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
5095	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$	0.6294	0.818	0.7694	[M:[1.0178, 0.6864, 0.9822, 0.7219, 1.2781, 0.7219, 0.8876, 0.8166], q:[0.6391, 0.3432], qb:[0.3787, 0.9349], phi:[0.426]]	[M:[[14], [-22], [-14], [6], [-6], [6], [24], [-32]], q:[[-3], [-11]], qb:[[17], [5]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{4}$, ${ }M_{6}$, ${ }M_{8}$, ${ }\phi_{1}^{2}$, ${ }M_{7}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{8}$, ${ }M_{4}M_{8}$, ${ }M_{6}M_{8}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{8}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{3}M_{8}$, ${ }M_{1}M_{8}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{7}$, ${ }M_{3}^{2}$, ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$	${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$	-1	t^2.059 + 2*t^2.166 + t^2.45 + t^2.556 + t^2.663 + t^2.947 + t^3.053 + t^3.444 + t^4.118 + 2*t^4.225 + 3*t^4.331 + t^4.509 + 3*t^4.615 + 4*t^4.722 + 2*t^4.828 + t^4.899 + 2*t^5.006 + 5*t^5.112 + 3*t^5.219 + t^5.325 + t^5.396 + 2*t^5.503 + 3*t^5.609 + t^5.716 + t^5.893 - t^6. + t^6.107 + t^6.177 + 2*t^6.284 + 2*t^6.391 + 3*t^6.497 + t^6.568 + 3*t^6.675 + 5*t^6.781 + 4*t^6.888 + t^6.959 + 2*t^6.994 + 4*t^7.065 + 7*t^7.172 + 8*t^7.278 + t^7.349 + 5*t^7.385 + 2*t^7.456 + 2*t^7.491 + 6*t^7.562 + 6*t^7.669 + 7*t^7.775 + t^7.846 + 3*t^7.882 + 2*t^7.953 + t^7.988 + t^8.059 - t^8.166 + t^8.237 + 2*t^8.272 + 3*t^8.343 + t^8.379 - t^8.556 + t^8.627 + 3*t^8.734 + t^8.769 + 4*t^8.84 - t^4.278/y - t^6.337/y - t^6.444/y - t^6.728/y - t^6.834/y - t^6.941/y + (2*t^7.225)/y + t^7.331/y + t^7.509/y + (4*t^7.615)/y + (4*t^7.722)/y + (3*t^7.828)/y + (2*t^8.006)/y + (5*t^8.112)/y + (4*t^8.219)/y + (2*t^8.503)/y + (3*t^8.609)/y + t^8.716/y - t^8.787/y - t^8.893/y - t^4.278*y - t^6.337*y - t^6.444*y - t^6.728*y - t^6.834*y - t^6.941*y + 2*t^7.225*y + t^7.331*y + t^7.509*y + 4*t^7.615*y + 4*t^7.722*y + 3*t^7.828*y + 2*t^8.006*y + 5*t^8.112*y + 4*t^8.219*y + 2*t^8.503*y + 3*t^8.609*y + t^8.716*y - t^8.787*y - t^8.893*y	t^2.059/g1^22 + 2*g1^6*t^2.166 + t^2.45/g1^32 + t^2.556/g1^4 + g1^24*t^2.663 + t^2.947/g1^14 + g1^14*t^3.053 + g1^4*t^3.444 + t^4.118/g1^44 + (2*t^4.225)/g1^16 + 3*g1^12*t^4.331 + t^4.509/g1^54 + (3*t^4.615)/g1^26 + 4*g1^2*t^4.722 + 2*g1^30*t^4.828 + t^4.899/g1^64 + (2*t^5.006)/g1^36 + (5*t^5.112)/g1^8 + 3*g1^20*t^5.219 + g1^48*t^5.325 + t^5.396/g1^46 + (2*t^5.503)/g1^18 + 3*g1^10*t^5.609 + g1^38*t^5.716 + t^5.893/g1^28 - t^6. + g1^28*t^6.107 + t^6.177/g1^66 + (2*t^6.284)/g1^38 + (2*t^6.391)/g1^10 + 