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 |
|---|---|---|---|---|---|---|---|---|---|
| 2885 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_4$ + $ \phi_1q_2^2$ + $ M_6\phi_1q_1\tilde{q}_1$ | 0.6815 | 0.8594 | 0.793 | [X:[], M:[0.8466, 1.0767, 1.0, 1.1534, 0.6932, 0.6917], q:[0.3842, 0.7692], qb:[0.4624, 0.5376], phi:[0.4617]] | [X:[], M:[[-8], [4], [0], [8], [-16], [10]], q:[[7], [1]], qb:[[-15], [15]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_6$, $ M_1$, $ q_1\tilde{q}_2$, $ M_3$, $ M_2$, $ M_4$, $ q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ M_5M_6$, $ M_6^2$, $ \phi_1q_1\tilde{q}_2$, $ M_5^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_1M_5$, $ M_1M_6$, $ M_6q_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ M_5q_1\tilde{q}_2$, $ M_1^2$, $ M_3M_5$, $ \phi_1q_2\tilde{q}_1$, $ M_3M_6$, $ M_2M_5$, $ M_2M_6$, $ \phi_1q_2\tilde{q}_2$, $ q_1^2\tilde{q}_2^2$, $ M_1M_3$, $ M_4M_5$, $ M_4M_6$, $ M_1M_2$, $ M_5\phi_1q_1^2$, $ M_6q_2\tilde{q}_1$, $ M_6\phi_1q_1^2$ | $M_2q_1\tilde{q}_2$ | 0 | 2*t^2.08 + t^2.54 + t^2.77 + t^3. + t^3.23 + t^3.46 + 2*t^3.69 + 3*t^4.15 + 2*t^4.16 + t^4.38 + t^4.61 + 2*t^4.62 + t^4.84 + t^4.85 + 3*t^5.08 + 3*t^5.31 + t^5.53 + 2*t^5.54 + 4*t^5.77 + 7*t^6.23 + 2*t^6.24 + 3*t^6.46 + 5*t^6.69 + 2*t^6.7 + 5*t^6.92 + 4*t^7.15 + 2*t^7.16 + 5*t^7.38 + 2*t^7.39 + 3*t^7.61 + 2*t^7.62 + 2*t^7.84 + 6*t^7.85 + 2*t^8.07 - 2*t^8.08 + 4*t^8.3 + 7*t^8.31 + 3*t^8.32 + t^8.53 + 2*t^8.54 + 3*t^8.76 + 6*t^8.77 + 2*t^8.78 + 2*t^8.99 - t^4.38/y - (2*t^6.46)/y + t^7.15/y + (2*t^7.62)/y + t^7.84/y + t^7.85/y + (2*t^8.08)/y + (5*t^8.31)/y + (6*t^8.77)/y - t^4.38*y - 2*t^6.46*y + t^7.15*y + 2*t^7.62*y + t^7.84*y + t^7.85*y + 2*t^8.08*y + 5*t^8.31*y + 6*t^8.77*y | t^2.08/g1^16 + g1^10*t^2.08 + t^2.54/g1^8 + g1^22*t^2.77 + t^3. + g1^4*t^3.23 + g1^8*t^3.46 + t^3.69/g1^14 + g1^12*t^3.69 + t^4.15/g1^6 + 2*g1^20*t^4.15 + (2*t^4.16)/g1^32 + t^4.38/g1^2 + g1^28*t^4.61 + t^4.62/g1^24 + g1^2*t^4.62 + g1^32*t^4.84 + g1^6*t^4.85 + (2*t^5.08)/g1^16 + g1^10*t^5.08 + t^5.31/g1^12 + 2*g1^14*t^5.31 + g1^44*t^5.53 + t^5.54/g1^8 + g1^18*t^5.54 + (3*t^5.77)/g1^4 + g1^22*t^5.77 - t^6. + g1^26*t^6. + (2*t^6.23)/g1^22 + 3*g1^4*t^6.23 + 2*g1^30*t^6.23 + (2*t^6.24)/g1^48 + 2*g1^8*t^6.46 + g1^34*t^6.46 + t^6.69/g1^14 + 3*g1^12*t^6.69 + g1^38*t^6.69 + (2*t^6.7)/g1^40 + (2*t^6.92)/g1^10 + g1^16*t^6.92 + 2*g1^42*t^6.92 + t^7.15/g1^6 + 3*g1^20*t^7.15 + (2*t^7.16)/g1^32 + t^7.38/g1^2 + 3*g1^24*t^7.38 + g1^50*t^7.38 + (2*t^7.39)/g1^28 + 2*g1^28*t^7.61 + g1^54*t^7.61 + t^7.62/g1^24 + g1^2*t^7.62 + 2*g1^32*t^7.84 + t^7.85/g1^46 + (2*t^7.85)/g1^20 + 3*g1^6*t^7.85 + 2*g1^36*t^8.07 - t^8.08/g1^16 - g1^10*t^8.08 + 3*g1^40*t^8.3 + g1^66*t^8.3 + t^8.31/g1^38 + (4*t^8.31)/g1^12 + 2*g1^14*t^8.31 + (3*t^8.32)/g1^64 + g1^44*t^8.53 + t^8.54/g1^34 - (2*t^8.54)/g1^8 + 3*g1^18*t^8.54 + 3*g1^48*t^8.76 + (2*t^8.77)/g1^30 + (4*t^8.77)/g1^4 + (2*t^8.78)/g1^56 + 2*g1^52*t^8.99 - t^4.38/(g1^2*y) - t^6.46/(g1^18*y) - (g1^8*t^6.46)/y + t^7.15/(g1^6*y) + t^7.62/(g1^24*y) + (g1^2*t^7.62)/y + (g1^32*t^7.84)/y + (g1^6*t^7.85)/y + t^8.08/(g1^16*y) + (g1^10*t^8.08)/y + (2*t^8.31)/(g1^12*y) + (3*g1^14*t^8.31)/y - t^8.54/(g1^34*y) + t^8.54/(g1^8*y) + t^8.77/(g1^30*y) + (3*t^8.77)/(g1^4*y) + (2*g1^22*t^8.77)/y - (t^4.38*y)/g1^2 - (t^6.46*y)/g1^18 - g1^8*t^6.46*y + (t^7.15*y)/g1^6 + (t^7.62*y)/g1^24 + g1^2*t^7.62*y + g1^32*t^7.84*y + g1^6*t^7.85*y + (t^8.08*y)/g1^16 + g1^10*t^8.08*y + (2*t^8.31*y)/g1^12 + 3*g1^14*t^8.31*y - (t^8.54*y)/g1^34 + (t^8.54*y)/g1^8 + (t^8.77*y)/g1^30 + (3*t^8.77*y)/g1^4 + 2*g1^22*t^8.77*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 |
|---|---|---|---|---|---|---|---|---|
| 3448 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_4$ + $ \phi_1q_2^2$ + $ M_6\phi_1q_1\tilde{q}_1$ + $ M_6q_1\tilde{q}_2$ + $ M_5X_1$ | 0.5916 | 0.7322 | 0.808 | [X:[1.5], M:[0.75, 1.125, 1.0, 1.25, 0.5, 0.8125], q:[0.4688, 0.7812], qb:[0.2812, 0.7188], phi:[0.4375]] | t^2.25 + t^2.44 + 2*t^3. + t^3.19 + t^3.38 + t^3.56 + t^3.75 + t^4.12 + t^4.31 + 2*t^4.5 + 2*t^4.88 + t^5.25 + 2*t^5.44 + 3*t^5.62 + t^5.81 + t^6. - t^4.31/y - t^4.31*y | detail | {a: 9693/16384, c: 11997/16384, X1: 3/2, M1: 3/4, M2: 9/8, M3: 1, M4: 5/4, M5: 1/2, M6: 13/16, q1: 15/32, q2: 25/32, qb1: 9/32, qb2: 23/32, phi1: 7/16} |
| 3449 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_4$ + $ \phi_1q_2^2$ + $ M_6\phi_1q_1\tilde{q}_1$ + $ M_7q_1\tilde{q}_2$ + $ M_5X_1$ | 0.6553 | 0.8089 | 0.8101 | [X:[1.3383], M:[0.8309, 1.0846, 1.0, 1.1691, 0.6617, 0.7114, 1.0349], q:[0.398, 0.7711], qb:[0.4329, 0.5671], phi:[0.4577]] | t^2.13 + t^2.49 + t^3. + t^3.1 + t^3.25 + t^3.51 + t^3.61 + t^3.76 + t^3.97 + t^4.01 + 2*t^4.27 + t^4.37 + t^4.63 + t^4.78 + t^4.99 + t^5.13 + t^5.24 + t^5.39 + t^5.64 + 2*t^5.75 - t^6. - t^4.37/y - t^4.37*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1875 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_3^2$ + $ M_1M_4$ + $ \phi_1q_2^2$ | 0.6608 | 0.8195 | 0.8064 | [X:[], M:[0.8455, 1.0772, 1.0, 1.1545, 0.6911], q:[0.3852, 0.7693], qb:[0.4604, 0.5396], phi:[0.4614]] | t^2.07 + t^2.54 + t^2.77 + t^3. + t^3.23 + t^3.46 + t^3.69 + t^3.7 + t^3.92 + 2*t^4.15 + t^4.16 + t^4.38 + t^4.61 + t^4.62 + t^4.85 + 2*t^5.07 + t^5.3 + t^5.31 + t^5.54 + t^5.55 + 2*t^5.77 + t^5.99 - t^6. - t^4.38/y - t^4.38*y | detail |