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 |
---|---|---|---|---|---|---|---|---|---|
45933 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 0.5768 | 0.6957 | 0.829 | [M:[1.0], q:[0.7872, 0.8322], qb:[0.3097, 0.5484], phi:[0.3806]] | [M:[[0]], q:[[9], [-7]], qb:[[1], [5]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{4}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | ${}\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$ | 0 | t^2.284 + t^2.574 + t^3. + t^3.291 + t^3.426 + t^3.716 + t^4.007 + t^4.142 + t^4.433 + t^4.567 + 2*t^4.858 + t^5.149 + t^5.574 + t^5.865 + 2*t^6.291 + 2*t^6.581 + t^6.716 + t^6.851 + 2*t^7.007 + t^7.142 + t^7.298 + 2*t^7.433 + 2*t^7.723 + t^8.014 + 2*t^8.149 + 2*t^8.439 - t^8.574 - t^8.709 + 3*t^8.865 - t^4.142/y - t^6.426/y + (2*t^7.858)/y + t^8.284/y + (2*t^8.574)/y + t^8.865/y - t^4.142*y - t^6.426*y + 2*t^7.858*y + t^8.284*y + 2*t^8.574*y + t^8.865*y | t^2.284/g1^4 + g1^6*t^2.574 + t^3. + g1^10*t^3.291 + t^3.426/g1^6 + g1^4*t^3.716 + g1^14*t^4.007 + t^4.142/g1^2 + g1^8*t^4.433 + t^4.567/g1^8 + 2*g1^2*t^4.858 + g1^12*t^5.149 + g1^6*t^5.574 + g1^16*t^5.865 + 2*g1^10*t^6.291 + 2*g1^20*t^6.581 + g1^4*t^6.716 + t^6.851/g1^12 + 2*g1^14*t^7.007 + t^7.142/g1^2 + g1^24*t^7.298 + 2*g1^8*t^7.433 + 2*g1^18*t^7.723 + g1^28*t^8.014 + 2*g1^12*t^8.149 + 2*g1^22*t^8.439 - g1^6*t^8.574 - t^8.709/g1^10 + 3*g1^16*t^8.865 - t^4.142/(g1^2*y) - t^6.426/(g1^6*y) + (2*g1^2*t^7.858)/y + t^8.284/(g1^4*y) + (2*g1^6*t^8.574)/y + (g1^16*t^8.865)/y - (t^4.142*y)/g1^2 - (t^6.426*y)/g1^6 + 2*g1^2*t^7.858*y + (t^8.284*y)/g1^4 + 2*g1^6*t^8.574*y + g1^16*t^8.865*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 |
---|---|---|---|---|---|---|---|---|
46042 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ | 0.588 | 0.713 | 0.8247 | [M:[1.0, 0.8478], q:[0.837, 0.7935], qb:[0.3152, 0.5761], phi:[0.3696]] | t^2.217 + t^2.543 + t^2.674 + t^3. + t^3.326 + t^3.783 + t^4.109 + t^4.239 + t^4.435 + t^4.565 + t^4.761 + 2*t^4.891 + t^5.087 + t^5.217 + t^5.348 + t^5.543 + t^5.87 - t^4.109/y - t^4.109*y | detail | {a: 1731/2944, c: 2099/2944, M1: 1, M2: 39/46, q1: 77/92, q2: 73/92, qb1: 29/92, qb2: 53/92, phi1: 17/46} |
46024 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 0.3472 | 0.394 | 0.881 | [X:[1.5], M:[1.0], q:[1.375, 0.375], qb:[0.375, 0.875], phi:[0.25]] | t^2.25 + t^3. + t^3.75 + t^4.5 + t^5.25 - t^3.75/y - t^3.75*y | detail | {a: 711/2048, c: 807/2048, X1: 3/2, M1: 1, q1: 11/8, q2: 3/8, qb1: 3/8, qb2: 7/8, phi1: 1/4} |
45987 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 0.5762 | 0.6934 | 0.831 | [M:[1.0], q:[0.8125, 0.8125], qb:[0.3125, 0.5625], phi:[0.375]] | t^2.25 + t^2.625 + t^3. + 2*t^3.375 + t^3.75 + 2*t^4.125 + 2*t^4.5 + 2*t^4.875 + t^5.25 + t^5.625 + t^6. - t^4.125/y - t^4.125*y | detail | {a: 9441/16384, c: 11361/16384, M1: 1, q1: 13/16, q2: 13/16, qb1: 5/16, qb2: 9/16, phi1: 3/8} |
46027 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 0.4324 | 0.4949 | 0.8737 | [X:[1.4286], M:[1.0], q:[1.2143, 0.5], qb:[0.3571, 0.7857], phi:[0.2857]] | t^2.571 + t^3. + t^3.429 + t^3.857 + t^4.286 + t^5.143 - t^3.857/y - t^3.857*y | detail | {a: 339/784, c: 97/196, X1: 10/7, M1: 1, q1: 17/14, q2: 1/2, qb1: 5/14, qb2: 11/14, phi1: 2/7} |
46039 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 0.5208 | 0.6042 | 0.8621 | [X:[1.3333], M:[1.0], q:[1.0, 0.6667], qb:[0.3333, 0.6667], phi:[0.3333]] | 3*t^3. + 4*t^4. + t^5. - t^6. - t^4./y - t^4.*y | detail | {a: 25/48, c: 29/48, X1: 4/3, M1: 1, q1: 1, q2: 2/3, qb1: 1/3, qb2: 2/3, 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 |
---|---|---|---|---|---|---|---|---|---|
45856 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}^{2}$ | 0.5776 | 0.6992 | 0.8261 | [M:[1.0], q:[0.8055, 0.8055], qb:[0.3055, 0.5273], phi:[0.3891]] | t^2.334 + t^2.498 + t^3. + 2*t^3.333 + t^3.666 + 2*t^3.998 + t^4.331 + t^4.669 + 2*t^4.833 + t^4.997 + t^5.498 + 2*t^5.831 - t^6. - t^4.167/y - t^4.167*y | detail |