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 |
|---|---|---|---|---|---|---|---|---|---|
| 55380 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5^2$ + $ M_4^2$ + $ M_3\phi_1^2$ + $ M_6\phi_1\tilde{q}_2^2$ | 0.7291 | 0.9105 | 0.8008 | [X:[], M:[0.8539, 0.9026, 1.0487, 1.0, 1.0, 0.6704], q:[0.573, 0.573], qb:[0.5243, 0.427], phi:[0.4757]] | [X:[], M:[[6], [4], [-2], [0], [0], [-7]], q:[[-3], [-3]], qb:[[-1], [3]], phi:[[1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_1$, $ M_2$, $ \phi_1^2$, $ M_4$, $ M_5$, $ M_3$, $ q_2\tilde{q}_1$, $ M_6^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_6$, $ \phi_1\tilde{q}_1^2$, $ M_2M_6$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ M_6\phi_1^2$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ M_4M_6$, $ M_5M_6$, $ M_1^2$, $ M_3M_6$, $ M_1M_2$, $ M_6q_2\tilde{q}_1$, $ M_2^2$, $ M_1\phi_1^2$, $ M_1M_4$, $ M_1M_5$, $ M_2\phi_1^2$, $ M_1M_3$, $ M_2M_4$, $ M_2M_5$, $ \phi_1^4$, $ M_2M_3$, $ M_4\phi_1^2$, $ M_5\phi_1^2$ | $M_4M_5$, $ M_2q_2\tilde{q}_1$ | -1 | t^2.01 + t^2.56 + t^2.71 + t^2.85 + 2*t^3. + t^3.15 + t^3.29 + t^4.02 + t^4.28 + 2*t^4.43 + 2*t^4.57 + 3*t^4.72 + 4*t^4.87 + 2*t^5.01 + t^5.12 + t^5.16 + t^5.27 + t^5.3 + 2*t^5.42 + t^5.56 + 3*t^5.71 + 2*t^5.85 - t^6. + t^6.03 + t^6.15 + 2*t^6.29 + t^6.44 + 3*t^6.58 + 3*t^6.73 + t^6.84 + 4*t^6.88 + t^6.99 + 2*t^7.02 + 3*t^7.13 + t^7.17 + 4*t^7.28 + t^7.31 + 6*t^7.43 + 5*t^7.57 + t^7.69 + 6*t^7.72 + t^7.83 + 5*t^7.87 + 2*t^7.98 + t^8.04 + 2*t^8.12 + 2*t^8.16 + 2*t^8.27 + 2*t^8.3 + 2*t^8.42 + t^8.45 - t^8.56 + 3*t^8.6 - 2*t^8.71 + 3*t^8.74 - t^8.85 + 4*t^8.89 - t^4.43/y - t^6.44/y - t^6.99/y - t^7.13/y + t^7.57/y + (2*t^7.72)/y + (2*t^7.87)/y + (2*t^8.01)/y + t^8.16/y + t^8.27/y + t^8.3/y + (2*t^8.42)/y - t^8.45/y + (3*t^8.56)/y + (3*t^8.71)/y + (4*t^8.85)/y - t^4.43*y - t^6.44*y - t^6.99*y - t^7.13*y + t^7.57*y + 2*t^7.72*y + 2*t^7.87*y + 2*t^8.01*y + t^8.16*y + t^8.27*y + t^8.3*y + 2*t^8.42*y - t^8.45*y + 3*t^8.56*y + 3*t^8.71*y + 4*t^8.85*y | t^2.01/g1^7 + g1^6*t^2.56 + g1^4*t^2.71 + g1^2*t^2.85 + 2*t^3. + t^3.15/g1^2 + t^3.29/g1^4 + t^4.02/g1^14 + g1^3*t^4.28 + 2*g1*t^4.43 + (2*t^4.57)/g1 + (3*t^4.72)/g1^3 + (4*t^4.87)/g1^5 + (2*t^5.01)/g1^7 + g1^12*t^5.12 + t^5.16/g1^9 + g1^10*t^5.27 + t^5.3/g1^11 + 2*g1^8*t^5.42 + g1^6*t^5.56 + 3*g1^4*t^5.71 + 2*g1^2*t^5.85 - t^6. + t^6.03/g1^21 + t^6.15/g1^2 + (2*t^6.29)/g1^4 + t^6.44/g1^6 + (3*t^6.58)/g1^8 + (3*t^6.73)/g1^10 + g1^9*t^6.84 + (4*t^6.88)/g1^12 + g1^7*t^6.99 + (2*t^7.02)/g1^14 + 3*g1^5*t^7.13 + t^7.17/g1^16 + 4*g1^3*t^7.28 + t^7.31/g1^18 + 6*g1*t^7.43 + (5*t^7.57)/g1 + g1^18*t^7.69 + (6*t^7.72)/g1^3 + g1^16*t^7.83 + (5*t^7.87)/g1^5 + 2*g1^14*t^7.98 + t^8.04/g1^28 + 2*g1^12*t^8.12 + (2*t^8.16)/g1^9 + 2*g1^10*t^8.27 + (2*t^8.3)/g1^11 + 2*g1^8*t^8.42 + t^8.45/g1^13 - g1^6*t^8.56 + (3*t^8.6)/g1^15 - 2*g1^4*t^8.71 + (3*t^8.74)/g1^17 - g1^2*t^8.85 + (4*t^8.89)/g1^19 - (g1*t^4.43)/y - t^6.44/(g1^6*y) - (g1^7*t^6.99)/y - (g1^5*t^7.13)/y + t^7.57/(g1*y) + (2*t^7.72)/(g1^3*y) + (2*t^7.87)/(g1^5*y) + (2*t^8.01)/(g1^7*y) + t^8.16/(g1^9*y) + (g1^10*t^8.27)/y + t^8.3/(g1^11*y) + (2*g1^8*t^8.42)/y - t^8.45/(g1^13*y) + (3*g1^6*t^8.56)/y + (3*g1^4*t^8.71)/y + (4*g1^2*t^8.85)/y - g1*t^4.43*y - (t^6.44*y)/g1^6 - g1^7*t^6.99*y - g1^5*t^7.13*y + (t^7.57*y)/g1 + (2*t^7.72*y)/g1^3 + (2*t^7.87*y)/g1^5 + (2*t^8.01*y)/g1^7 + (t^8.16*y)/g1^9 + g1^10*t^8.27*y + (t^8.3*y)/g1^11 + 2*g1^8*t^8.42*y - (t^8.45*y)/g1^13 + 3*g1^6*t^8.56*y + 3*g1^4*t^8.71*y + 4*g1^2*t^8.85*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 56993 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5^2$ + $ M_4^2$ + $ M_3\phi_1^2$ + $ M_6\phi_1\tilde{q}_2^2$ + $ M_3M_6$ + $ M_1X_1$ | 0.6674 | 0.8202 | 0.8137 | [X:[1.3333], M:[0.6667, 0.7778, 1.1111, 1.0, 1.0, 0.8889], q:[0.6667, 0.6667], qb:[0.5556, 0.3333], phi:[0.4444]] | t^2.33 + 2*t^2.67 + 2*t^3. + t^3.33 + t^3.67 + 2*t^4. + 2*t^4.33 + 2*t^4.67 + 2*t^5. + 7*t^5.33 + 3*t^5.67 - t^4.33/y - t^4.33*y | detail | {a: 865/1296, c: 1063/1296, X1: 4/3, M1: 2/3, M2: 7/9, M3: 10/9, M4: 1, M5: 1, M6: 8/9, q1: 2/3, q2: 2/3, qb1: 5/9, qb2: 1/3, phi1: 4/9} |
| 56994 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5^2$ + $ M_4^2$ + $ M_3\phi_1^2$ + $ M_6\phi_1\tilde{q}_2^2$ + $ M_6q_2\tilde{q}_1$ | 0.7103 | 0.8864 | 0.8013 | [X:[], M:[0.7273, 0.8182, 1.0909, 1.0, 1.0, 0.8182], q:[0.6364, 0.6364], qb:[0.5455, 0.3636], phi:[0.4545]] | t^2.18 + 2*t^2.45 + t^2.73 + 2*t^3. + t^3.27 + t^3.55 + t^4.09 + 3*t^4.36 + 3*t^4.64 + 6*t^4.91 + 5*t^5.18 + 5*t^5.45 + 3*t^5.73 - t^4.36/y - t^4.36*y | detail | {a: 7563/10648, c: 18877/21296, M1: 8/11, M2: 9/11, M3: 12/11, M4: 1, M5: 1, M6: 9/11, q1: 7/11, q2: 7/11, qb1: 6/11, qb2: 4/11, phi1: 5/11} |
| 56992 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5^2$ + $ M_4^2$ + $ M_3\phi_1^2$ + $ M_6\phi_1\tilde{q}_2^2$ + $ M_6^2$ + $ M_1X_1$ | 0.6194 | 0.7622 | 0.8126 | [X:[1.4286], M:[0.5714, 0.7143, 1.1429, 1.0, 1.0, 1.0], q:[0.7143, 0.7143], qb:[0.5714, 0.2857], phi:[0.4286]] | t^2.14 + t^2.57 + 3*t^3. + t^3.43 + 2*t^3.86 + 4*t^4.29 + 5*t^5.14 + 5*t^5.57 + t^6. - t^4.29/y - t^4.29*y | detail | {a: 3399/5488, c: 4183/5488, X1: 10/7, M1: 4/7, M2: 5/7, M3: 8/7, M4: 1, M5: 1, M6: 1, q1: 5/7, q2: 5/7, qb1: 4/7, qb2: 2/7, phi1: 3/7} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46848 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5^2$ + $ M_4^2$ + $ M_3\phi_1^2$ | 0.7083 | 0.8692 | 0.8149 | [X:[], M:[0.8525, 0.9016, 1.0492, 1.0, 1.0], q:[0.5738, 0.5738], qb:[0.5246, 0.4262], phi:[0.4754]] | t^2.56 + t^2.7 + t^2.85 + 2*t^3. + t^3.15 + t^3.3 + t^3.98 + t^4.28 + 2*t^4.43 + t^4.57 + 2*t^4.72 + 3*t^4.87 + t^5.11 + t^5.26 + 2*t^5.41 + t^5.56 + 3*t^5.7 + 2*t^5.85 - t^6. - t^4.43/y - t^4.43*y | detail |