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 |
|---|---|---|---|---|---|---|---|---|---|
| 417 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_1^2$ + $ M_4q_1\tilde{q}_2$ | 0.6675 | 0.8146 | 0.8194 | [X:[], M:[1.0, 1.118, 0.9688, 0.7639], q:[0.7795, 0.4254], qb:[0.5746, 0.4566], phi:[0.441]] | [X:[], M:[[0], [4], [-18], [-8]], q:[[1], [-11]], qb:[[11], [7]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ \phi_1^2$, $ M_3$, $ M_1$, $ M_2$, $ q_1q_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ \phi_1\tilde{q}_1^2$, $ M_4\phi_1^2$, $ M_3M_4$, $ M_1M_4$, $ \phi_1^4$, $ M_2M_4$, $ M_1\phi_1^2$, $ M_3^2$, $ M_1M_3$, $ M_4q_1q_2$ | . | -1 | t^2.29 + t^2.65 + t^2.91 + t^3. + t^3.35 + t^3.61 + t^3.88 + t^3.97 + 2*t^4.06 + t^4.32 + t^4.42 + t^4.58 + t^4.77 + t^4.94 + t^5.2 + 2*t^5.29 + t^5.65 + t^5.81 + t^5.91 - t^6. - t^6.09 + t^6.17 + 2*t^6.26 + t^6.35 - t^6.45 + 2*t^6.52 + 2*t^6.61 + 2*t^6.71 + t^6.78 + 2*t^6.88 + 2*t^6.97 + 2*t^7.06 + 2*t^7.23 + t^7.42 + 2*t^7.49 + 2*t^7.58 + t^7.68 + t^7.75 + t^7.84 + 4*t^7.94 + t^8.03 + t^8.1 + 2*t^8.12 + 2*t^8.2 - t^8.29 + t^8.46 + t^8.48 + t^8.55 + t^8.72 - 2*t^8.74 + 2*t^8.81 + 2*t^8.83 - t^4.32/y - t^6.61/y - t^7.23/y + t^7.42/y + t^7.94/y + t^8.03/y + t^8.2/y + t^8.29/y + t^8.55/y + (2*t^8.65)/y + t^8.91/y - t^4.32*y - t^6.61*y - t^7.23*y + t^7.42*y + t^7.94*y + t^8.03*y + t^8.2*y + t^8.29*y + t^8.55*y + 2*t^8.65*y + t^8.91*y | t^2.29/g1^8 + t^2.65/g1^4 + t^2.91/g1^18 + t^3. + g1^4*t^3.35 + t^3.61/g1^10 + t^3.88/g1^24 + t^3.97/g1^6 + 2*g1^12*t^4.06 + t^4.32/g1^2 + g1^16*t^4.42 + t^4.58/g1^16 + g1^20*t^4.77 + t^4.94/g1^12 + t^5.2/g1^26 + (2*t^5.29)/g1^8 + t^5.65/g1^4 + t^5.81/g1^36 + t^5.91/g1^18 - t^6. - g1^18*t^6.09 + t^6.17/g1^32 + (2*t^6.26)/g1^14 + g1^4*t^6.35 - g1^22*t^6.45 + (2*t^6.52)/g1^28 + (2*t^6.61)/g1^10 + 2*g1^8*t^6.71 + t^6.78/g1^42 + (2*t^6.88)/g1^24 + (2*t^6.97)/g1^6 + 2*g1^12*t^7.06 + (2*t^7.23)/g1^20 + g1^16*t^7.42 + (2*t^7.49)/g1^34 + (2*t^7.58)/g1^16 + g1^2*t^7.68 + t^7.75/g1^48 + t^7.84/g1^30 + (4*t^7.94)/g1^12 + g1^6*t^8.03 + t^8.1/g1^44 + 2*g1^24*t^8.12 + (2*t^8.2)/g1^26 - t^8.29/g1^8 + t^8.46/g1^40 + g1^28*t^8.48 + t^8.55/g1^22 + t^8.72/g1^54 - 2*g1^14*t^8.74 + (2*t^8.81)/g1^36 + 2*g1^32*t^8.83 - t^4.32/(g1^2*y) - t^6.61/(g1^10*y) - t^7.23/(g1^20*y) + (g1^16*t^7.42)/y + t^7.94/(g1^12*y) + (g1^6*t^8.03)/y + t^8.2/(g1^26*y) + t^8.29/(g1^8*y) + t^8.55/(g1^22*y) + (2*t^8.65)/(g1^4*y) + t^8.91/(g1^18*y) - (t^4.32*y)/g1^2 - (t^6.61*y)/g1^10 - (t^7.23*y)/g1^20 + g1^16*t^7.42*y + (t^7.94*y)/g1^12 + g1^6*t^8.03*y + (t^8.2*y)/g1^26 + (t^8.29*y)/g1^8 + (t^8.55*y)/g1^22 + (2*t^8.65*y)/g1^4 + (t^8.91*y)/g1^18 |
