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
1467	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}^{2}$	0.7129	0.8776	0.8123	[M:[1.0543, 0.837, 0.8913, 1.0, 1.0, 0.8913, 1.0543], q:[0.5272, 0.4185], qb:[0.5815, 0.5815], phi:[0.4728]]	[M:[[2, 2], [-6, -6], [-7, -1], [3, -3], [-3, 3], [-1, -7], [2, 2]], q:[[1, 1], [-3, -3]], qb:[[6, 0], [0, 6]], phi:[[-1, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{2}$, ${ }M_{6}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{1}$, ${ }M_{7}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{3}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{3}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{7}$	${}M_{4}^{2}$, ${ }M_{5}^{2}$	-3	t^2.511 + 2*t^2.674 + 2*t^3. + 2*t^3.163 + t^3.93 + t^4.256 + 2*t^4.419 + t^4.581 + 2*t^4.744 + 3*t^4.907 + t^5.022 + 2*t^5.185 + 3*t^5.348 + 5*t^5.674 + 2*t^5.837 - 3*t^6. + 2*t^6.163 + t^6.326 + t^6.441 - 2*t^6.489 + 2*t^6.604 + t^6.767 + 4*t^6.93 + 5*t^7.093 + 2*t^7.256 + 6*t^7.419 + t^7.533 + 6*t^7.581 + 2*t^7.696 - t^7.744 + 4*t^7.859 + 4*t^7.907 + 4*t^8.022 + 2*t^8.07 + 2*t^8.185 - 2*t^8.233 + 8*t^8.348 - t^8.511 - 6*t^8.674 + 7*t^8.837 + t^8.952 - t^4.419/y - t^6.93/y - (2*t^7.093)/y + t^7.256/y - t^7.581/y + (2*t^7.744)/y + t^7.907/y + (2*t^8.185)/y + t^8.348/y + (2*t^8.511)/y + (6*t^8.674)/y + (4*t^8.837)/y - t^4.419*y - t^6.93*y - 2*t^7.093*y + t^7.256*y - t^7.581*y + 2*t^7.744*y + t^7.907*y + 2*t^8.185*y + t^8.348*y + 2*t^8.511*y + 6*t^8.674*y + 4*t^8.837*y	t^2.511/(g1^6*g2^6) + t^2.674/(g1*g2^7) + t^2.674/(g1^7*g2) + (g1^3*t^3.)/g2^3 + (g2^3*t^3.)/g1^3 + 2*g1^2*g2^2*t^3.163 + t^3.93/(g1^7*g2^7) + t^4.256/(g1^3*g2^3) + (g1^2*t^4.419)/g2^4 + (g2^2*t^4.419)/g1^4 + g1*g2*t^4.581 + g1^6*t^4.744 + g2^6*t^4.744 + (g1^11*t^4.907)/g2 + g1^5*g2^5*t^4.907 + (g2^11*t^4.907)/g1 + t^5.022/(g1^12*g2^12) + t^5.185/(g1^7*g2^13) + t^5.185/(g1^13*g2^7) + t^5.348/(g1^2*g2^14) + t^5.348/(g1^8*g2^8) + t^5.348/(g1^14*g2^2) + (g1^2*t^5.674)/g2^10 + (3*t^5.674)/(g1^4*g2^4) + (g2^2*t^5.674)/g1^10 + (g1*t^5.837)/g2^5 + (g2*t^5.837)/g1^5 - 3*t^6. + (g1^5*t^6.163)/g2 + (g2^5*t^6.163)/g1 + g1^4*g2^4*t^6.326 + t^6.441/(g1^13*g2^13) - g1^9*g2^3*t^6.489 - g1^3*g2^9*t^6.489 + t^6.604/(g1^8*g2^14) + t^6.604/(g1^14*g2^8) + t^6.767/(g1^9*g2^9) + (2*t^6.93)/(g1^4*g2^10) + (2*t^6.93)/(g1^10*g2^4) + (g1*t^7.093)/g2^11 + (3*t^7.093)/(g1^5*g2^5) + (g2*t^7.093)/g1^11 + t^7.256/g1^6 + t^7.256/g2^6 + (2*g1^5*t^7.419)/g2^7 + (2*t^7.419)/(g1*g2) + (2*g2^5*t^7.419)/g1^7 + t^7.533/(g1^18*g2^18) + (g1^10*t^7.581)/g2^8 + (2*g1^4*t^7.581)/g2^2 + (2*g2^4*t^7.581)/g1^2 + (g2^10*t^7.581)/g1^8 + t^7.696/(g1^13*g2^19) + t^7.696/(g1^19*g2^13) - g1^3*g2^3*t^7.744 + t^7.859/(g1^8*g2^20) + (2*t^7.859)/(g1^14*g2^14) + t^7.859/(g1^20*g2^8) + (g1^14*t^7.907)/g2^4 + g1^8*g2^2*t^7.907 + g1^2*g2^8*t^7.907 + (g2^14*t^7.907)/g1^4 + t^8.022/(g1^3*g2^21) + t^8.022/(g1^9*g2^15) + t^8.022/(g1^15*g2^9) + t^8.022/(g1^21*g2^3) + g1^13*g2*t^8.07 + g1*g2^13*t^8.07 + (2*t^8.185)/(g1^10*g2^10) - g1^12*g2^6*t^8.233 - g1^6*g2^12*t^8.233 + (g1*t^8.348)/g2^17 + (3*t^8.348)/(g1^5*g2^11) + (3*t^8.348)/(g1^11*g2^5) + (g2*t^8.348)/g1^17 + t^8.511/g1^12 + t^8.511/g2^12 - (3*t^8.511)/(g1^6*g2^6) - (3*t^8.674)/(g1*g2^7) - (3*t^8.674)/(g1^7*g2) + (2*g1^4*t^8.837)/g2^8 + (3*t^8.837)/(g1^2*g2^2) + (2*g2^4*t^8.837)/g1^8 + t^8.952/(g1^19*g2^19) - t^4.419/(g1*g2*y) - t^6.93/(g1^7*g2^7*y) - t^7.093/(g1^2*g2^8*y) - t^7.093/(g1^8*g2^2*y) + t^7.256/(g1^3*g2^3*y) - (g1*g2*t^7.581)/y + (g1^6*t^7.744)/y + (g2^6*t^7.744)/y + (g1^5*g2^5*t^7.907)/y + t^8.185/(g1^7*g2^13*y) + t^8.185/(g1^13*g2^7*y) + t^8.348/(g1^8*g2^8*y) + t^8.511/(g1^3*g2^9*y) + t^8.511/(g1^9*g2^3*y) + (g1^2*t^8.674)/(g2^10*y) + (4*t^8.674)/(g1^4*g2^4*y) + (g2^2*t^8.674)/(g1^10*y) + (2*g1*t^8.837)/(g2^5*y) + (2*g2*t^8.837)/(g1^5*y) - (t^4.419*y)/(g1*g2) - (t^6.93*y)/(g1^7*g2^7) - (t^7.093*y)/(g1^2*g2^8) - (t^7.093*y)/(g1^8*g2^2) + (t^7.256*y)/(g1^3*g2^3) - g1*g2*t^7.581*y + g1^6*t^7.744*y + g2^6*t^7.744*y + g1^5*g2^5*t^7.907*y + (t^8.185*y)/(g1^7*g2^13) + (t^8.185*y)/(g1^13*g2^7) + (t^8.348*y)/(g1^8*g2^8) + (t^8.511*y)/(g1^3*g2^9) + (t^8.511*y)/(g1^9*g2^3) + (g1^2*t^8.674*y)/g2^10 + (4*t^8.674*y)/(g1^4*g2^4) + (g2^2*t^8.674*y)/g1^10 + (2*g1*t^8.837*y)/g2^5 + (2*g2*t^8.837*y)/g1^5

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
2580	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$	0.6735	0.8436	0.7984	[M:[1.0886, 0.7343, 0.9621, 0.8607, 1.1393, 0.6836, 1.0886], q:[0.5443, 0.3671], qb:[0.4936, 0.7721], phi:[0.4557]]	t^2.051 + t^2.203 + t^2.582 + t^2.886 + 2*t^3.266 + t^3.418 + t^3.57 + t^3.949 + 2*t^4.101 + t^4.253 + t^4.329 + t^4.406 + t^4.481 + 2*t^4.633 + t^4.785 + t^4.937 + t^5.089 + t^5.164 + 2*t^5.316 + 3*t^5.469 + t^5.621 + 2*t^5.773 + t^5.848 - t^6. - t^4.367/y - t^4.367*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
952	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$	0.7182	0.8876	0.8092	[M:[1.0601, 0.8198, 0.8798, 1.0, 1.0, 0.8798], q:[0.53, 0.4099], qb:[0.5901, 0.5901], phi:[0.47]]	t^2.459 + 2*t^2.64 + t^2.82 + 2*t^3. + t^3.18 + t^3.869 + t^4.23 + 2*t^4.41 + t^4.59 + 2*t^4.77 + t^4.919 + 3*t^4.951 + 2*t^5.099 + 4*t^5.279 + 2*t^5.459 + 5*t^5.64 + 2*t^5.82 - 2*t^6. - t^4.41/y - t^4.41*y	detail