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
56543	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$ + ${ }M_{2}M_{8}$	0.7059	0.8668	0.8143	[M:[1.0273, 1.0545, 0.9727, 0.8637, 0.9455, 0.9727, 1.0409, 0.9455], q:[0.4319, 0.5408], qb:[0.5137, 0.5955], phi:[0.4796]]	[M:[[8, 0], [-12, 4], [-8, 0], [16, -8], [12, -4], [-8, 0], [-2, 2], [12, -4]], q:[[8, -4], [-16, 4]], qb:[[4, 0], [0, 4]], phi:[[1, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }M_{5}$, ${ }M_{8}$, ${ }M_{3}$, ${ }M_{6}$, ${ }M_{7}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{8}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{3}M_{8}$, ${ }M_{6}M_{8}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}M_{8}$	${}$	-4	t^2.591 + 2*t^2.837 + 2*t^2.918 + t^3.123 + t^3.327 + t^4.03 + t^4.275 + t^4.357 + 2*t^4.521 + t^4.602 + t^4.683 + t^4.766 + t^4.847 + t^5.011 + t^5.182 + 2*t^5.428 + t^5.509 + 2*t^5.673 + t^5.714 + 2*t^5.755 + 2*t^5.836 + 2*t^5.959 - 4*t^6. + 2*t^6.041 - t^6.081 + t^6.164 - t^6.327 + t^6.45 - t^6.491 + t^6.621 + t^6.655 + 3*t^6.867 + 2*t^6.948 + 3*t^7.112 + 2*t^7.193 + 2*t^7.275 + 4*t^7.357 + 2*t^7.439 + 2*t^7.52 + 2*t^7.601 + 2*t^7.603 + t^7.774 + 3*t^7.848 + 2*t^8.019 + t^8.06 + t^8.093 + t^8.1 + 2*t^8.264 + 2*t^8.305 + t^8.339 + t^8.387 + t^8.427 + 2*t^8.51 + 4*t^8.551 - 3*t^8.591 + 2*t^8.632 + t^8.673 + t^8.713 + 2*t^8.754 + 4*t^8.796 - 9*t^8.837 + 4*t^8.877 - 8*t^8.918 + 3*t^8.959 - 2*t^8.999 - t^4.439/y - t^7.03/y - t^7.275/y - t^7.357/y + t^7.521/y + t^7.602/y + t^7.847/y + (2*t^8.428)/y + (2*t^8.509)/y + t^8.673/y + t^8.714/y + (4*t^8.755)/y + t^8.836/y + t^8.919/y + (2*t^8.959)/y - t^4.439*y - t^7.03*y - t^7.275*y - t^7.357*y + t^7.521*y + t^7.602*y + t^7.847*y + 2*t^8.428*y + 2*t^8.509*y + t^8.673*y + t^8.714*y + 4*t^8.755*y + t^8.836*y + t^8.919*y + 2*t^8.959*y	(g1^16*t^2.591)/g2^8 + (2*g1^12*t^2.837)/g2^4 + (2*t^2.918)/g1^8 + (g2^2*t^3.123)/g1^2 + g1^4*g2^4*t^3.327 + (g1^17*t^4.03)/g2^9 + (g1^13*t^4.275)/g2^5 + t^4.357/(g1^7*g2) + (2*g1^9*t^4.521)/g2 + (g2^3*t^4.602)/g1^11 + (g2^7*t^4.683)/g1^31 + g1^5*g2^3*t^4.766 + (g2^7*t^4.847)/g1^15 + g1*g2^7*t^5.011 + (g1^32*t^5.182)/g2^16 + (2*g1^28*t^5.428)/g2^12 + (g1^8*t^5.509)/g2^8 + (2*g1^24*t^5.673)/g2^8 + (g1^14*t^5.714)/g2^6 + (2*g1^4*t^5.755)/g2^4 + (2*t^5.836)/g1^16 + (2*g1^10*t^5.959)/g2^2 - 