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 =

Search for theories with rational R-charges and central 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
55690	SU2adj1nf3	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}q_{3}^{2}$	0.8366	1.0194	0.8207	[M:[0.8786], q:[0.7197, 0.7197, 0.7197], qb:[0.5328, 0.5328, 0.5328], phi:[0.5607]]	[M:[[0, 4, 4, 4]], q:[[-1, 2, 2, 2], [1, 0, 0, 0], [0, 1, 1, 1]], qb:[[0, 5, 0, 0], [0, 0, 5, 0], [0, 0, 0, 5]], phi:[[0, -2, -2, -2]]]	4

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{3}$, ${ }\tilde{q}_{2}\tilde{q}_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{3}\tilde{q}_{1}$, ${ }q_{3}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{3}$, ${ }q_{3}\tilde{q}_{3}$, ${ }q_{1}\tilde{q}_{3}$, ${ }q_{2}q_{3}$, ${ }q_{1}q_{2}$, ${ }q_{1}q_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{3}$, ${ }\phi_{1}\tilde{q}_{2}\tilde{q}_{3}$, ${ }\phi_{1}\tilde{q}_{3}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{3}$, ${ }M_{1}\tilde{q}_{2}\tilde{q}_{3}$	${}$	-12	t^2.636 + 3*t^3.197 + 9*t^3.757 + 3*t^4.318 + 6*t^4.879 + t^5.272 + 3*t^5.832 - 12*t^6. + 15*t^6.393 - 9*t^6.561 + 27*t^6.954 - 9*t^7.121 + 45*t^7.515 - 11*t^7.682 + t^7.908 + 30*t^8.075 + 3*t^8.468 + 18*t^8.636 + 6*t^8.803 - t^4.682/y + (3*t^8.832)/y - t^4.682*y + 3*t^8.832*y	g2^4*g3^4*g4^4*t^2.636 + g2^5*g3^5*t^3.197 + g2^5*g4^5*t^3.197 + g3^5*g4^5*t^3.197 + g1*g2^5*t^3.757 + g1*g3^5*t^3.757 + g2^6*g3*g4*t^3.757 + g2*g3^6*g4*t^3.757 + (g2^7*g3^2*g4^2*t^3.757)/g1 + (g2^2*g3^7*g4^2*t^3.757)/g1 + g1*g4^5*t^3.757 + g2*g3*g4^6*t^3.757 + (g2^2*g3^2*g4^7*t^3.757)/g1 + g1*g2*g3*g4*t^4.318 + g2^2*g3^2*g4^2*t^4.318 + (g2^3*g3^3*g4^3*t^4.318)/g1 + (g2^8*t^4.879)/(g3^2*g4^2) + (g2^3*g3^3*t^4.879)/g4^2 + (g3^8*t^4.879)/(g2^2*g4^2) + (g2^3*g4^3*t^4.879)/g3^2 + (g3^3*g4^3*t^4.879)/g2^2 + (g4^8*t^4.879)/(g2^2*g3^2) + g2^8*g3^8*g4^8*t^5.272 + g2^9*g3^9*g4^4*t^5.832 + g2^9*g3^4*g4^9*t^5.832 + g2^4*g3^9*g4^9*t^5.832 - 4*t^6. - (g2^5*t^6.)/g3^5 - (g3^5*t^6.)/g2^5 - (g2^5*t^6.)/g4^5 - (g3^5*t^6.)/g4^5 - (g1*t^6.)/(g2*g3*g4) - (g2*g3*g4*t^6.)/g1 - (g4^5*t^6.)/g2^5 - (g4^5*t^6.)/g3^5 + g2^10*g3^10*t^6.393 + g1*g2^9*g3^4*g4^4*t^6.393 + g1*g2^4*g3^9*g4^4*t^6.393 + 2*g2^10*g3^5*g4^5*t^6.393 + 2*g2^5*g3^10*g4^5*t^6.393 + (g2^11*g3^6*g4^6*t^6.393)/g1 + (g2^6*g3^11*g4^6*t^6.393)/g1 + g1*g2^4*g3^4*g4^9*t^6.393 + g2^10*g4^10*t^6.393 + 2*g2^5*g3^5*g4^10*t^6.393 + g3^10*g4^10*t^6.393 + (g2^6*g3^6*g4^11*t^6.393)/g1 - (g1*t^6.561)/g2^5 - (g1*t^6.561)/g3^5 - (g1*t^6.561)/g4^5 - (g2*g3*t^6.561)/g4^4 - (g2^2*g3^2*t^6.561)/(g1*g4^3) - (g2*g4*t^6.561)/g3^4 - (g3*g4*t^6.561)/g2^4 - (g2^2*g4^2*t^6.561)/(g1*g3^3) - (g3^2*g4^2*t^6.561)/(g1*g2^3) + g1*g2^10*g3^5*t^6.954 + g1*g2^5*g3^10*t^6.954 + g2^11*g3^6*g4*t^6.954 + g2^6*g3^11*g4*t^6.954 + (g2^12*g3^7*g4^2*t^6.954)/g1 + (g2^7*g3^12*g4^2*t^6.954)/g1 + g1*g2^10*g4^5*t^6.954 + 3*g1*g2^5*g3^5*g4^5*t^6.954 + g1*g3^10*g4^5*t^6.954 + g2^11*g3*g4^6*t^6.954 + 3*g2^6*g3^6*g4^6*t^6.954 + g2*g3^11*g4^6*t^6.954 + (g2^12*g3^2*g4^7*t^6.954)/g1 + (3*g2^7*g3^7*g4^7*t^6.954)/g1 + (g2^2*g3^12*g4^7*t^6.954)/g1 + g1*g2^5*g4^10*t^6.954 + g1*g3^5*g4^10*t^6.954 + g2^6*g3*g4^11*t^6.954 + g2*g3^6*g4^11*t^6.954 + (g2^7*g3^2*g4^12*t^6.954)/g1 + (g2^2*g3^7*g4^12*t^6.954)/g1 - (g1*g2*t^7.121)/(g3^4*g4^4) - (g1*g3*t^7.121)/(g2^4*g4^4) - (g2^2*t^7.121)/(g3^3*g4^3) - (g3^2*t^7.121)/(g2^3*g4^3) - (g2^3*t^7.121)/(g1*g3^2*g4^2) - (g3^3*t^7.121)/(g1*g2^2*g4^2) - (g1*g4*t^7.121)/(g2^4*g3^4) - (g4^2*t^7.121)/(g2^3*g3^3) - (g4^3*t^7.121)/(g1*g2^2*g3^2) + g1^2*g2^10*t^7.515 + g1^2*g2^5*g3^5*t^7.515 + g1^2*g3^10*t^7.515 + g1*g2^11*g3*g4*t^7.515 + 2*g1*g2^6*g3^6*g4*t^7.515 + g1*g2*g3^11*g4*t^7.515 + 2*g2^12*g3^2*g4^2*t^7.515 + 3*g2^7*g3^7*g4^2*t^7.515 + 2*g2^2*g3^12*g4^2*t^7.515 + (g2^13*g3^3*g4^3*t^7.515)/g1 + (2*g2^8*g3^8*g4^3*t^7.515)/g1 + (g2^3*g3^13*g4^3*t^7.515)/g1 + (g2^14*g3^4*g4^4*t^7.515)/g1^2 + (g2^9*g3^9*g4^4*t^7.515)/g1^2 + (g2^4*g3^14*g4^4*t^7.515)/g1^2 + g1^2*g2^5*g4^5*t^7.515 + g1^2*g3^5*g4^5*t^7.515 + 2*g1*g2^6*g3*g4^6*t^7.515 + 2*g1*g2*g3^6*g4^6*t^7.515 + 3*g2^7*g3^2*g4^7*t^7.515 + 3*g2^2*g3^7*g4^7*t^7.515 + (2*g2^8*g3^3*g4^8*t^7.515)/g1 + (2*g2^3*g3^8*g4^8*t^7.515)/g1 + (g2^9*g3^4*g4^9*t^7.515)/g1^2 + (g2^4*g3^9*g4^9*t^7.515)/g1^2 + g1^2*g4^10*t^7.515 + g1*g2*g3*g4^11*t^7.515 + 2*g2^2*g3^2*g4^12*t^7.515 + (g2^3*g3^3*g4^13*t^7.515)/g1 + (g2^4*g3^4*g4^14*t^7.515)/g1^2 - (g2^3*t^7.682)/(g3^2*g4^7) - (g3^3*t^7.682)/(g2^2*g4^7) - (g1*t^7.682)/(g2^3*g3^3*g4^3) - (g2^3*t^7.682)/(g3^7*g4^2) - (3*t^7.682)/(g2^2*g3^2*g4^2) - (g3^3*t^7.682)/(g2^7*g4^2) - t^7.682/(g1*g2*g3*g4) - (g4^3*t^7.682)/(g2^2*g3^7) - (g4^3*t^7.682)/(g2^7*g3^2) + g2^12*g3^12*g4^12*t^7.908 + (g2^13*g3^3*t^8.075)/g4^2 + (g2^8*g3^8*t^8.075)/g4^2 + (g2^3*g3^13*t^8.075)/g4^2 + g1^2*g2^6*g3*g4*t^8.075 + g1^2*g2*g3^6*g4*t^8.075 + g1*g2^7*g3^2*g4^2*t^8.075 + g1*g2^2*g3^7*g4^2*t^8.075 + (g2^13*g4^3*t^8.075)/g3^2 + 3*g2^8*g3^3*g4^3*t^8.075 + 3*g2^3*g3^8*g4^3*t^8.075 + (g3^13*g4^3*t^8.075)/g2^2 + (g2^9*g3^4*g4^4*t^8.075)/g1 + (g2^4*g3^9*g4^4*t^8.075)/g1 + (g2^10*g3^5*g4^5*t^8.075)/g1^2 + (g2^5*g3^10*g4^5*t^8.075)/g1^2 + g1^2*g2*g3*g4^6*t^8.075 + g1*g2^2*g3^2*g4^7*t^8.075 + (g2^8*g4^8*t^8.075)/g3^2 + 3*g2^3*g3^3*g4^8*t^8.075 + (g3^8*g4^8*t^8.075)/g2^2 + (g2^4*g3^4*g4^9*t^8.075)/g1 + (g2^5*g3^5*g4^10*t^8.075)/g1^2 + (g2^3*g4^13*t^8.075)/g3^2 + (g3^3*g4^13*t^8.075)/g2^2 + g2^13*g3^13*g4^8*t^8.468 + g2^13*g3^8*g4^13*t^8.468 + g2^8*g3^13*g4^13*t^8.468 + (g2^15*t^8.636)/g1 + (g2^10*g3^5*t^8.636)/g1 + (g2^5*g3^10*t^8.636)/g1 + (g3^15*t^8.636)/g1 + (g1*g2^13*t^8.636)/(g3^2*g4^2) + (g1*g2^8*g3^3*t^8.636)/g4^2 + (g1*g2^3*g3^8*t^8.636)/g4^2 + (g1*g3^13*t^8.636)/(g2^2*g4^2) + (g2^14*t^8.636)/(g3*g4) + (g3^14*t^8.636)/(g2*g4) + (g1*g2^8*g4^3*t^8.636)/g3^2 + (g1*g3^8*g4^3*t^8.636)/g2^2 - 3*g2^4*g3^4*g4^4*t^8.636 + (g2^10*g4^5*t^8.636)/g1 + (g3^10*g4^5*t^8.636)/g1 + (g1*g2^3*g4^8*t^8.636)/g3^2 + (g1*g3^3*g4^8*t^8.636)/g2^2 + (g2^5*g4^10*t^8.636)/g1 + (g3^5*g4^10*t^8.636)/g1 + (g1*g4^13*t^8.636)/(g2^2*g3^2) + (g4^14*t^8.636)/(g2*g3) + (g4^15*t^8.636)/g1 + t^8.803/g2^10 + t^8.803/g3^10 + t^8.803/(g2^5*g3^5) + t^8.803/g4^10 + t^8.803/(g2^5*g4^5) + t^8.803/(g3^5*g4^5) - t^4.682/(g2^2*g3^2*g4^2*y) + (g2^9*g3^9*g4^4*t^8.832)/y + (g2^9*g3^4*g4^9*t^8.832)/y + (g2^4*g3^9*g4^9*t^8.832)/y - (t^4.682*y)/(g2^2*g3^2*g4^2) + g2^9*g3^9*g4^4*t^8.832*y + g2^9*g3^4*g4^9*t^8.832*y + g2^4*g3^9*g4^9*t^8.832*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
55729	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}q_{3}^{2}$ + ${ }M_{1}^{2}$	0.8242	0.9805	0.8406	[M:[1.0], q:[0.75, 0.75, 0.75], qb:[0.5833, 0.5833, 0.5833], phi:[0.5]]	t^3. + 3*t^3.5 + 9*t^4. + 3*t^4.5 + 6*t^5. - 11*t^6. - t^4.5/y - t^4.5*y	detail	{a: 211/256, c: 251/256, M1: 1, q1: 3/4, q2: 3/4, q3: 3/4, qb1: 7/12, qb2: 7/12, qb3: 7/12, phi1: 1/2}
55726	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }\phi_{1}q_{3}^{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$	0.8564	1.0547	0.8119	[M:[0.8886, 0.7161], q:[0.7084, 0.7359, 0.7222], qb:[0.548, 0.5314, 0.5314], phi:[0.5557]]	t^2.148 + t^2.666 + t^3.188 + 2*t^3.238 + 2*t^3.719 + 2*t^3.761 + t^3.769 + 2*t^3.802 + t^3.81 + t^4.292 + t^4.297 + t^4.333 + t^4.374 + t^4.814 + 3*t^4.855 + 2*t^4.905 + t^4.955 + t^5.332 + t^5.337 + 2*t^5.387 + t^5.854 + 2*t^5.868 + 2*t^5.904 + 2*t^5.909 + t^5.918 - 6*t^6. - t^4.667/y - t^4.667*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
55447	SU2adj1nf3	${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}^{2}$	0.8544	1.0432	0.8191	[M:[0.8516], q:[0.7129, 0.7129, 0.5693], qb:[0.5693, 0.5693, 0.5693], phi:[0.5742]]	t^2.555 + 6*t^3.416 + 8*t^3.847 + t^4.277 + t^5.11 + 10*t^5.139 + 6*t^5.971 - 17*t^6. - t^4.723/y - t^4.723*y	detail