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 |
|---|---|---|---|---|---|---|---|---|---|
| 51892 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1q_2^2$ + $ M_5^2$ + $ M_6q_2\tilde{q}_1$ | 0.6104 | 0.7697 | 0.793 | [X:[], M:[1.2253, 0.676, 0.7747, 0.9578, 1.0, 0.8591], q:[0.4789, 0.2958], qb:[0.8451, 0.7464], phi:[0.4084]] | [X:[], M:[[6], [18], [-6], [-10], [0], [14]], q:[[-5], [-1]], qb:[[-13], [11]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_3$, $ \phi_1^2$, $ M_6$, $ M_4$, $ M_5$, $ \phi_1q_1q_2$, $ M_1$, $ M_2^2$, $ \phi_1q_1^2$, $ M_2M_3$, $ \phi_1q_2\tilde{q}_2$, $ M_2\phi_1^2$, $ M_2M_6$, $ M_3^2$, $ \phi_1q_2\tilde{q}_1$, $ M_3\phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_2M_4$, $ M_3M_6$, $ \phi_1^4$, $ \phi_1q_1\tilde{q}_2$, $ M_2M_5$, $ M_6\phi_1^2$, $ M_6^2$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_1$, $ M_3M_5$, $ M_4\phi_1^2$, $ M_4M_6$, $ M_5\phi_1^2$, $ M_5M_6$, $ M_1M_2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_4M_5$ | $\phi_1^3q_1q_2$ | 0 | t^2.03 + t^2.32 + t^2.45 + t^2.58 + t^2.87 + t^3. + t^3.55 + t^3.68 + t^4.06 + t^4.1 + t^4.35 + t^4.48 + t^4.61 + t^4.65 + 2*t^4.77 + 3*t^4.9 + 2*t^5.03 + t^5.15 + t^5.2 + 2*t^5.32 + t^5.45 + t^5.58 + t^5.7 + t^5.75 + t^5.87 + t^6.08 + 2*t^6.13 + t^6.25 + t^6.38 + t^6.42 + t^6.51 + t^6.55 + t^6.63 + t^6.68 + t^6.8 + 3*t^6.93 + t^6.97 + 2*t^7.06 + t^7.18 + 2*t^7.23 + 5*t^7.35 + 3*t^7.48 + 2*t^7.61 + 2*t^7.65 + 2*t^7.73 + 3*t^7.77 + t^7.9 + t^8.07 + t^8.11 + 2*t^8.15 + 2*t^8.2 + t^8.28 - t^8.32 + t^8.41 + t^8.53 + t^8.62 + t^8.66 + 2*t^8.7 + 2*t^8.83 - 2*t^8.87 + 3*t^8.96 - t^4.23/y - t^6.25/y - t^6.68/y - t^6.8/y - t^7.1/y + (2*t^7.35)/y + t^7.48/y + t^7.61/y + t^7.65/y + (2*t^7.77)/y + (2*t^7.9)/y + (2*t^8.03)/y + (2*t^8.2)/y - t^8.28/y + (2*t^8.32)/y + (2*t^8.45)/y + (2*t^8.58)/y - t^8.83/y + (2*t^8.87)/y - t^4.23*y - t^6.25*y - t^6.68*y - t^6.8*y - t^7.1*y + 2*t^7.35*y + t^7.48*y + t^7.61*y + t^7.65*y + 2*t^7.77*y + 2*t^7.9*y + 2*t^8.03*y + 2*t^8.2*y - t^8.28*y + 2*t^8.32*y + 2*t^8.45*y + 2*t^8.58*y - t^8.83*y + 2*t^8.87*y | g1^18*t^2.03 + t^2.32/g1^6 + g1^4*t^2.45 + g1^14*t^2.58 + t^2.87/g1^10 + t^3. + t^3.55/g1^4 + g1^6*t^3.68 + g1^36*t^4.06 + t^4.1/g1^8 + g1^12*t^4.35 + g1^22*t^4.48 + g1^32*t^4.61 + t^4.65/g1^12 + (2*t^4.77)/g1^2 + 3*g1^8*t^4.9 + 2*g1^18*t^5.03 + g1^28*t^5.15 + t^5.2/g1^16 + (2*t^5.32)/g1^6 + g1^4*t^5.45 + g1^14*t^5.58 + g1^24*t^5.7 + t^5.75/g1^20 + t^5.87/g1^10 + g1^54*t^6.08 + 2*g1^10*t^6.13 + g1^20*t^6.25 + g1^30*t^6.38 + t^6.42/g1^14 + g1^40*t^6.51 + t^6.55/g1^4 + g1^50*t^6.63 + g1^6*t^6.68 + g1^16*t^6.8 + 3*g1^26*t^6.93 + t^6.97/g1^18 + 2*g1^36*t^7.06 + g1^46*t^7.18 + 2*g1^2*t^7.23 + 5*g1^12*t^7.35 + 3*g1^22*t^7.48 + 2*g1^32*t^7.61 + (2*t^7.65)/g1^12 + 2*g1^42*t^7.73 + (3*t^7.77)/g1^2 + g1^8*t^7.9 + t^8.07/g1^26 + g1^72*t^8.11 + 2*g1^28*t^8.15 + (2*t^8.2)/g1^16 + g1^38*t^8.28 - t^8.32/g1^6 + g1^48*t^8.41 + g1^58*t^8.53 + t^8.62/g1^30 + g1^68*t^8.66 + 2*g1^24*t^8.7 + 2*g1^34*t^8.83 - (2*t^8.87)/g1^10 + 3*g1^44*t^8.96 - (g1^2*t^4.23)/y - (g1^20*t^6.25)/y - (g1^6*t^6.68)/y - (g1^16*t^6.8)/y - t^7.1/(g1^8*y) + (2*g1^12*t^7.35)/y + (g1^22*t^7.48)/y + (g1^32*t^7.61)/y + t^7.65/(g1^12*y) + (2*t^7.77)/(g1^2*y) + (2*g1^8*t^7.9)/y + (2*g1^18*t^8.03)/y + (2*t^8.2)/(g1^16*y) - (g1^38*t^8.28)/y + (2*t^8.32)/(g1^6*y) + (2*g1^4*t^8.45)/y + (2*g1^14*t^8.58)/y - (g1^34*t^8.83)/y + (2*t^8.87)/(g1^10*y) - g1^2*t^4.23*y - g1^20*t^6.25*y - g1^6*t^6.68*y - g1^16*t^6.8*y - (t^7.1*y)/g1^8 + 2*g1^12*t^7.35*y + g1^22*t^7.48*y + g1^32*t^7.61*y + (t^7.65*y)/g1^12 + (2*t^7.77*y)/g1^2 + 2*g1^8*t^7.9*y + 2*g1^18*t^8.03*y + (2*t^8.2*y)/g1^16 - g1^38*t^8.28*y + (2*t^8.32*y)/g1^6 + 2*g1^4*t^8.45*y + 2*g1^14*t^8.58*y - g1^34*t^8.83*y + (2*t^8.87*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 56369 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1q_2^2$ + $ M_5^2$ + $ M_6q_2\tilde{q}_1$ + $ M_1M_2$ | 0.6064 | 0.7627 | 0.7951 | [X:[], M:[1.25, 0.75, 0.75, 0.9167, 1.0, 0.9167], q:[0.4583, 0.2917], qb:[0.7917, 0.7917], phi:[0.4167]] | 2*t^2.25 + t^2.5 + 2*t^2.75 + t^3. + t^3.5 + t^3.75 + t^4. + 3*t^4.5 + 3*t^4.75 + 5*t^5. + 4*t^5.25 + 3*t^5.5 + 2*t^5.75 + t^6. - t^4.25/y - t^4.25*y | detail | {a: 621/1024, c: 781/1024, M1: 5/4, M2: 3/4, M3: 3/4, M4: 11/12, M5: 1, M6: 11/12, q1: 11/24, q2: 7/24, qb1: 19/24, qb2: 19/24, phi1: 5/12} |