4*t^6. + (2*g2^2*t^6.041)/g1^10 - (g2^4*t^6.081)/g1^20 + g1^16*t^6.164 - (g2^8*t^6.327)/g1^24 + g1^2*g2^6*t^6.45 - (g2^8*t^6.491)/g1^8 + (g1^33*t^6.621)/g2^17 + g1^8*g2^8*t^6.655 + (3*g1^29*t^6.867)/g2^13 + (2*g1^9*t^6.948)/g2^9 + (3*g1^25*t^7.112)/g2^9 + (2*g1^5*t^7.193)/g2^5 + (2*t^7.275)/(g1^15*g2) + (4*g1^21*t^7.357)/g2^5 + (2*g1*t^7.439)/g2 + (2*g2^3*t^7.52)/g1^19 + (2*g2^7*t^7.601)/g1^39 + (2*g1^17*t^7.603)/g2 + (g1^48*t^7.774)/g2^24 + 3*g1^13*g2^3*t^7.848 + (2*g1^44*t^8.019)/g2^20 + (g1^34*t^8.06)/g2^18 + g1^9*g2^7*t^8.093 + (g1^24*t^8.1)/g2^16 + (2*g1^40*t^8.264)/g2^16 + (2*g1^30*t^8.305)/g2^14 + g1^5*g2^11*t^8.339 + (g1^10*t^8.387)/g2^10 + t^8.427/g2^8 + (2*g1^36*t^8.51)/g2^12 + (4*g1^26*t^8.551)/g2^10 - (3*g1^16*t^8.591)/g2^8 + (2*g1^6*t^8.632)/g2^6 + t^8.673/(g1^4*g2^4) + t^8.713/(g1^14*g2^2) + (2*t^8.754)/g1^24 + (4*g1^22*t^8.796)/g2^6 - (9*g1^12*t^8.837)/g2^4 + (4*g1^2*t^8.877)/g2^2 - (8*t^8.918)/g1^8 + (3*g2^2*t^8.959)/g1^18 - (2*g2^4*t^8.999)/g1^28 - (g1*t^4.439)/(g2*y) - (g1^17*t^7.03)/(g2^9*y) - (g1^13*t^7.275)/(g2^5*y) - t^7.357/(g1^7*g2*y) + (g1^9*t^7.521)/(g2*y) + (g2^3*t^7.602)/(g1^11*y) + (g2^7*t^7.847)/(g1^15*y) + (2*g1^28*t^8.428)/(g2^12*y) + (2*g1^8*t^8.509)/(g2^8*y) + (g1^24*t^8.673)/(g2^8*y) + (g1^14*t^8.714)/(g2^6*y) + (4*g1^4*t^8.755)/(g2^4*y) + t^8.836/(g1^16*y) + (g1^20*t^8.919)/(g2^4*y) + (2*g1^10*t^8.959)/(g2^2*y) - (g1*t^4.439*y)/g2 - (g1^17*t^7.03*y)/g2^9 - (g1^13*t^7.275*y)/g2^5 - (t^7.357*y)/(g1^7*g2) + (g1^9*t^7.521*y)/g2 + (g2^3*t^7.602*y)/g1^11 + (g2^7*t^7.847*y)/g1^15 + (2*g1^28*t^8.428*y)/g2^12 + (2*g1^8*t^8.509*y)/g2^8 + (g1^24*t^8.673*y)/g2^8 + (g1^14*t^8.714*y)/g2^6 + (4*g1^4*t^8.755*y)/g2^4 + (t^8.836*y)/g1^16 + (g1^20*t^8.919*y)/g2^4 + (2*g1^10*t^8.959*y)/g2^2

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

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
53794	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$	0.7018	0.8592	0.8168	[M:[1.0398, 1.0329, 0.9602, 0.8944, 0.9671, 0.9602, 1.0363], q:[0.4472, 0.513], qb:[0.5199, 0.5926], phi:[0.4818]]	t^2.683 + 2*t^2.881 + t^2.901 + t^3.099 + t^3.109 + t^3.337 + t^4.129 + t^4.326 + t^4.347 + t^4.523 + t^4.544 + 2*t^4.565 + t^4.762 + t^4.783 + t^5.001 + t^5.367 + t^5.564 + t^5.585 + 2*t^5.761 + t^5.782 + t^5.792 + t^5.979 + 2*t^5.99 - 3*t^6. - t^4.445/y - t^4.445*y	detail