Landscape

Select a theory SU(2): 4 fund + 4 anti-fund (not completed) SU(2): 1 Adj + 1 fund + 1 anti-fund SU(2): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(2): 1 Adj + 3 fund + 3 anti-fund (not completed) SU(2): 2 Adj SU(2): 2 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(5): 2 rank-2 symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm + 1 fund + 1 anti-fund SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + (conj.) (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(6): 2 rank-2 symm + (conj.) SU(6): 2 rank-2 symm + 1 fund + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(7): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 8 fund (not completed) SU(7): 2 rank-2 symm + 1 fund + (conj.) (not completed) SU(8): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 9 fund + 1 anti-fund (not completed) SU(9): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 16 anti-fund (not completed) SU(9): 2 rank-2 symm + (conj.) (not completed) SU(9): 2 rank-2 symm + 1 fund (conj.) (not completed) SU(10): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 1 fund + 17 anti-fund (not completed) SO(5): 5 vector (not completed) SO(5): 1 Adj + 1 vector SO(5): 1 Adj + 2 vector SO(5): 1 rank-2 symm SO(5): 1 rank-2 symm + 1 vector SO(5): 1 rank-2 symm + 2 vector Sp(2): 1 Adj + 2 fund Sp(2): 1 14 + 2 fund Sp(2): 2 Adj Sp(2): 1 Adj + 2 rank-2 anti-symm + 8 fund (not completed) G2: 1 Adj + 1 fund E[USp(6)] (not completed) All theories Data used in arXiv:2408.02953

$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

id =

Check if you want only theories with rational charges.

