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 |
|---|---|---|---|---|---|---|---|---|---|
| 363 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_3$ | 0.7027 | 0.862 | 0.8151 | [X:[], M:[1.0, 0.9335, 1.0665, 0.867], q:[0.4519, 0.5481], qb:[0.4817, 0.5848], phi:[0.4834]] | [X:[], M:[[0, 0], [-4, -4], [4, 4], [-8, -8]], q:[[-8, -4], [8, 4]], qb:[[4, 0], [0, 4]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_2$, $ \phi_1^2$, $ M_1$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_3$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \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_2M_4$, $ M_4\phi_1^2$, $ M_2^2$, $ M_1M_4$, $ M_2\phi_1^2$, $ M_1M_2$, $ M_3M_4$, $ \phi_1^4$, $ M_1\phi_1^2$, $ \phi_1^2q_2\tilde{q}_1$ | . | -2 | t^2.6 + t^2.8 + t^2.9 + t^3. + t^3.09 + t^3.11 + t^3.2 + t^4.16 + t^4.25 + t^4.34 + t^4.45 + t^4.54 + t^4.56 + t^4.65 + t^4.74 + t^4.85 + t^4.96 + t^5.2 + t^5.4 + t^5.5 + t^5.6 + t^5.7 + 2*t^5.8 + t^5.9 + t^5.99 - 2*t^6. + t^6.01 + t^6.1 + t^6.18 + t^6.22 + t^6.76 + t^6.85 + t^6.94 + t^6.96 + t^7.05 + t^7.06 + t^7.14 + t^7.15 + t^7.16 + t^7.24 + 2*t^7.25 - t^7.26 + t^7.27 + 2*t^7.34 + t^7.36 + t^7.43 + t^7.45 + t^7.46 + 2*t^7.54 + t^7.56 + t^7.63 + t^7.65 - t^7.66 + t^7.67 + t^7.74 + t^7.76 + t^7.8 + t^7.83 - t^7.84 + t^7.85 + t^7.86 + t^7.94 - t^7.95 + t^7.96 + t^8. + t^8.05 - t^8.06 + t^8.07 + t^8.1 + t^8.16 + t^8.2 + t^8.3 + t^8.32 + 2*t^8.4 + t^8.41 + 2*t^8.5 - t^8.51 + t^8.59 - t^8.6 + t^8.61 + t^8.68 - t^8.69 + 3*t^8.7 - t^8.71 + t^8.72 + t^8.79 - 3*t^8.8 + t^8.81 + t^8.88 - t^8.89 + 2*t^8.99 - t^4.45/y - t^7.05/y - t^7.35/y + t^7.55/y + t^7.85/y + t^8.4/y + t^8.5/y + t^8.6/y + t^8.69/y + t^8.7/y + t^8.71/y + (2*t^8.8)/y + t^8.89/y + t^8.9/y + t^8.91/y + t^8.99/y - t^4.45*y - t^7.05*y - t^7.35*y + t^7.55*y + t^7.85*y + t^8.4*y + t^8.5*y + t^8.6*y + t^8.69*y + t^8.7*y + t^8.71*y + 2*t^8.8*y + t^8.89*y + t^8.9*y + t^8.91*y + t^8.99*y | t^2.6/(g1^8*g2^8) + t^2.8/(g1^4*g2^4) + t^2.9/(g1^2*g2^2) + t^3. + g1^12*g2^4*t^3.09 + t^3.11/g1^8 + g1^4*g2^4*t^3.2 + t^4.16/(g1^17*g2^9) + t^4.25/(g1^5*g2^5) + (g1^7*t^4.34)/g2 + t^4.45/(g1*g2) + g1^11*g2^3*t^4.54 + t^4.56/(g1^9*g2) + g1^3*g2^3*t^4.65 + g1^15*g2^7*t^4.74 + g1^7*g2^7*t^4.85 + (g2^7*t^4.96)/g1 + t^5.2/(g1^16*g2^16) + t^5.4/(g1^12*g2^12) + t^5.5/(g1^10*g2^10) + t^5.6/(g1^8*g2^8) + t^5.7/(g1^6*g2^6) + (2*t^5.8)/(g1^4*g2^4) + t^5.9/(g1^2*g2^2) + g1^10*g2^2*t^5.99 - 2*t^6. + t^6.01/(g1^10*g2^2) + g1^2*g2^2*t^6.1 + g1^24*g2^8*t^6.18 + t^6.22/g1^16 + t^6.76/(g1^25*g2^17) + t^6.85/(g1^13*g2^13) + t^6.94/(g1*g2^9) + t^6.96/(g1^21*g2^13) + t^7.05/(g1^9*g2^9) + t^7.06/(g1^19*g2^11) + (g1^3*t^7.14)/g2^5 + t^7.15/(g1^7*g2^7) + t^7.16/(g1^17*g2^9) + (g1^5*t^7.24)/g2^3 + (2*t^7.25)/(g1^5*g2^5) - t^7.26/(g1^15*g2^7) + t^7.27/(g1^25*g2^9) + (2*g1^7*t^7.34)/g2 + t^7.36/(g1^13*g2^5) + g1^19*g2^3*t^7.43 + t^7.45/(g1*g2) + t^7.46/(g1^11*g2^3) + 2*g1^11*g2^3*t^7.54 + t^7.56/(g1^9*g2) + g1^23*g2^7*t^7.63 + g1^3*g2^3*t^7.65 - (g2*t^7.66)/g1^7 + t^7.67/(g1^17*g2) + g1^15*g2^7*t^7.74 + (g2^3*t^7.76)/g1^5 + t^7.8/(g1^24*g2^24) + g1^27*g2^11*t^7.83 - g1^17*g2^9*t^7.84 + g1^7*g2^7*t^7.85 + (g2^5*t^7.86)/g1^3 + g1^19*g2^11*t^7.94 - g1^9*g2^9*t^7.95 + (g2^7*t^7.96)/g1 + t^8./(g1^20*g2^20) + g1^11*g2^11*t^8.05 - g1*g2^9*t^8.06 + (g2^7*t^8.07)/g1^9 + t^8.1/(g1^18*g2^18) + g1^3*g2^11*t^8.16 + t^8.2/(g1^16*g2^16) + t^8.3/(g1^14*g2^14) + t^8.32/(g1^34*g2^18) + (2*t^8.4)/(g1^12*g2^12) + t^8.41/(g1^22*g2^14) + (2*t^8.5)/(g1^10*g2^10) - t^8.51/(g1^20*g2^12) + (g1^2*t^8.59)/g2^6 - t^8.6/(g1^8*g2^8) + t^8.61/(g1^18*g2^10) + (g1^14*t^8.68)/g2^2 - (g1^4*t^8.69)/g2^4 + (3*t^8.7)/(g1^6*g2^6) - t^8.71/(g1^16*g2^8) + t^8.72/(g1^26*g2^10) + (g1^6*t^8.79)/g2^2 - (3*t^8.8)/(g1^4*g2^4) + t^8.81/(g1^14*g2^6) + g1^18*g2^2*t^8.88 - g1^8*t^8.89 + 2*g1^10*g2^2*t^8.99 - t^4.45/(g1*g2*y) - t^7.05/(g1^9*g2^9*y) - t^7.35/(g1^3*g2^3*y) + (g1*g2*t^7.55)/y + (g1^7*g2^7*t^7.85)/y + t^8.4/(g1^12*g2^12*y) + t^8.5/(g1^10*g2^10*y) + t^8.6/(g1^8*g2^8*y) + (g1^4*t^8.69)/(g2^4*y) + t^8.7/(g1^6*g2^6*y) + t^8.71/(g1^16*g2^8*y) + (2*t^8.8)/(g1^4*g2^4*y) + (g1^8*t^8.89)/y + t^8.9/(g1^2*g2^2*y) + t^8.91/(g1^12*g2^4*y) + (g1^10*g2^2*t^8.99)/y - (t^4.45*y)/(g1*g2) - (t^7.05*y)/(g1^9*g2^9) - (t^7.35*y)/(g1^3*g2^3) + g1*g2*t^7.55*y + g1^7*g2^7*t^7.85*y + (t^8.4*y)/(g1^12*g2^12) + (t^8.5*y)/(g1^10*g2^10) + (t^8.6*y)/(g1^8*g2^8) + (g1^4*t^8.69*y)/g2^4 + (t^8.7*y)/(g1^6*g2^6) + (t^8.71*y)/(g1^16*g2^8) + (2*t^8.8*y)/(g1^4*g2^4) + g1^8*t^8.89*y + (t^8.9*y)/(g1^2*g2^2) + (t^8.91*y)/(g1^12*g2^4) + g1^10*g2^2*t^8.99*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 |
|---|---|---|---|---|---|---|---|---|
| 574 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_3$ + $ M_3M_5$ | 0.7096 | 0.8749 | 0.811 | [X:[], M:[1.0, 0.9169, 1.0831, 0.8338, 0.9169], q:[0.4404, 0.5596], qb:[0.4765, 0.6066], phi:[0.4792]] | t^2.5 + 2*t^2.75 + t^2.88 + t^3. + t^3.11 + t^3.14 + t^4.08 + t^4.19 + t^4.3 + t^4.44 + t^4.55 + t^4.58 + t^4.69 + t^4.8 + t^4.94 + t^5. + t^5.08 + 2*t^5.25 + t^5.38 + 3*t^5.5 + 2*t^5.63 + 2*t^5.75 + t^5.86 + t^5.88 + t^5.89 + t^5.98 - 3*t^6. - t^4.44/y - t^4.44*y | detail | |
