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
55054	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$	0.7046	0.8662	0.8135	[M:[0.9999, 1.0679, 1.0001, 0.8644, 0.9321, 0.9321, 1.0339], q:[0.4322, 0.5679], qb:[0.4999, 0.5677], phi:[0.4831]]	[M:[[8, 0], [-12, 4], [-8, 0], [16, -8], [12, -4], [12, -4], [-2, 2]], 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
${}M_{4}$, ${ }M_{5}$, ${ }M_{6}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{7}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{1}M_{4}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{1}^{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$	${}$	-3	t^2.593 + 2*t^2.796 + 2*t^3. + t^3.102 + t^3.203 + t^4.042 + t^4.246 + 3*t^4.449 + t^4.652 + t^4.653 + t^4.855 + t^4.856 + t^4.857 + t^5.186 + 2*t^5.39 + 3*t^5.593 + t^5.695 + 2*t^5.796 + 2*t^5.898 + 2*t^5.999 - 3*t^6. + t^6.101 + t^6.102 - t^6.204 + t^6.305 + t^6.406 - 2*t^6.407 + t^6.635 + 3*t^6.839 + 4*t^7.042 + t^7.043 + 5*t^7.245 + t^7.246 + 5*t^7.449 + t^7.45 + 4*t^7.652 + t^7.653 + t^7.779 + 2*t^7.855 + t^7.857 + 2*t^7.983 + t^8.058 + t^8.085 + 3*t^8.186 + 2*t^8.288 + 4*t^8.389 - 2*t^8.39 + 4*t^8.491 + t^8.492 - 2*t^8.593 + 5*t^8.694 + t^8.695 - 6*t^8.796 - t^8.797 + 7*t^8.898 + t^8.899 + 2*t^8.999 - t^4.449/y - t^7.042/y - t^7.246/y + t^7.653/y + t^7.856/y + (2*t^8.39)/y + (3*t^8.593)/y + t^8.695/y + (3*t^8.796)/y + (2*t^8.797)/y + (2*t^8.898)/y + (2*t^8.999)/y - t^4.449*y - t^7.042*y - t^7.246*y + t^7.653*y + t^7.856*y + 2*t^8.39*y + 3*t^8.593*y + t^8.695*y + 3*t^8.796*y + 2*t^8.797*y + 2*t^8.898*y + 2*t^8.999*y	(g1^16*t^2.593)/g2^8 + (2*g1^12*t^2.796)/g2^4 + t^3./g1^8 + g1^8*t^3. + (g2^2*t^3.102)/g1^2 + g1^4*g2^4*t^3.203 + (g1^17*t^4.042)/g2^9 + (g1^13*t^4.246)/g2^5 + t^4.449/(g1^7*g2) + (2*g1^9*t^4.449)/g2 + g1^5*g2^3*t^4.652 + (g2^3*t^4.653)/g1^11 + g1*g2^7*t^4.855 + (g2^7*t^4.856)/g1^15 + (g2^7*t^4.857)/g1^31 + (g1^32*t^5.186)/g2^16 + (2*g1^28*t^5.39)/g2^12 + (3*g1^24*t^5.593)/g2^8 + (g1^14*t^5.695)/g2^6 + (2*g1^20*t^5.796)/g2^4 + (2*g1^10*t^5.898)/g2^2 + 2*g1^16*t^5.999 - 3*t^6. + g1^6*g2^2*t^6.101 + (g2^2*t^6.102)/g1^10 - (g2^4*t^6.203)/g1^4 + g1^12*g2^4*t^6.203 - (g2^4*t^6.204)/g1^20 + g1^2*g2^6*t^6.305 + g1^8*g2^8*t^6.406 - (g2^8*t^6.407)/g1^24 - (g2^8*t^6.407)/g1^8 + (g1^33*t^6.635)/g2^17 + (3*g1^29*t^6.839)/g2^13 + (4*g1^25*t^7.042)/g2^9 + (g1^9*t^7.043)/g2^9 + (5*g1^21*t^7.245)/g2^5 + (g1^5*t^7.246)/g2^5 + (g1*t^7.449)/g2 + (4*g1^17*t^7.449)/g2 + t^7.45/(g1^15*g2) + 4*g1^13*g2^3*t^7.652 + (g2^3*t^7.653)/g1^19 + (g1^48*t^7.779)/g2^24 + 2*g1^9*g2^7*t^7.855 + (g2^7*t^7.857)/g1^39 + (2*g1^44*t^7.983)/g2^20 + g1^5*g2^11*t^8.058 + (g1^34*t^8.085)/g2^18 + (3*g1^40*t^8.186)/g2^16 + (2*g1^30*t^8.288)/g2^14 + (4*g1^36*t^8.389)/g2^12 - (2*g1^20*t^8.39)/g2^12 + (4*g1^26*t^8.491)/g2^10 + (g1^10*t^8.492)/g2^10 - (5*g1^16*t^8.593)/g2^8 + (3*g1^32*t^8.593)/g2^8 + (5*g1^22*t^8.694)/g2^6 + (g1^6*t^8.695)/g2^6 - (9*g1^12*t^8.796)/g2^4 + (3*g1^28*t^8.796)/g2^4 - t^8.797/(g1^4*g2^4) + (2*g1^2*t^8.898)/g2^2 + (5*g1^18*t^8.898)/g2^2 + t^8.899/(g1^14*g2^2) + 2*g1^24*t^8.999 - (g1*t^4.449)/(g2*y) - (g1^17*t^7.042)/(g2^9*y) - (g1^13*t^7.246)/(g2^5*y) + (g2^3*t^7.653)/(g1^11*y) + (g2^7*t^7.856)/(g1^15*y) + (2*g1^28*t^8.39)/(g2^12*y) + (g1^8*t^8.593)/(g2^8*y) + (2*g1^24*t^8.593)/(g2^8*y) + (g1^14*t^8.695)/(g2^6*y) + (3*g1^20*t^8.796)/(g2^4*y) + (2*g1^4*t^8.797)/(g2^4*y) + (2*g1^10*t^8.898)/(g2^2*y) + (2*g1^16*t^8.999)/y - (g1*t^4.449*y)/g2 - (g1^17*t^7.042*y)/g2^9 - (g1^13*t^7.246*y)/g2^5 + (g2^3*t^7.653*y)/g1^11 + (g2^7*t^7.856*y)/g1^15 + (2*g1^28*t^8.39*y)/g2^12 + (g1^8*t^8.593*y)/g2^8 + (2*g1^24*t^8.593*y)/g2^8 + (g1^14*t^8.695*y)/g2^6 + (3*g1^20*t^8.796*y)/g2^4 + (2*g1^4*t^8.797*y)/g2^4 + (2*g1^10*t^8.898*y)/g2^2 + 2*g1^16*t^8.999*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
56757	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}\phi_{1}^{2}$ + ${ }M_{8}\tilde{q}_{1}\tilde{q}_{2}$	0.7139	0.8819	0.8095	[M:[1.0354, 1.0636, 0.9646, 0.8374, 0.9364, 0.9364, 1.0495, 0.8655], q:[0.4187, 0.5459], qb:[0.5177, 0.6168], phi:[0.4752]]	t^2.512 + t^2.597 + 2*t^2.809 + t^2.894 + t^3.106 + t^3.149 + t^3.938 + t^4.235 + t^4.319 + 2*t^4.532 + t^4.617 + t^4.701 + t^4.829 + t^4.914 + t^5.024 + t^5.109 + t^5.126 + t^5.193 + 2*t^5.321 + 2*t^5.406 + t^5.49 + 3*t^5.618 + t^5.661 + t^5.703 + t^5.745 + t^5.916 + 2*t^5.958 - 3*t^6. - t^4.426/y - t^4.426*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
47052	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{2}M_{6}$	0.708	0.8721	0.8119	[M:[1.0068, 1.0721, 0.9932, 0.8491, 0.9279, 0.9279], q:[0.4245, 0.5687], qb:[0.5034, 0.5822], phi:[0.4803]]	t^2.547 + 2*t^2.784 + t^2.882 + t^2.98 + t^3.02 + t^3.257 + t^3.988 + t^4.225 + t^4.421 + 2*t^4.461 + t^4.657 + t^4.698 + t^4.853 + t^4.894 + t^4.934 + t^5.095 + 2*t^5.331 + t^5.429 + 3*t^5.568 + 2*t^5.666 + t^5.764 + 2*t^5.804 + t^5.861 + t^5.902 - 3*t^6. - t^4.441/y - t^4.441*y	detail