^7.77 + 2*t^7.88 - t^8.09 + t^8.2 + t^8.24 + t^8.31 + 3*t^8.35 + t^8.42 + 4*t^8.46 + 9*t^8.57 + 12*t^8.68 - 3*t^8.78 - 9*t^8.89 - t^4.45/y - t^7.23/y - (3*t^7.34)/y + (3*t^7.55)/y + t^7.66/y + t^8.57/y + (6*t^8.68)/y + (5*t^8.78)/y + (3*t^8.89)/y - t^4.45*y - t^7.23*y - 3*t^7.34*y + 3*t^7.55*y + t^7.66*y + t^8.57*y + 6*t^8.68*y + 5*t^8.78*y + 3*t^8.89*y | (2*t^2.78)/g1^4 + (3*t^2.89)/g1^2 + t^3. + g1^8*t^3.43 + t^4.12/g1^7 + t^4.23/g1^5 + t^4.34/g1^3 + t^4.45/g1 + 2*g1*t^4.55 + g1^3*t^4.66 + g1^5*t^4.77 + g1^7*t^4.88 + g1^9*t^4.99 + (2*t^5.57)/g1^8 + (4*t^5.68)/g1^6 + (7*t^5.78)/g1^4 + t^5.89/g1^2 - 3*t^6. - 2*g1^2*t^6.11 + g1^6*t^6.32 + g1^16*t^6.86 + (2*t^6.91)/g1^11 + (4*t^7.01)/g1^9 + (4*t^7.12)/g1^7 + (3*t^7.23)/g1^5 + (3*t^7.34)/g1^3 + (4*t^7.45)/g1 + 3*g1*t^7.55 + g1^3*t^7.66 + 2*g1^5*t^7.77 + 2*g1^7*t^7.88 - g1^11*t^8.09 + g1^13*t^8.2 + t^8.24/g1^14 + g1^15*t^8.31 + (3*t^8.35)/g1^12 + g1^17*t^8.42 + (4*t^8.46)/g1^10 + (9*t^8.57)/g1^8 + (12*t^8.68)/g1^6 - (3*t^8.78)/g1^4 - (9*t^8.89)/g1^2 - t^4.45/(g1*y) - t^7.23/(g1^5*y) - (3*t^7.34)/(g1^3*y) + (3*g1*t^7.55)/y + (g1^3*t^7.66)/y + t^8.57/(g1^8*y) + (6*t^8.68)/(g1^6*y) + (5*t^8.78)/(g1^4*y) + (3*t^8.89)/(g1^2*y) - (t^4.45*y)/g1 - (t^7.23*y)/g1^5 - (3*t^7.34*y)/g1^3 + 3*g1*t^7.55*y + g1^3*t^7.66*y + (t^8.57*y)/g1^8 + (6*t^8.68*y)/g1^6 + (5*t^8.78*y)/g1^4 + (3*t^8.89*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2326 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_3^2$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_4M_6$ + $ \phi_1q_1\tilde{q}_2$ | 0.6079 | 0.7775 | 0.7818 | [X:[], M:[0.8571, 0.7143, 1.0, 1.2857, 0.8571, 0.7143], q:[0.8571, 0.2857], qb:[0.4286, 0.7143], phi:[0.4286]] | 2*t^2.14 + 3*t^2.57 + 2*t^3. + t^3.43 + t^3.86 + 3*t^4.29 + 7*t^4.71 + 10*t^5.14 + 6*t^5.57 + 3*t^6. - t^4.29/y - t^4.29*y | detail | {a: 417/686, c: 4267/5488, M1: 6/7, M2: 5/7, M3: 1, M4: 9/7, M5: 6/7, M6: 5/7, q1: 6/7, q2: 2/7, qb1: 3/7, qb2: 5/7, phi1: 3/7} |
| 2327 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_3^2$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_4M_6$ + $ \phi_1q_1^2$ | 0.6551 | 0.8218 | 0.7972 | [X:[], M:[0.8889, 0.7778, 1.0, 1.2222, 0.8889, 0.7778], q:[0.7778, 0.3333], qb:[0.4444, 0.6667], phi:[0.4444]] | 2*t^2.33 + 3*t^2.67 + t^3. + t^3.33 + t^3.67 + t^4. + 2*t^4.33 + 4*t^4.67 + 5*t^5. + 8*t^5.33 + 4*t^5.67 + 2*t^6. - t^4.33/y - t^4.33*y | detail | {a: 283/432, c: 355/432, M1: 8/9, M2: 7/9, M3: 1, M4: 11/9, M5: 8/9, M6: 7/9, q1: 7/9, q2: 1/3, qb1: 4/9, qb2: 2/3, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 799 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_4q_2\tilde{q}_1$ + $ M_2M_4$ + $ M_3^2$ + $ M_5\tilde{q}_1\tilde{q}_2$ | 0.6976 | 0.853 | 0.8178 | [X:[], M:[0.9741, 0.9483, 1.0, 1.0517, 0.9741], q:[0.5647, 0.4612], qb:[0.4871, 0.5388], phi:[0.4871]] | t^2.84 + 3*t^2.92 + t^3. + t^3.16 + t^3.31 + t^4.23 + t^4.31 + t^4.38 + t^4.46 + 2*t^4.54 + t^4.62 + t^4.69 + t^4.77 + t^4.85 + t^5.77 + 6*t^5.84 + t^5.92 - 2*t^6. - t^4.46/y - t^4.46*y | detail |