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 |
|---|---|---|---|---|---|---|---|---|---|
| 2971 | 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$ + $ M_3M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1\tilde{q}_1^2$ | 0.7007 | 0.8906 | 0.7868 | [X:[], M:[1.0, 0.8343, 1.1657, 0.6686, 0.8343, 0.7514], q:[0.4393, 0.5607], qb:[0.395, 0.7707], phi:[0.4586]] | [X:[], M:[[0], [-8], [8], [-16], [-8], [-12]], q:[[-15], [15]], qb:[[7], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_6$, $ M_2$, $ M_5$, $ \phi_1^2$, $ q_2\tilde{q}_1$, $ M_1$, $ q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_4^2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_4M_6$, $ \phi_1q_1q_2$, $ M_2M_4$, $ M_4M_5$, $ M_6^2$, $ \phi_1q_2^2$, $ M_2M_6$, $ M_5M_6$, $ M_4\phi_1^2$, $ M_4q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ M_1M_4$, $ M_2M_5$, $ M_5^2$, $ M_6\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_6q_2\tilde{q}_1$, $ M_1M_6$, $ M_2\phi_1^2$, $ M_5\phi_1^2$, $ M_5q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_2$, $ M_1M_5$, $ \phi_1^4$, $ \phi_1^2q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_1\phi_1^2$, $ M_4\phi_1q_1\tilde{q}_1$, $ M_6q_1\tilde{q}_2$ | . | -2 | t^2.01 + t^2.25 + 2*t^2.5 + t^2.75 + t^2.87 + t^3. + t^3.63 + t^3.88 + 2*t^4.01 + t^4.24 + t^4.26 + t^4.38 + 3*t^4.51 + t^4.74 + 3*t^4.76 + t^4.87 + 5*t^5.01 + t^5.12 + 3*t^5.25 + 2*t^5.37 + 2*t^5.5 + t^5.62 + t^5.73 + t^5.75 + 2*t^5.88 - 2*t^6. + 2*t^6.02 + 2*t^6.13 + 2*t^6.27 - t^6.36 + 3*t^6.38 + 5*t^6.51 + 2*t^6.63 + 2*t^6.75 + 5*t^6.76 + 3*t^6.88 + 7*t^7.01 + t^7.11 + 2*t^7.24 + 7*t^7.26 + t^7.38 + 8*t^7.51 + t^7.61 + 2*t^7.62 + t^7.64 + 6*t^7.76 + 2*t^7.87 + 2*t^7.89 + 2*t^8.01 + 3*t^8.02 + t^8.12 + t^8.14 + t^8.24 + 2*t^8.27 - t^8.37 + 5*t^8.39 + t^8.49 - 6*t^8.5 + 6*t^8.52 + t^8.6 - t^8.62 + 5*t^8.64 - t^8.75 + 7*t^8.77 - 5*t^8.87 + 7*t^8.88 + t^8.98 - t^4.38/y - t^6.38/y - t^6.63/y - t^6.88/y - t^7.13/y + t^7.26/y + (2*t^7.51)/y + t^7.62/y + (3*t^7.76)/y + (2*t^7.87)/y + (3*t^8.01)/y + (2*t^8.12)/y + (3*t^8.25)/y + (3*t^8.37)/y - t^8.39/y + (2*t^8.5)/y + t^8.62/y + t^8.75/y + t^8.87/y - t^4.38*y - t^6.38*y - t^6.63*y - t^6.88*y - t^7.13*y + t^7.26*y + 2*t^7.51*y + t^7.62*y + 3*t^7.76*y + 2*t^7.87*y + 3*t^8.01*y + 2*t^8.12*y + 3*t^8.25*y + 3*t^8.37*y - t^8.39*y + 2*t^8.5*y + t^8.62*y + t^8.75*y + t^8.87*y | t^2.01/g1^16 + t^2.25/g1^12 + (2*t^2.5)/g1^8 + t^2.75/g1^4 + g1^22*t^2.87 + t^3. + t^3.63/g1^14 + t^3.88/g1^10 + (2*t^4.01)/g1^32 + g1^20*t^4.24 + t^4.26/g1^28 + t^4.38/g1^2 + (3*t^4.51)/g1^24 + g1^28*t^4.74 + (3*t^4.76)/g1^20 + g1^6*t^4.87 + (5*t^5.01)/g1^16 + g1^10*t^5.12 + (3*t^5.25)/g1^12 + 2*g1^14*t^5.37 + (2*t^5.5)/g1^8 + g1^18*t^5.62 + g1^44*t^5.73 + t^5.75/g1^4 + (2*t^5.88)/g1^26 - 2*t^6. + (2*t^6.02)/g1^48 + (2*t^6.13)/g1^22 + (2*t^6.27)/g1^44 - g1^30*t^6.36 + (3*t^6.38)/g1^18 + (5*t^6.51)/g1^40 + (2*t^6.63)/g1^14 + 2*g1^12*t^6.75 + (5*t^6.76)/g1^36 + (3*t^6.88)/g1^10 + (7*t^7.01)/g1^32 + g1^42*t^7.11 + 2*g1^20*t^7.24 + (7*t^7.26)/g1^28 + t^7.38/g1^2 + (8*t^7.51)/g1^24 + g1^50*t^7.61 + 2*g1^2*t^7.62 + t^7.64/g1^46 + (6*t^7.76)/g1^20 + 2*g1^6*t^7.87 + (2*t^7.89)/g1^42 + (2*t^8.01)/g1^16 + (3*t^8.02)/g1^64 + g1^10*t^8.12 + t^8.14/g1^38 + g1^36*t^8.24 + (2*t^8.27)/g1^60 - g1^14*t^8.37 + (5*t^8.39)/g1^34 + g1^40*t^8.49 - (6*t^8.5)/g1^8 + (6*t^8.52)/g1^56 + g1^66*t^8.6 - g1^18*t^8.62 + (5*t^8.64)/g1^30 - t^8.75/g1^4 + (7*t^8.77)/g1^52 - 5*g1^22*t^8.87 + (7*t^8.88)/g1^26 + g1^48*t^8.98 - t^4.38/(g1^2*y) - t^6.38/(g1^18*y) - t^6.63/(g1^14*y) - t^6.88/(g1^10*y) - t^7.13/(g1^6*y) + t^7.26/(g1^28*y) + (2*t^7.51)/(g1^24*y) + (g1^2*t^7.62)/y + (3*t^7.76)/(g1^20*y) + (2*g1^6*t^7.87)/y + (3*t^8.01)/(g1^16*y) + (2*g1^10*t^8.12)/y + (3*t^8.25)/(g1^12*y) + (3*g1^14*t^8.37)/y - t^8.39/(g1^34*y) + (2*t^8.5)/(g1^8*y) + (g1^18*t^8.62)/y + t^8.75/(g1^4*y) + (g1^22*t^8.87)/y - (t^4.38*y)/g1^2 - (t^6.38*y)/g1^18 - (t^6.63*y)/g1^14 - (t^6.88*y)/g1^10 - (t^7.13*y)/g1^6 + (t^7.26*y)/g1^28 + (2*t^7.51*y)/g1^24 + g1^2*t^7.62*y + (3*t^7.76*y)/g1^20 + 2*g1^6*t^7.87*y + (3*t^8.01*y)/g1^16 + 2*g1^10*t^8.12*y + (3*t^8.25*y)/g1^12 + 3*g1^14*t^8.37*y - (t^8.39*y)/g1^34 + (2*t^8.5*y)/g1^8 + g1^18*t^8.62*y + (t^8.75*y)/g1^4 + g1^22*t^8.87*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 |
|---|---|---|---|---|---|---|---|---|
