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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | [X:[], M:[[-1], [1], [-1], [4]], q:[[0], [1]], qb:[[-2], [1]], phi:[[0]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_1$, $ M_3$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ \phi_1^2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \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_4q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_2$, $ M_1^2$, $ M_1M_3$, $ M_3^2$, $ \phi_1q_1\tilde{q}_1$, $ M_3q_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$, $ 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$, $ \phi_1^2q_2\tilde{q}_1$, $ M_4q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_2$, $ M_4q_1\tilde{q}_2$, $ M_3q_1\tilde{q}_1$, $ q_1q_2\tilde{q}_1^2$ | $q_1q_2\tilde{q}_1\tilde{q}_2$ | -1 | 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^6.03 + 3*t^6.06 + t^6.12 + 5*t^6.48 + 8*t^6.51 + 3*t^6.54 + 3*t^6.57 + t^6.6 - t^6.99 + 6*t^7.02 + 3*t^7.05 + 2*t^7.08 + 8*t^7.47 + 3*t^7.5 + 5*t^7.53 + 3*t^7.56 + t^7.59 + 5*t^7.98 + 6*t^8.01 + 5*t^8.04 + t^8.07 + 3*t^8.1 + t^8.16 - 8*t^8.49 - 2*t^8.52 + 7*t^8.55 + 3*t^8.58 + 3*t^8.61 + t^8.64 + 7*t^8.97 - t^4.5/y - t^6.54/y - t^6.99/y + (3*t^7.53)/y + t^7.56/y + (3*t^7.98)/y + (4*t^8.01)/y + t^8.04/y + t^8.46/y + (3*t^8.49)/y + (2*t^8.52)/y + t^8.55/y - t^8.58/y + (3*t^8.97)/y - t^4.5*y - t^6.54*y - t^6.99*y + 3*t^7.53*y + t^7.56*y + 3*t^7.98*y + 4*t^8.01*y + t^8.04*y + t^8.46*y + 3*t^8.49*y + 2*t^8.52*y + t^8.55*y - t^8.58*y + 3*t^8.97*y | g1^4*t^2.04 + (3*t^2.49)/g1 + g1^2*t^2.52 + t^3. + t^3.48/g1^2 + g1*t^3.51 + (2*t^3.99)/g1 + 3*g1^2*t^4.02 + g1^8*t^4.08 + 3*g1^3*t^4.53 + g1^6*t^4.56 + (6*t^4.98)/g1^2 + 3*g1*t^5.01 + 2*g1^4*t^5.04 + (3*t^5.49)/g1 + 2*g1^2*t^5.52 + g1^5*t^5.55 + t^5.97/g1^3 - t^6. + g1^3*t^6.03 + 3*g1^6*t^6.06 + g1^12*t^6.12 + (5*t^6.48)/g1^2 + 8*g1*t^6.51 + 3*g1^4*t^6.54 + 3*g1^7*t^6.57 + g1^10*t^6.6 - t^6.99/g1 + 6*g1^2*t^7.02 + 3*g1^5*t^7.05 + 2*g1^8*t^7.08 + (8*t^7.47)/g1^3 + 3*t^7.5 + 5*g1^3*t^7.53 + 3*g1^6*t^7.56 + g1^9*t^7.59 + (5*t^7.98)/g1^2 + 6*g1*t^8.01 + 5*g1^4*t^8.04 + g1^7*t^8.07 + 3*g1^10*t^8.1 + g1^16*t^8.16 - (8*t^8.49)/g1 - 2*g1^2*t^8.52 + 7*g1^5*t^8.55 + 3*g1^8*t^8.58 + 3*g1^11*t^8.61 + g1^14*t^8.64 + (7*t^8.97)/g1^3 - t^4.5/y - (g1^4*t^6.54)/y - t^6.99/(g1*y) + (3*g1^3*t^7.53)/y + (g1^6*t^7.56)/y + (3*t^7.98)/(g1^2*y) + (4*g1*t^8.01)/y + (g1^4*t^8.04)/y + t^8.46/(g1^4*y) + (3*t^8.49)/(g1*y) + (2*g1^2*t^8.52)/y + (g1^5*t^8.55)/y - (g1^8*t^8.58)/y + (3*t^8.97)/(g1^3*y) - t^4.5*y - g1^4*t^6.54*y - (t^6.99*y)/g1 + 3*g1^3*t^7.53*y + g1^6*t^7.56*y + (3*t^7.98*y)/g1^2 + 4*g1*t^8.01*y + g1^4*t^8.04*y + (t^8.46*y)/g1^4 + (3*t^8.49*y)/g1 + 2*g1^2*t^8.52*y + g1^5*t^8.55*y - g1^8*t^8.58*y + (3*t^8.97*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 |
|---|---|---|---|---|---|---|---|---|
| 2824 | $M_1q_1q_2$ + $ 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_4q_1\tilde{q}_2$ | 0.6552 | 0.8365 | 0.7833 | [X:[], M:[0.8, 1.2, 0.8, 0.8], q:[0.75, 0.45], qb:[0.35, 0.45], phi:[0.5]] | 4*t^2.4 + t^2.7 + t^3. + t^3.3 + t^3.6 + 2*t^3.9 + 3*t^4.2 + 10*t^4.8 + 4*t^5.1 + 5*t^5.4 + 3*t^5.7 - t^4.5/y - t^4.5*y | detail | {a: 20967/32000, c: 26767/32000, M1: 4/5, M2: 6/5, M3: 4/5, M4: 4/5, q1: 3/4, q2: 9/20, qb1: 7/20, qb2: 9/20, phi1: 1/2} |
| 2826 | $M_1q_1q_2$ + $ 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]] | 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. - t^4.5/y - t^4.5*y | detail | {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} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 358 | 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$ | 0.6648 | 0.8527 | 0.7796 | [X:[], M:[0.8137, 1.1863, 0.8137, 0.6793], q:[0.75, 0.4363], qb:[0.4103, 0.4034], phi:[0.5]] | t^2.04 + 2*t^2.44 + t^2.52 + t^2.54 + t^3. + t^3.46 + t^3.48 + t^3.92 + t^3.94 + t^4.02 + t^4.04 + t^4.08 + t^4.12 + 2*t^4.48 + t^4.56 + t^4.58 + 3*t^4.88 + 2*t^4.96 + 2*t^4.98 + 2*t^5.04 + t^5.06 + t^5.08 + 2*t^5.44 + t^5.5 + 2*t^5.52 + t^5.54 + t^5.9 + t^5.92 + t^5.96 + t^5.98 - t^6. - t^4.5/y - t^4.5*y | detail |