| 56371 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1q_2^2$ + $ M_5^2$ + $ M_6q_2\tilde{q}_1$ + $ M_1M_7$ | 0.6284 | 0.8016 | 0.7839 | [X:[], M:[1.229, 0.6871, 0.771, 0.9516, 1.0, 0.8678, 0.771], q:[0.4758, 0.2952], qb:[0.8371, 0.7533], phi:[0.4097]] | t^2.06 + 2*t^2.31 + t^2.46 + t^2.6 + t^2.85 + t^3. + t^3.54 + t^4.08 + t^4.12 + 2*t^4.37 + t^4.52 + 3*t^4.63 + t^4.66 + 3*t^4.77 + 4*t^4.92 + 2*t^5.06 + 2*t^5.17 + t^5.21 + 3*t^5.31 + t^5.46 + t^5.6 + t^5.71 + 2*t^5.85 - t^6. - t^4.23/y - t^4.23*y | detail | |
| 56354 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1q_2^2$ + $ M_5^2$ + $ M_6q_2\tilde{q}_1$ + $ M_2M_6$ | 0.5645 | 0.7129 | 0.7918 | [X:[], M:[1.3125, 0.9375, 0.6875, 0.8125, 1.0, 1.0625], q:[0.4062, 0.2812], qb:[0.6562, 0.9062], phi:[0.4375]] | t^2.06 + t^2.44 + t^2.62 + t^2.81 + t^3. + t^3.19 + t^3.38 + t^3.75 + t^3.94 + t^4.12 + t^4.5 + 2*t^4.69 + 2*t^4.88 + 2*t^5.06 + 3*t^5.25 + 2*t^5.44 + 2*t^5.62 + 3*t^5.81 + t^6. - t^4.31/y - t^4.31*y | detail | {a: 36993/65536, c: 46721/65536, M1: 21/16, M2: 15/16, M3: 11/16, M4: 13/16, M5: 1, M6: 17/16, q1: 13/32, q2: 9/32, qb1: 21/32, qb2: 29/32, phi1: 7/16} |
| 56370 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1q_2^2$ + $ M_5^2$ + $ M_6q_2\tilde{q}_1$ + $ M_7\phi_1q_1q_2$ + $ M_2X_1$ | 0.6051 | 0.7555 | 0.8009 | [X:[1.3339], M:[1.222, 0.6661, 0.778, 0.9633, 1.0, 0.8514, 0.8147], q:[0.4816, 0.2963], qb:[0.8522, 0.7404], phi:[0.4073]] | t^2.33 + 2*t^2.44 + t^2.55 + t^2.89 + t^3. + t^3.67 + t^4. + t^4.11 + t^4.67 + 3*t^4.78 + 4*t^4.89 + 2*t^5. + t^5.11 + t^5.22 + 3*t^5.33 + 2*t^5.44 + t^5.78 - t^6. - t^4.22/y - t^4.22*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 |
|---|---|---|---|---|---|---|---|---|---|
| 48270 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1q_2^2$ + $ M_5^2$ | 0.5993 | 0.7502 | 0.7989 | [X:[], M:[1.2404, 0.7213, 0.7596, 0.9326, 1.0], q:[0.4663, 0.2933], qb:[0.8124, 0.7741], phi:[0.4135]] | t^2.16 + t^2.28 + t^2.48 + t^2.8 + t^3. + t^3.32 + t^3.52 + t^3.72 + t^4.04 + t^4.33 + t^4.44 + t^4.56 + t^4.64 + 2*t^4.76 + 2*t^4.96 + t^5.08 + t^5.16 + 2*t^5.28 + t^5.48 + 2*t^5.6 + 2*t^5.8 + t^5.89 - t^4.24/y - t^4.24*y | detail |