| 3572 | $M_1q_1q_2$ + $ 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$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_4\phi_1q_1\tilde{q}_1$ | 0.6995 | 0.887 | 0.7886 | [X:[], M:[1.0, 0.8462, 1.1538, 0.6923, 0.8462, 0.7692], q:[0.4615, 0.5385], qb:[0.3846, 0.7692], phi:[0.4615]] | t^2.08 + t^2.31 + 2*t^2.54 + 2*t^2.77 + t^3. + t^3.69 + t^3.92 + 3*t^4.15 + 2*t^4.38 + 4*t^4.62 + 4*t^4.85 + 6*t^5.08 + 5*t^5.31 + 4*t^5.54 + t^5.77 - t^4.38/y - t^4.38*y | detail | {a: 6147/8788, c: 31179/35152, M1: 1, M2: 11/13, M3: 15/13, M4: 9/13, M5: 11/13, M6: 10/13, q1: 6/13, q2: 7/13, qb1: 5/13, qb2: 10/13, phi1: 6/13} |
| 3575 | $M_1q_1q_2$ + $ 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$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7\phi_1q_1\tilde{q}_1$ | 0.7211 | 0.9291 | 0.7761 | [X:[], M:[1.0, 0.8358, 1.1642, 0.6716, 0.8358, 0.7537, 0.7053], q:[0.4421, 0.5579], qb:[0.3937, 0.7705], phi:[0.4589]] | t^2.01 + t^2.12 + t^2.26 + 2*t^2.51 + t^2.75 + t^2.85 + t^3. + t^3.64 + 2*t^4.03 + t^4.13 + 2*t^4.23 + t^4.28 + 2*t^4.38 + 3*t^4.52 + 2*t^4.62 + t^4.72 + 3*t^4.77 + 2*t^4.87 + t^4.97 + 5*t^5.01 + 2*t^5.12 + 3*t^5.26 + 2*t^5.36 + 2*t^5.51 + t^5.61 + t^5.71 + 2*t^5.75 + t^5.9 - 2*t^6. - t^4.38/y - t^4.38*y | detail | |
| 3573 | $M_1q_1q_2$ + $ 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$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7q_2\tilde{q}_1$ + $ M_4X_1$ | 0.6779 | 0.8486 | 0.7988 | [X:[1.3658], M:[1.0, 0.8171, 1.1829, 0.6342, 0.8171, 0.7257, 0.9971], q:[0.4071, 0.5929], qb:[0.41, 0.7729], phi:[0.4543]] | t^2.18 + 2*t^2.45 + t^2.73 + t^2.99 + t^3. + t^3.54 + 2*t^3.81 + t^4.1 + t^4.35 + t^4.36 + t^4.37 + 2*t^4.63 + 4*t^4.9 + t^4.92 + t^5.17 + 3*t^5.18 + t^5.44 + 2*t^5.45 + 2*t^5.72 + t^5.73 + 2*t^5.98 + 3*t^5.99 - 2*t^6. - t^4.36/y - t^4.36*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1935 | 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$ + $ M_3M_5$ + $ \phi_1\tilde{q}_2^2$ | 0.6818 | 0.8558 | 0.7967 | [X:[], M:[1.0, 0.8382, 1.1618, 0.6764, 0.8382], q:[0.4466, 0.5534], qb:[0.3916, 0.7702], phi:[0.4595]] | t^2.03 + 2*t^2.51 + t^2.76 + t^2.84 + t^3. + t^3.65 + t^3.73 + t^3.89 + 2*t^4.06 + t^4.21 + t^4.38 + 2*t^4.54 + t^4.7 + t^4.79 + t^4.86 + 4*t^5.03 + 2*t^5.27 + 2*t^5.35 + 2*t^5.51 + t^5.59 + t^5.67 + 2*t^5.76 + t^5.92 - 2*t^6. - t^4.38/y - t^4.38*y | detail |