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 H0+H1 (not completed) 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
48177	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ + ${ }M_{5}\phi_{1}^{2}$	0.7061	0.8639	0.8173	[M:[0.9001, 1.05, 1.0, 0.8501, 1.05], q:[0.5, 0.5999], qb:[0.45, 0.55], phi:[0.475]]	[M:[[-4], [2], [0], [-6], [2]], q:[[0], [4]], qb:[[-2], [2]], phi:[[-1]]]

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{2}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{5}$	${}$	-3	t^2.55 + t^2.7 + t^3. + 4*t^3.15 + t^4.125 + t^4.275 + 2*t^4.425 + 2*t^4.575 + 2*t^4.725 + t^4.875 + t^5.025 + t^5.1 + t^5.25 + t^5.4 + 3*t^5.7 + t^5.85 - 3*t^6. + t^6.15 + 7*t^6.3 - t^6.45 + t^6.675 + 2*t^6.825 + 2*t^6.975 + 3*t^7.125 + 4*t^7.275 + 3*t^7.425 + 4*t^7.575 + t^7.651 + 4*t^7.725 + t^7.801 + 3*t^7.875 + t^7.951 + 2*t^8.025 + t^8.1 + 2*t^8.175 + 3*t^8.25 + 2*t^8.4 - 2*t^8.7 + 4*t^8.85 - t^4.425/y - t^6.975/y - t^7.125/y + t^7.275/y - t^7.575/y + t^7.725/y + t^7.875/y + t^8.25/y + t^8.55/y + (5*t^8.7)/y + (4*t^8.85)/y - t^4.425*y - t^6.975*y - t^7.125*y + t^7.275*y - t^7.575*y + t^7.725*y + t^7.875*y + t^8.25*y + t^8.55*y + 5*t^8.7*y + 4*t^8.85*y	t^2.55/g1^6 + t^2.7/g1^4 + t^3. + 4*g1^2*t^3.15 + t^4.125/g1^5 + t^4.275/g1^3 + (2*t^4.425)/g1 + 2*g1*t^4.575 + 2*g1^3*t^4.725 + g1^5*t^4.875 + g1^7*t^5.025 + t^5.1/g1^12 + t^5.25/g1^10 + t^5.4/g1^8 + (3*t^5.7)/g1^4 + t^5.85/g1^2 - 3*t^6. + g1^2*t^6.15 + 7*g1^4*t^6.3 - g1^6*t^6.45 + t^6.675/g1^11 + (2*t^6.825)/g1^9 + (2*t^6.975)/g1^7 + (3*t^7.125)/g1^5 + (4*t^7.275)/g1^3 + (3*t^7.425)/g1 + 4*g1*t^7.575 + t^7.651/g1^18 + 4*g1^3*t^7.725 + t^7.801/g1^16 + 3*g1^5*t^7.875 + t^7.951/g1^14 + 2*g1^7*t^8.025 + t^8.1/g1^12 + 2*g1^9*t^8.175 + (3*t^8.25)/g1^10 + (2*t^8.4)/g1^8 - (2*t^8.7)/g1^4 + (4*t^8.85)/g1^2 - t^4.425/(g1*y) - t^6.975/(g1^7*y) - t^7.125/(g1^5*y) + t^7.275/(g1^3*y) - (g1*t^7.575)/y + (g1^3*t^7.725)/y + (g1^5*t^7.875)/y + t^8.25/(g1^10*y) + t^8.55/(g1^6*y) + (5*t^8.7)/(g1^4*y) + (4*t^8.85)/(g1^2*y) - (t^4.425*y)/g1 - (t^6.975*y)/g1^7 - (t^7.125*y)/g1^5 + (t^7.275*y)/g1^3 - g1*t^7.575*y + g1^3*t^7.725*y + g1^5*t^7.875*y + (t^8.25*y)/g1^10 + (t^8.55*y)/g1^6 + (5*t^8.7*y)/g1^4 + (4*t^8.85*y)/g1^2

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
46668	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$	0.711	0.8727	0.8148	[M:[0.8853, 1.0574, 1.0, 0.8279], q:[0.5, 0.6147], qb:[0.4426, 0.5574], phi:[0.4713]]	t^2.484 + t^2.656 + t^2.828 + t^3. + 3*t^3.172 + t^4.07 + t^4.242 + 2*t^4.414 + 2*t^4.586 + 2*t^4.758 + t^4.93 + t^4.968 + t^5.102 + t^5.14 + 2*t^5.312 + t^5.484 + 3*t^5.656 + t^5.828 - t^4.414/y - t^4.414*y	detail