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 |
---|---|---|---|---|---|---|---|---|---|
46075 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_2\phi_1q_2^2$ + $ M_1M_2$ | 0.5614 | 0.6887 | 0.8152 | [X:[], M:[1.0618, 0.9382], q:[0.611, 0.3272], qb:[0.4508, 0.9817], phi:[0.4073]] | [X:[], M:[[4], [-4]], q:[[-9], [5]], qb:[[13], [15]], phi:[[-6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$q_2\tilde{q}_1$, $ \phi_1^2$, $ M_2$, $ M_1$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1^2$, $ \phi_1^2q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1^4$, $ M_2q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ M_1\phi_1^2$, $ \phi_1^3q_2^2$, $ \phi_1q_2^2\tilde{q}_1^2$ | $\phi_1^3q_2\tilde{q}_1$ | 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 |
---|---|---|---|---|---|---|---|---|
46155 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_2\phi_1q_2^2$ + $ M_1M_2$ + $ M_1M_3$ | 0.5673 | 0.6974 | 0.8134 | [X:[], M:[1.0642, 0.9358, 0.9358], q:[0.6055, 0.3303], qb:[0.4587, 0.9908], 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 | |
46108 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_2\phi_1q_2^2$ + $ M_1M_2$ + $ M_2q_2\tilde{q}_1$ + $ \phi_1^2X_1$ | 0.4422 | 0.5047 | 0.8762 | [X:[1.4286], M:[1.1429, 0.8571], q:[0.4286, 0.4286], qb:[0.7143, 1.2857], phi:[0.2857]] | t^2.57 + 3*t^3.43 + t^4.29 + t^5.14 - t^6. - t^3.86/y - t^3.86*y | detail | {a: 2427/5488, c: 1385/2744, X1: 10/7, M1: 8/7, M2: 6/7, q1: 3/7, q2: 3/7, qb1: 5/7, qb2: 9/7, phi1: 2/7} |
46112 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_2\phi_1q_2^2$ + $ M_1M_2$ + $ M_3q_2\tilde{q}_2$ | 0.5822 | 0.7285 | 0.7991 | [X:[], M:[1.0631, 0.9369, 0.6846], q:[0.608, 0.3289], qb:[0.455, 0.9866], phi:[0.4054]] | t^2.05 + t^2.35 + t^2.43 + t^2.81 + 2*t^3.19 + t^3.57 + t^3.95 + t^4.11 + t^4.32 + t^4.41 + t^4.49 + t^4.7 + 2*t^4.78 + 2*t^4.86 + t^5.16 + 2*t^5.24 + 2*t^5.54 + 2*t^5.62 + t^5.92 + t^6. - t^4.22/y - t^4.22*y | detail | |
46280 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_2\phi_1q_2^2$ + $ M_1M_2$ + $ \phi_1q_2^2\tilde{q}_1^2$ | 0.561 | 0.686 | 0.8178 | [X:[], M:[1.0667, 0.9333], q:[0.6, 0.3333], qb:[0.4667, 1.0], 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, M1: 16/15, M2: 14/15, q1: 3/5, q2: 1/3, qb1: 7/15, qb2: 1, phi1: 2/5} |
46088 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_2\phi_1q_2^2$ + $ M_1M_2$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ | 0.5466 | 0.6602 | 0.8279 | [X:[], M:[1.0909, 0.9091], q:[0.5455, 0.3636], qb:[0.5455, 1.0909], 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, M1: 12/11, M2: 10/11, q1: 6/11, q2: 4/11, qb1: 6/11, qb2: 12/11, phi1: 4/11} |
46107 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_2\phi_1q_2^2$ + $ M_1M_2$ + $ \phi_1\tilde{q}_1^2$ + $ \phi_1^2X_1$ | 0.3165 | 0.3415 | 0.9268 | [X:[1.6], M:[1.2, 0.8], q:[0.3, 0.5], qb:[0.9, 1.5], phi:[0.2]] | t^2.4 + t^3.6 + t^4.8 - t^3.6/y - t^3.6*y | detail | {a: 633/2000, c: 683/2000, X1: 8/5, M1: 6/5, M2: 4/5, q1: 3/10, q2: 1/2, qb1: 9/10, qb2: 3/2, phi1: 1/5} |
46328 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_2\phi_1q_2^2$ + $ M_1M_2$ + $ q_2^2\tilde{q}_1^2$ + $ \phi_1^2X_1$ | 0.5 | 0.5833 | 0.8571 | [X:[1.3333], M:[1.1111, 0.8889], q:[0.5, 0.3889], qb:[0.6111, 1.1667], 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: 4/3, M1: 10/9, M2: 8/9, q1: 1/2, q2: 7/18, qb1: 11/18, qb2: 7/6, 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 |
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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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
45884 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_2\phi_1q_2^2$ | 0.6486 | 0.7977 | 0.8132 | [X:[], M:[0.6859, 0.6962], q:[0.8388, 0.4753], qb:[0.4649, 0.8079], phi:[0.3533]] | t^2.06 + t^2.09 + t^2.12 + t^2.82 + t^3.82 + 2*t^3.85 + t^3.88 + t^3.91 + t^4.12 + t^4.15 + 2*t^4.18 + t^4.21 + t^4.24 + t^4.88 + t^4.91 + 2*t^4.94 + t^5.64 + t^5.88 + 3*t^5.91 + 3*t^5.94 + 2*t^5.97 - t^6. - t^4.06/y - t^4.06*y | detail |