3*g1^18*t^6.497 + t^6.568/g1^76 + (3*t^6.675)/g1^48 + (5*t^6.781)/g1^20 + 4*g1^8*t^6.888 + t^6.959/g1^86 + 2*g1^36*t^6.994 + (4*t^7.065)/g1^58 + (7*t^7.172)/g1^30 + (8*t^7.278)/g1^2 + t^7.349/g1^96 + 5*g1^26*t^7.385 + (2*t^7.456)/g1^68 + 2*g1^54*t^7.491 + (6*t^7.562)/g1^40 + (6*t^7.669)/g1^12 + 7*g1^16*t^7.775 + t^7.846/g1^78 + 3*g1^44*t^7.882 + (2*t^7.953)/g1^50 + g1^72*t^7.988 + t^8.059/g1^22 - g1^6*t^8.166 + t^8.237/g1^88 + 2*g1^34*t^8.272 + (3*t^8.343)/g1^60 + g1^62*t^8.379 - t^8.556/g1^4 + t^8.627/g1^98 + (3*t^8.734)/g1^70 + g1^52*t^8.769 + (4*t^8.84)/g1^42 - t^4.278/(g1^2*y) - t^6.337/(g1^24*y) - (g1^4*t^6.444)/y - t^6.728/(g1^34*y) - t^6.834/(g1^6*y) - (g1^22*t^6.941)/y + (2*t^7.225)/(g1^16*y) + (g1^12*t^7.331)/y + t^7.509/(g1^54*y) + (4*t^7.615)/(g1^26*y) + (4*g1^2*t^7.722)/y + (3*g1^30*t^7.828)/y + (2*t^8.006)/(g1^36*y) + (5*t^8.112)/(g1^8*y) + (4*g1^20*t^8.219)/y + (2*t^8.503)/(g1^18*y) + (3*g1^10*t^8.609)/y + (g1^38*t^8.716)/y - t^8.787/(g1^56*y) - t^8.893/(g1^28*y) - (t^4.278*y)/g1^2 - (t^6.337*y)/g1^24 - g1^4*t^6.444*y - (t^6.728*y)/g1^34 - (t^6.834*y)/g1^6 - g1^22*t^6.941*y + (2*t^7.225*y)/g1^16 + g1^12*t^7.331*y + (t^7.509*y)/g1^54 + (4*t^7.615*y)/g1^26 + 4*g1^2*t^7.722*y + 3*g1^30*t^7.828*y + (2*t^8.006*y)/g1^36 + (5*t^8.112*y)/g1^8 + 4*g1^20*t^8.219*y + (2*t^8.503*y)/g1^18 + 3*g1^10*t^8.609*y + g1^38*t^8.716*y - (t^8.787*y)/g1^56 - (t^8.893*y)/g1^28

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
6698	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{8}^{2}$	0.6042	0.7878	0.767	[M:[0.9375, 0.8125, 1.0625, 0.6875, 1.3125, 0.6875, 0.75, 1.0], q:[0.6563, 0.4063], qb:[0.2813, 0.9063], phi:[0.4375]]	2*t^2.063 + t^2.25 + t^2.438 + t^2.625 + t^2.813 + t^3. + t^3.188 + t^3.375 + 3*t^4.125 + 2*t^4.313 + 3*t^4.5 + 4*t^4.688 + 4*t^4.875 + 4*t^5.063 + 5*t^5.25 + 4*t^5.438 + 3*t^5.625 + 2*t^5.813 - t^4.313/y - t^4.313*y	detail	{a: 79197/131072, c: 103261/131072, M1: 15/16, M2: 13/16, M3: 17/16, M4: 11/16, M5: 21/16, M6: 11/16, M7: 3/4, M8: 1, q1: 21/32, q2: 13/32, qb1: 9/32, qb2: 29/32, phi1: 7/16}

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
3199	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$	0.6156	0.7946	0.7748	[M:[0.9952, 0.7218, 1.0048, 0.7122, 1.2878, 0.7122, 0.8489], q:[0.6439, 0.3609], qb:[0.3513, 0.9269], phi:[0.4293]]	2*t^2.137 + t^2.165 + t^2.547 + t^2.576 + t^2.986 + t^3.014 + t^3.396 + t^3.424 + 3*t^4.273 + 2*t^4.302 + t^4.331 + 2*t^4.684 + 4*t^4.712 + t^4.741 + t^5.094 + 3*t^5.122 + 4*t^5.151 + t^5.18 + 3*t^5.532 + 4*t^5.561 + t^5.59 + t^5.943 + 2*t^5.971 - t^6. - t^4.288/y - t^4.288*y	detail