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 |
|---|---|---|---|---|---|---|---|---|---|
| 241 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ | 0.5614 | 0.6887 | 0.8152 | [X:[1.4324], M:[0.9382, 0.5676, 1.0618], q:[0.7963, 0.7963], qb:[0.2654, 0.5125], phi:[0.4073]] | [X:[[28]], M:[[-4], [-28], [4]], q:[[3], [3]], qb:[[1], [17]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\tilde{q}_1\tilde{q}_2$, $ \phi_1^2$, $ M_1$, $ M_3$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ X_1$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ q_1q_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \phi_1^4$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1^2\tilde{q}_2$, $ M_1^2$, $ M_3\phi_1^2$, $ \phi_1\tilde{q}_1^2\tilde{q}_2^2$ | $M_1q_2\tilde{q}_1$, $ \phi_1^3\tilde{q}_1\tilde{q}_2$ | 0 | t^2.33 + t^2.44 + t^2.81 + 2*t^3.19 + t^3.56 + 2*t^3.93 + t^4.3 + t^4.67 + 2*t^4.78 + t^4.89 + t^5.15 + 2*t^5.52 + t^5.63 + t^5.89 + 2*t^6.26 + 3*t^6.37 - t^6.48 + t^6.63 + 2*t^6.74 - 2*t^6.85 + t^7. + 5*t^7.11 + t^7.33 + 3*t^7.48 - 2*t^7.59 + 5*t^7.85 + 3*t^8.22 - t^8.33 - 2*t^8.44 + 3*t^8.59 + 3*t^8.7 - 2*t^8.81 + t^8.97 - t^4.22/y - t^6.67/y + (2*t^7.78)/y + t^8.15/y + t^8.26/y + (2*t^8.52)/y + (2*t^8.63)/y + t^8.89/y - t^4.22*y - t^6.67*y + 2*t^7.78*y + t^8.15*y + t^8.26*y + 2*t^8.52*y + 2*t^8.63*y + t^8.89*y | g1^18*t^2.33 + t^2.44/g1^12 + t^2.81/g1^4 + 2*g1^4*t^3.19 + g1^12*t^3.56 + 2*g1^20*t^3.93 + g1^28*t^4.3 + g1^36*t^4.67 + 2*g1^6*t^4.78 + t^4.89/g1^24 + g1^14*t^5.15 + 2*g1^22*t^5.52 + t^5.63/g1^8 + g1^30*t^5.89 + 2*g1^38*t^6.26 + 3*g1^8*t^6.37 - t^6.48/g1^22 + g1^46*t^6.63 + 2*g1^16*t^6.74 - (2*t^6.85)/g1^14 + g1^54*t^7. + 5*g1^24*t^7.11 + t^7.33/g1^36 + 3*g1^32*t^7.48 - 2*g1^2*t^7.59 + 5*g1^40*t^7.85 + 3*g1^48*t^8.22 - g1^18*t^8.33 - (2*t^8.44)/g1^12 + 3*g1^56*t^8.59 + 3*g1^26*t^8.7 - (2*t^8.81)/g1^4 + g1^64*t^8.97 - t^4.22/(g1^6*y) - t^6.67/(g1^18*y) + (2*g1^6*t^7.78)/y + (g1^14*t^8.15)/y + t^8.26/(g1^16*y) + (2*g1^22*t^8.52)/y + (2*t^8.63)/(g1^8*y) + (g1^30*t^8.89)/y - (t^4.22*y)/g1^6 - (t^6.67*y)/g1^18 + 2*g1^6*t^7.78*y + g1^14*t^8.15*y + (t^8.26*y)/g1^16 + 2*g1^22*t^8.52*y + (2*t^8.63*y)/g1^8 + g1^30*t^8.89*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 |
|---|---|---|---|---|---|---|---|---|
| 385 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ M_3M_4$ | 0.5673 | 0.6974 | 0.8134 | [X:[1.4495], M:[0.9358, 0.5505, 1.0642, 0.9358], q:[0.7982, 0.7982], qb:[0.2661, 0.5229], phi:[0.4037]] | t^2.37 + t^2.42 + 2*t^2.81 + t^3.19 + t^3.58 + 2*t^3.96 + t^4.35 + t^4.73 + 2*t^4.79 + t^4.84 + 2*t^5.17 + t^5.23 + t^5.56 + 2*t^5.61 + t^5.94 - t^4.21/y - t^4.21*y | detail | |
| 384 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ | 0.5466 | 0.6602 | 0.8279 | [X:[1.6364], M:[0.9091, 0.3636, 1.0909], q:[0.8182, 0.8182], qb:[0.2727, 0.6364], phi:[0.3636]] | t^2.18 + 2*t^2.73 + 2*t^3.27 + t^3.82 + 3*t^4.36 + 3*t^4.91 + 3*t^5.45 + t^6. - t^4.09/y - t^4.09*y | detail | {a: 1455/2662, c: 3515/5324, X1: 18/11, M1: 10/11, M2: 4/11, M3: 12/11, q1: 9/11, q2: 9/11, qb1: 3/11, qb2: 7/11, phi1: 4/11} |
| 388 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ \phi_1\tilde{q}_1^2\tilde{q}_2^2$ | 0.561 | 0.686 | 0.8178 | [X:[1.4667], M:[0.9333, 0.5333, 1.0667], q:[0.8, 0.8], qb:[0.2667, 0.5333], phi:[0.4]] | 2*t^2.4 + t^2.8 + 2*t^3.2 + t^3.6 + 2*t^4. + t^4.4 + 4*t^4.8 + t^5.2 + 3*t^5.6 + t^6. - t^4.2/y - t^4.2*y | detail | {a: 561/1000, c: 343/500, X1: 22/15, M1: 14/15, M2: 8/15, M3: 16/15, q1: 4/5, q2: 4/5, qb1: 4/15, qb2: 8/15, phi1: 2/5} |
| 381 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ \tilde{q}_1^2\tilde{q}_2^2$ + $ \phi_1^2X_2$ | 0.5 | 0.5833 | 0.8571 | [X:[1.7778, 1.3333], M:[0.8889, 0.2222, 1.1111], q:[0.8333, 0.8333], qb:[0.2778, 0.7222], phi:[0.3333]] | t^2.67 + t^3. + 2*t^3.33 + 2*t^4. + t^4.67 + t^5. - t^4./y - t^4.*y | detail | {a: 1/2, c: 7/12, X1: 16/9, X2: 4/3, M1: 8/9, M2: 2/9, M3: 10/9, q1: 5/6, q2: 5/6, qb1: 5/18, qb2: 13/18, phi1: 1/3} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 151 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1q_2^2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ | 0.6689 | 0.8347 | 0.8014 | [X:[], M:[0.6964, 0.7027, 0.6943], q:[0.8254, 0.8254], qb:[0.4782, 0.4741], phi:[0.3492]] | t^2.08 + t^2.09 + t^2.1 + t^2.11 + t^2.86 + 3*t^3.9 + t^3.91 + 2*t^4.17 + 3*t^4.18 + 2*t^4.19 + 2*t^4.2 + t^4.22 + t^4.94 + 3*t^4.95 + t^4.96 + t^5.71 + 2*t^5.98 + 4*t^5.99 - t^6. - t^4.05/y - t^4.05*y | detail |