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 |
|---|---|---|---|---|---|---|---|---|
| 684 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_1M_3$ | 0.6667 | 0.8125 | 0.8205 | [X:[], M:[1.0, 1.1111, 1.0, 0.7778], q:[0.7778, 0.4444], qb:[0.5556, 0.4444], phi:[0.4444]] | t^2.33 + t^2.67 + 2*t^3. + t^3.33 + t^3.67 + 4*t^4. + 2*t^4.33 + 2*t^4.67 + t^5. + 3*t^5.33 + t^5.67 - t^4.33/y - t^4.33*y | detail | {a: 2/3, c: 13/16, M1: 1, M2: 10/9, M3: 1, M4: 7/9, q1: 7/9, q2: 4/9, qb1: 5/9, qb2: 4/9, phi1: 4/9} |
| 690 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_3M_4$ | 0.6402 | 0.7796 | 0.8212 | [X:[], M:[1.0, 1.0769, 1.1538, 0.8462], q:[0.7692, 0.5385], qb:[0.4615, 0.3846], phi:[0.4615]] | t^2.54 + t^2.77 + t^3. + t^3.23 + t^3.46 + 2*t^3.69 + 2*t^3.92 + 2*t^4.15 + t^4.38 + t^4.62 + t^5.08 + t^5.31 + t^5.54 - t^4.38/y - t^4.38*y | detail | {a: 1731/2704, c: 527/676, M1: 1, M2: 14/13, M3: 15/13, M4: 11/13, q1: 10/13, q2: 7/13, qb1: 6/13, qb2: 5/13, phi1: 6/13} |
| 689 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_5\phi_1q_2^2$ | 0.688 | 0.8539 | 0.8058 | [X:[], M:[1.0, 1.1155, 0.9801, 0.769, 0.6931], q:[0.7789, 0.4323], qb:[0.5677, 0.4522], phi:[0.4422]] | t^2.08 + t^2.31 + t^2.65 + t^2.94 + t^3. + t^3.35 + t^3.63 + t^3.98 + 2*t^4.04 + t^4.16 + t^4.33 + 2*t^4.39 + t^4.61 + 2*t^4.73 + t^4.96 + t^5.02 + t^5.08 + t^5.25 + 2*t^5.31 + t^5.43 + t^5.65 + t^5.71 + t^5.88 + t^5.94 - t^6. - t^4.33/y - t^4.33*y | detail | |
| 687 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_1^2$ + $ M_4q_1\tilde{q}_2$ + $ M_5q_1q_2$ | 0.6846 | 0.8444 | 0.8107 | [X:[], M:[1.0, 1.114, 0.9869, 0.772, 0.785], q:[0.7785, 0.4365], qb:[0.5635, 0.4495], phi:[0.443]] | t^2.32 + t^2.36 + t^2.66 + t^2.96 + t^3. + t^3.34 + t^3.95 + t^3.99 + 2*t^4.03 + t^4.33 + t^4.37 + t^4.63 + t^4.67 + 2*t^4.71 + t^4.97 + t^5.01 + t^5.28 + 3*t^5.32 + t^5.36 + t^5.66 + t^5.7 + t^5.92 - t^6. - t^4.33/y - t^4.33*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 |
|---|---|---|---|---|---|---|---|---|---|
| 263 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_1^2$ | 0.6492 | 0.7814 | 0.8308 | [X:[], M:[1.0, 1.1152, 0.9817], q:[0.7788, 0.4333], qb:[0.5667, 0.4515], phi:[0.4424]] | t^2.65 + t^2.95 + t^3. + t^3.35 + t^3.64 + t^3.69 + t^3.93 + t^3.98 + 2*t^4.04 + t^4.33 + t^4.38 + t^4.73 + t^5.31 + t^5.89 - t^6. - t^4.33/y - t^4.33*y | detail |