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
818	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$	0.6252	0.8098	0.7721	[M:[1.0, 1.0237, 0.9525, 1.0237, 0.7441, 0.7441], q:[0.7559, 0.2441], qb:[0.5237, 0.5237], phi:[0.4881]]	[M:[[0, 0], [4, 4], [-8, -8], [4, 4], [-5, 3], [3, -5]], q:[[1, 1], [-1, -1]], qb:[[8, 0], [0, 8]], phi:[[-2, -2]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{6}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{4}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{5}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{5}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{4}$	${}$	-5	2*t^2.232 + 2*t^2.303 + t^2.858 + t^3. + 2*t^3.071 + 2*t^3.839 + 3*t^4.464 + 4*t^4.536 + 6*t^4.607 + 2*t^5.09 + 2*t^5.232 + 6*t^5.303 + 4*t^5.375 + t^5.715 + t^5.858 + t^5.929 - 5*t^6. + 5*t^6.071 + 6*t^6.142 - 2*t^6.625 + 4*t^6.697 + 2*t^6.768 + 10*t^6.839 + 12*t^6.91 + 3*t^7.322 + t^7.464 + 5*t^7.536 + 10*t^7.607 + 12*t^7.678 + 2*t^7.947 + 2*t^8.09 + 2*t^8.161 - 12*t^8.232 - 4*t^8.303 + 10*t^8.375 + 14*t^8.446 + t^8.573 + t^8.715 + t^8.786 - 6*t^8.858 + 5*t^8.929 - t^4.464/y - (2*t^6.697)/y - t^7.322/y + t^7.393/y + t^7.464/y + (3*t^7.536)/y + (2*t^7.607)/y + (2*t^8.09)/y + (2*t^8.161)/y + (4*t^8.232)/y + (6*t^8.303)/y + (4*t^8.375)/y + t^8.858/y - t^8.929/y - t^4.464*y - 2*t^6.697*y - t^7.322*y + t^7.393*y + t^7.464*y + 3*t^7.536*y + 2*t^7.607*y + 2*t^8.09*y + 2*t^8.161*y + 4*t^8.232*y + 6*t^8.303*y + 4*t^8.375*y + t^8.858*y - t^8.929*y	(g1^3*t^2.232)/g2^5 + (g2^3*t^2.232)/g1^5 + (g1^7*t^2.303)/g2 + (g2^7*t^2.303)/g1 + t^2.858/(g1^8*g2^8) + t^3. + 2*g1^4*g2^4*t^3.071 + g1^9*g2*t^3.839 + g1*g2^9*t^3.839 + (g1^6*t^4.464)/g2^10 + t^4.464/(g1^2*g2^2) + (g2^6*t^4.464)/g1^10 + (g1^10*t^4.536)/g2^6 + 2*g1^2*g2^2*t^4.536 + (g2^10*t^4.536)/g1^6 + (2*g1^14*t^4.607)/g2^2 + 2*g1^6*g2^6*t^4.607 + (2*g2^14*t^4.607)/g1^2 + t^5.09/(g1^5*g2^13) + t^5.09/(g1^13*g2^5) + (g1^3*t^5.232)/g2^5 + (g2^3*t^5.232)/g1^5 + (3*g1^7*t^5.303)/g2 + (3*g2^7*t^5.303)/g1 + 2*g1^11*g2^3*t^5.375 + 2*g1^3*g2^11*t^5.375 + t^5.715/(g1^16*g2^16) + t^5.858/(g1^8*g2^8) + t^5.929/(g1^4*g2^4) - 3*t^6. - (g1^8*t^6.)/g2^8 - (g2^8*t^6.)/g1^8 + (g1^12*t^6.071)/g2^4 + 3*g1^4*g2^4*t^6.071 + (g2^12*t^6.071)/g1^4 + g1^16*t^6.142 + 4*g1^8*g2^8*t^6.142 + g2^16*t^6.142 - t^6.625/(g1^3*g2^11) - t^6.625/(g1^11*g2^3) + (g1^9*t^6.697)/g2^15 + (g1*t^6.697)/g2^7 + (g2*t^6.697)/g1^7 + (g2^9*t^6.697)/g1^15 + (g1^13*t^6.768)/g2^11 + (g2^13*t^6.768)/g1^11 + (2*g1^17*t^6.839)/g2^7 + 3*g1^9*g2*t^6.839 + 3*g1*g2^9*t^6.839 + (2*g2^17*t^6.839)/g1^7 + (2*g1^21*t^6.91)/g2^3 + 4*g1^13*g2^5*t^6.91 + 4*g1^5*g2^13*t^6.91 + (2*g2^21*t^6.91)/g1^3 + t^7.322/(g1^2*g2^18) + t^7.322/(g1^10*g2^10) + t^7.322/(g1^18*g2^2) + (g1^6*t^7.464)/g2^10 - t^7.464/(g1^2*g2^2) + (g2^6*t^7.464)/g1^10 + (2*g1^10*t^7.536)/g2^6 + g1^2*g2^2*t^7.536 + (2*g2^10*t^7.536)/g1^6 + (3*g1^14*t^7.607)/g2^2 + 4*g1^6*g2^6*t^7.607 + (3*g2^14*t^7.607)/g1^2 + 4*g1^18*g2^2*t^7.678 + 4*g1^10*g2^10*t^7.678 + 4*g1^2*g2^18*t^7.678 + t^7.947/(g1^13*g2^21) + t^7.947/(g1^21*g2^13) + t^8.09/(g1^5*g2^13) + t^8.09/(g1^13*g2^5) + t^8.161/(g1*g2^9) + t^8.161/(g1^9*g2) - (g1^11*t^8.232)/g2^13 - (5*g1^3*t^8.232)/g2^5 - (5*g2^3*t^8.232)/g1^5 - (g2^11*t^8.232)/g1^13 - (2*g1^7*t^8.303)/g2 - (2*g2^7*t^8.303)/g1 + (g1^19*t^8.375)/g2^5 + 4*g1^11*g2^3*t^8.375 + 4*g1^3*g2^11*t^8.375 + (g2^19*t^8.375)/g1^5 + (2*g1^23*t^8.446)/g2 + 5*g1^15*g2^7*t^8.446 + 5*g1^7*g2^15*t^8.446 + (2*g2^23*t^8.446)/g1 + t^8.573/(g1^24*g2^24) + t^8.715/(g1^16*g2^16) + t^8.786/(g1^12*g2^12) - t^8.858/g1^16 - t^8.858/g2^16 - (4*t^8.858)/(g1^8*g2^8) + (g1^12*t^8.929)/g2^20 + (g1^4*t^8.929)/g2^12 + t^8.929/(g1^4*g2^4) + (g2^4*t^8.929)/g1^12 + (g2^12*t^8.929)/g1^20 - t^4.464/(g1^2*g2^2*y) - (g1*t^6.697)/(g2^7*y) - (g2*t^6.697)/(g1^7*y) - t^7.322/(g1^10*g2^10*y) + t^7.393/(g1^6*g2^6*y) + t^7.464/(g1^2*g2^2*y) + (g1^10*t^7.536)/(g2^6*y) + (g1^2*g2^2*t^7.536)/y + (g2^10*t^7.536)/(g1^6*y) + (2*g1^6*g2^6*t^7.607)/y + t^8.09/(g1^5*g2^13*y) + t^8.09/(g1^13*g2^5*y) + t^8.161/(g1*g2^9*y) + t^8.161/(g1^9*g2*y) + (2*g1^3*t^8.232)/(g2^5*y) + (2*g2^3*t^8.232)/(g1^5*y) + (3*g1^7*t^8.303)/(g2*y) + (3*g2^7*t^8.303)/(g1*y) + (2*g1^11*g2^3*t^8.375)/y + (2*g1^3*g2^11*t^8.375)/y + t^8.858/(g1^8*g2^8*y) - (g1^4*t^8.929)/(g2^12*y) + t^8.929/(g1^4*g2^4*y) - (g2^4*t^8.929)/(g1^12*y) - (t^4.464*y)/(g1^2*g2^2) - (g1*t^6.697*y)/g2^7 - (g2*t^6.697*y)/g1^7 - (t^7.322*y)/(g1^10*g2^10) + (t^7.393*y)/(g1^6*g2^6) + (t^7.464*y)/(g1^2*g2^2) + (g1^10*t^7.536*y)/g2^6 + g1^2*g2^2*t^7.536*y + (g2^10*t^7.536*y)/g1^6 + 2*g1^6*g2^6*t^7.607*y + (t^8.09*y)/(g1^5*g2^13) + (t^8.09*y)/(g1^13*g2^5) + (t^8.161*y)/(g1*g2^9) + (t^8.161*y)/(g1^9*g2) + (2*g1^3*t^8.232*y)/g2^5 + (2*g2^3*t^8.232*y)/g1^5 + (3*g1^7*t^8.303*y)/g2 + (3*g2^7*t^8.303*y)/g1 + 2*g1^11*g2^3*t^8.375*y + 2*g1^3*g2^11*t^8.375*y + (t^8.858*y)/(g1^8*g2^8) - (g1^4*t^8.929*y)/g2^12 + (t^8.929*y)/(g1^4*g2^4) - (g2^4*t^8.929*y)/g1^12

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
2012	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$	0.6455	0.8475	0.7616	[M:[1.0, 1.0299, 0.9402, 1.0299, 0.7372, 0.7478, 0.7073], q:[0.7575, 0.2425], qb:[0.5352, 0.5246], phi:[0.4851]]	t^2.122 + t^2.212 + t^2.244 + t^2.301 + t^2.333 + t^2.821 + t^3. + 2*t^3.09 + t^3.846 + t^4.244 + t^4.334 + t^4.366 + 2*t^4.423 + 2*t^4.455 + t^4.487 + t^4.513 + 2*t^4.545 + t^4.577 + 2*t^4.603 + 2*t^4.634 + 2*t^4.666 + t^4.943 + t^5.032 + t^5.064 + t^5.122 + 3*t^5.212 + t^5.244 + 3*t^5.301 + 3*t^5.333 + 2*t^5.391 + 2*t^5.423 + t^5.641 + t^5.821 + t^5.91 - 3*t^6. - t^4.455/y - t^4.455*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
523	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$	0.6062	0.7757	0.7814	[M:[1.0, 1.0213, 0.9573, 1.0213, 0.7341], q:[0.7553, 0.2447], qb:[0.5319, 0.5108], phi:[0.4893]]	t^2.202 + t^2.266 + t^2.33 + t^2.872 + t^3. + 2*t^3.064 + t^3.734 + t^3.798 + t^3.862 + t^4.405 + t^4.469 + t^4.532 + 2*t^4.533 + 2*t^4.596 + 2*t^4.659 + t^5.074 + t^5.202 + 3*t^5.266 + 3*t^5.33 + 2*t^5.394 + t^5.744 + t^5.872 + t^5.936 - 3*t^6. - t^4.468/y - t^4.468*y	detail