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 |
|---|---|---|---|---|---|---|---|---|---|
| 55240 | 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_3^2$ + $ M_1M_2$ + $ M_2M_5$ + $ M_5q_1\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1^2$ | 0.7288 | 0.914 | 0.7974 | [X:[], M:[0.925, 1.075, 1.0, 0.85, 0.925, 0.6688], q:[0.5, 0.575], qb:[0.425, 0.575], phi:[0.4812]] | [X:[], M:[[-4], [4], [0], [-8], [-4], [9]], q:[[0], [4]], qb:[[-4], [4]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_4$, $ M_1$, $ M_5$, $ \phi_1^2$, $ M_3$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_6^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4M_6$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_6$, $ M_5M_6$, $ M_6\phi_1^2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_3M_6$, $ M_6q_2\tilde{q}_1$, $ M_4^2$, $ M_6q_1\tilde{q}_2$, $ M_1M_4$, $ M_4M_5$, $ M_4\phi_1^2$, $ M_1^2$, $ M_3M_4$, $ M_1M_5$, $ M_5^2$, $ M_4q_2\tilde{q}_1$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_1M_3$, $ M_3M_5$, $ \phi_1^4$, $ M_5q_2\tilde{q}_1$, $ M_4q_1\tilde{q}_2$, $ M_3\phi_1^2$, $ \phi_1^2q_2\tilde{q}_1$ | $q_2^2\tilde{q}_1^2$ | -1 | t^2.01 + t^2.55 + 2*t^2.77 + t^2.89 + 2*t^3. + t^3.23 + t^4.01 + t^4.22 + 3*t^4.44 + t^4.56 + 2*t^4.67 + 2*t^4.78 + 4*t^4.89 + 2*t^5.01 + t^5.1 + t^5.23 + 2*t^5.32 + t^5.44 + 3*t^5.55 + 2*t^5.66 + 3*t^5.77 + 2*t^5.89 - t^6. + t^6.02 + t^6.11 - t^6.23 + 2*t^6.45 + t^6.56 + 2*t^6.68 + t^6.77 + 2*t^6.79 + 4*t^6.9 + 3*t^6.99 + 2*t^7.01 + t^7.11 + 5*t^7.22 + t^7.24 + 4*t^7.33 + 7*t^7.44 + 2*t^7.56 + t^7.65 + 7*t^7.67 + 4*t^7.78 + 2*t^7.87 + 5*t^7.89 + t^7.99 - 4*t^8.01 + t^8.03 + 3*t^8.1 + 2*t^8.12 + 2*t^8.21 - t^8.23 + 3*t^8.32 + 3*t^8.44 + 2*t^8.46 + t^8.57 + 4*t^8.66 + 2*t^8.68 - 5*t^8.77 + 2*t^8.79 + 2*t^8.89 + 4*t^8.91 - t^4.44/y - t^6.45/y - t^6.99/y - t^7.22/y - t^7.33/y + (2*t^7.56)/y + t^7.67/y + (2*t^7.78)/y + (2*t^7.89)/y + (2*t^8.01)/y + t^8.23/y + (2*t^8.32)/y + (2*t^8.44)/y - t^8.46/y + (3*t^8.55)/y + (2*t^8.66)/y + (5*t^8.77)/y + (2*t^8.89)/y - t^4.44*y - t^6.45*y - t^6.99*y - t^7.22*y - t^7.33*y + 2*t^7.56*y + t^7.67*y + 2*t^7.78*y + 2*t^7.89*y + 2*t^8.01*y + t^8.23*y + 2*t^8.32*y + 2*t^8.44*y - t^8.46*y + 3*t^8.55*y + 2*t^8.66*y + 5*t^8.77*y + 2*t^8.89*y | g1^9*t^2.01 + t^2.55/g1^8 + (2*t^2.77)/g1^4 + t^2.89/g1^2 + 2*t^3. + g1^4*t^3.23 + g1^18*t^4.01 + t^4.22/g1^5 + (3*t^4.44)/g1 + g1*t^4.56 + 2*g1^3*t^4.67 + 2*g1^5*t^4.78 + 4*g1^7*t^4.89 + 2*g1^9*t^5.01 + t^5.1/g1^16 + g1^13*t^5.23 + (2*t^5.32)/g1^12 + t^5.44/g1^10 + (3*t^5.55)/g1^8 + (2*t^5.66)/g1^6 + (3*t^5.77)/g1^4 + (2*t^5.89)/g1^2 - t^6. + g1^27*t^6.02 + g1^2*t^6.11 - g1^4*t^6.23 + 2*g1^8*t^6.45 + g1^10*t^6.56 + 2*g1^12*t^6.68 + t^6.77/g1^13 + 2*g1^14*t^6.79 + 4*g1^16*t^6.9 + (3*t^6.99)/g1^9 + 2*g1^18*t^7.01 + t^7.11/g1^7 + (5*t^7.22)/g1^5 + g1^22*t^7.24 + (4*t^7.33)/g1^3 + (7*t^7.44)/g1 + 2*g1*t^7.56 + t^7.65/g1^24 + 7*g1^3*t^7.67 + 4*g1^5*t^7.78 + (2*t^7.87)/g1^20 + 5*g1^7*t^7.89 + t^7.99/g1^18 - 4*g1^9*t^8.01 + g1^36*t^8.03 + (3*t^8.1)/g1^16 + 2*g1^11*t^8.12 + (2*t^8.21)/g1^14 - g1^13*t^8.23 + (3*t^8.32)/g1^12 + (3*t^8.44)/g1^10 + 2*g1^17*t^8.46 + g1^19*t^8.57 + (4*t^8.66)/g1^6 + 2*g1^21*t^8.68 - (5*t^8.77)/g1^4 + 2*g1^23*t^8.79 + (2*t^8.89)/g1^2 + 4*g1^25*t^8.91 - t^4.44/(g1*y) - (g1^8*t^6.45)/y - t^6.99/(g1^9*y) - t^7.22/(g1^5*y) - t^7.33/(g1^3*y) + (2*g1*t^7.56)/y + (g1^3*t^7.67)/y + (2*g1^5*t^7.78)/y + (2*g1^7*t^7.89)/y + (2*g1^9*t^8.01)/y + (g1^13*t^8.23)/y + (2*t^8.32)/(g1^12*y) + (2*t^8.44)/(g1^10*y) - (g1^17*t^8.46)/y + (3*t^8.55)/(g1^8*y) + (2*t^8.66)/(g1^6*y) + (5*t^8.77)/(g1^4*y) + (2*t^8.89)/(g1^2*y) - (t^4.44*y)/g1 - g1^8*t^6.45*y - (t^6.99*y)/g1^9 - (t^7.22*y)/g1^5 - (t^7.33*y)/g1^3 + 2*g1*t^7.56*y + g1^3*t^7.67*y + 2*g1^5*t^7.78*y + 2*g1^7*t^7.89*y + 2*g1^9*t^8.01*y + g1^13*t^8.23*y + (2*t^8.32*y)/g1^12 + (2*t^8.44*y)/g1^10 - g1^17*t^8.46*y + (3*t^8.55*y)/g1^8 + (2*t^8.66*y)/g1^6 + (5*t^8.77*y)/g1^4 + (2*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 |
|---|---|---|---|---|---|---|---|---|
| 56907 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_2$ + $ M_2M_5$ + $ M_5q_1\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_6q_1\tilde{q}_2$ | 0.7016 | 0.8843 | 0.7934 | [X:[], M:[0.8462, 1.1538, 1.0, 0.6923, 0.8462, 0.8462], q:[0.5, 0.6538], qb:[0.3462, 0.6538], phi:[0.4615]] | t^2.08 + 3*t^2.54 + t^2.77 + 2*t^3. + t^3.46 + t^3.92 + t^4.15 + 3*t^4.38 + 3*t^4.62 + 3*t^4.85 + 6*t^5.08 + 6*t^5.31 + 5*t^5.54 + 2*t^5.77 + t^6. - t^4.38/y - t^4.38*y | detail | {a: 24663/35152, c: 31085/35152, M1: 11/13, M2: 15/13, M3: 1, M4: 9/13, M5: 11/13, M6: 11/13, q1: 1/2, q2: 17/26, qb1: 9/26, qb2: 17/26, phi1: 6/13} |
| 56894 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_2$ + $ M_2M_5$ + $ M_5q_1\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_6^2$ + $ M_4X_1$ | 0.6188 | 0.7716 | 0.802 | [X:[1.4444], M:[0.7778, 1.2222, 1.0, 0.5556, 0.7778, 1.0], q:[0.5, 0.7222], qb:[0.2778, 0.7222], phi:[0.4444]] | 2*t^2.33 + t^2.67 + 3*t^3. + 2*t^3.67 + 4*t^4.33 + t^4.67 + 4*t^5. + 4*t^5.33 + 6*t^5.67 + 2*t^6. - t^4.33/y - t^4.33*y | detail | {a: 401/648, c: 125/162, X1: 13/9, M1: 7/9, M2: 11/9, M3: 1, M4: 5/9, M5: 7/9, M6: 1, q1: 1/2, q2: 13/18, qb1: 5/18, qb2: 13/18, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 46918 | 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_3^2$ + $ M_1M_2$ + $ M_2M_5$ + $ M_5q_1\tilde{q}_2$ | 0.708 | 0.8725 | 0.8115 | [X:[], M:[0.9246, 1.0754, 1.0, 0.8491, 0.9246], q:[0.5, 0.5754], qb:[0.4246, 0.5754], phi:[0.4811]] | t^2.55 + 2*t^2.77 + t^2.89 + 2*t^3. + t^3.23 + t^3.99 + t^4.22 + 3*t^4.44 + 2*t^4.67 + 3*t^4.9 + t^5.09 + 2*t^5.32 + t^5.43 + 3*t^5.55 + 2*t^5.66 + 3*t^5.77 + 2*t^5.89 - t^6. - t^4.44/y - t^4.44*y | detail |