| 1797 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_3$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ | 0.5662 | 0.7001 | 0.8087 | [X:[1.5714], M:[1.0, 0.7143, 1.2857, 0.4286], q:[0.3214, 0.6786], qb:[0.3929, 0.8929], phi:[0.4286]] | t^2.14 + t^2.57 + t^3. + 2*t^3.21 + t^3.43 + 2*t^3.64 + t^3.86 + t^4.29 + 2*t^4.71 + 2*t^5.14 + 2*t^5.36 + t^5.57 + 2*t^5.79 - t^4.29/y - t^4.29*y | detail | {a: 12429/21952, c: 15369/21952, X1: 11/7, M1: 1, M2: 5/7, M3: 9/7, M4: 3/7, q1: 9/28, q2: 19/28, qb1: 11/28, qb2: 25/28, phi1: 3/7} |
| 1799 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_3$ + $ \phi_1q_2^2$ | 0.599 | 0.7629 | 0.7852 | [X:[], M:[1.0, 0.8383, 1.1617, 0.6765], q:[0.2298, 0.7702], qb:[0.6085, 0.5533], phi:[0.4596]] | t^2.03 + t^2.35 + t^2.51 + 2*t^2.76 + t^3. + t^3.49 + t^3.73 + t^3.89 + t^4.06 + t^4.14 + t^4.38 + t^4.54 + 2*t^4.7 + 2*t^4.79 + t^4.86 + 2*t^5.03 + 2*t^5.11 + 2*t^5.27 + t^5.35 + 5*t^5.51 + 2*t^5.76 + t^5.92 - 2*t^6. - t^4.38/y - t^4.38*y | detail | |
| 1798 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_3$ + $ \phi_1\tilde{q}_2^2$ | 0.668 | 0.8316 | 0.8032 | [X:[], M:[1.0, 0.8427, 1.1573, 0.6854], q:[0.4551, 0.5449], qb:[0.3876, 0.7697], phi:[0.4607]] | t^2.06 + t^2.53 + t^2.76 + t^2.8 + t^3. + t^3.47 + t^3.67 + t^3.71 + t^3.91 + 2*t^4.11 + t^4.18 + t^4.38 + t^4.58 + t^4.65 + t^4.82 + t^4.85 + 2*t^5.06 + t^5.29 + t^5.33 + 2*t^5.53 + t^5.56 + t^5.6 + 2*t^5.76 + t^5.97 - t^6. - t^4.38/y - t^4.38*y | detail | |
| 576 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_3$ + $ \phi_1^2q_2\tilde{q}_1$ | 0.7027 | 0.862 | 0.8151 | [X:[], M:[1.0, 0.9336, 1.0664, 0.8673], q:[0.4502, 0.5498], qb:[0.4834, 0.583], phi:[0.4834]] | t^2.6 + t^2.8 + t^2.9 + t^3. + 2*t^3.1 + t^3.2 + t^4.15 + t^4.25 + t^4.35 + t^4.45 + 2*t^4.55 + t^4.65 + t^4.75 + t^4.85 + t^4.95 + t^5.2 + t^5.4 + t^5.5 + t^5.6 + t^5.7 + 2*t^5.8 + t^5.9 - t^4.45/y - t^4.45*y | detail |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 227 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ | 0.7407 | 0.9101 | 0.8139 | [X:[], M:[1.0, 0.7195, 0.8597, 0.8597], q:[0.5, 0.5], qb:[0.6403, 0.6403], phi:[0.4299]] | t^2.16 + 3*t^2.58 + t^3. + 2*t^3.42 + 3*t^4.29 + t^4.32 + 4*t^4.71 + 3*t^4.74 + 3*t^5.13 + 7*t^5.16 + t^5.58 - t^6. - t^4.29/y - t^4.29*y | detail |