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
4847	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{2}^{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}q_{1}\tilde{q}_{1}$	0.6307	0.8208	0.7684	[M:[0.9181, 1.0, 1.1783, 0.7398, 1.2602, 0.8217, 0.7398, 0.6988], q:[0.5819, 0.5], qb:[0.2398, 0.7602], phi:[0.4795]]	[M:[[-8], [0], [-7], [-1], [1], [7], [-1], [-5]], q:[[8], [0]], qb:[[-1], [1]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{8}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{6}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{8}^{2}$, ${ }M_{4}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}M_{8}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{8}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{8}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$	${}$	-3	t^2.096 + 2*t^2.219 + t^2.465 + t^2.754 + 2*t^2.877 + t^3. + t^3.658 + t^4.026 + t^4.193 + 2*t^4.316 + 4*t^4.439 + t^4.561 + 3*t^4.684 + t^4.851 + 2*t^4.93 + 3*t^4.974 + 5*t^5.096 + 2*t^5.219 + 2*t^5.342 + t^5.465 + t^5.509 + 2*t^5.631 + 4*t^5.754 + 3*t^5.877 - 3*t^6. + t^6.123 + t^6.289 + 2*t^6.412 + t^6.491 + 5*t^6.535 + 5*t^6.658 + t^6.781 + 5*t^6.904 + t^6.947 + t^7.026 + 3*t^7.07 + 4*t^7.149 + 6*t^7.193 + 10*t^7.316 + 2*t^7.395 + 3*t^7.439 + 3*t^7.561 + t^7.605 + 2*t^7.684 + 3*t^7.728 + 2*t^7.807 + 6*t^7.851 + t^7.93 + 8*t^7.974 + 3*t^8.096 - 4*t^8.219 + t^8.263 + 3*t^8.386 - 5*t^8.465 + 6*t^8.509 + 8*t^8.631 + 6*t^8.754 - t^8.877 + 2*t^8.956 - t^4.439/y - t^6.535/y - t^6.658/y - t^7.193/y + t^7.316/y + t^7.439/y + (2*t^7.561)/y + (3*t^7.684)/y + t^7.851/y + (4*t^7.974)/y + (5*t^8.096)/y + (4*t^8.219)/y + (3*t^8.342)/y + t^8.465/y + t^8.631/y + (2*t^8.754)/y + (3*t^8.877)/y - t^4.439*y - t^6.535*y - t^6.658*y - t^7.193*y + t^7.316*y + t^7.439*y + 2*t^7.561*y + 3*t^7.684*y + t^7.851*y + 4*t^7.974*y + 5*t^8.096*y + 4*t^8.219*y + 3*t^8.342*y + t^8.465*y + t^8.631*y + 2*t^8.754*y + 3*t^8.877*y	t^2.096/g1^5 + (2*t^2.219)/g1 + g1^7*t^2.465 + t^2.754/g1^8 + (2*t^2.877)/g1^4 + t^3. + t^3.658/g1^3 + g1^9*t^4.026 + t^4.193/g1^10 + (2*t^4.316)/g1^6 + (4*t^4.439)/g1^2 + g1^2*t^4.561 + 3*g1^6*t^4.684 + t^4.851/g1^13 + 2*g1^14*t^4.93 + (3*t^4.974)/g1^9 + (5*t^5.096)/g1^5 + (2*t^5.219)/g1 + 2*g1^3*t^5.342 + g1^7*t^5.465 + t^5.509/g1^16 + (2*t^5.631)/g1^12 + (4*t^5.754)/g1^8 + (3*t^5.877)/g1^4 - 3*t^6. + g1^4*t^6.123 + t^6.289/g1^15 + (2*t^6.412)/g1^11 + g1^16*t^6.491 + (5*t^6.535)/g1^7 + (5*t^6.658)/g1^3 + g1*t^6.781 + 5*g1^5*t^6.904 + t^6.947/g1^18 + g1^9*t^7.026 + (3*t^7.07)/g1^14 + 4*g1^13*t^7.149 + (6*t^7.193)/g1^10 + (10*t^7.316)/g1^6 + 2*g1^21*t^7.395 + (3*t^7.439)/g1^2 + 3*g1^2*t^7.561 + t^7.605/g1^21 + 2*g1^6*t^7.684 + (3*t^7.728)/g1^17 + 2*g1^10*t^7.807 + (6*t^7.851)/g1^13 + g1^14*t^7.93 + (8*t^7.974)/g1^9 + (3*t^8.096)/g1^5 - (4*t^8.219)/g1 + t^8.263/g1^24 + (3*t^8.386)/g1^20 - 5*g1^7*t^8.465 + (6*t^8.509)/g1^16 + (8*t^8.631)/g1^12 + (6*t^8.754)/g1^8 - t^8.877/g1^4 + 2*g1^23*t^8.956 - t^4.439/(g1^2*y) - t^6.535/(g1^7*y) - t^6.658/(g1^3*y) - t^7.193/(g1^10*y) + t^7.316/(g1^6*y) + t^7.439/(g1^2*y) + (2*g1^2*t^7.561)/y + (3*g1^6*t^7.684)/y + t^7.851/(g1^13*y) + (4*t^7.974)/(g1^9*y) + (5*t^8.096)/(g1^5*y) + (4*t^8.219)/(g1*y) + (3*g1^3*t^8.342)/y + (g1^7*t^8.465)/y + t^8.631/(g1^12*y) + (2*t^8.754)/(g1^8*y) + (3*t^8.877)/(g1^4*y) - (t^4.439*y)/g1^2 - (t^6.535*y)/g1^7 - (t^6.658*y)/g1^3 - (t^7.193*y)/g1^10 + (t^7.316*y)/g1^6 + (t^7.439*y)/g1^2 + 2*g1^2*t^7.561*y + 3*g1^6*t^7.684*y + (t^7.851*y)/g1^13 + (4*t^7.974*y)/g1^9 + (5*t^8.096*y)/g1^5 + (4*t^8.219*y)/g1 + 3*g1^3*t^8.342*y + g1^7*t^8.465*y + (t^8.631*y)/g1^12 + (2*t^8.754*y)/g1^8 + (3*t^8.877*y)/g1^4

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
6506	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{2}^{2}$ + ${ }M_{5}M_{7}$ + ${ }M_{8}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{9}$	0.6253	0.8117	0.7704	[M:[0.9644, 1.0, 1.2189, 0.7456, 1.2544, 0.7811, 0.7456, 0.7278, 1.0356], q:[0.5356, 0.5], qb:[0.2456, 0.7544], phi:[0.4911]]	t^2.183 + 2*t^2.237 + t^2.343 + 2*t^2.947 + t^3. + t^3.107 + t^3.71 + t^3.87 + t^4.367 + 2*t^4.42 + 4*t^4.473 + t^4.527 + 3*t^4.58 + 2*t^4.687 + t^5.13 + 5*t^5.183 + t^5.237 + 3*t^5.29 + 3*t^5.343 + t^5.45 + 3*t^5.893 + 3*t^5.947 - 3*t^6. - t^4.473/y - t^4.473*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
2655	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{2}^{2}$ + ${ }M_{5}M_{7}$	0.6102	0.7815	0.7808	[M:[0.9241, 1.0, 1.1836, 0.7405, 1.2595, 0.8164, 0.7405], q:[0.5759, 0.5], qb:[0.2405, 0.7595], phi:[0.481]]	2*t^2.222 + t^2.449 + t^2.772 + 2*t^2.886 + t^3. + t^3.665 + t^3.892 + t^4.006 + 4*t^4.443 + 3*t^4.671 + 2*t^4.898 + t^4.994 + 4*t^5.108 + 2*t^5.222 + 2*t^5.335 + t^5.449 + t^5.545 + 2*t^5.659 + 3*t^5.772 + 3*t^5.886 - 3*t^6. - t^4.443/y - t^4.443*y	detail