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
1938	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$	0.6997	0.9172	0.7628	[M:[0.8275, 1.1725, 0.8275, 0.6927, 0.6725, 0.8261], q:[0.75, 0.4225], qb:[0.4036, 0.4239], phi:[0.5]]	[M:[[1, 1], [-1, -1], [1, 1], [-2, 0], [-1, -1], [0, -1]], q:[[0, 0], [-1, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }M_{4}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$	${}$	-2	t^2.017 + t^2.078 + 2*t^2.478 + 2*t^2.483 + t^2.539 + t^3. + t^3.461 + t^3.978 + 2*t^4.035 + t^4.039 + t^4.043 + t^4.096 + t^4.156 + 2*t^4.496 + 2*t^4.5 + 3*t^4.556 + 2*t^4.561 + t^4.617 + 3*t^4.957 + 4*t^4.961 + 3*t^4.965 + 3*t^5.017 + 2*t^5.022 + 2*t^5.078 + 3*t^5.478 + 2*t^5.483 + 2*t^5.539 + t^5.939 + t^5.944 - 2*t^6. - t^6.004 + 2*t^6.052 + t^6.056 + 2*t^6.113 + t^6.117 + t^6.122 + t^6.174 + t^6.234 + 2*t^6.457 + t^6.461 + 4*t^6.513 + 5*t^6.517 + 2*t^6.522 + 2*t^6.526 + 4*t^6.574 + 3*t^6.578 + t^6.582 + 3*t^6.635 + 2*t^6.639 + t^6.695 + 3*t^6.974 + 3*t^6.978 + t^6.983 + 6*t^7.035 + 5*t^7.039 + 3*t^7.043 + 4*t^7.096 + 2*t^7.1 + 2*t^7.156 + 4*t^7.435 + 5*t^7.439 + 4*t^7.444 + 4*t^7.448 + 5*t^7.496 + 3*t^7.5 + 2*t^7.504 + 4*t^7.556 + 2*t^7.561 + 3*t^7.617 + 4*t^7.957 + 3*t^7.961 + 2*t^7.965 + t^8.013 + t^8.022 + 3*t^8.069 + t^8.074 + t^8.087 + 2*t^8.13 + t^8.135 + 2*t^8.191 + t^8.195 + t^8.2 + t^8.252 + t^8.313 + t^8.418 + t^8.426 - 6*t^8.478 - 7*t^8.483 - 2*t^8.487 + 4*t^8.53 + 4*t^8.535 - 3*t^8.539 - t^8.543 + 6*t^8.591 + 5*t^8.596 + 2*t^8.6 + 2*t^8.604 + 4*t^8.652 + 3*t^8.656 + t^8.661 + 3*t^8.713 + 2*t^8.717 + t^8.773 + 3*t^8.935 + t^8.939 + 6*t^8.991 + 7*t^8.996 - t^4.5/y - t^6.517/y - t^6.578/y - t^6.978/y - t^6.983/y + t^7.096/y + (2*t^7.496)/y + (2*t^7.5)/y + (3*t^7.556)/y + (2*t^7.561)/y + t^7.617/y + t^7.957/y + (4*t^7.961)/y + t^7.965/y + (4*t^8.017)/y + (3*t^8.022)/y + t^8.078/y + t^8.422/y + (3*t^8.478)/y + (3*t^8.483)/y - t^8.535/y + (2*t^8.539)/y - t^8.596/y - t^8.656/y + (2*t^8.939)/y + (2*t^8.944)/y - t^4.5*y - t^6.517*y - t^6.578*y - t^6.978*y - t^6.983*y + t^7.096*y + 2*t^7.496*y + 2*t^7.5*y + 3*t^7.556*y + 2*t^7.561*y + t^7.617*y + t^7.957*y + 4*t^7.961*y + t^7.965*y + 4*t^8.017*y + 3*t^8.022*y + t^8.078*y + t^8.422*y + 3*t^8.478*y + 3*t^8.483*y - t^8.535*y + 2*t^8.539*y - t^8.596*y - t^8.656*y + 2*t^8.939*y + 2*t^8.944*y	t^2.017/(g1*g2) + t^2.078/g1^2 + (2*t^2.478)/g2 + 2*g1*g2*t^2.483 + t^2.539/g1 + t^3. + g1*t^3.461 + t^3.978/g2 + (2*t^4.035)/(g1^2*g2^2) + t^4.039/g1 + g2^2*t^4.043 + t^4.096/(g1^3*g2) + t^4.156/g1^4 + (2*t^4.496)/(g1*g2^2) + 2*t^4.5 + (3*t^4.556)/(g1^2*g2) + (2*g2*t^4.561)/g1 + t^4.617/g1^3 + (3*t^4.957)/g2^2 + 4*g1*t^4.961 + 3*g1^2*g2^2*t^4.965 + (3*t^5.017)/(g1*g2) + 2*g2*t^5.022 + (2*t^5.078)/g1^2 + (3*t^5.478)/g2 + 2*g1*g2*t^5.483 + (2*t^5.539)/g1 + (g1*t^5.939)/g2 + g1^2*g2*t^5.944 - 2*t^6. - g1*g2^2*t^6.004 + (2*t^6.052)/(g1^3*g2^3) + t^6.056/(g1^2*g2) + (2*t^6.113)/(g1^4*g2^2) + t^6.117/g1^3 + (g2^2*t^6.122)/g1^2 + t^6.174/(g1^5*g2) + t^6.234/g1^6 + (2*t^6.457)/g2^2 + g1*t^6.461 + (4*t^6.513)/(g1^2*g2^3) + (5*t^6.517)/(g1*g2) + 2*g2*t^6.522 + 2*g1*g2^3*t^6.526 + (4*t^6.574)/(g1^3*g2^2) + (3*t^6.578)/g1^2 + (g2^2*t^6.582)/g1 + (3*t^6.635)/(g1^4*g2) + (2*g2*t^6.639)/g1^3 + t^6.695/g1^5 + (3*t^6.974)/(g1*g2^3) + (3*t^6.978)/g2 + g1*g2*t^6.983 + (6*t^7.035)/(g1^2*g2^2) + (5*t^7.039)/g1 + 3*g2^2*t^7.043 + (4*t^7.096)/(g1^3*g2) + (2*g2*t^7.1)/g1^2 + (2*t^7.156)/g1^4 + (4*t^7.435)/g2^3 + (5*g1*t^7.439)/g2 + 4*g1^2*g2*t^7.444 + 4*g1^3*g2^3*t^7.448 + (5*t^7.496)/(g1*g2^2) + 3*t^7.5 + 2*g1*g2^2*t^7.504 + (4*t^7.556)/(g1^2*g2) + (2*g2*t^7.561)/g1 + (3*t^7.617)/g1^3 + (4*t^7.957)/g2^2 + 3*g1*t^7.961 + 2*g1^2*g2^2*t^7.965 + t^8.013/(g1^2*g2^3) + g2*t^8.022 + (3*t^8.069)/(g1^4*g2^4) + t^8.074/(g1^3*g2^2) + g2^4*t^8.087 + (2*t^8.13)/(g1^5*g2^3) + t^8.135/(g1^4*g2) + (2*t^8.191)/(g1^6*g2^2) + t^8.195/g1^5 + (g2^2*t^8.2)/g1^4 + t^8.252/(g1^7*g2) + t^8.313/g1^8 + (g1*t^8.418)/g2^2 + g1^3*g2^2*t^8.426 - (6*t^8.478)/g2 - 7*g1*g2*t^8.483 - 2*g1^2*g2^3*t^8.487 + (4*t^8.53)/(g1^3*g2^4) + (4*t^8.535)/(g1^2*g2^2) - (3*t^8.539)/g1 - g2^2*t^8.543 + (6*t^8.591)/(g1^4*g2^3) + (5*t^8.596)/(g1^3*g2) + (2*g2*t^8.6)/g1^2 + (2*g2^3*t^8.604)/g1 + (4*t^8.652)/(g1^5*g2^2) + (3*t^8.656)/g1^4 + (g2^2*t^8.661)/g1^3 + (3*t^8.713)/(g1^6*g2) + (2*g2*t^8.717)/g1^5 + t^8.773/g1^7 + (3*t^8.935)/g2^3 + (g1*t^8.939)/g2 + (6*t^8.991)/(g1^2*g2^4) + (7*t^8.996)/(g1*g2^2) - t^4.5/y - t^6.517/(g1*g2*y) - t^6.578/(g1^2*y) - t^6.978/(g2*y) - (g1*g2*t^6.983)/y + t^7.096/(g1^3*g2*y) + (2*t^7.496)/(g1*g2^2*y) + (2*t^7.5)/y + (3*t^7.556)/(g1^2*g2*y) + (2*g2*t^7.561)/(g1*y) + t^7.617/(g1^3*y) + t^7.957/(g2^2*y) + (4*g1*t^7.961)/y + (g1^2*g2^2*t^7.965)/y + (4*t^8.017)/(g1*g2*y) + (3*g2*t^8.022)/y + t^8.078/(g1^2*y) + (g1^2*t^8.422)/y + (3*t^8.478)/(g2*y) + (3*g1*g2*t^8.483)/y - t^8.535/(g1^2*g2^2*y) + (2*t^8.539)/(g1*y) - t^8.596/(g1^3*g2*y) - t^8.656/(g1^4*y) + (2*g1*t^8.939)/(g2*y) + (2*g1^2*g2*t^8.944)/y - t^4.5*y - (t^6.517*y)/(g1*g2) - (t^6.578*y)/g1^2 - (t^6.978*y)/g2 - g1*g2*t^6.983*y + (t^7.096*y)/(g1^3*g2) + (2*t^7.496*y)/(g1*g2^2) + 2*t^7.5*y + (3*t^7.556*y)/(g1^2*g2) + (2*g2*t^7.561*y)/g1 + (t^7.617*y)/g1^3 + (t^7.957*y)/g2^2 + 4*g1*t^7.961*y + g1^2*g2^2*t^7.965*y + (4*t^8.017*y)/(g1*g2) + 3*g2*t^8.022*y + (t^8.078*y)/g1^2 + g1^2*t^8.422*y + (3*t^8.478*y)/g2 + 3*g1*g2*t^8.483*y - (t^8.535*y)/(g1^2*g2^2) + (2*t^8.539*y)/g1 - (t^8.596*y)/(g1^3*g2) - (t^8.656*y)/g1^4 + (2*g1*t^8.939*y)/g2 + 2*g1^2*g2*t^8.944*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
2977	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$	0.7205	0.9585	0.7517	[M:[0.827, 1.173, 0.827, 0.692, 0.673, 0.827, 0.673], q:[0.75, 0.423], qb:[0.404, 0.423], phi:[0.5]]	2*t^2.019 + t^2.076 + 4*t^2.481 + t^2.538 + t^3. + t^3.462 + 6*t^4.038 + 2*t^4.095 + t^4.152 + 8*t^4.5 + 6*t^4.557 + t^4.614 + 10*t^4.962 + 6*t^5.019 + 2*t^5.076 + 6*t^5.481 + 2*t^5.538 + 2*t^5.943 - 4*t^6. - t^4.5/y - t^4.5*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
569	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	0.6855	0.8931	0.7675	[M:[0.8163, 1.1837, 0.8163, 0.6776, 0.6837], q:[0.75, 0.4337], qb:[0.4112, 0.4051], phi:[0.5]]	t^2.033 + t^2.051 + 2*t^2.449 + t^2.516 + t^2.535 + t^3. + t^3.465 + t^3.484 + t^3.931 + t^4.016 + t^4.035 + t^4.066 + t^4.084 + 2*t^4.102 + 2*t^4.482 + 2*t^4.5 + t^4.549 + 2*t^4.567 + t^4.586 + 3*t^4.898 + 2*t^4.965 + 2*t^4.984 + 2*t^5.033 + 2*t^5.051 + t^5.069 + 2*t^5.449 + t^5.498 + 3*t^5.516 + 2*t^5.535 + t^5.914 + t^5.933 + t^5.964 + t^5.982 - t^6. - t^4.5/y - t^4.5*y	detail