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 |
---|---|---|---|---|---|---|---|---|---|
39 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ | 0.6076 | 0.7195 | 0.8446 | [q:[0.8211, 0.8211], qb:[0.4632, 0.4632], phi:[0.3578]] | [q:[[-1, 1, 1], [1, 0, 0]], qb:[[0, 3, 0], [0, 0, 3]], phi:[[0, -1, -1]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{4}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$ | -2 | t^2.147 + t^2.779 + 7*t^3.853 + t^4.294 + 2*t^4.926 + t^5.559 - 2*t^6. + t^6.441 + 7*t^6.632 - 6*t^7.074 + 21*t^7.706 - t^8.147 + t^8.338 + t^8.588 - 3*t^8.779 - t^4.074/y - t^6.221/y + (2*t^7.926)/y - t^8.368/y - t^4.074*y - t^6.221*y + 2*t^7.926*y - t^8.368*y | t^2.147/(g2^2*g3^2) + g2^3*g3^3*t^2.779 + g1*g2^3*t^3.853 + (g2^5*t^3.853)/g3 + (g2^4*g3*t^3.853)/g1 + g2^2*g3^2*t^3.853 + g1*g3^3*t^3.853 + (g2*g3^4*t^3.853)/g1 + (g3^5*t^3.853)/g2 + t^4.294/(g2^4*g3^4) + 2*g2*g3*t^4.926 + g2^6*g3^6*t^5.559 - 2*t^6. + t^6.441/(g2^6*g3^6) + g2^8*g3^2*t^6.632 + g1*g2^6*g3^3*t^6.632 + (g2^7*g3^4*t^6.632)/g1 + g2^5*g3^5*t^6.632 + g1*g2^3*g3^6*t^6.632 + (g2^4*g3^7*t^6.632)/g1 + g2^2*g3^8*t^6.632 - (g1*t^7.074)/g2^3 - (g2^2*t^7.074)/g3^4 - (g1*t^7.074)/g3^3 - (g2*t^7.074)/(g1*g3^2) - (g3*t^7.074)/(g1*g2^2) - (g3^2*t^7.074)/g2^4 + g1^2*g2^6*t^7.706 + (g2^9*t^7.706)/g1 + (g2^10*t^7.706)/g3^2 + (g1*g2^8*t^7.706)/g3 + g2^7*g3*t^7.706 + g1*g2^5*g3^2*t^7.706 + (g2^8*g3^2*t^7.706)/g1^2 + g1^2*g2^3*g3^3*t^7.706 + (g2^6*g3^3*t^7.706)/g1 + 3*g2^4*g3^4*t^7.706 + g1*g2^2*g3^5*t^7.706 + (g2^5*g3^5*t^7.706)/g1^2 + g1^2*g3^6*t^7.706 + (g2^3*g3^6*t^7.706)/g1 + g2*g3^7*t^7.706 + (g1*g3^8*t^7.706)/g2 + (g2^2*g3^8*t^7.706)/g1^2 + (g3^9*t^7.706)/g1 + (g3^10*t^7.706)/g2^2 - t^8.147/(g2^2*g3^2) + g2^9*g3^9*t^8.338 + t^8.588/(g2^8*g3^8) - 3*g2^3*g3^3*t^8.779 - t^4.074/(g2*g3*y) - t^6.221/(g2^3*g3^3*y) + (2*g2*g3*t^7.926)/y - t^8.368/(g2^5*g3^5*y) - (t^4.074*y)/(g2*g3) - (t^6.221*y)/(g2^3*g3^3) + 2*g2*g3*t^7.926*y - (t^8.368*y)/(g2^5*g3^5) |
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 |
---|---|---|---|---|---|---|---|---|
50 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6279 | 0.7568 | 0.8297 | [M:[0.7082], q:[0.823, 0.823], qb:[0.4689, 0.4689], phi:[0.3541]] | 2*t^2.125 + t^2.813 + 6*t^3.875 + 3*t^4.249 + 3*t^4.938 + t^5.626 + 3*t^6. - t^4.062/y - t^4.062*y | detail | |
45833 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6281 | 0.7582 | 0.8284 | [M:[0.6941], q:[0.8224, 0.8224], qb:[0.4753, 0.4589], phi:[0.3553]] | t^2.082 + t^2.132 + t^2.803 + t^3.819 + 2*t^3.844 + t^3.868 + 2*t^3.893 + t^4.165 + t^4.214 + t^4.263 + t^4.885 + 2*t^4.934 + t^5.605 + t^5.901 + 2*t^5.926 + t^5.951 + 2*t^5.975 - 2*t^6. - t^4.066/y - t^4.066*y | detail | |
51 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}^{2}$ | 0.5876 | 0.6839 | 0.8592 | [M:[1.274], q:[0.8185, 0.8185], qb:[0.4555, 0.4555], phi:[0.363]] | t^2.733 + 8*t^3.822 + t^4.911 + t^5.466 - 9*t^6. - t^4.089/y - t^4.089*y | detail | |
49 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ | 0.6281 | 0.7582 | 0.8284 | [M:[0.6941], q:[0.8347, 0.81], qb:[0.4712, 0.463], phi:[0.3553]] | t^2.082 + t^2.132 + t^2.803 + t^3.819 + 2*t^3.844 + t^3.868 + 2*t^3.893 + t^4.165 + t^4.214 + t^4.263 + t^4.885 + 2*t^4.934 + t^5.605 + t^5.901 + 2*t^5.926 + t^5.951 + 2*t^5.975 - 2*t^6. - t^4.066/y - t^4.066*y | detail | |
45837 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 0.5833 | 0.6667 | 0.875 | [X:[1.3333], M:[1.0], q:[0.8333, 0.8333], qb:[0.5, 0.5], phi:[0.3333]] | t^3. + 8*t^4. + t^5. - 8*t^6. - t^4./y - t^4.*y | detail | {a: 7/12, c: 2/3, X1: 4/3, M1: 1, q1: 5/6, q2: 5/6, qb1: 1/2, qb2: 1/2, phi1: 1/3} |
45836 | ${}\phi_{1}q_{1}q_{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 0.4527 | 0.4986 | 0.9078 | [X:[1.5042], q:[0.8761, 0.8761], qb:[0.8761, 0.3803], phi:[0.2479]] | t^3.025 + 3*t^3.769 + t^4.513 - 4*t^6. - t^3.744/y - t^3.744*y | detail | |
48 | ${}\phi_{1}q_{1}q_{2}$ + ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 0.5833 | 0.6667 | 0.875 | [X:[1.3333], q:[0.8333, 0.8333], qb:[0.5, 0.5], phi:[0.3333]] | t^3. + 8*t^4. + t^5. - 8*t^6. - t^4./y - t^4.*y | detail | {a: 7/12, c: 2/3, X1: 4/3, q1: 5/6, q2: 5/6, qb1: 1/2, qb2: 1/2, 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 |
---|---|---|---|---|---|---|---|---|---|
36 | SU2adj1nf2 | ${}$ | 0.7103 | 0.8462 | 0.8394 | [q:[0.5651, 0.5651], qb:[0.5651, 0.5651], phi:[0.4349]] | t^2.61 + 6*t^3.39 + 10*t^4.695 + t^5.219 - 10*t^6. - t^4.305/y - t^4.305*y | detail |