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 |
|---|---|---|---|---|---|---|---|---|---|
| 2826 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2M_3$ + $ \phi_1^4$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_3q_1\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ | 0.6789 | 0.8759 | 0.775 | [X:[], M:[0.8267, 1.1733, 0.8267, 0.6933, 0.8267], q:[0.75, 0.4233], qb:[0.4033, 0.4233], phi:[0.5]] | [X:[], M:[[-1], [1], [-1], [4], [-1]], q:[[0], [1]], qb:[[-2], [1]], phi:[[0]]] | 1 | {a: 325849/480000, c: 420449/480000, M1: 62/75, M2: 88/75, M3: 62/75, M4: 52/75, M5: 62/75, q1: 3/4, q2: 127/300, qb1: 121/300, qb2: 127/300, phi1: 1/2} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_1$, $ M_3$, $ M_5$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ \phi_1^2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_1M_4$, $ M_3M_4$, $ M_4M_5$, $ M_4q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ M_1M_5$, $ M_3M_5$, $ M_5^2$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_2$, $ M_3q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_4\phi_1^2$, $ q_2^2\tilde{q}_2^2$, $ M_1\phi_1^2$, $ M_3\phi_1^2$, $ M_5\phi_1^2$, $ \phi_1^2q_2\tilde{q}_1$, $ M_4q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_2$, $ M_3q_1\tilde{q}_1$, $ M_5q_1\tilde{q}_1$, $ q_1q_2\tilde{q}_1^2$ | . | -4 | t^2.08 + 4*t^2.48 + t^2.54 + t^3. + t^3.46 + 2*t^3.98 + 3*t^4.04 + t^4.16 + 4*t^4.56 + t^4.62 + 10*t^4.96 + 4*t^5.02 + 2*t^5.08 + 4*t^5.48 + 2*t^5.54 + 2*t^5.94 - 4*t^6. + 3*t^6.12 + t^6.24 + 7*t^6.46 + 10*t^6.52 + 3*t^6.58 + 4*t^6.64 + t^6.7 - 2*t^6.98 + 9*t^7.04 + 4*t^7.1 + 2*t^7.16 + 18*t^7.44 + 5*t^7.5 + 4*t^7.56 + 3*t^7.62 + 9*t^7.96 + 8*t^8.02 + 2*t^8.08 + 3*t^8.2 + t^8.32 + 2*t^8.42 - 18*t^8.48 - 5*t^8.54 + 8*t^8.6 + 3*t^8.66 + 4*t^8.72 + t^8.78 + 14*t^8.94 - t^4.5/y - t^6.58/y - (2*t^6.98)/y + (4*t^7.56)/y + t^7.62/y + (6*t^7.96)/y + (6*t^8.02)/y + t^8.08/y + t^8.42/y + (4*t^8.48)/y + (2*t^8.54)/y - t^8.66/y + (4*t^8.94)/y - t^4.5*y - t^6.58*y - 2*t^6.98*y + 4*t^7.56*y + t^7.62*y + 6*t^7.96*y + 6*t^8.02*y + t^8.08*y + t^8.42*y + 4*t^8.48*y + 2*t^8.54*y - t^8.66*y + 4*t^8.94*y | g1^4*t^2.08 + (4*t^2.48)/g1 + g1^2*t^2.54 + t^3. + t^3.46/g1^2 + (2*t^3.98)/g1 + 3*g1^2*t^4.04 + g1^8*t^4.16 + 4*g1^3*t^4.56 + g1^6*t^4.62 + (10*t^4.96)/g1^2 + 4*g1*t^5.02 + 2*g1^4*t^5.08 + (4*t^5.48)/g1 + 2*g1^2*t^5.54 + (2*t^5.94)/g1^3 - 4*t^6. + 3*g1^6*t^6.12 + g1^12*t^6.24 + (7*t^6.46)/g1^2 + 10*g1*t^6.52 + 3*g1^4*t^6.58 + 4*g1^7*t^6.64 + g1^10*t^6.7 - (2*t^6.98)/g1 + 9*g1^2*t^7.04 + 4*g1^5*t^7.1 + 2*g1^8*t^7.16 + (18*t^7.44)/g1^3 + 5*t^7.5 + 4*g1^3*t^7.56 + 3*g1^6*t^7.62 + (9*t^7.96)/g1^2 + 8*g1*t^8.02 + 2*g1^4*t^8.08 + 3*g1^10*t^8.2 + g1^16*t^8.32 + (2*t^8.42)/g1^4 - (18*t^8.48)/g1 - 5*g1^2*t^8.54 + 8*g1^5*t^8.6 + 3*g1^8*t^8.66 + 4*g1^11*t^8.72 + g1^14*t^8.78 + (14*t^8.94)/g1^3 - t^4.5/y - (g1^4*t^6.58)/y - (2*t^6.98)/(g1*y) + (4*g1^3*t^7.56)/y + (g1^6*t^7.62)/y + (6*t^7.96)/(g1^2*y) + (6*g1*t^8.02)/y + (g1^4*t^8.08)/y + t^8.42/(g1^4*y) + (4*t^8.48)/(g1*y) + (2*g1^2*t^8.54)/y - (g1^8*t^8.66)/y + (4*t^8.94)/(g1^3*y) - t^4.5*y - g1^4*t^6.58*y - (2*t^6.98*y)/g1 + 4*g1^3*t^7.56*y + g1^6*t^7.62*y + (6*t^7.96*y)/g1^2 + 6*g1*t^8.02*y + g1^4*t^8.08*y + (t^8.42*y)/g1^4 + (4*t^8.48*y)/g1 + 2*g1^2*t^8.54*y - g1^8*t^8.66*y + (4*t^8.94*y)/g1^3 |
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1810 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2M_3$ + $ \phi_1^4$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_3q_1\tilde{q}_2$ | 0.6642 | 0.8511 | 0.7804 | [X:[], M:[0.83, 1.17, 0.83, 0.6801], q:[0.75, 0.42], qb:[0.41, 0.42], phi:[0.5]] | t^2.04 + 3*t^2.49 + t^2.52 + t^3. + t^3.48 + t^3.51 + 2*t^3.99 + 3*t^4.02 + t^4.08 + 3*t^4.53 + t^4.56 + 6*t^4.98 + 3*t^5.01 + 2*t^5.04 + 3*t^5.49 + 2*t^5.52 + t^5.55 + t^5.97 - t^6. - t^4.5/y - t^4.5*y | detail |