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 |
|---|---|---|---|---|---|---|---|---|---|
| 3984 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_3M_6$ + $ M_5X_1$ + $ M_7\phi_1q_2^2$ + $ M_8\phi_1\tilde{q}_2^2$ | 0.6763 | 0.8474 | 0.7981 | [X:[1.3575], M:[1.0226, 1.095, 1.1675, 0.9774, 0.6425, 0.8325, 0.7601, 0.6698], q:[0.7738, 0.3937], qb:[0.5837, 0.4388], phi:[0.4525]] | [X:[[6]], M:[[-22], [-4], [14], [22], [-6], [-14], [-32], [56]], q:[[-1], [15]], qb:[[7], [-29]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_8$, $ M_7$, $ M_6$, $ M_4$, $ M_1$, $ M_2$, $ M_3$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_8^2$, $ X_1$, $ M_7M_8$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_6M_8$, $ M_7^2$, $ M_6M_7$, $ \phi_1\tilde{q}_1^2$, $ M_4M_8$, $ M_6^2$, $ M_1M_8$, $ M_4M_7$, $ M_2M_8$, $ M_1M_7$, $ M_3M_8$, $ M_1M_6$, $ M_2M_7$, $ M_8q_1\tilde{q}_2$, $ M_2M_6$, $ M_3M_7$, $ M_4^2$, $ M_8\phi_1q_2\tilde{q}_2$, $ M_7q_1\tilde{q}_2$ | . | -1 | t^2.01 + t^2.28 + t^2.5 + t^2.93 + t^3.07 + t^3.29 + t^3.5 + t^3.64 + t^3.86 + t^4.02 + t^4.07 + 2*t^4.29 + t^4.43 + t^4.51 + t^4.56 + t^4.78 + t^4.86 + t^4.94 + t^5. + t^5.08 + t^5.21 + t^5.29 + t^5.35 + t^5.51 + t^5.57 + t^5.65 + 2*t^5.78 + t^5.86 + t^5.92 - t^6. + t^6.03 + t^6.08 + 2*t^6.14 + 2*t^6.3 + 2*t^6.35 + t^6.43 + t^6.52 + 3*t^6.57 + 2*t^6.71 + t^6.79 + t^6.84 + t^6.87 + t^6.92 + t^6.95 + t^7. + t^7.06 + t^7.09 + 2*t^7.14 + t^7.22 + t^7.28 + t^7.3 + 2*t^7.36 + 2*t^7.49 + t^7.52 + 2*t^7.57 + t^7.63 + t^7.66 + t^7.71 + 2*t^7.79 + t^7.85 + t^7.87 + 2*t^7.93 - t^8.01 + t^8.04 + 2*t^8.06 + t^8.09 + 2*t^8.14 + t^8.2 - t^8.28 + 2*t^8.31 + 2*t^8.36 + 2*t^8.42 + t^8.44 - t^8.5 + t^8.53 + 3*t^8.58 + 2*t^8.63 + t^8.71 + t^8.8 + 3*t^8.85 + t^8.88 - t^8.93 + t^8.96 + 2*t^8.99 - t^4.36/y - t^6.37/y - t^6.64/y + t^7.29/y + t^7.51/y + t^7.78/y + t^7.94/y + (2*t^8.08)/y + t^8.21/y + t^8.29/y + (2*t^8.35)/y - t^8.38/y + t^8.43/y + t^8.51/y + (2*t^8.57)/y + (2*t^8.78)/y + t^8.86/y - t^4.36*y - t^6.37*y - t^6.64*y + t^7.29*y + t^7.51*y + t^7.78*y + t^7.94*y + 2*t^8.08*y + t^8.21*y + t^8.29*y + 2*t^8.35*y - t^8.38*y + t^8.43*y + t^8.51*y + 2*t^8.57*y + 2*t^8.78*y + t^8.86*y | g1^56*t^2.01 + t^2.28/g1^32 + t^2.5/g1^14 + g1^22*t^2.93 + t^3.07/g1^22 + t^3.29/g1^4 + g1^14*t^3.5 + t^3.64/g1^30 + t^3.86/g1^12 + g1^112*t^4.02 + g1^6*t^4.07 + 2*g1^24*t^4.29 + t^4.43/g1^20 + g1^42*t^4.51 + t^4.56/g1^64 + t^4.78/g1^46 + g1^16*t^4.86 + g1^78*t^4.94 + t^5./g1^28 + g1^34*t^5.08 + t^5.21/g1^10 + g1^52*t^5.29 + t^5.35/g1^54 + g1^70*t^5.51 + t^5.57/g1^36 + g1^26*t^5.65 + (2*t^5.78)/g1^18 + g1^44*t^5.86 + t^5.92/g1^62 - t^6. + g1^168*t^6.03 + g1^62*t^6.08 + (2*t^6.14)/g1^44 + 2*g1^80*t^6.3 + (2*t^6.35)/g1^26 + g1^36*t^6.43 + g1^98*t^6.52 + (3*t^6.57)/g1^8 + (2*t^6.71)/g1^52 + g1^10*t^6.79 + t^6.84/g1^96 + g1^72*t^6.87 + t^6.92/g1^34 + g1^134*t^6.95 + g1^28*t^7. + t^7.06/g1^78 + g1^90*t^7.09 + (2*t^7.14)/g1^16 + g1^46*t^7.22 + t^7.28/g1^60 + g1^108*t^7.3 + 2*g1^2*t^7.36 + (2*t^7.49)/g1^42 + g1^126*t^7.52 + 2*g1^20*t^7.57 + t^7.63/g1^86 + g1^82*t^7.66 + t^7.71/g1^24 + 2*g1^38*t^7.79 + t^7.85/g1^68 + g1^100*t^7.87 + (2*t^7.93)/g1^6 - g1^56*t^8.01 + g1^224*t^8.04 + (2*t^8.06)/g1^50 + g1^118*t^8.09 + 2*g1^12*t^8.14 + t^8.2/g1^94 - t^8.28/g1^32 + 2*g1^136*t^8.31 + 2*g1^30*t^8.36 + (2*t^8.42)/g1^76 + g1^92*t^8.44 - t^8.5/g1^14 + g1^154*t^8.53 + 3*g1^48*t^8.58 + (2*t^8.63)/g1^58 + g1^4*t^8.71 + g1^66*t^8.8 + (3*t^8.85)/g1^40 + g1^128*t^8.88 - g1^22*t^8.93 + g1^190*t^8.96 + (2*t^8.99)/g1^84 - (g1^2*t^4.36)/y - (g1^58*t^6.37)/y - t^6.64/(g1^30*y) + (g1^24*t^7.29)/y + (g1^42*t^7.51)/y + t^7.78/(g1^46*y) + (g1^78*t^7.94)/y + (2*g1^34*t^8.08)/y + t^8.21/(g1^10*y) + (g1^52*t^8.29)/y + (2*t^8.35)/(g1^54*y) - (g1^114*t^8.38)/y + (g1^8*t^8.43)/y + (g1^70*t^8.51)/y + (2*t^8.57)/(g1^36*y) + (2*t^8.78)/(g1^18*y) + (g1^44*t^8.86)/y - g1^2*t^4.36*y - g1^58*t^6.37*y - (t^6.64*y)/g1^30 + g1^24*t^7.29*y + g1^42*t^7.51*y + (t^7.78*y)/g1^46 + g1^78*t^7.94*y + 2*g1^34*t^8.08*y + (t^8.21*y)/g1^10 + g1^52*t^8.29*y + (2*t^8.35*y)/g1^54 - g1^114*t^8.38*y + g1^8*t^8.43*y + g1^70*t^8.51*y + (2*t^8.57*y)/g1^36 + (2*t^8.78*y)/g1^18 + g1^44*t^8.86*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 |
|---|---|---|---|---|---|---|---|---|
| 5532 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_3M_6$ + $ M_5X_1$ + $ M_7\phi_1q_2^2$ + $ M_8\phi_1\tilde{q}_2^2$ + $ M_3M_8$ | 0.6651 | 0.8347 | 0.7968 | [X:[1.3714], M:[0.9714, 1.0857, 1.2, 1.0286, 0.6286, 0.8, 0.6857, 0.8], q:[0.7714, 0.4286], qb:[0.6, 0.3714], phi:[0.4571]] | t^2.06 + 2*t^2.4 + t^2.91 + t^3.09 + t^3.26 + t^3.43 + t^3.6 + t^3.77 + 2*t^4.11 + t^4.29 + 3*t^4.46 + 3*t^4.8 + 2*t^4.97 + t^5.14 + 2*t^5.31 + 2*t^5.49 + 3*t^5.66 + 3*t^5.83 - t^4.37/y - t^4.37*y | detail | {a: 456231/686000, c: 286303/343000, X1: 48/35, M1: 34/35, M2: 38/35, M3: 6/5, M4: 36/35, M5: 22/35, M6: 4/5, M7: 24/35, M8: 4/5, q1: 27/35, q2: 3/7, qb1: 3/5, qb2: 13/35, phi1: 16/35} |
| 5518 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_3M_6$ + $ M_5X_1$ + $ M_7\phi_1q_2^2$ + $ M_8\phi_1\tilde{q}_2^2$ + $ M_8^2$ + $ M_7X_2$ | 0.5895 | 0.7301 | 0.8074 | [X:[1.3929, 1.4286], M:[0.8929, 1.0714, 1.25, 1.1071, 0.6071, 0.75, 0.5714, 1.0], q:[0.7679, 0.4821], qb:[0.625, 0.2679], phi:[0.4643]] | t^2.25 + t^2.68 + t^3. + t^3.11 + t^3.21 + t^3.32 + t^3.64 + t^3.75 + t^4.07 + t^4.18 + t^4.29 + t^4.5 + t^4.71 + t^5.14 + t^5.25 + t^5.36 + t^5.46 + t^5.68 + t^5.79 + t^5.89 - t^4.39/y - t^4.39*y | detail | {a: 8451/14336, c: 10467/14336, X1: 39/28, X2: 10/7, M1: 25/28, M2: 15/14, M3: 5/4, M4: 31/28, M5: 17/28, M6: 3/4, M7: 4/7, M8: 1, q1: 43/56, q2: 27/56, qb1: 5/8, qb2: 15/56, phi1: 13/28} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1596 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_3M_6$ + $ M_5X_1$ + $ M_7\phi_1q_2^2$ | 0.6555 | 0.806 | 0.8132 | [X:[1.3577], M:[1.0217, 1.0949, 1.168, 0.9783, 0.6423, 0.832, 0.7588], q:[0.7737, 0.3943], qb:[0.584, 0.4377], phi:[0.4526]] | t^2.28 + t^2.5 + t^2.93 + t^3.07 + t^3.28 + t^3.5 + t^3.63 + t^3.85 + t^3.98 + t^4.07 + t^4.29 + t^4.42 + t^4.55 + t^4.77 + t^4.86 + t^4.99 + t^5.21 + t^5.34 + t^5.56 + 2*t^5.78 + t^5.91 - t^6. - t^4.36/y - t^4.36*y | detail |